diff --git "a/data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Analysis.Calculus.ContDiff.Basic.sym.json" "b/data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Analysis.Calculus.ContDiff.Basic.sym.json" new file mode 100644--- /dev/null +++ "b/data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Analysis.Calculus.ContDiff.Basic.sym.json" @@ -0,0 +1 @@ +[{"isProp":true,"kind":"theorem","name":["LinearIsometryEquiv","norm_iteratedFDerivWithin_comp_right"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23)] {s : Set.{u_2} E} (g : LinearIsometryEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6)))))) G E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.12)) (f : E -> F), (UniqueDiffOn.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9)))) s) -> (forall {x : G}, (Membership.mem.{u_2, u_2} E (Set.{u_2} E) (Set.instMembership.{u_2} E) s (DFunLike.coe.{max (succ u_4) (succ u_2), succ u_4, succ u_2} (LinearIsometryEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6)))))) G E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.12)) G (fun (a._@._internal._hyg.0 : G) => E) (EquivLike.toFunLike.{max (succ u_4) (succ u_2), succ u_4, succ u_2} (LinearIsometryEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} οΏ½οΏ½ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6)))))) G E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.12)) G E (LinearIsometryEquiv.instEquivLike.{u_1, u_1, u_4, u_2} π•œ π•œ G E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6)))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.12))) g x)) -> (forall (i : Nat), Eq.{1} Real (Norm.norm.{max u_3 u_4} (ContinuousMultilinearMap.{u_1, 0, u_4, u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => G) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.16))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.16))))) (ContinuousMultilinearMap.hasOpNorm'.{u_1, 0, u_4, u_3} π•œ (Fin i) G F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6 (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.26 (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.19 (Fin.fintype i)) (iteratedFDerivWithin.{u_1, u_4, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.26 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.19 i (Function.comp.{succ u_4, succ u_2, succ u_3} G E F f (DFunLike.coe.{max (succ u_4) (succ u_2), succ u_4, succ u_2} (LinearIsometryEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.12)) G (fun (a._@._internal._hyg.0 : G) => E) (EquivLike.toFunLike.{max (succ u_4) (succ u_2), succ u_4, succ u_2} (LinearIsometryEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.12))) g)) (Set.preimage.{u_4, u_2} G E (DFunLike.coe.{max (succ u_4) (succ u_2), succ u_4, succ u_2} (LinearIsometryEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.12)) G (fun (a._@._internal._hyg.0 : G) => E) (EquivLike.toFunLike.{max (succ u_4) (succ u_2), succ u_4, succ u_2} (LinearIsometryEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ 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(Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6)))))) G E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.12)) G E (LinearIsometryEquiv.instEquivLike.{u_1, u_1, u_4, u_2} π•œ π•œ G E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6)))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.12))) g) s) x)) (Norm.norm.{max u_3 u_2} (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.16))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.16))))) (ContinuousMultilinearMap.hasOpNorm'.{u_1, 0, u_2, u_3} π•œ (Fin i) E F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6 (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.12 (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.19 (Fin.fintype i)) (iteratedFDerivWithin.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.19 i f s (DFunLike.coe.{max (succ u_4) (succ u_2), succ u_4, succ u_2} (LinearIsometryEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6)))))) G E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.12)) G (fun (a._@._internal._hyg.0 : G) => E) (EquivLike.toFunLike.{max (succ u_4) (succ u_2), succ u_4, succ u_2} (LinearIsometryEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6)))))) G E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.12)) G E (LinearIsometryEquiv.instEquivLike.{u_1, u_1, u_4, u_2} π•œ π•œ G E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1092894051._hygCtx._hyg.12))) g x)))))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} (g : G ≃ₗᡒ[π•œ] E) (f : E β†’ F),\n UniqueDiffOn π•œ s β†’\n βˆ€ {x : G},\n g x ∈ s β†’ βˆ€ (i : β„•), β€–iteratedFDerivWithin π•œ i (f ∘ ⇑g) (⇑g ⁻¹' s) xβ€– = β€–iteratedFDerivWithin π•œ i f s (g x)β€–","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} (g : G ≃ₗᡒ[π•œ] E) (f : E β†’ F),\n UniqueDiffOn π•œ s β†’\n βˆ€ {x : G},\n g x ∈ s β†’ βˆ€ (i : β„•), β€–iteratedFDerivWithin π•œ i (f ∘ οΏ½οΏ½g) (⇑g ⁻¹' s) xβ€– = β€–iteratedFDerivWithin π•œ i f s (g x)β€–","typeReferences":[["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["Membership","mem"],["LinearIsometryEquiv","instEquivLike"],["Fin"],["Fin","fintype"],["NormedAddCommGroup","toAddCommGroup"],["DFunLike","coe"],["NontriviallyNormedField","toNormedField"],["Semiring","toNonAssocSemiring"],["NormedField","toField"],["NontriviallyNormedField"],["RingHom","id"],["NormedSpace"],["EquivLike","toFunLike"],["NormedAddCommGroup"],["LinearIsometryEquiv"],["Semifield","toDivisionSemiring"],["Eq"],["Set","preimage"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["Norm","norm"],["Real"],["Set"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["Function","comp"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["UniqueDiffOn"],["Set","instMembership"],["Nat"],["iteratedFDerivWithin"],["ContinuousMultilinearMap","hasOpNorm'"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["Field","toSemifield"],["RingHomInvPair","ids"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["PseudoMetricSpace","toUniformSpace"],["ContinuousMultilinearMap","hasOpNorm"],["UniformSpace","toTopologicalSpace"],["LinearIsometryEquiv","instEquivLike"],["Fin"],["DFunLike","coe"],["Fin","fintype"],["congrArg"],["NontriviallyNormedField","toNormedField"],["LinearIsometryEquiv","toContinuousLinearEquiv"],["Semiring","toNonAssocSemiring"],["NormedField","toField"],["RingHom","id"],["EquivLike","toFunLike"],["ContinuousLinearEquiv","iteratedFDerivWithin_comp_right"],["LinearIsometryEquiv"],["Semifield","toDivisionSemiring"],["Eq"],["Set","preimage"],["NormedAddCommGroup","toENormedAddCommMonoid"],["SeminormedAddCommGroup","toAddCommGroup"],["NormedSpace","toModule"],["Real"],["Norm","norm"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["Function","comp"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["ContinuousMultilinearMap","norm_compContinuous_linearIsometryEquiv"],["ContinuousMultilinearMap","compContinuousLinearMap"],["iteratedFDerivWithin"],["Eq","refl"],["ContinuousMultilinearMap","hasOpNorm'"],["id"],["AddCommGroup","toAddCommMonoid"],["RingHomInvPair","ids"],["Field","toSemifield"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["Eq","mpr"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["ContinuousLinearEquiv","toContinuousLinearMap"]]},{"isProp":true,"kind":"theorem","name":["contDiffAt_const"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.541524029._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.541524029._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.541524029._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.541524029._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.541524029._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.541524029._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.541524029._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.541524029._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.541524029._hygCtx._hyg.16)] {x : E} {n : WithTop.{0} ENat} {c : F}, ContDiffAt.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.541524029._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.541524029._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.541524029._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.541524029._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.541524029._hygCtx._hyg.19 n (fun (x._@.Mathlib.Analysis.Calculus.ContDiff.Basic.541524029._hygCtx._hyg.69 : E) => c) x","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {x : E} {n : WithTop β„•βˆž}\n {c : F}, ContDiffAt π•œ n (fun x => c) x","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {x : E} {n : WithTop β„•βˆž}\n {c : F}, ContDiffAt π•œ n (fun x => c) x","typeReferences":[["NontriviallyNormedField"],["NormedSpace"],["ENat"],["WithTop"],["NormedAddCommGroup"],["ContDiffAt"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["NontriviallyNormedField","toNormedField"]],"valueReferences":[["ContDiff","contDiffAt"],["contDiff_const"]]},{"isProp":true,"kind":"theorem","name":["ContDiffOn","continuousLinearMap_comp"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.23)] {s : Set.{u_2} E} {f : E -> F} {n : WithTop.{0} ENat} (g : ContinuousLinearMap.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.6))))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.26)), (ContDiffOn.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.19 n f s) -> (ContDiffOn.{u_1, u_2, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.12 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.26 n (Function.comp.{succ u_2, succ u_3, succ u_4} E F G (DFunLike.coe.{max (succ u_3) (succ u_4), succ u_3, succ u_4} (ContinuousLinearMap.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.6))))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.26)) F (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : F) => G) (ContinuousLinearMap.funLike.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.6))))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217857._hygCtx._hyg.26)) g) f) s)","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {f : E β†’ F} {n : WithTop β„•βˆž} (g : F β†’L[π•œ] G),\n ContDiffOn π•œ n f s β†’ ContDiffOn π•œ n (⇑g ∘ f) s","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {f : E β†’ F} {n : WithTop β„•βˆž} (g : F β†’L[π•œ] G),\n ContDiffOn π•œ n f s β†’ ContDiffOn π•œ n (⇑g ∘ f) s","typeReferences":[["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["ENat"],["WithTop"],["NormedAddCommGroup","toAddCommGroup"],["DFunLike","coe"],["ContinuousLinearMap"],["NontriviallyNormedField","toNormedField"],["NormedField","toField"],["NontriviallyNormedField"],["Semiring","toNonAssocSemiring"],["NormedSpace"],["RingHom","id"],["NormedAddCommGroup"],["Semifield","toDivisionSemiring"],["NormedSpace","toModule"],["Set"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["DivisionSemiring","toSemiring"],["Function","comp"],["ContDiffOn"],["ContinuousLinearMap","funLike"],["Field","toSemifield"],["AddCommGroup","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["ContDiffWithinAt","continuousLinearMap_comp"]]},{"isProp":true,"kind":"theorem","name":["ftaylorSeries_fun_zero"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)], Eq.{max (succ u_2) (succ u_3)} (E -> (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E 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(SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ 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(NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19))))) (ftaylorSeries.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19 (fun (x._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.68 : E) => OfNat.ofNat.{u_3} F 0 (Zero.toOfNat0.{u_3} F (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))))))) (OfNat.ofNat.{max u_2 u_3} (E -> (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19))))) 0 (Zero.toOfNat0.{max u_2 u_3} (E -> (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19))))) (Pi.instZero.{u_2, max u_2 u_3} E (fun (x : E) => FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19)))) (fun (i : E) => NegZeroClass.toZero.{max u_2 u_3} (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19)))) (SubNegZeroMonoid.toNegZeroClass.{max u_2 u_3} (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19)))) (SubtractionMonoid.toSubNegZeroMonoid.{max u_2 u_3} (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19)))) (SubtractionCommMonoid.toSubtractionMonoid.{max u_2 u_3} (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19)))) (AddCommGroup.toDivisionAddCommMonoid.{max u_2 u_3} (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19)))) (FormalMultilinearSeries.instAddCommGroup.{u_1, u_2, u_3} π•œ E F (NormedRing.toRing.{u_1} π•œ (NormedCommRing.toNormedRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6)))) (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.12))) (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} 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(Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.729991964._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F 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u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F],\n (ftaylorSeries π•œ fun x => 0) = 0","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F],\n (ftaylorSeries π•œ fun x => 0) = 0","typeReferences":[["SubtractionMonoid","toSubNegZeroMonoid"],["PseudoMetricSpace","toUniformSpace"],["FormalMultilinearSeries"],["SMulZeroClass","toSMul"],["NormedAddCommGroup","toAddCommGroup"],["NormedRing","toRing"],["NonUnitalNonAssocRing","toNonUnitalNonAssocSemiring"],["NontriviallyNormedField"],["NormedSpace"],["NonUnitalNonAssocCommRing","toNonUnitalNonAssocRing"],["NormedAddCommGroup"],["Semifield","toDivisionSemiring"],["NormedField","toNormedCommRing"],["DistribSMul","toSMulZeroClass"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["NonUnitalCommRing","toNonUnitalNonAssocCommRing"],["DistribMulAction","toDistribSMul"],["IsBoundedSMul","toUniformContinuousConstSMul"],["DivisionSemiring","toSemiring"],["AddZeroClass","toAddZero"],["SeminormedCommRing","toSeminormedRing"],["NormedAddCommGroup","toNormedAddGroup"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["NegZeroClass","toZero"],["NonUnitalNormedCommRing","toNonUnitalCommRing"],["AddZero","toZero"],["Pi","instZero"],["AddMonoid","toAddZeroClass"],["UniformSpace","toTopologicalSpace"],["SubtractionCommMonoid","toSubtractionMonoid"],["AddCommMonoid","toAddMonoid"],["UniformContinuousConstSMul","to_continuousConstSMul"],["SubNegZeroMonoid","toNegZeroClass"],["NontriviallyNormedField","toNormedField"],["SeminormedAddCommGroup","toIsTopologicalAddGroup"],["SeminormedRing","toPseudoMetricSpace"],["NormedField","toField"],["FormalMultilinearSeries","instAddCommGroup"],["MonoidWithZero","toMonoid"],["NormedCommRing","toNormedRing"],["NormedAddGroup","toAddGroup"],["Zero","toOfNat0"],["Eq"],["Semiring","toMonoidWithZero"],["OfNat","ofNat"],["Module","toDistribMulAction"],["AddCommGroup","toDivisionAddCommMonoid"],["MulZeroClass","toZero"],["NonUnitalNonAssocSemiring","toMulZeroClass"],["Field","toSemifield"],["IsTopologicalAddGroup","toContinuousAdd"],["NormedCommRing","toSeminormedCommRing"],["NormedSpace","toIsBoundedSMul"],["ftaylorSeries"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["NormedCommRing","toNonUnitalNormedCommRing"]],"valueReferences":[["SubtractionMonoid","toSubNegZeroMonoid"],["Eq","trans"],["FormalMultilinearSeries"],["PseudoMetricSpace","toUniformSpace"],["Fin"],["SMulZeroClass","toSMul"],["NormedAddCommGroup","toAddCommGroup"],["NormedRing","toRing"],["NonUnitalNonAssocRing","toNonUnitalNonAssocSemiring"],["congrFun"],["funext"],["NonUnitalNonAssocCommRing","toNonUnitalNonAssocRing"],["Semifield","toDivisionSemiring"],["NormedField","toNormedCommRing"],["DistribSMul","toSMulZeroClass"],["ContinuousMultilinearMap","instZero"],["iteratedFDeriv_fun_zero"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["NonUnitalCommRing","toNonUnitalNonAssocCommRing"],["DistribMulAction","toDistribSMul"],["IsBoundedSMul","toUniformContinuousConstSMul"],["iteratedFDeriv"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["AddZeroClass","toAddZero"],["SeminormedCommRing","toSeminormedRing"],["NormedAddCommGroup","toNormedAddGroup"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["NegZeroClass","toZero"],["NonUnitalNormedCommRing","toNonUnitalCommRing"],["AddZero","toZero"],["Pi","instZero"],["AddMonoid","toAddZeroClass"],["UniformSpace","toTopologicalSpace"],["SubtractionCommMonoid","toSubtractionMonoid"],["AddCommMonoid","toAddMonoid"],["DFunLike","coe"],["UniformContinuousConstSMul","to_continuousConstSMul"],["SubNegZeroMonoid","toNegZeroClass"],["FormalMultilinearSeries","ext"],["congrArg"],["NontriviallyNormedField","toNormedField"],["ContinuousMultilinearMap","ext"],["SeminormedAddCommGroup","toIsTopologicalAddGroup"],["SeminormedRing","toPseudoMetricSpace"],["NormedField","toField"],["FormalMultilinearSeries","instAddCommGroup"],["MonoidWithZero","toMonoid"],["NormedCommRing","toNormedRing"],["NormedAddGroup","toAddGroup"],["congrFun'"],["Zero","toOfNat0"],["Eq"],["True"],["Semiring","toMonoidWithZero"],["OfNat","ofNat"],["eq_self"],["Module","toDistribMulAction"],["of_eq_true"],["AddCommGroup","toDivisionAddCommMonoid"],["MulZeroClass","toZero"],["NonUnitalNonAssocSemiring","toMulZeroClass"],["Field","toSemifield"],["IsTopologicalAddGroup","toContinuousAdd"],["NormedCommRing","toSeminormedCommRing"],["NormedSpace","toIsBoundedSMul"],["ftaylorSeries"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["NormedCommRing","toNonUnitalNormedCommRing"],["ContinuousMultilinearMap","funLike"]]},{"isProp":true,"kind":"theorem","name":["contDiff_of_contDiffOn_union_of_isOpen"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.16)] {s : Set.{u_2} E} {t : Set.{u_2} E} {f : E -> F} {n : WithTop.{0} ENat}, (ContDiffOn.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.19 n f s) -> (ContDiffOn.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.19 n f t) -> (Eq.{succ u_2} (Set.{u_2} E) (Union.union.{u_2} (Set.{u_2} E) (Set.instUnion.{u_2} E) s t) (Set.univ.{u_2} E)) -> (IsOpen.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.9)))) s) -> (IsOpen.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.9)))) t) -> (ContDiff.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.408977361._hygCtx._hyg.19 n f)","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {s t : Set E} {f : E β†’ F}\n {n : WithTop β„•βˆž}, ContDiffOn π•œ n f s β†’ ContDiffOn π•œ n f t β†’ s βˆͺ t = Set.univ β†’ IsOpen s β†’ IsOpen t β†’ ContDiff π•œ n f","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {s t : Set E} {f : E β†’ F}\n {n : WithTop β„•βˆž}, ContDiffOn π•œ n f s β†’ ContDiffOn π•œ n f t β†’ s βˆͺ t = Set.univ β†’ IsOpen s β†’ IsOpen t β†’ ContDiff π•œ n f","typeReferences":[["PseudoMetricSpace","toUniformSpace"],["Set"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["UniformSpace","toTopologicalSpace"],["ENat"],["WithTop"],["Union","union"],["ContDiffOn"],["NontriviallyNormedField","toNormedField"],["Set","univ"],["IsOpen"],["NontriviallyNormedField"],["NormedSpace"],["ContDiff"],["NormedAddCommGroup"],["Eq"],["Set","instUnion"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["Set"],["Union","union"],["ContDiffOn"],["congrArg"],["Set","univ"],["ContDiffOn","union_of_isOpen"],["contDiffOn_univ"],["ContDiff"],["id"],["Eq","symm"],["Eq","mpr"],["Eq"],["Set","instUnion"],["propext"]]},{"isProp":true,"kind":"theorem","name":["ContinuousLinearMap","iteratedFDerivWithin_comp_left"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.23)] {s : Set.{u_2} E} {x : E} {n : WithTop.{0} ENat} {f : E -> F} (g : ContinuousLinearMap.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6))))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.26)), (ContDiffWithinAt.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.19 n f s x) -> (UniqueDiffOn.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6))))) (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.9)))) s) -> (Membership.mem.{u_2, u_2} E (Set.{u_2} E) (Set.instMembership.{u_2} E) s x) -> (forall {i : Nat}, (LE.le.{0} (WithTop.{0} ENat) (Preorder.toLE.{0} (WithTop.{0} ENat) (WithTop.instPreorder.{0} ENat instPreorderENat)) (Nat.cast.{0} (WithTop.{0} ENat) (WithTop.natCast.{0} ENat ENat.instNatCast) i) n) -> (Eq.{max (succ u_2) (succ u_4)} (ContinuousMultilinearMap.{u_1, 0, u_2, u_4} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => E) G (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.23)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.23)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.23))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.26) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.23))))) (iteratedFDerivWithin.{u_1, u_2, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.12 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.26 i (Function.comp.{succ u_2, succ u_3, succ u_4} E F G (DFunLike.coe.{max (succ u_3) (succ u_4), succ u_3, succ u_4} (ContinuousLinearMap.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6))))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.26)) F (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : F) => G) (ContinuousLinearMap.funLike.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6))))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.26)) g) f) s x) (ContinuousLinearMap.compContinuousMultilinearMap.{u_1, 0, u_2, u_3, u_4} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => E) F G (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.9))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.16)) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.23)) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.26) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.16)))) (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.23)))) g (iteratedFDerivWithin.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784283._hygCtx._hyg.19 i f s x))))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {x : E} {n : WithTop β„•βˆž} {f : E β†’ F}\n (g : F β†’L[π•œ] G),\n ContDiffWithinAt π•œ n f s x β†’\n UniqueDiffOn π•œ s β†’\n x ∈ s β†’\n βˆ€ {i : β„•},\n ↑i ≀ n β†’\n iteratedFDerivWithin π•œ i (⇑g ∘ f) s x = g.compContinuousMultilinearMap (iteratedFDerivWithin π•œ i f s x)","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {x : E} {n : WithTop β„•βˆž} {f : E β†’ F}\n (g : F β†’L[π•œ] G),\n ContDiffWithinAt π•œ n f s x β†’\n UniqueDiffOn π•œ s β†’\n x ∈ s β†’\n βˆ€ {i : β„•},\n ↑i ≀ n β†’\n iteratedFDerivWithin π•œ i (⇑g ∘ f) s x = g.compContinuousMultilinearMap (iteratedFDerivWithin π•œ i f s 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{π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)], Eq.{max (succ u_2) (succ u_3)} ((Set.{u_2} E) -> E -> (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E 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(Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) 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(AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (ftaylorSeriesWithin.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19 (OfNat.ofNat.{max u_2 u_3} (E -> F) 0 (Zero.toOfNat0.{max u_2 u_3} (E -> F) (Pi.instZero.{u_2, u_3} E (fun (a._@._internal._hyg.0 : E) => F) (fun (i : E) => NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))))))))) (OfNat.ofNat.{max u_2 u_3} ((Set.{u_2} E) -> E -> (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) 0 (Zero.toOfNat0.{max u_2 u_3} ((Set.{u_2} E) -> E -> (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (Pi.instZero.{u_2, max u_2 u_3} (Set.{u_2} E) (fun (s : Set.{u_2} E) => E -> (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (fun (i : Set.{u_2} E) => Pi.instZero.{u_2, max u_2 u_3} E (fun (x : E) => FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19)))) (fun (i : E) => NegZeroClass.toZero.{max u_2 u_3} (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} οΏ½οΏ½οΏ½οΏ½ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19)))) (SubNegZeroMonoid.toNegZeroClass.{max u_2 u_3} (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19)))) (SubtractionMonoid.toSubNegZeroMonoid.{max u_2 u_3} (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} οΏ½οΏ½οΏ½ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19)))) (SubtractionCommMonoid.toSubtractionMonoid.{max u_2 u_3} (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19)))) (AddCommGroup.toDivisionAddCommMonoid.{max u_2 u_3} (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19)))) (FormalMultilinearSeries.instAddCommGroup.{u_1, u_2, u_3} π•œ E F (NormedRing.toRing.{u_1} π•œ (NormedCommRing.toNormedRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6)))) (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.12))) (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.814916573._hygCtx._hyg.19)))))))))))))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F], ftaylorSeriesWithin π•œ 0 = 0","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F], ftaylorSeriesWithin π•œ 0 = 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{π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.356020888._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.356020888._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.356020888._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.356020888._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.356020888._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.356020888._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.356020888._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.356020888._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.356020888._hygCtx._hyg.16)] {n : WithTop.{0} ENat}, ContDiff.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.356020888._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.356020888._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.356020888._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.356020888._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.356020888._hygCtx._hyg.19 n (fun (x._@.Mathlib.Analysis.Calculus.ContDiff.Basic.356020888._hygCtx._hyg.66 : E) => OfNat.ofNat.{u_3} F 0 (Zero.toOfNat0.{u_3} F (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.356020888._hygCtx._hyg.16))))))))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {n : WithTop β„•βˆž},\n ContDiff π•œ n fun x => 0","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {n : WithTop β„•βˆž},\n ContDiff π•œ n fun x => 0","typeReferences":[["SubtractionMonoid","toSubNegZeroMonoid"],["ENat"],["WithTop"],["SubtractionCommMonoid","toSubtractionMonoid"],["NormedAddCommGroup","toAddCommGroup"],["SubNegZeroMonoid","toNegZeroClass"],["OfNat","ofNat"],["NontriviallyNormedField","toNormedField"],["NontriviallyNormedField"],["AddCommGroup","toDivisionAddCommMonoid"],["NormedSpace"],["ContDiff"],["NegZeroClass","toZero"],["NormedAddCommGroup"],["Zero","toOfNat0"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["Set","univ"],["SubtractionMonoid","toSubNegZeroMonoid"],["AddCommGroup","toDivisionAddCommMonoid"],["AnalyticOnNhd","contDiff"],["analyticOnNhd_const"],["NegZeroClass","toZero"],["SubtractionCommMonoid","toSubtractionMonoid"],["Zero","toOfNat0"],["NormedAddCommGroup","toAddCommGroup"],["SubNegZeroMonoid","toNegZeroClass"],["OfNat","ofNat"]]},{"isProp":true,"kind":"theorem","name":["iteratedFDeriv_succ_const"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16)] (n : Nat) (c : F), Eq.{max (succ u_2) (succ u_3)} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.6))))) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E 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(NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.19) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16)))))) (iteratedFDeriv.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.19 (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (fun (x._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.79 : E) => c)) (OfNat.ofNat.{max u_2 u_3} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.6))))) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16))) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.19) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16)))))) 0 (Zero.toOfNat0.{max u_2 u_3} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.6))))) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16))) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.19) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16)))))) (Pi.instZero.{u_2, max u_2 u_3} E (fun (a._@._internal._hyg.0 : E) => ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.6))))) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16))) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.19) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16))))) (fun (i : E) => ContinuousMultilinearMap.instZero.{u_1, 0, u_2, u_3} π•œ (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.6))))) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16))) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.19) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.860097471._hygCtx._hyg.16))))))))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] (n : β„•) (c : F),\n (iteratedFDeriv π•œ (n + 1) fun x => c) = 0","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] (n : β„•) (c : F),\n (iteratedFDeriv π•œ (n + 1) fun x => c) = 0","typeReferences":[["instAddNat"],["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["Fin"],["NontriviallyNormedField","toNormedField"],["NontriviallyNormedField"],["NormedField","toField"],["NormedSpace"],["instOfNatNat"],["NormedAddCommGroup"],["Zero","toOfNat0"],["Semifield","toDivisionSemiring"],["Eq"],["ContinuousMultilinearMap","instZero"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["instHAdd"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["iteratedFDeriv"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["OfNat","ofNat"],["HAdd","hAdd"],["Nat"],["Field","toSemifield"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["Pi","instZero"]],"valueReferences":[["instAddNat"],["Not"],["Eq","trans"],["True"],["instHAdd"],["iteratedFDeriv_const_of_ne"],["And"],["Nat","add_eq_zero_iff","_simp_1"],["OfNat","ofNat"],["congrArg"],["Nat","instNeZeroSucc"],["HAdd","hAdd"],["one_ne_zero","_simp_1"],["Nat"],["not_false_eq_true"],["Nat","instOne"],["of_eq_true"],["MulZeroClass","toZero"],["instOfNatNat"],["and_false"],["False"],["Nat","instMulZeroClass"],["Eq"]]},{"isProp":true,"kind":"theorem","name":["iteratedFDeriv_zero"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16)] {n : Nat}, Eq.{max (succ u_2) (succ u_3)} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin n) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16))) (fun (i : Fin n) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.19) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16)))))) (iteratedFDeriv.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.19 n (OfNat.ofNat.{max u_2 u_3} (E -> F) 0 (Zero.toOfNat0.{max u_2 u_3} (E -> F) (Pi.instZero.{u_2, u_3} E (fun (a._@._internal._hyg.0 : E) => F) (fun (i : E) => NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16)))))))))) (OfNat.ofNat.{max u_2 u_3} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin n) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16))) (fun (i : Fin n) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.19) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16)))))) 0 (Zero.toOfNat0.{max u_2 u_3} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin n) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16))) (fun (i : Fin n) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.19) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16)))))) (Pi.instZero.{u_2, max u_2 u_3} E (fun (a._@._internal._hyg.0 : E) => ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin n) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16))) (fun (i : Fin n) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.19) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16))))) (fun (i : E) => ContinuousMultilinearMap.instZero.{u_1, 0, u_2, u_3} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin n) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16))) (fun (i : Fin n) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.19) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.390933888._hygCtx._hyg.16))))))))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {n : β„•},\n iteratedFDeriv π•œ n 0 = 0","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {n : β„•},\n iteratedFDeriv π•œ n 0 = 0","typeReferences":[["SubtractionMonoid","toSubNegZeroMonoid"],["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["Fin"],["SubtractionCommMonoid","toSubtractionMonoid"],["NormedAddCommGroup","toAddCommGroup"],["SubNegZeroMonoid","toNegZeroClass"],["NontriviallyNormedField","toNormedField"],["NormedField","toField"],["NontriviallyNormedField"],["NormedSpace"],["NormedAddCommGroup"],["Zero","toOfNat0"],["Semifield","toDivisionSemiring"],["Eq"],["ContinuousMultilinearMap","instZero"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["iteratedFDeriv"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["OfNat","ofNat"],["Nat"],["AddCommGroup","toDivisionAddCommMonoid"],["Field","toSemifield"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["NegZeroClass","toZero"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["Pi","instZero"]],"valueReferences":[["SubtractionMonoid","toSubNegZeroMonoid"],["Eq","trans"],["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["Fin"],["SubtractionCommMonoid","toSubtractionMonoid"],["NormedAddCommGroup","toAddCommGroup"],["SubNegZeroMonoid","toNegZeroClass"],["congrArg"],["NontriviallyNormedField","toNormedField"],["_private","Mathlib","Analysis","Calculus","ContDiff","Basic",0,"iteratedFDeriv_zero","_simp_1_1"],["NormedField","toField"],["congrFun"],["funext"],["congrFun'"],["Zero","toOfNat0"],["Semifield","toDivisionSemiring"],["Eq"],["ContinuousMultilinearMap","instZero"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["True"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["iteratedFDeriv"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["OfNat","ofNat"],["Set","univ"],["eq_self"],["of_eq_true"],["AddCommGroup","toDivisionAddCommMonoid"],["iteratedFDerivWithin"],["Field","toSemifield"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["NegZeroClass","toZero"],["iteratedFDerivWithin_zero"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["Pi","instZero"]]},{"isProp":true,"kind":"theorem","name":["LinearIsometryEquiv","norm_iteratedFDerivWithin_comp_left"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.23)] {s : Set.{u_2} E} {x : E} (g : LinearIsometryEquiv.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} οΏ½οΏ½οΏ½οΏ½ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.26)) (f : E -> F), (UniqueDiffOn.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6))))) (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.9)))) s) -> (Membership.mem.{u_2, u_2} E (Set.{u_2} E) (Set.instMembership.{u_2} E) s x) -> (forall (i : Nat), Eq.{1} Real (Norm.norm.{max u_4 u_2} (ContinuousMultilinearMap.{u_1, 0, u_2, u_4} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.26) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_4} G 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.12 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.26 i (Function.comp.{succ u_2, succ u_3, succ u_4} E F G (DFunLike.coe.{max (succ u_3) (succ u_4), succ u_3, succ u_4} (LinearIsometryEquiv.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.26)) F (fun (a._@._internal._hyg.0 : F) => G) (EquivLike.toFunLike.{max (succ u_3) (succ u_4), succ u_3, succ u_4} (LinearIsometryEquiv.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6)))))) F G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.16) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.23) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.26)) F G (LinearIsometryEquiv.instEquivLike.{u_1, u_1, u_3, u_4} π•œ π•œ F G (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6)))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.16) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.23) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.26))) g) f) s x)) (Norm.norm.{max u_3 u_2} (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.12 (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.19 (Fin.fintype i)) (iteratedFDerivWithin.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567551._hygCtx._hyg.19 i f s x)))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {x : E} (g : F ≃ₗᡒ[π•œ] G) (f : E β†’ F),\n UniqueDiffOn π•œ s β†’ x ∈ s β†’ βˆ€ (i : β„•), β€–iteratedFDerivWithin π•œ i (⇑g ∘ f) s xβ€– = β€–iteratedFDerivWithin π•œ i f s xβ€–","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {x : E} (g : F ≃ₗᡒ[π•œ] G) (f : E β†’ F),\n UniqueDiffOn π•œ s β†’ x ∈ s β†’ βˆ€ (i : β„•), β€–iteratedFDerivWithin π•œ i (⇑g ∘ f) s xβ€– = β€–iteratedFDerivWithin π•œ i f s 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{π•œ : Type.{u_1}} {E : Type.{u_2}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4039343314._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4039343314._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4039343314._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4039343314._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4039343314._hygCtx._hyg.9)] {n : WithTop.{0} ENat} {s : Set.{u_2} E}, ContDiffOn.{u_1, u_2, u_2} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4039343314._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4039343314._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4039343314._hygCtx._hyg.12 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4039343314._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4039343314._hygCtx._hyg.12 n (fun (x : E) => x) s","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {n : WithTop β„•βˆž} {s : Set E}, ContDiffOn π•œ n (fun x => x) s","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {n : WithTop β„•βˆž} {s : Set E}, ContDiffOn π•œ n (fun x => x) s","typeReferences":[["NontriviallyNormedField"],["Set"],["NormedSpace"],["ENat"],["WithTop"],["NormedAddCommGroup"],["ContDiffOn"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["NontriviallyNormedField","toNormedField"]],"valueReferences":[["ContDiff","contDiffOn"],["id"],["contDiff_id"]]},{"isProp":true,"kind":"theorem","name":["ContDiffAt","prodMk"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.23)] {x : E} {n : WithTop.{0} ENat} {f : E -> F} {g : E -> G}, (ContDiffAt.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.19 n f x) -> (ContDiffAt.{u_1, u_2, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.12 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.26 n g x) -> (ContDiffAt.{u_1, u_2, max u_4 u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.12 (Prod.{u_3, u_4} F G) (Prod.normedAddCommGroup.{u_3, u_4} F G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.23) (Prod.normedSpace.{u_1, u_3, u_4} π•œ F G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.16) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.19 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271483._hygCtx._hyg.26) n (fun (x : E) => Prod.mk.{u_3, u_4} F G (f x) (g x)) x)","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {x : E} {n : WithTop β„•βˆž} {f : E β†’ F} {g : E β†’ G},\n ContDiffAt π•œ n f x β†’ ContDiffAt π•œ n g x β†’ ContDiffAt π•œ n (fun x => (f x, g x)) x","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {x : E} {n : WithTop β„•βˆž} {f : E β†’ F} {g : E β†’ G},\n ContDiffAt π•œ n f x β†’ ContDiffAt π•œ n g x β†’ ContDiffAt π•œ n (fun x => (f x, g x)) x","typeReferences":[["Prod"],["NontriviallyNormedField"],["Prod","mk"],["NormedSpace"],["Prod","normedAddCommGroup"],["ENat"],["WithTop"],["NormedAddCommGroup"],["ContDiffAt"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["Prod","normedSpace"],["NontriviallyNormedField","toNormedField"]],"valueReferences":[["Prod","mk"],["ContDiffWithinAt"],["Iff","mp"],["ContDiffAt"],["NontriviallyNormedField","toNormedField"],["ContDiffWithinAt","prodMk"],["Prod"],["Set","univ"],["Prod","normedAddCommGroup"],["ContDiffAt","contDiffWithinAt"],["contDiffWithinAt_univ"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["Prod","normedSpace"]]},{"isProp":true,"kind":"theorem","name":["ContDiffWithinAt","comp_continuousLinearMap"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)] {s : Set.{u_2} E} {f : E -> F} {n : WithTop.{0} ENat} {x : G} (g : ContinuousLinearMap.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.12)), (ContDiffWithinAt.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.19 n f s (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearMap.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.12)) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (ContinuousLinearMap.funLike.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.12)) g x)) -> (ContDiffWithinAt.{u_1, u_4, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.26 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.19 n (Function.comp.{succ u_4, succ u_2, succ u_3} G E F f (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearMap.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.12)) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (ContinuousLinearMap.funLike.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.12)) g) s) x)","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {f : E β†’ F} {n : WithTop β„•βˆž} {x : G}\n (g : G β†’L[π•œ] E), ContDiffWithinAt π•œ n f s (g x) β†’ ContDiffWithinAt π•œ n (f ∘ ⇑g) (⇑g ⁻¹' s) x","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] 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{π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23)] {s : Set.{u_2} E} {f : E -> F} {n : WithTop.{0} ENat} {p : E -> (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.12))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16)))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16)))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16)))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16)))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.19))))}, (HasFTaylorSeriesUpToOn.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.19 n f p s) -> (forall (g : ContinuousAffineMap.{u_1, u_4, u_2, u_4, u_2} π•œ G E G E (NormedRing.toRing.{u_1} π•œ (NormedCommRing.toNormedRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6)))) (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.26) (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23)))) (NormedAddTorsor.toAddTorsor.{u_4, u_4} G G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23)) (SeminormedAddCommGroup.toNormedAddTorsor.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23))) (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)))) (NormedAddTorsor.toAddTorsor.{u_2, u_2} E E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)) (SeminormedAddCommGroup.toNormedAddTorsor.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)))), HasFTaylorSeriesUpToOn.{u_1, u_4, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.26 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.19 n (Function.comp.{succ u_4, succ u_2, succ u_3} G E F f (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousAffineMap.{u_1, u_4, u_2, u_4, u_2} π•œ G E G E (NormedRing.toRing.{u_1} π•œ (NormedCommRing.toNormedRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6)))) (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.26) (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23)))) (NormedAddTorsor.toAddTorsor.{u_4, u_4} G G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23)) (SeminormedAddCommGroup.toNormedAddTorsor.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23))) (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)))) (NormedAddTorsor.toAddTorsor.{u_2, u_2} E E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)) (SeminormedAddCommGroup.toNormedAddTorsor.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)))) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (ContinuousAffineMap.instFunLike.{u_1, u_4, u_2, u_4, u_2} π•œ G E G E (NormedRing.toRing.{u_1} π•œ (NormedCommRing.toNormedRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6)))) (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.26) (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23)))) (NormedAddTorsor.toAddTorsor.{u_4, u_4} G G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23)) (SeminormedAddCommGroup.toNormedAddTorsor.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23))) (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)))) (NormedAddTorsor.toAddTorsor.{u_2, u_2} E E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)) (SeminormedAddCommGroup.toNormedAddTorsor.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)))) g)) (fun (x : G) (k : Nat) => ContinuousMultilinearMap.compContinuousLinearMap.{u_1, 0, u_4, u_2, u_3} π•œ (Fin k) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries.4193387797._hygCtx._hyg.128 : Fin k) => G) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries.4193387797._hygCtx._hyg.128 : Fin k) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6))))) (fun (i : Fin k) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23))) (fun (i : Fin k) => AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16)) (fun (i : Fin k) => NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.26) (fun (i : Fin k) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.19) (fun (i : Fin k) => UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23)))) (fun (i : Fin k) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.16)))) (p (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousAffineMap.{u_1, u_4, u_2, u_4, u_2} π•œ G E G E (NormedRing.toRing.{u_1} π•œ (NormedCommRing.toNormedRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6)))) (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.26) (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23)))) (NormedAddTorsor.toAddTorsor.{u_4, u_4} G G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23)) (SeminormedAddCommGroup.toNormedAddTorsor.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23))) (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)))) (NormedAddTorsor.toAddTorsor.{u_2, u_2} E E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)) (SeminormedAddCommGroup.toNormedAddTorsor.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)))) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (ContinuousAffineMap.instFunLike.{u_1, u_4, u_2, u_4, u_2} π•œ G E G E (NormedRing.toRing.{u_1} π•œ (NormedCommRing.toNormedRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6)))) (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.26) (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23)))) (NormedAddTorsor.toAddTorsor.{u_4, u_4} G G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23)) (SeminormedAddCommGroup.toNormedAddTorsor.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23))) (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)))) (NormedAddTorsor.toAddTorsor.{u_2, u_2} E E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)) (SeminormedAddCommGroup.toNormedAddTorsor.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)))) g x) k) (fun (x._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.98 : Fin k) => ContinuousAffineMap.contLinear.{u_1, u_4, u_2, u_4, u_2} π•œ G E G E (NormedRing.toRing.{u_1} π•œ (NormedCommRing.toNormedRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6)))) (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.26) (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23)))) (NormedAddTorsor.toAddTorsor.{u_4, u_4} G G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23)) (SeminormedAddCommGroup.toNormedAddTorsor.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23))) (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)))) (NormedAddTorsor.toAddTorsor.{u_2, u_2} E E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)) (SeminormedAddCommGroup.toNormedAddTorsor.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9))) (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23)))) (instIsTopologicalAddTorsor_1.{u_4, u_4} G G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23)) (SeminormedAddCommGroup.toNormedAddTorsor.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23))) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)))) (instIsTopologicalAddTorsor_1.{u_2, u_2} E E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)) (SeminormedAddCommGroup.toNormedAddTorsor.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9))) g)) (Set.preimage.{u_4, u_2} G E (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousAffineMap.{u_1, u_4, u_2, u_4, u_2} π•œ G E G E (NormedRing.toRing.{u_1} π•œ (NormedCommRing.toNormedRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6)))) (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.26) (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23)))) (NormedAddTorsor.toAddTorsor.{u_4, u_4} G G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23)) (SeminormedAddCommGroup.toNormedAddTorsor.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23))) (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)))) (NormedAddTorsor.toAddTorsor.{u_2, u_2} E E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)) (SeminormedAddCommGroup.toNormedAddTorsor.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)))) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (ContinuousAffineMap.instFunLike.{u_1, u_4, u_2, u_4, u_2} π•œ G E G E (NormedRing.toRing.{u_1} π•œ (NormedCommRing.toNormedRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6)))) (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.26) (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23)))) (NormedAddTorsor.toAddTorsor.{u_4, u_4} G G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23)) (SeminormedAddCommGroup.toNormedAddTorsor.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.23))) (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)))) (NormedAddTorsor.toAddTorsor.{u_2, u_2} E E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)) (SeminormedAddCommGroup.toNormedAddTorsor.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2280316596._hygCtx._hyg.9)))) g) s))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {f : E β†’ F} {n : WithTop β„•βˆž}\n {p : E β†’ FormalMultilinearSeries π•œ E F},\n HasFTaylorSeriesUpToOn n f p s β†’\n βˆ€ (g : G →ᴬ[π•œ] E),\n HasFTaylorSeriesUpToOn n (f ∘ ⇑g) (fun x k => (p (g x) k).compContinuousLinearMap fun x => g.contLinear)\n (⇑g ⁻¹' s)","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {f : E β†’ F} {n : WithTop β„•βˆž}\n {p : E β†’ FormalMultilinearSeries π•œ E F},\n HasFTaylorSeriesUpToOn n f p s β†’\n βˆ€ (g : G →ᴬ[π•œ] E),\n HasFTaylorSeriesUpToOn n (f ∘ ⇑g) (fun x k => (p (g x) k).compContinuousLinearMap fun x => g.contLinear)\n (⇑g ⁻¹' 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roup"],["NormedRing","toRing"],["DistribMulActionSemiHomClass","toAddMonoidHomClass"],["Semiring","toNonAssocSemiring"],["funext"],["eq_of_heq"],["NonUnitalNonAssocCommRing","toNonUnitalNonAssocRing"],["DistribMulAction","toMulAction"],["HasFTaylorSeriesUpToOn","cont"],["Semifield","toDivisionSemiring"],["Fin","cons"],["DistribSMul","toSMulZeroClass"],["ContinuousAffineMap","hasFDerivWithinAt"],["DistribMulAction","toDistribSMul"],["ContinuousMultilinearMap"],["AddZeroClass","toAddZero"],["ContinuousLinearMap","funLike"],["Nat"],["ContinuousMultilinearMap","instAddCommGroup"],["id"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["NegZeroClass","toZero"],["NonUnitalNormedCommRing","toNonUnitalCommRing"],["HasFTaylorSeriesUpToOn","mk"],["AddZero","toZero"],["CommMonoid","toMonoid"],["ContinuousMultilinearMap","addCommMonoid"],["UniformSpace","toTopologicalSpace"],["ContinuousMultilinearMap","seminormedAddCommGroup'"],["RingHom","instFunLike"],["ContinuousMultilinearMap","normedAddCommGroup'"],["DFunLike","coe"],["SubNegZeroMonoid","toNegZeroClass"],["UniformContinuousConstSMul","to_continuousConstSMul"],["ContinuousLinearMap","comp"],["ContinuousLinearMap"],["congrArg"],["ContinuousMultilinearMap","instModule"],["NormedField","toField"],["MonoidWithZero","toMonoid"],["NormedCommRing","toNormedRing"],["Zero","toOfNat0"],["Set","preimage"],["Field","toCommRing"],["HEq","refl"],["ContinuousMultilinearMap","curryLeft"],["instHAdd"],["ContinuousMultilinearMap","normedSpace'"],["AddMonoidHomClass","toZeroHomClass"],["Semiring","toMonoidWithZero"],["Function","comp"],["Eq","casesOn"],["ContinuousAffineMap","contLinear"],["HasFTaylorSeriesUpToOn","zero_eq"],["IsBoundedLinearMap","continuous"],["Nat","succ"],["Field","toSemifield"],["NormedCommRing","toSeminormedCommRing"],["ContinuousMultilinearMap","instAddCommGroup","_proof_7"],["NormedSpace","toIsBoundedSMul"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["SemilinearMapClass","distribMulActionSemiHomClass"],["NormedCommRing","toNonUnitalNormedCommRing"],["IsBoundedLinearMap","hasFDerivAt"],["ContinuousMultilinearMap","funLike"]]},{"isProp":true,"kind":"theorem","name":["ContinuousLinearMap","iteratedFDeriv_comp_right"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.23)] {n : WithTop.{0} ENat} (g : ContinuousLinearMap.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.23)) 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.12)) {f : E -> F}, (ContDiff.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.19 n f) -> (forall (x : G) {i : Nat}, (LE.le.{0} (WithTop.{0} ENat) (Preorder.toLE.{0} (WithTop.{0} ENat) (WithTop.instPreorder.{0} ENat instPreorderENat)) (Nat.cast.{0} (WithTop.{0} ENat) (WithTop.natCast.{0} ENat ENat.instNatCast) i) n) -> (Eq.{max (succ u_3) (succ u_4)} (ContinuousMultilinearMap.{u_1, 0, u_4, u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin i) => G) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.23)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.12)) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (ContinuousLinearMap.funLike.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.12)) g)) x) (ContinuousMultilinearMap.compContinuousLinearMap.{u_1, 0, u_4, u_2, u_3} π•œ (Fin i) (fun (x._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.113 : Fin i) => G) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin i) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6))))) (fun (i : Fin i) => AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.23)) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.16))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.26) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.23)))) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.16)))) (iteratedFDeriv.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.19 i f (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearMap.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ 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(NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.12)) g x)) (fun (x._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2049428602._hygCtx._hyg.113 : Fin i) => g))))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {n : WithTop β„•βˆž} (g : G β†’L[π•œ] E) {f : E β†’ F},\n ContDiff π•œ n f β†’\n βˆ€ (x : G) {i : β„•},\n ↑i ≀ n β†’ iteratedFDeriv π•œ 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{π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4008751142._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4008751142._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4008751142._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4008751142._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4008751142._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4008751142._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4008751142._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4008751142._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4008751142._hygCtx._hyg.16)] {f : E -> F} {x : E} {n : WithTop.{0} ENat} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4008751142._hygCtx._hyg.59 : Subsingleton.{succ u_3} F], Eq.{1} Prop (ContDiffAt.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4008751142._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4008751142._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4008751142._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4008751142._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4008751142._hygCtx._hyg.19 n f x) True","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F} {x : E}\n {n : WithTop β„•βˆž} [Subsingleton F], ContDiffAt π•œ n f x = True","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F} {x : E}\n {n : WithTop β„•βˆž} [Subsingleton F], ContDiffAt π•œ n f x = True","typeReferences":[["Subsingleton"],["NontriviallyNormedField"],["True"],["NormedSpace"],["ENat"],["WithTop"],["NormedAddCommGroup"],["ContDiffAt"],["Eq"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["NontriviallyNormedField","toNormedField"]],"valueReferences":[["contDiffAt_of_subsingleton"],["eq_true"],["ContDiffAt"]]},{"isProp":true,"kind":"theorem","name":["contDiff_of_contDiffOn_iUnion_of_isOpen"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3300553586._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3300553586._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3300553586._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3300553586._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3300553586._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3300553586._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3300553586._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3300553586._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3300553586._hygCtx._hyg.16)] {f : E -> F} {n : WithTop.{0} ENat} {ΞΉ : Type.{u_5}} {s 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3300553586._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3300553586._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3300553586._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3300553586._hygCtx._hyg.19 n f)","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F} {n : WithTop β„•βˆž}\n {ΞΉ : Type u_5} {s : ΞΉ β†’ Set E},\n (βˆ€ (i : ΞΉ), ContDiffOn π•œ n f (s i)) β†’ (βˆ€ (i : ΞΉ), IsOpen (s i)) β†’ ⋃ i, s i = Set.univ β†’ ContDiff π•œ n f","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F} {n : WithTop β„•βˆž}\n {ΞΉ : Type u_5} {s : ΞΉ β†’ Set E},\n (βˆ€ (i : ΞΉ), ContDiffOn π•œ n f (s i)) β†’ (βˆ€ (i : ΞΉ), IsOpen (s i)) β†’ ⋃ i, s i = Set.univ β†’ ContDiff π•œ n f","typeReferences":[["PseudoMetricSpace","toUniformSpace"],["Set"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["UniformSpace","toTopologicalSpace"],["ENat"],["WithTop"],["Set","iUnion"],["ContDiffOn"],["NontriviallyNormedField","toNormedField"],["Set","univ"],["NontriviallyNormedField"],["IsOpen"],["NormedSpace"],["ContDiff"],["NormedAddCommGroup"],["Eq"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["Set"],["Set","iUnion"],["ContDiffOn"],["congrArg"],["Set","univ"],["ContDiffOn","iUnion_of_isOpen"],["contDiffOn_univ"],["ContDiff"],["id"],["Eq","symm"],["Eq","mpr"],["Eq"],["propext"]]},{"isProp":true,"kind":"theorem","name":["iteratedFDerivWithin_fun_zero"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16)] {s : Set.{u_2} E} {i : Nat}, Eq.{max (succ u_2) (succ u_3)} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.19) (fun (i : Fin i) => 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ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16)))))) 0 (Zero.toOfNat0.{max u_2 u_3} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16)))))) (Pi.instZero.{u_2, max u_2 u_3} E (fun (a._@._internal._hyg.0 : E) => ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16))))) (fun (i_1 : E) => ContinuousMultilinearMap.instZero.{u_1, 0, u_2, u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16))))))))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {s : Set E} {i : β„•},\n iteratedFDerivWithin π•œ i (fun x => 0) s = 0","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {s : Set E} {i : β„•},\n iteratedFDerivWithin π•œ i (fun x => 0) s = 0","typeReferences":[["SubtractionMonoid","toSubNegZeroMonoid"],["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["Fin"],["SubtractionCommMonoid","toSubtractionMonoid"],["NormedAddCommGroup","toAddCommGroup"],["SubNegZeroMonoid","toNegZeroClass"],["NontriviallyNormedField","toNormedField"],["NontriviallyNormedField"],["NormedField","toField"],["NormedSpace"],["NormedAddCommGroup"],["Zero","toOfNat0"],["Semifield","toDivisionSemiring"],["Eq"],["ContinuousMultilinearMap","instZero"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["Set"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["OfNat","ofNat"],["Nat"],["AddCommGroup","toDivisionAddCommMonoid"],["iteratedFDerivWithin"],["Field","toSemifield"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["NegZeroClass","toZero"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["Pi","instZero"]],"valueReferences":[["iteratedFDerivWithin_zero"]]},{"isProp":true,"kind":"theorem","name":["iteratedFDeriv_zero_fun"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)] {n : Nat}, Eq.{max (succ u_2) (succ u_3)} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin n) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16))) (fun (i : Fin n) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.19) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)))))) (iteratedFDeriv.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.19 n (fun (x._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.72 : E) => OfNat.ofNat.{u_3} F 0 (Zero.toOfNat0.{u_3} F (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16))))))))) (OfNat.ofNat.{max u_2 u_3} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin n) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16))) (fun (i : Fin n) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.19) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)))))) 0 (Zero.toOfNat0.{max u_2 u_3} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin n) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16))) (fun (i : Fin n) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.19) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)))))) (Pi.instZero.{u_2, max u_2 u_3} E (fun (a._@._internal._hyg.0 : E) => ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin n) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16))) (fun (i : Fin n) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.19) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16))))) (fun (i : E) => ContinuousMultilinearMap.instZero.{u_1, 0, u_2, u_3} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin n) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16))) (fun (i : Fin n) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.19) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16))))))))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {n : β„•},\n (iteratedFDeriv π•œ n fun x => 0) = 0","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {n : β„•},\n (iteratedFDeriv π•œ n fun x => 0) = 0","typeReferences":[["SubtractionMonoid","toSubNegZeroMonoid"],["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["Fin"],["SubtractionCommMonoid","toSubtractionMonoid"],["NormedAddCommGroup","toAddCommGroup"],["SubNegZeroMonoid","toNegZeroClass"],["NontriviallyNormedField","toNormedField"],["NormedField","toField"],["NontriviallyNormedField"],["NormedSpace"],["NormedAddCommGroup"],["Zero","toOfNat0"],["Semifield","toDivisionSemiring"],["Eq"],["ContinuousMultilinearMap","instZero"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["iteratedFDeriv"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["OfNat","ofNat"],["Nat"],["AddCommGroup","toDivisionAddCommMonoid"],["Field","toSemifield"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["NegZeroClass","toZero"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["Pi","instZero"]],"valueReferences":[["iteratedFDeriv_fun_zero"]]},{"isProp":true,"kind":"theorem","name":["ContinuousLinearMap","iteratedFDeriv_comp_left"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.23)] {x : E} {n : WithTop.{0} ENat} {f : E -> F} (g : ContinuousLinearMap.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6))))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.26)), (ContDiffAt.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.19 n f x) -> (forall {i : Nat}, (LE.le.{0} (WithTop.{0} ENat) (Preorder.toLE.{0} (WithTop.{0} ENat) (WithTop.instPreorder.{0} ENat instPreorderENat)) (Nat.cast.{0} (WithTop.{0} ENat) (WithTop.natCast.{0} ENat ENat.instNatCast) i) n) -> (Eq.{max (succ u_2) (succ u_4)} (ContinuousMultilinearMap.{u_1, 0, u_2, u_4} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin i) => E) G (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.23)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.23)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.23))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.26) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E 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(Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6))))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.26)) F (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : F) => G) (ContinuousLinearMap.funLike.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6))))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.26)) g) f) x) (ContinuousLinearMap.compContinuousMultilinearMap.{u_1, 0, u_2, u_3, u_4} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin i) => E) F G (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.9))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.16)) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.23)) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.26) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.16)))) (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.23)))) g (iteratedFDeriv.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083162._hygCtx._hyg.19 i f x))))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {x : E} {n : WithTop β„•βˆž} {f : E β†’ F} (g : F β†’L[π•œ] G),\n ContDiffAt π•œ n f x β†’\n βˆ€ {i : β„•}, ↑i ≀ n β†’ iteratedFDeriv π•œ i (⇑g ∘ f) x = g.compContinuousMultilinearMap (iteratedFDeriv π•œ i f x)","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {x : E} {n : WithTop β„•βˆž} {f : E β†’ F} (g : F β†’L[π•œ] G),\n ContDiffAt π•œ n f x β†’\n βˆ€ {i : β„•}, ↑i ≀ n β†’ iteratedFDeriv π•œ i (⇑g ∘ f) x = g.compContinuousMultilinearMap (iteratedFDeriv π•œ i f 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{π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.16)] {n : WithTop.{0} ENat} (f : LinearIsometry.{u_1, u_1, u_2, u_3} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.6))))))) E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.9) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.16) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.19)), ContDiff.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.19 n (DFunLike.coe.{max (succ u_2) (succ u_3), succ u_2, succ u_3} (LinearIsometry.{u_1, u_1, u_2, u_3} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.6))))))) E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.9) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.16) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.19)) E (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : E) => F) (LinearIsometry.instFunLike.{u_1, u_1, u_2, u_3} π•œ π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.6))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.9) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354822._hygCtx._hyg.16) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ 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Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {n : WithTop β„•βˆž}\n (f : E β†’β‚—α΅’[π•œ] F), ContDiff π•œ n ⇑f","typeReferences":[["NormedSpace","toModule"],["ENat"],["WithTop"],["DivisionSemiring","toSemiring"],["DFunLike","coe"],["NontriviallyNormedField","toNormedField"],["Semiring","toNonAssocSemiring"],["NontriviallyNormedField"],["NormedField","toField"],["NormedSpace"],["RingHom","id"],["ContDiff"],["Field","toSemifield"],["NormedAddCommGroup"],["Semifield","toDivisionSemiring"],["LinearIsometry"],["LinearIsometry","instFunLike"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["LinearIsometry","toContinuousLinearMap"],["NormedSpace","toModule"],["Semiring","toNonAssocSemiring"],["NormedField","toField"],["RingHom","id"],["Field","toSemifield"],["Semifield","toDivisionSemiring"],["DivisionSemiring","toSemiring"],["ContinuousLinearMap","contDiff"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["NontriviallyNormedField","toNormedField"]]},{"isProp":true,"kind":"theorem","name":["ContinuousLinearEquiv","comp_contDiffAt_iff"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3804851393._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3804851393._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3804851393._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3804851393._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3804851393._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3804851393._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3804851393._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3804851393._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3804851393._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3804851393._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3804851393._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3804851393._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3804851393._hygCtx._hyg.23)] {f : E -> F} {x : E} {n : WithTop.{0} ENat} (e : ContinuousLinearEquiv.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3804851393._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3804851393._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3804851393._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3804851393._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3804851393._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3804851393._hygCtx._hyg.19 n f x)","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {f : E β†’ F} {x : E} {n : WithTop β„•βˆž} (e : F ≃L[π•œ] G),\n ContDiffAt π•œ n (⇑e ∘ f) x ↔ ContDiffAt π•œ n f x","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {f : E β†’ F} {x : E} {n : WithTop β„•βˆž} (e : F ≃L[π•œ] G),\n ContDiffAt π•œ n (⇑e ∘ f) x ↔ ContDiffAt π•œ n f 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{π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)] {n : Nat}, Eq.{max (succ u_2) (succ u_3)} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin n) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16))) (fun (i : Fin n) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.19) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)))))) (iteratedFDeriv.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.19 n (fun (x._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.72 : E) => OfNat.ofNat.{u_3} F 0 (Zero.toOfNat0.{u_3} F (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16))))))))) (OfNat.ofNat.{max u_2 u_3} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin n) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.19) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)))))) 0 (Zero.toOfNat0.{max u_2 u_3} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin n) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16))) (fun (i : Fin n) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.19) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)))))) (Pi.instZero.{u_2, max u_2 u_3} E (fun (a._@._internal._hyg.0 : E) => ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin n) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16))) (fun (i : Fin n) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.19) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16))))) (fun (i : E) => ContinuousMultilinearMap.instZero.{u_1, 0, u_2, u_3} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin n) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16))) (fun (i : Fin n) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.19) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2692973047._hygCtx._hyg.16))))))))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {n : β„•},\n (iteratedFDeriv π•œ n fun x => 0) = 0","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {n : β„•},\n (iteratedFDeriv π•œ n fun x => 0) = 0","typeReferences":[["SubtractionMonoid","toSubNegZeroMonoid"],["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["Fin"],["SubtractionCommMonoid","toSubtractionMonoid"],["NormedAddCommGroup","toAddCommGroup"],["SubNegZeroMonoid","toNegZeroClass"],["NontriviallyNormedField","toNormedField"],["NormedField","toField"],["NontriviallyNormedField"],["NormedSpace"],["NormedAddCommGroup"],["Zero","toOfNat0"],["Semifield","toDivisionSemiring"],["Eq"],["ContinuousMultilinearMap","instZero"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["iteratedFDeriv"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["OfNat","ofNat"],["Nat"],["AddCommGroup","toDivisionAddCommMonoid"],["Field","toSemifield"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["NegZeroClass","toZero"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["Pi","instZero"]],"valueReferences":[["iteratedFDeriv_zero"]]},{"isProp":true,"kind":"theorem","name":["_private","Mathlib","Analysis","Calculus","ContDiff","Basic",0,"ContinuousLinearEquiv","comp_contDiff_iff","_simp_1_1"],"typeFallback":"forall {π•œ : Type.{u}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.2180291263._hygCtx._hyg.3 : NontriviallyNormedField.{u} π•œ] {E : Type.{uE}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.2180291263._hygCtx._hyg.7 : NormedAddCommGroup.{uE} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.2180291263._hygCtx._hyg.10 : NormedSpace.{u, uE} π•œ E (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.2180291263._hygCtx._hyg.3) (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.2180291263._hygCtx._hyg.7)] {F : Type.{uF}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.2180291263._hygCtx._hyg.15 : NormedAddCommGroup.{uF} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.2180291263._hygCtx._hyg.18 : NormedSpace.{u, uF} π•œ F (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.2180291263._hygCtx._hyg.3) (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.2180291263._hygCtx._hyg.15)] {f : E -> F} {n : WithTop.{0} ENat}, Eq.{1} Prop (ContDiff.{u, uE, uF} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.2180291263._hygCtx._hyg.3 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.2180291263._hygCtx._hyg.7 inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.2180291263._hygCtx._hyg.10 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.2180291263._hygCtx._hyg.15 inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.2180291263._hygCtx._hyg.18 n f) (ContDiffOn.{u, uE, uF} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.2180291263._hygCtx._hyg.3 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.2180291263._hygCtx._hyg.7 inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.2180291263._hygCtx._hyg.10 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.2180291263._hygCtx._hyg.15 inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.2180291263._hygCtx._hyg.18 n f (Set.univ.{uE} E))","typeFull":"βˆ€ {π•œ : Type u} [inst : NontriviallyNormedField π•œ] {E : Type uE} [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {F : Type uF} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F}\n {n : WithTop β„•βˆž}, ContDiff π•œ n f = ContDiffOn π•œ n f Set.univ","typeReadable":"βˆ€ {π•œ : Type u} [inst : NontriviallyNormedField π•œ] {E : Type uE} [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {F : Type uF} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F}\n {n : WithTop β„•βˆž}, ContDiff π•œ n f = ContDiffOn π•œ n f Set.univ","typeReferences":[["Set","univ"],["NontriviallyNormedField"],["NormedSpace"],["ContDiff"],["ENat"],["WithTop"],["NormedAddCommGroup"],["Eq"],["ContDiffOn"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["NontriviallyNormedField","toNormedField"]],"valueReferences":[["Set","univ"],["contDiffOn_univ"],["ContDiff"],["Eq","symm"],["ContDiffOn"],["propext"]]},{"isProp":true,"kind":"theorem","name":["ContinuousLinearMap","contDiff"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.16)] {n : WithTop.{0} ENat} (f : ContinuousLinearMap.{u_1, u_1, u_2, u_3} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.6))))))) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.9)) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.16)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.19)), ContDiff.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.19 n (DFunLike.coe.{max (succ u_2) (succ u_3), succ u_2, succ u_3} (ContinuousLinearMap.{u_1, u_1, u_2, u_3} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.6))))))) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.9)) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.16)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.19)) E (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : E) => F) (ContinuousLinearMap.funLike.{u_1, u_1, u_2, u_3} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.6))))))) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.9)) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.16)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354820._hygCtx._hyg.19)) f)","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {n : WithTop β„•βˆž}\n (f : E β†’L[π•œ] F), ContDiff π•œ n ⇑f","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {n : WithTop β„•βˆž}\n (f : E β†’L[π•œ] F), ContDiff π•œ n ⇑f","typeReferences":[["NormedSpace","toModule"],["PseudoMetricSpace","toUniformSpace"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["UniformSpace","toTopologicalSpace"],["ENat"],["WithTop"],["DivisionSemiring","toSemiring"],["DFunLike","coe"],["NormedAddCommGroup","toAddCommGroup"],["NontriviallyNormedField","toNormedField"],["ContinuousLinearMap"],["ContinuousLinearMap","funLike"],["Semiring","toNonAssocSemiring"],["NontriviallyNormedField"],["NormedField","toField"],["NormedSpace"],["RingHom","id"],["ContDiff"],["AddCommGroup","toAddCommMonoid"],["Field","toSemifield"],["NormedAddCommGroup"],["Semifield","toDivisionSemiring"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["IsBoundedLinearMap","contDiff"],["NormedSpace","toModule"],["SeminormedAddCommGroup","toAddCommGroup"],["PseudoMetricSpace","toUniformSpace"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["UniformSpace","toTopologicalSpace"],["DivisionSemiring","toSemiring"],["DFunLike","coe"],["ContinuousLinearMap"],["NontriviallyNormedField","toNormedField"],["ContinuousLinearMap","funLike"],["NormedField","toField"],["Semiring","toNonAssocSemiring"],["ContinuousLinearMap","isBoundedLinearMap"],["RingHom","id"],["AddCommGroup","toAddCommMonoid"],["Field","toSemifield"],["Semifield","toDivisionSemiring"],["NormedAddCommGroup","toSeminormedAddCommGroup"]]},{"isProp":true,"kind":"theorem","name":["ftaylorSeriesWithin_fun_zero"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)], Eq.{max (succ u_2) (succ u_3)} ((Set.{u_2} E) -> E -> (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E 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π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (ftaylorSeriesWithin.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19 (fun (x._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.68 : E) => OfNat.ofNat.{u_3} F 0 (Zero.toOfNat0.{u_3} F (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))))))) (OfNat.ofNat.{max u_2 u_3} ((Set.{u_2} E) -> E -> (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) 0 (Zero.toOfNat0.{max u_2 u_3} ((Set.{u_2} E) -> E -> (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (Pi.instZero.{u_2, max u_2 u_3} (Set.{u_2} E) (fun (s : Set.{u_2} E) => E -> (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (fun (i : Set.{u_2} E) => Pi.instZero.{u_2, max u_2 u_3} E (fun (x : E) => FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19)))) (fun (i : E) => NegZeroClass.toZero.{max u_2 u_3} (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19)))) (SubNegZeroMonoid.toNegZeroClass.{max u_2 u_3} (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19)))) (SubtractionMonoid.toSubNegZeroMonoid.{max u_2 u_3} (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19)))) (SubtractionCommMonoid.toSubtractionMonoid.{max u_2 u_3} (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19)))) (AddCommGroup.toDivisionAddCommMonoid.{max u_2 u_3} (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19)))) (FormalMultilinearSeries.instAddCommGroup.{u_1, u_2, u_3} π•œ E F (NormedRing.toRing.{u_1} π•œ (NormedCommRing.toNormedRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6)))) (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.12))) (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.255615306._hygCtx._hyg.19)))))))))))))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F],\n (ftaylorSeriesWithin π•œ fun x => 0) = 0","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F],\n (ftaylorSeriesWithin π•œ fun x => 0) = 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{π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.720358059._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.720358059._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.720358059._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.720358059._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.720358059._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.720358059._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.720358059._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.720358059._hygCtx._hyg.6) 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iteratedFDeriv π•œ n f = iteratedFDerivWithin π•œ n f Set.univ","typeReadable":"βˆ€ {π•œ : Type u} [inst : NontriviallyNormedField π•œ] {E : Type uE} [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {F : Type uF} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F}\n {n : β„•}, iteratedFDeriv π•œ n f = iteratedFDerivWithin π•œ n f 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{π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)] {s : Set.{u_2} E} {n : WithTop.{0} ENat} {f : E -> F} (g : ContinuousLinearMap.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.12)), (ContDiffOn.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.19 n f s) -> (UniqueDiffOn.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9)))) s) -> (UniqueDiffOn.{u_1, u_4} π•œ G (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.26) (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)))) (Set.preimage.{u_4, u_2} G E (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearMap.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.12)) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (ContinuousLinearMap.funLike.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.12)) g) s)) -> (forall {x : G}, (Membership.mem.{u_2, u_2} E (Set.{u_2} E) (Set.instMembership.{u_2} E) s (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearMap.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.12)) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (ContinuousLinearMap.funLike.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.12)) g x)) -> (forall {i : Nat}, (LE.le.{0} (WithTop.{0} ENat) (Preorder.toLE.{0} (WithTop.{0} ENat) (WithTop.instPreorder.{0} ENat instPreorderENat)) (Nat.cast.{0} (WithTop.{0} ENat) (WithTop.natCast.{0} ENat ENat.instNatCast) i) n) -> (Eq.{max (succ u_3) (succ u_4)} (ContinuousMultilinearMap.{u_1, 0, u_4, u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => G) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.16))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.16))))) (iteratedFDerivWithin.{u_1, u_4, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.26 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.19 i (Function.comp.{succ u_4, succ u_2, succ u_3} G E F f (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearMap.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.12)) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (ContinuousLinearMap.funLike.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.12)) g)) (Set.preimage.{u_4, u_2} G E (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearMap.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.12)) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (ContinuousLinearMap.funLike.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.12)) g) s) x) (ContinuousMultilinearMap.compContinuousLinearMap.{u_1, 0, u_4, u_2, u_3} π•œ (Fin i) (fun (x._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.143 : Fin i) => G) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (fun (i : Fin i) => AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.16))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.26) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)))) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.16)))) (iteratedFDerivWithin.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.19 i f s (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearMap.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.12)) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (ContinuousLinearMap.funLike.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094385._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ 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Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {n : WithTop β„•βˆž} {f : E β†’ F} (g : G β†’L[π•œ] E),\n ContDiffOn π•œ n f s β†’\n UniqueDiffOn π•œ s β†’\n UniqueDiffOn π•œ (⇑g ⁻¹' s) β†’\n βˆ€ {x : G},\n g x ∈ s β†’\n βˆ€ {i : β„•},\n ↑i ≀ n β†’\n iteratedFDerivWithin π•œ i (f ∘ ⇑g) (⇑g ⁻¹' s) x =\n (iteratedFDerivWithin π•œ i f s (g x)).compContinuousLinearMap fun x => g","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {n : WithTop β„•βˆž} {f : E β†’ F} (g : G β†’L[π•œ] E),\n ContDiffOn π•œ n f s β†’\n 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{π•œ : Type.{u_1}} {E : Type.{u_2}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2734200500._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2734200500._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2734200500._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2734200500._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2734200500._hygCtx._hyg.9)] {n : WithTop.{0} ENat} {x : E}, ContDiffAt.{u_1, u_2, u_2} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2734200500._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2734200500._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2734200500._hygCtx._hyg.12 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2734200500._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2734200500._hygCtx._hyg.12 n (id.{succ u_2} E) x","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {n : WithTop β„•βˆž} {x : E}, ContDiffAt π•œ n id x","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {n : WithTop β„•βˆž} {x : E}, ContDiffAt π•œ n id x","typeReferences":[["NontriviallyNormedField"],["NormedSpace"],["id"],["ENat"],["WithTop"],["NormedAddCommGroup"],["ContDiffAt"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["NontriviallyNormedField","toNormedField"]],"valueReferences":[["id"],["ContDiff","contDiffAt"],["contDiff_id"]]},{"isProp":true,"kind":"theorem","name":["ContDiff","continuousLinearMap_comp"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.23)] {n : WithTop.{0} ENat} {f : E -> F} (g : ContinuousLinearMap.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.6))))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.26)), (ContDiff.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.19 n f) -> (ContDiff.{u_1, u_2, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.12 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.26 n (fun (x : E) => DFunLike.coe.{max (succ u_3) (succ u_4), succ u_3, succ u_4} (ContinuousLinearMap.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.6))))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.6))))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F 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(NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217858._hygCtx._hyg.26)) g (f x)))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {n : WithTop β„•βˆž} {f : E β†’ F} (g : F β†’L[π•œ] G),\n ContDiff π•œ n f β†’ ContDiff π•œ n fun x => g (f x)","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {n : WithTop β„•βˆž} {f : E β†’ F} (g : F β†’L[π•œ] G),\n ContDiff π•œ n f β†’ ContDiff π•œ n fun x => g (f x)","typeReferences":[["NormedSpace","toModule"],["PseudoMetricSpace","toUniformSpace"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["UniformSpace","toTopologicalSpace"],["ENat"],["WithTop"],["DivisionSemiring","toSemiring"],["DFunLike","coe"],["NormedAddCommGroup","toAddCommGroup"],["NontriviallyNormedField","toNormedField"],["ContinuousLinearMap"],["ContinuousLinearMap","funLike"],["Semiring","toNonAssocSemiring"],["NontriviallyNormedField"],["NormedField","toField"],["NormedSpace"],["RingHom","id"],["ContDiff"],["AddCommGroup","toAddCommMonoid"],["Field","toSemifield"],["NormedAddCommGroup"],["Semifield","toDivisionSemiring"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["NormedSpace","toModule"],["PseudoMetricSpace","toUniformSpace"],["ContDiffOn","continuousLinearMap_comp"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["UniformSpace","toTopologicalSpace"],["Iff","mp"],["DivisionSemiring","toSemiring"],["NormedAddCommGroup","toAddCommGroup"],["ContDiffOn"],["DFunLike","coe"],["ContinuousLinearMap"],["NontriviallyNormedField","toNormedField"],["Set","univ"],["ContinuousLinearMap","funLike"],["contDiffOn_univ"],["NormedField","toField"],["Semiring","toNonAssocSemiring"],["RingHom","id"],["Iff","mpr"],["ContDiff"],["AddCommGroup","toAddCommMonoid"],["Field","toSemifield"],["Semifield","toDivisionSemiring"],["NormedAddCommGroup","toSeminormedAddCommGroup"]]},{"isProp":true,"kind":"theorem","name":["ContDiffOn","union_of_isOpen"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.16)] {s : Set.{u_2} E} {t : Set.{u_2} E} {f : E -> F} {n : WithTop.{0} ENat}, (ContDiffOn.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.19 n f s) -> (ContDiffOn.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.19 n f t) -> (IsOpen.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.9)))) s) -> (IsOpen.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.9)))) t) -> (ContDiffOn.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2727904972._hygCtx._hyg.19 n f (Union.union.{u_2} (Set.{u_2} E) (Set.instUnion.{u_2} E) s t))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {s t : Set E} {f : E β†’ F}\n {n : WithTop β„•βˆž}, ContDiffOn π•œ n f s β†’ ContDiffOn π•œ n f t β†’ IsOpen s β†’ IsOpen t β†’ ContDiffOn π•œ n f (s βˆͺ t)","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {s t : Set E} {f : E β†’ F}\n {n : WithTop β„•βˆž}, ContDiffOn π•œ n f s β†’ ContDiffOn π•œ n f t β†’ IsOpen s β†’ IsOpen t β†’ ContDiffOn π•œ n f (s βˆͺ 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271482._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271482._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271482._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271482._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271482._hygCtx._hyg.23)] {n : WithTop.{0} ENat} {s : Set.{u_2} E} {f : E -> F} {g : E -> G}, (ContDiffOn.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271482._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271482._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271482._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271482._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271482._hygCtx._hyg.19 n f s) -> (ContDiffOn.{u_1, u_2, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271482._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271482._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271482._hygCtx._hyg.12 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271482._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271482._hygCtx._hyg.26 n g s) -> (ContDiffOn.{u_1, u_2, max u_4 u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271482._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271482._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271482._hygCtx._hyg.12 (Prod.{u_3, u_4} F G) (Prod.normedAddCommGroup.{u_3, u_4} F G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271482._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271482._hygCtx._hyg.23) 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β†’ G},\n ContDiffOn π•œ n f s β†’ ContDiffOn π•œ n g s β†’ ContDiffOn π•œ n (fun x => (f x, g x)) s","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {n : WithTop β„•βˆž} {s : Set E} {f : E β†’ F} {g : E β†’ G},\n ContDiffOn π•œ n f s β†’ ContDiffOn π•œ n g s β†’ ContDiffOn π•œ n (fun x => (f x, g x)) 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.16)] {s : Set.{u_2} E} {t : Set.{u_2} E} {f : E -> F} {n : WithTop.{0} ENat}, (IsOpen.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.9)))) s) -> (IsOpen.{u_2} E 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.19 n f s) (ContDiffOn.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.19 n f t)))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {s t : Set E} {f : E β†’ F}\n {n : WithTop β„•βˆž}, IsOpen s β†’ IsOpen t β†’ (ContDiffOn π•œ n f (s βˆͺ t) ↔ 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t)","typeReferences":[["PseudoMetricSpace","toUniformSpace"],["Set"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["UniformSpace","toTopologicalSpace"],["And"],["ENat"],["WithTop"],["Union","union"],["ContDiffOn"],["NontriviallyNormedField","toNormedField"],["NontriviallyNormedField"],["IsOpen"],["NormedSpace"],["Iff"],["NormedAddCommGroup"],["Set","instUnion"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["ContDiffOn","union_of_isOpen"],["_private","Mathlib","Analysis","Calculus","ContDiff","Basic",0,"contDiffOn_union_iff_of_isOpen","match_1_1"],["And","intro"],["Set","subset_union_left"],["Set"],["ContDiffOn","mono"],["And"],["Set","instUnion"],["Union","union"],["ContDiffOn"],["Set","subset_union_right"],["Iff","intro"]]},{"isProp":true,"kind":"theorem","name":["ContinuousLinearEquiv","iteratedFDeriv_comp_left"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.23)] {f : E -> F} {x : E} (g : ContinuousLinearEquiv.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6)))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.26)) {i : Nat}, Eq.{max (succ u_2) (succ u_4)} (ContinuousMultilinearMap.{u_1, 0, u_2, u_4} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin i) => E) G (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} οΏ½οΏ½ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.23)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.23)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.23))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.26) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.23))))) (iteratedFDeriv.{u_1, u_2, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.12 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.26 i (Function.comp.{succ u_2, succ u_3, succ u_4} E F G (DFunLike.coe.{max (succ u_3) (succ u_4), succ u_3, succ u_4} (ContinuousLinearEquiv.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6)))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.26)) F (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : F) => G) (EquivLike.toFunLike.{max (succ u_3) (succ u_4), succ u_3, succ u_4} (ContinuousLinearEquiv.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6)))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.26)) F G (ContinuousLinearEquiv.equivLike.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6)))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.26))) g) f) x) (ContinuousLinearMap.compContinuousMultilinearMap.{u_1, 0, u_2, u_3, u_4} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin i) => E) F G (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.9))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.16)) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.23)) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.26) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.16)))) (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.23)))) (ContinuousLinearEquiv.toContinuousLinearMap.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6)))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.26) g) (iteratedFDeriv.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1906083163._hygCtx._hyg.19 i f x))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {f : E β†’ F} {x : E} (g : F ≃L[π•œ] G) {i : β„•},\n iteratedFDeriv π•œ i (⇑g ∘ f) x = (↑g).compContinuousMultilinearMap (iteratedFDeriv π•œ i f x)","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {f : E β†’ F} {x : E} (g : F ≃L[π•œ] G) {i : β„•},\n iteratedFDeriv π•œ i (⇑g ∘ f) x = (↑g).compContinuousMultilinearMap (iteratedFDeriv π•œ i f x)","typeReferences":[["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["Fin"],["DFunLike","coe"],["NormedAddCommGroup","toAddCommGroup"],["NontriviallyNormedField","toNormedField"],["Semiring","toNonAssocSemiring"],["NormedField","toField"],["NontriviallyNormedField"],["RingHom","id"],["NormedSpace"],["EquivLike","toFunLike"],["NormedAddCommGroup"],["Semifield","toDivisionSemiring"],["Eq"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["ContinuousLinearEquiv","equivLike"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["iteratedFDeriv"],["Function","comp"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["Nat"],["ContinuousLinearEquiv"],["ContinuousLinearMap","compContinuousMultilinearMap"],["RingHomInvPair","ids"],["Field","toSemifield"],["AddCommGroup","toAddCommMonoid"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["ContinuousLinearEquiv","toContinuousLinearMap"]],"valueReferences":[["SubtractionMonoid","toSubNegZeroMonoid"],["PseudoMetricSpace","toUniformSpace"],["AddCommGroup","toAddGroup"],["uniqueDiffOn_univ"],["Fin"],["SMulZeroClass","toSMul"],["NormedAddCommGroup","toAddCommGroup"],["NonUnitalNonAssocRing","toNonUnitalNonAssocSemiring"],["Semiring","toNonAssocSemiring"],["RingHom","id"],["congrFun"],["NonUnitalNonAssocCommRing","toNonUnitalNonAssocRing"],["IsBoundedSMul","continuousSMul"],["AddGroup","toSubNegMonoid"],["Semifield","toDivisionSemiring"],["NormedField","toNormedCommRing"],["DistribSMul","toSMulZeroClass"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["NonUnitalCommRing","toNonUnitalNonAssocCommRing"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["NonAssocSemiring","toNonUnitalNonAssocSemiring"],["DistribMulAction","toDistribSMul"],["iteratedFDeriv"],["DivisionSemiring","toSemiring"],["AddZeroClass","toAddZero"],["ContinuousMultilinearMap"],["SeminormedCommRing","toSeminormedRing"],["NormedField","nhdsNE_neBot"],["_private","Mathlib","Analysis","Calculus","ContDiff","Basic",0,"ContinuousLinearEquiv","iteratedFDeriv_comp_left","_simp_1_1"],["iteratedFDerivWithin"],["ContinuousLinearEquiv","iteratedFDerivWithin_comp_left"],["ContinuousLinearMap","compContinuousMultilinearMap"],["NegZeroClass","toZero"],["AddCommGroup","toAddCommMonoid"],["RingHomInvPair","ids"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["id"],["NonUnitalNormedCommRing","toNonUnitalCommRing"],["Eq","mpr"],["AddZero","toZero"],["AddMonoid","toAddZeroClass"],["ContinuousLinearEquiv","toContinuousLinearMap"],["UniformSpace","toTopologicalSpace"],["SubtractionCommMonoid","toSubtractionMonoid"],["SubNegZeroMonoid","toNegZeroClass"],["DFunLike","coe"],["NontriviallyNormedField","toNormedField"],["congrArg"],["SeminormedRing","toPseudoMetricSpace"],["NormedField","toField"],["congr"],["MonoidWithZero","toMonoid"],["EquivLike","toFunLike"],["Zero","toOfNat0"],["Eq"],["ContinuousLinearEquiv","equivLike"],["Semiring","toMonoidWithZero"],["Function","comp"],["OfNat","ofNat"],["Set","univ"],["Module","toDistribMulAction"],["SubNegMonoid","toAddMonoid"],["AddCommGroup","toDivisionAddCommMonoid"],["ContinuousLinearEquiv"],["MulZeroClass","toZero"],["NonUnitalNonAssocSemiring","toMulZeroClass"],["Field","toSemifield"],["NormedCommRing","toSeminormedCommRing"],["NormedSpace","toIsBoundedSMul"],["trivial"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["NormedCommRing","toNonUnitalNormedCommRing"]]},{"isProp":true,"kind":"theorem","name":["_private","Mathlib","Analysis","Calculus","ContDiff","Basic",0,"LinearIsometry","norm_iteratedFDeriv_comp_left","_simp_1_1"],"typeFallback":"forall {π•œ : Type.{u}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3 : NontriviallyNormedField.{u} π•œ] {E : Type.{uE}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7 : NormedAddCommGroup.{uE} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.10 : NormedSpace.{u, uE} π•œ E (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3) (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7)] {F : Type.{uF}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15 : NormedAddCommGroup.{uF} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.18 : NormedSpace.{u, uF} π•œ F (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3) (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15)] {f : E -> F} {n : Nat}, Eq.{max (succ uE) (succ uF)} (E -> (ContinuousMultilinearMap.{u, 0, uE, uF} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin n) => E) F (DivisionSemiring.toSemiring.{u} π•œ (Semifield.toDivisionSemiring.{u} π•œ (Field.toSemifield.{u} π•œ (NormedField.toField.{u} π•œ (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{uE} E (UniformSpace.toTopologicalSpace.{uE} E (PseudoMetricSpace.toUniformSpace.{uE} E (SeminormedAddCommGroup.toPseudoMetricSpace.{uE} E (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{uE} E (UniformSpace.toTopologicalSpace.{uE} E (PseudoMetricSpace.toUniformSpace.{uE} E (SeminormedAddCommGroup.toPseudoMetricSpace.{uE} E (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7)))) (NormedAddCommGroup.toENormedAddCommMonoid.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7))) (ESeminormedAddCommMonoid.toAddCommMonoid.{uF} F (UniformSpace.toTopologicalSpace.{uF} F (PseudoMetricSpace.toUniformSpace.{uF} F (SeminormedAddCommGroup.toPseudoMetricSpace.{uF} F (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{uF} F (UniformSpace.toTopologicalSpace.{uF} F (PseudoMetricSpace.toUniformSpace.{uF} F (SeminormedAddCommGroup.toPseudoMetricSpace.{uF} F (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15)))) (NormedAddCommGroup.toENormedAddCommMonoid.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15))) (fun (i : Fin n) => NormedSpace.toModule.{u, uE} π•œ E (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3) (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7) inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.10) (NormedSpace.toModule.{u, uF} π•œ F (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3) (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15) inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.18) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{uE} E (PseudoMetricSpace.toUniformSpace.{uE} E (SeminormedAddCommGroup.toPseudoMetricSpace.{uE} E (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7)))) (UniformSpace.toTopologicalSpace.{uF} F (PseudoMetricSpace.toUniformSpace.{uF} F (SeminormedAddCommGroup.toPseudoMetricSpace.{uF} F (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15)))))) (iteratedFDeriv.{u, uE, uF} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3 E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.10 F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.18 n f) (iteratedFDerivWithin.{u, uE, uF} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3 E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.10 F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.18 n f (Set.univ.{uE} E))","typeFull":"βˆ€ {π•œ : Type u} [inst : NontriviallyNormedField π•œ] {E : Type uE} [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {F : Type uF} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F}\n {n : β„•}, iteratedFDeriv π•œ n f = iteratedFDerivWithin π•œ n f Set.univ","typeReadable":"βˆ€ {π•œ : Type u} [inst : NontriviallyNormedField π•œ] {E : Type uE} [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {F : Type uF} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F}\n {n : β„•}, iteratedFDeriv π•œ n f = iteratedFDerivWithin π•œ n f Set.univ","typeReferences":[["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["PseudoMetricSpace","toUniformSpace"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["UniformSpace","toTopologicalSpace"],["Fin"],["iteratedFDeriv"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["NontriviallyNormedField","toNormedField"],["Set","univ"],["Nat"],["NontriviallyNormedField"],["NormedField","toField"],["iteratedFDerivWithin"],["NormedSpace"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["Field","toSemifield"],["NormedAddCommGroup"],["Semifield","toDivisionSemiring"],["Eq"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["PseudoMetricSpace","toUniformSpace"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["UniformSpace","toTopologicalSpace"],["Fin"],["iteratedFDeriv"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["NontriviallyNormedField","toNormedField"],["Set","univ"],["NormedField","toField"],["iteratedFDerivWithin"],["iteratedFDerivWithin_univ"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["Eq","symm"],["Field","toSemifield"],["Semifield","toDivisionSemiring"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"]]},{"isProp":true,"kind":"theorem","name":["ContinuousLinearEquiv","comp_contDiff_iff"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.23)] {f : E -> F} {n : WithTop.{0} ENat} (e : ContinuousLinearEquiv.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6)))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.26)), Iff (ContDiff.{u_1, u_2, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.12 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.26 n (Function.comp.{succ u_2, succ u_3, succ u_4} E F G (DFunLike.coe.{max (succ u_3) (succ u_4), succ u_3, succ u_4} (ContinuousLinearEquiv.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6)))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.26)) F (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : F) => G) (EquivLike.toFunLike.{max (succ u_3) (succ u_4), succ u_3, succ u_4} (ContinuousLinearEquiv.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6)))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.26)) F G (ContinuousLinearEquiv.equivLike.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6)))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.26))) e) f)) (ContDiff.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1250530225._hygCtx._hyg.12 F 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271484._hygCtx._hyg.23)] {n : WithTop.{0} ENat} {f : E -> F} {g : E -> G}, (ContDiff.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271484._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271484._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271484._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271484._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271484._hygCtx._hyg.19 n f) -> (ContDiff.{u_1, u_2, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271484._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271484._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271484._hygCtx._hyg.12 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271484._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271484._hygCtx._hyg.26 n g) -> (ContDiff.{u_1, u_2, max u_4 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271484._hygCtx._hyg.26) n (fun (x : E) => Prod.mk.{u_3, u_4} F G (f x) (g x)))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {n : WithTop β„•βˆž} {f : E β†’ F} {g : E β†’ G},\n ContDiff π•œ n f β†’ ContDiff π•œ n g β†’ ContDiff π•œ n fun x => (f x, g x)","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {n : WithTop β„•βˆž} {f : E β†’ F} {g : E β†’ G},\n ContDiff π•œ n f β†’ ContDiff π•œ n g β†’ ContDiff π•œ n fun x => (f x, g x)","typeReferences":[["Prod"],["NontriviallyNormedField"],["Prod","mk"],["NormedSpace"],["Prod","normedAddCommGroup"],["ContDiff"],["ENat"],["WithTop"],["NormedAddCommGroup"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["Prod","normedSpace"],["NontriviallyNormedField","toNormedField"]],"valueReferences":[["Prod","mk"],["ContDiff","contDiffOn"],["Iff","mp"],["ContDiffOn"],["NontriviallyNormedField","toNormedField"],["Prod"],["Set","univ"],["contDiffOn_univ"],["Prod","normedAddCommGroup"],["ContDiff"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["Prod","normedSpace"],["ContDiffOn","prodMk"]]},{"isProp":true,"kind":"theorem","name":["iteratedFDeriv_prodMk"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} 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[inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.23)] {x : E} {n : WithTop.{0} ENat} {f : E -> F} {g : E -> G}, (ContDiffAt.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.19 n f x) -> (ContDiffAt.{u_1, u_2, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.12 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.26 n g x) -> (forall {i : Nat}, (LE.le.{0} (WithTop.{0} ENat) (Preorder.toLE.{0} (WithTop.{0} ENat) (WithTop.instPreorder.{0} ENat instPreorderENat)) (Nat.cast.{0} (WithTop.{0} ENat) (WithTop.natCast.{0} ENat ENat.instNatCast) i) n) -> (Eq.{max (max (succ u_2) (succ u_3)) (succ u_4)} (ContinuousMultilinearMap.{u_1, 0, u_2, max u_4 u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin i) => E) (Prod.{u_3, u_4} F G) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ 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(Prod.{u_3, u_4} F G) (PseudoMetricSpace.toUniformSpace.{max u_4 u_3} (Prod.{u_3, u_4} F G) (SeminormedAddCommGroup.toPseudoMetricSpace.{max u_4 u_3} (Prod.{u_3, u_4} F G) (NormedAddCommGroup.toSeminormedAddCommGroup.{max u_4 u_3} (Prod.{u_3, u_4} F G) (Prod.normedAddCommGroup.{u_3, u_4} F G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.23))))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{max u_4 u_3} (Prod.{u_3, u_4} F G) (UniformSpace.toTopologicalSpace.{max u_4 u_3} (Prod.{u_3, u_4} F G) (PseudoMetricSpace.toUniformSpace.{max u_4 u_3} (Prod.{u_3, u_4} F G) (SeminormedAddCommGroup.toPseudoMetricSpace.{max u_4 u_3} (Prod.{u_3, u_4} F G) (NormedAddCommGroup.toSeminormedAddCommGroup.{max u_4 u_3} (Prod.{u_3, u_4} F G) (Prod.normedAddCommGroup.{u_3, u_4} F G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.23))))) (NormedAddCommGroup.toENormedAddCommMonoid.{max u_4 u_3} (Prod.{u_3, u_4} F G) (Prod.normedAddCommGroup.{u_3, u_4} F G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.23)))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, max u_4 u_3} π•œ (Prod.{u_3, u_4} F G) (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{max u_4 u_3} (Prod.{u_3, u_4} F G) (Prod.normedAddCommGroup.{u_3, u_4} F G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.23)) (Prod.normedSpace.{u_1, u_3, u_4} π•œ F G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.16) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.19 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.26)) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{max u_4 u_3} (Prod.{u_3, u_4} F G) (PseudoMetricSpace.toUniformSpace.{max u_4 u_3} (Prod.{u_3, u_4} F G) (SeminormedAddCommGroup.toPseudoMetricSpace.{max u_4 u_3} (Prod.{u_3, u_4} F G) (NormedAddCommGroup.toSeminormedAddCommGroup.{max u_4 u_3} (Prod.{u_3, u_4} F G) (Prod.normedAddCommGroup.{u_3, u_4} F G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.23)))))) (iteratedFDeriv.{u_1, u_2, max u_4 u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.12 (Prod.{u_3, u_4} F G) (Prod.normedAddCommGroup.{u_3, u_4} F G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.23) (Prod.normedSpace.{u_1, u_3, u_4} π•œ F G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.16) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.19 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.26) i (fun (x : E) => Prod.mk.{u_3, u_4} F G (f x) (g x)) x) (ContinuousMultilinearMap.prod.{u_1, 0, u_2, u_3, u_4} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin i) => E) F G (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.16))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.26) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.16)))) (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.23)))) (iteratedFDeriv.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.19 i f x) (iteratedFDeriv.{u_1, u_2, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.12 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1039088186._hygCtx._hyg.26 i g x))))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {x : E} {n : WithTop β„•βˆž} {f : E β†’ F} {g : E β†’ G},\n ContDiffAt π•œ n f x β†’\n ContDiffAt π•œ n g x β†’\n βˆ€ {i : β„•},\n ↑i ≀ n β†’ iteratedFDeriv π•œ i (fun x => (f x, g x)) x = (iteratedFDeriv π•œ i f x).prod (iteratedFDeriv π•œ i g x)","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {x : E} {n : WithTop β„•βˆž} {f : E β†’ F} {g : E β†’ G},\n ContDiffAt π•œ n f x β†’\n ContDiffAt π•œ n g x β†’\n βˆ€ {i : β„•},\n ↑i ≀ n β†’ iteratedFDeriv π•œ i (fun x => (f x, g x)) x = (iteratedFDeriv π•œ i f x).prod (iteratedFDeriv π•œ i g x)","typeReferences":[["Nat","cast"],["PseudoMetricSpace","toUniformSpace"],["Prod","mk"],["UniformSpace","toTopologicalSpace"],["ENat"],["WithTop"],["WithTop","natCast"],["Fin"],["NontriviallyNormedField","toNormedField"],["NontriviallyNormedField"],["NormedField","toField"],["NormedSpace"],["Prod","normedAddCommGroup"],["NormedAddCommGroup"],["Semifield","toDivisionSemiring"],["Preorder","toLE"],["Eq"],["NormedAddCommGroup","toENormedAddCommMonoid"],["ENat","instNatCast"],["NormedSpace","toModule"],["ContinuousMultilinearMap","prod"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["iteratedFDeriv"],["ContDiffAt"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["Prod"],["Nat"],["WithTop","instPreorder"],["instPreorderENat"],["LE","le"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["Field","toSemifield"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["Prod","normedSpace"]],"valueReferences":[["SubtractionMonoid","toSubNegZeroMonoid"],["PseudoMetricSpace","toUniformSpace"],["Prod","mk"],["AddCommGroup","toAddGroup"],["uniqueDiffOn_univ"],["Fin"],["SMulZeroClass","toSMul"],["NormedAddCommGroup","toAddCommGroup"],["Prod","instAddCommMonoid"],["Set","mem_univ"],["NonUnitalNonAssocRing","toNonUnitalNonAssocSemiring"],["Semiring","toNonAssocSemiring"],["congrFun"],["Prod","normedAddCommGroup"],["NonUnitalNonAssocCommRing","toNonUnitalNonAssocRing"],["IsBoundedSMul","continuousSMul"],["AddGroup","toSubNegMonoid"],["Semifield","toDivisionSemiring"],["NormedField","toNormedCommRing"],["DistribSMul","toSMulZeroClass"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["ContinuousMultilinearMap","prod"],["NonUnitalCommRing","toNonUnitalNonAssocCommRing"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["NonAssocSemiring","toNonUnitalNonAssocSemiring"],["DistribMulAction","toDistribSMul"],["iteratedFDeriv"],["DivisionSemiring","toSemiring"],["AddZeroClass","toAddZero"],["ContinuousMultilinearMap"],["SeminormedCommRing","toSeminormedRing"],["NormedField","nhdsNE_neBot"],["_private","Mathlib","Analysis","Calculus","ContDiff","Basic",0,"iteratedFDeriv_prodMk","_simp_1_1"],["Prod"],["iteratedFDerivWithin"],["iteratedFDerivWithin_prodMk"],["AddCommGroup","toAddCommMonoid"],["NegZeroClass","toZero"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["id"],["ContDiffAt","contDiffWithinAt"],["NonUnitalNormedCommRing","toNonUnitalCommRing"],["Eq","mpr"],["AddZero","toZero"],["AddMonoid","toAddZeroClass"],["UniformSpace","toTopologicalSpace"],["instTopologicalSpaceProd"],["SubtractionCommMonoid","toSubtractionMonoid"],["SubNegZeroMonoid","toNegZeroClass"],["NontriviallyNormedField","toNormedField"],["congrArg"],["SeminormedRing","toPseudoMetricSpace"],["NormedField","toField"],["Prod","instModule"],["congr"],["MonoidWithZero","toMonoid"],["Zero","toOfNat0"],["Eq"],["Semiring","toMonoidWithZero"],["OfNat","ofNat"],["Set","univ"],["Module","toDistribMulAction"],["SubNegMonoid","toAddMonoid"],["AddCommGroup","toDivisionAddCommMonoid"],["MulZeroClass","toZero"],["NonUnitalNonAssocSemiring","toMulZeroClass"],["Field","toSemifield"],["NormedCommRing","toSeminormedCommRing"],["NormedSpace","toIsBoundedSMul"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["NormedCommRing","toNonUnitalNormedCommRing"],["Prod","normedSpace"]]},{"isProp":true,"kind":"theorem","name":["iteratedFDerivWithin_zero"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16)] {s : Set.{u_2} E} {i : Nat}, Eq.{max (succ u_2) (succ u_3)} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16)))))) (iteratedFDerivWithin.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.19 i (OfNat.ofNat.{max u_2 u_3} (E -> F) 0 (Zero.toOfNat0.{max u_2 u_3} (E -> F) (Pi.instZero.{u_2, u_3} E (fun (a._@._internal._hyg.0 : E) => F) (fun (i : E) => NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16))))))))) s) (OfNat.ofNat.{max u_2 u_3} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16)))))) 0 (Zero.toOfNat0.{max u_2 u_3} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16)))))) (Pi.instZero.{u_2, max u_2 u_3} E (fun (a._@._internal._hyg.0 : E) => ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16))))) (fun (i_1 : E) => ContinuousMultilinearMap.instZero.{u_1, 0, u_2, u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3359446913._hygCtx._hyg.16))))))))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {s : Set E} {i : β„•},\n iteratedFDerivWithin π•œ i 0 s = 0","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {s : Set E} {i : β„•},\n iteratedFDerivWithin π•œ i 0 s = 0","typeReferences":[["SubtractionMonoid","toSubNegZeroMonoid"],["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["Fin"],["SubtractionCommMonoid","toSubtractionMonoid"],["NormedAddCommGroup","toAddCommGroup"],["SubNegZeroMonoid","toNegZeroClass"],["NontriviallyNormedField","toNormedField"],["NontriviallyNormedField"],["NormedField","toField"],["NormedSpace"],["NormedAddCommGroup"],["Zero","toOfNat0"],["Semifield","toDivisionSemiring"],["Eq"],["ContinuousMultilinearMap","instZero"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["Set"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["OfNat","ofNat"],["Nat"],["AddCommGroup","toDivisionAddCommMonoid"],["iteratedFDerivWithin"],["NegZeroClass","toZero"],["Field","toSemifield"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["Pi","instZero"]],"valueReferences":[["instAddNat"],["SubtractionMonoid","toSubNegZeroMonoid"],["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["Fin"],["SubtractionCommMonoid","toSubtractionMonoid"],["NormedAddCommGroup","toAddCommGroup"],["SubNegZeroMonoid","toNegZeroClass"],["NontriviallyNormedField","toNormedField"],["ContinuousMultilinearMap","ext"],["NormedField","toField"],["instOfNatNat"],["funext"],["Eq","symm"],["Zero","toOfNat0"],["Semifield","toDivisionSemiring"],["Eq","ndrec"],["Eq"],["Nat","casesAuxOn"],["iteratedFDerivWithin_succ_const"],["ContinuousMultilinearMap","instZero"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["instHAdd"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["OfNat","ofNat"],["HAdd","hAdd"],["eq_self"],["Nat"],["of_eq_true"],["AddCommGroup","toDivisionAddCommMonoid"],["iteratedFDerivWithin"],["Eq","refl"],["Field","toSemifield"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["NegZeroClass","toZero"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["Pi","instZero"]]},{"isProp":true,"kind":"theorem","name":["contDiffOn_of_subsingleton","_simp_1"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.287578961._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.287578961._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.287578961._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.287578961._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.287578961._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.287578961._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.287578961._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} οΏ½οΏ½οΏ½οΏ½ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.287578961._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.287578961._hygCtx._hyg.16)] {s : Set.{u_2} E} {f : E -> F} {n : WithTop.{0} ENat} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.287578961._hygCtx._hyg.59 : Subsingleton.{succ u_3} F], Eq.{1} Prop (ContDiffOn.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.287578961._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.287578961._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.287578961._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.287578961._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.287578961._hygCtx._hyg.19 n f s) True","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {s : Set E} {f : E β†’ F}\n {n : WithTop β„•βˆž} [Subsingleton F], ContDiffOn π•œ n f s = True","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {s : Set E} {f : E β†’ F}\n {n : WithTop β„•βˆž} [Subsingleton F], ContDiffOn π•œ n f s = True","typeReferences":[["Subsingleton"],["NontriviallyNormedField"],["True"],["Set"],["NormedSpace"],["ENat"],["WithTop"],["NormedAddCommGroup"],["Eq"],["ContDiffOn"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["NontriviallyNormedField","toNormedField"]],"valueReferences":[["eq_true"],["contDiffOn_of_subsingleton"],["ContDiffOn"]]},{"isProp":true,"kind":"theorem","name":["LinearIsometryEquiv","norm_iteratedFDeriv_comp_left"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.23)] (g : LinearIsometryEquiv.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6)))))) F G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.16) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.23) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.26)) (f : E -> F) (x : E) (i : Nat), Eq.{1} Real (Norm.norm.{max u_4 u_2} (ContinuousMultilinearMap.{u_1, 0, u_2, u_4} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin i) => E) G (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.23)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.23)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.23))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.26) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.23))))) (ContinuousMultilinearMap.hasOpNorm'.{u_1, 0, u_2, u_4} π•œ (Fin i) E G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6 (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.12 (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.26 (Fin.fintype i)) (iteratedFDeriv.{u_1, u_2, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.12 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.26 i (Function.comp.{succ u_2, succ u_3, succ u_4} E F G (DFunLike.coe.{max (succ u_3) (succ u_4), succ u_3, succ u_4} (LinearIsometryEquiv.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6)))))) F G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.16) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.23) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.26)) F (fun (a._@._internal._hyg.0 : F) => G) (EquivLike.toFunLike.{max (succ u_3) (succ u_4), succ u_3, succ u_4} (LinearIsometryEquiv.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6)))))) F G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.16) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.23) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.26)) F G (LinearIsometryEquiv.instEquivLike.{u_1, u_1, u_3, u_4} π•œ π•œ F G (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6)))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.16) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.23) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.26))) g) f) x)) (Norm.norm.{max u_3 u_2} (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin i) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.16))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.16))))) (ContinuousMultilinearMap.hasOpNorm'.{u_1, 0, u_2, u_3} π•œ (Fin i) E F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6 (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.12 (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.19 (Fin.fintype i)) (iteratedFDeriv.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372172._hygCtx._hyg.19 i f x))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] (g : F ≃ₗᡒ[π•œ] G) (f : E β†’ F) (x : E) (i : β„•),\n β€–iteratedFDeriv π•œ i (⇑g ∘ f) xβ€– = β€–iteratedFDeriv π•œ i f xβ€–","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] (g : F ≃ₗᡒ[π•œ] G) (f : E β†’ F) (x : E) (i : β„•),\n β€–iteratedFDeriv π•œ i (⇑g ∘ f) xβ€– = β€–iteratedFDeriv π•œ i f xβ€–","typeReferences":[["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["LinearIsometryEquiv","instEquivLike"],["Fin"],["DFunLike","coe"],["Fin","fintype"],["NontriviallyNormedField","toNormedField"],["Semiring","toNonAssocSemiring"],["NormedField","toField"],["NontriviallyNormedField"],["RingHom","id"],["NormedSpace"],["EquivLike","toFunLike"],["NormedAddCommGroup"],["LinearIsometryEquiv"],["Semifield","toDivisionSemiring"],["Eq"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["Real"],["Norm","norm"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["iteratedFDeriv"],["Function","comp"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["Nat"],["ContinuousMultilinearMap","hasOpNorm'"],["RingHomInvPair","ids"],["Field","toSemifield"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["ESeminormedAddCommMonoid","toAddCommMonoid"]],"valueReferences":[["SubtractionMonoid","toSubNegZeroMonoid"],["PseudoMetricSpace","toUniformSpace"],["AddCommGroup","toAddGroup"],["LinearIsometryEquiv","instEquivLike"],["uniqueDiffOn_univ"],["Fin"],["SMulZeroClass","toSMul"],["NormedAddCommGroup","toAddCommGroup"],["Set","mem_univ"],["NonUnitalNonAssocRing","toNonUnitalNonAssocSemiring"],["Semiring","toNonAssocSemiring"],["RingHom","id"],["NonUnitalNonAssocCommRing","toNonUnitalNonAssocRing"],["Eq","symm"],["IsBoundedSMul","continuousSMul"],["LinearIsometryEquiv"],["AddGroup","toSubNegMonoid"],["Semifield","toDivisionSemiring"],["NormedField","toNormedCommRing"],["DistribSMul","toSMulZeroClass"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["Real"],["Norm","norm"],["NonUnitalCommRing","toNonUnitalNonAssocCommRing"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["NonAssocSemiring","toNonUnitalNonAssocSemiring"],["DistribMulAction","toDistribSMul"],["iteratedFDeriv"],["DivisionSemiring","toSemiring"],["AddZeroClass","toAddZero"],["ContinuousMultilinearMap"],["SeminormedCommRing","toSeminormedRing"],["NormedField","nhdsNE_neBot"],["iteratedFDerivWithin"],["ContinuousMultilinearMap","hasOpNorm'"],["AddCommGroup","toAddCommMonoid"],["NegZeroClass","toZero"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["RingHomInvPair","ids"],["id"],["NonUnitalNormedCommRing","toNonUnitalCommRing"],["Eq","mpr"],["AddZero","toZero"],["AddMonoid","toAddZeroClass"],["UniformSpace","toTopologicalSpace"],["SubtractionCommMonoid","toSubtractionMonoid"],["SubNegZeroMonoid","toNegZeroClass"],["DFunLike","coe"],["Fin","fintype"],["LinearIsometryEquiv","norm_iteratedFDerivWithin_comp_left"],["NontriviallyNormedField","toNormedField"],["congrArg"],["SeminormedRing","toPseudoMetricSpace"],["NormedField","toField"],["MonoidWithZero","toMonoid"],["EquivLike","toFunLike"],["iteratedFDerivWithin_univ"],["Zero","toOfNat0"],["Eq"],["Semiring","toMonoidWithZero"],["Function","comp"],["OfNat","ofNat"],["Set","univ"],["Module","toDistribMulAction"],["SubNegMonoid","toAddMonoid"],["AddCommGroup","toDivisionAddCommMonoid"],["MulZeroClass","toZero"],["NonUnitalNonAssocSemiring","toMulZeroClass"],["Field","toSemifield"],["NormedCommRing","toSeminormedCommRing"],["NormedSpace","toIsBoundedSMul"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["NormedCommRing","toNonUnitalNormedCommRing"]]},{"isProp":true,"kind":"theorem","name":["ContDiff","comp_continuousLinearMap"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.23)] {n : WithTop.{0} ENat} {f : E -> F} {g : ContinuousLinearMap.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.12)}, (ContDiff.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.19 n f) -> (ContDiff.{u_1, u_4, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.6 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.26 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.19 n (Function.comp.{succ u_4, succ u_2, succ u_3} G E F f (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearMap.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ 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(NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.12)) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (ContinuousLinearMap.funLike.{u_1, u_1, u_4, u_2} π•œ 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160734._hygCtx._hyg.12)) g)))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {n : WithTop β„•βˆž} {f : E β†’ F} {g : G β†’L[π•œ] E},\n ContDiff π•œ n f β†’ ContDiff π•œ n (f ∘ ⇑g)","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {n : WithTop β„•βˆž} {f : E β†’ F} {g : G β†’L[π•œ] E},\n ContDiff π•œ n f β†’ ContDiff π•œ n (f ∘ ⇑g)","typeReferences":[["NormedSpace","toModule"],["PseudoMetricSpace","toUniformSpace"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["UniformSpace","toTopologicalSpace"],["ENat"],["WithTop"],["Function","comp"],["DivisionSemiring","toSemiring"],["DFunLike","coe"],["NormedAddCommGroup","toAddCommGroup"],["NontriviallyNormedField","toNormedField"],["ContinuousLinearMap"],["ContinuousLinearMap","funLike"],["Semiring","toNonAssocSemiring"],["NontriviallyNormedField"],["NormedField","toField"],["NormedSpace"],["RingHom","id"],["ContDiff"],["AddCommGroup","toAddCommMonoid"],["Field","toSemifield"],["NormedAddCommGroup"],["Semifield","toDivisionSemiring"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["Iff","mp"],["DFunLike","coe"],["NormedAddCommGroup","toAddCommGroup"],["NontriviallyNormedField","toNormedField"],["ContinuousLinearMap"],["contDiffOn_univ"],["Semiring","toNonAssocSemiring"],["NormedField","toField"],["RingHom","id"],["Semifield","toDivisionSemiring"],["NormedSpace","toModule"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["DivisionSemiring","toSemiring"],["Function","comp"],["ContDiffOn"],["ContinuousLinearMap","funLike"],["Set","univ"],["ContDiffOn","comp_continuousLinearMap"],["ContDiff"],["Iff","mpr"],["Field","toSemifield"],["AddCommGroup","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"]]},{"isProp":true,"kind":"theorem","name":["contDiff_of_subsingleton","_simp_1"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.969589614._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.969589614._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.969589614._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.969589614._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.969589614._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.969589614._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.969589614._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.969589614._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.969589614._hygCtx._hyg.16)] {f : E -> F} {n : WithTop.{0} ENat} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.969589614._hygCtx._hyg.59 : Subsingleton.{succ u_3} F], Eq.{1} Prop (ContDiff.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.969589614._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.969589614._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.969589614._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.969589614._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.969589614._hygCtx._hyg.19 n f) True","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F} {n : WithTop β„•βˆž}\n [Subsingleton F], ContDiff π•œ n f = True","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F} {n : WithTop β„•βˆž}\n [Subsingleton F], ContDiff π•œ n f = True","typeReferences":[["Subsingleton"],["NontriviallyNormedField"],["True"],["NormedSpace"],["ContDiff"],["ENat"],["WithTop"],["NormedAddCommGroup"],["Eq"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["NontriviallyNormedField","toNormedField"]],"valueReferences":[["ContDiff"],["contDiff_of_subsingleton"],["eq_true"]]},{"isProp":true,"kind":"theorem","name":["contDiffWithinAt_const"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2747787792._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2747787792._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2747787792._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2747787792._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2747787792._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2747787792._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2747787792._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2747787792._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2747787792._hygCtx._hyg.16)] {s : Set.{u_2} E} {x : E} {n : WithTop.{0} ENat} {c : F}, ContDiffWithinAt.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2747787792._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2747787792._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2747787792._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2747787792._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2747787792._hygCtx._hyg.19 n (fun (x._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2747787792._hygCtx._hyg.69 : E) => c) s x","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {s : Set E} {x : E}\n {n : WithTop β„•βˆž} {c : F}, ContDiffWithinAt π•œ n (fun x => c) s x","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {s : Set E} {x : E}\n {n : WithTop β„•βˆž} {c : F}, ContDiffWithinAt π•œ n (fun x => c) s x","typeReferences":[["NontriviallyNormedField"],["Set"],["NormedSpace"],["ContDiffWithinAt"],["ENat"],["WithTop"],["NormedAddCommGroup"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["NontriviallyNormedField","toNormedField"]],"valueReferences":[["contDiffAt_const"],["ContDiffAt","contDiffWithinAt"]]},{"isProp":true,"kind":"theorem","name":["ContinuousLinearEquiv","contDiffAt_comp_iff"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ 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(Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.12)), Iff (ContDiffAt.{u_1, u_4, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6 G 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(NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6)))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.12)) G E (ContinuousLinearEquiv.equivLike.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6)))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.12))) e)) (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_2, succ u_4} (ContinuousLinearEquiv.{u_1, u_1, u_2, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6)))))) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.9)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.26)) E (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : E) => G) (EquivLike.toFunLike.{max (succ u_2) (succ u_4), succ u_2, succ u_4} (ContinuousLinearEquiv.{u_1, u_1, u_2, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6)))))) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.9)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.26)) E G (ContinuousLinearEquiv.equivLike.{u_1, u_1, u_2, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6)))))) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.9)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.26))) (ContinuousLinearEquiv.symm.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.6)))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4114568752._hygCtx._hyg.19 n f x)","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {f : E β†’ F} {x : E} {n : WithTop β„•βˆž} (e : G ≃L[π•œ] E),\n ContDiffAt π•œ n (f ∘ ⇑e) (e.symm x) ↔ ContDiffAt π•œ n f x","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {f : E β†’ F} {x : E} {n : WithTop β„•βˆž} (e : G ≃L[π•œ] E),\n ContDiffAt π•œ n (f ∘ ⇑e) (e.symm x) ↔ ContDiffAt π•œ n f x","typeReferences":[["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["ENat"],["WithTop"],["NormedAddCommGroup","toAddCommGroup"],["DFunLike","coe"],["ContinuousLinearEquiv","symm"],["NontriviallyNormedField","toNormedField"],["NormedField","toField"],["NontriviallyNormedField"],["Semiring","toNonAssocSemiring"],["RingHom","id"],["NormedSpace"],["EquivLike","toFunLike"],["NormedAddCommGroup"],["Semifield","toDivisionSemiring"],["NormedSpace","toModule"],["ContinuousLinearEquiv","equivLike"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["ContDiffAt"],["DivisionSemiring","toSemiring"],["Function","comp"],["ContinuousLinearEquiv"],["Iff"],["Field","toSemifield"],["RingHomInvPair","ids"],["AddCommGroup","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["ContinuousLinearEquiv","contDiffWithinAt_comp_iff"],["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["ContDiffWithinAt"],["Set","preimage_univ"],["DFunLike","coe"],["NormedAddCommGroup","toAddCommGroup"],["ContinuousLinearEquiv","symm"],["congrArg"],["NontriviallyNormedField","toNormedField"],["Semiring","toNonAssocSemiring"],["NormedField","toField"],["RingHom","id"],["EquivLike","toFunLike"],["Eq","symm"],["contDiffWithinAt_univ"],["Semifield","toDivisionSemiring"],["Eq"],["propext"],["Set","preimage"],["NormedSpace","toModule"],["Set"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["ContinuousLinearEquiv","equivLike"],["ContDiffAt"],["DivisionSemiring","toSemiring"],["Function","comp"],["Set","univ"],["ContinuousLinearEquiv"],["Iff"],["id"],["Field","toSemifield"],["RingHomInvPair","ids"],["AddCommGroup","toAddCommMonoid"],["Eq","mpr"],["NormedAddCommGroup","toSeminormedAddCommGroup"]]},{"isProp":true,"kind":"theorem","name":["ftaylorSeries","eq_1"],"typeFallback":"forall (π•œ : Type.{u}) [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.3 : NontriviallyNormedField.{u} π•œ] {E : Type.{uE}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.7 : NormedAddCommGroup.{uE} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.10 : NormedSpace.{u, uE} π•œ E (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.3) (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.7)] {F : Type.{uF}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.15 : NormedAddCommGroup.{uF} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.18 : NormedSpace.{u, uF} π•œ F (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.3) (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.15)] (f : E -> F) (x : E) (n : Nat), Eq.{max (succ uE) (succ uF)} (ContinuousMultilinearMap.{u, 0, uE, uF} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries.4193387797._hygCtx._hyg.128 : Fin n) => E) F (DivisionSemiring.toSemiring.{u} π•œ (Semifield.toDivisionSemiring.{u} π•œ (Field.toSemifield.{u} π•œ (NormedField.toField.{u} π•œ (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.3))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{uE} E (UniformSpace.toTopologicalSpace.{uE} E (PseudoMetricSpace.toUniformSpace.{uE} E (SeminormedAddCommGroup.toPseudoMetricSpace.{uE} E (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E 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(PseudoMetricSpace.toUniformSpace.{uF} F (SeminormedAddCommGroup.toPseudoMetricSpace.{uF} F (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.15)))) (NormedAddCommGroup.toENormedAddCommMonoid.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.15))) (fun (i : Fin n) => NormedSpace.toModule.{u, uE} π•œ E (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.3) (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.7) inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.10) (NormedSpace.toModule.{u, uF} π•œ F (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.3) (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.15) inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.18) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{uE} E (PseudoMetricSpace.toUniformSpace.{uE} E (SeminormedAddCommGroup.toPseudoMetricSpace.{uE} E (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.7)))) (UniformSpace.toTopologicalSpace.{uF} F (PseudoMetricSpace.toUniformSpace.{uF} F (SeminormedAddCommGroup.toPseudoMetricSpace.{uF} F (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.15))))) (ftaylorSeries.{u, uE, uF} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.3 E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.7 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.10 F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.15 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.18 f x n) (iteratedFDeriv.{u, uE, uF} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.3 E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.7 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.10 F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.15 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1677654283._hygCtx._hyg.18 n f x)","typeFull":"βˆ€ (π•œ : Type u) [inst : NontriviallyNormedField π•œ] {E : Type uE} [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {F : Type uF} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] (f : E β†’ F)\n (x : E) (n : β„•), ftaylorSeries π•œ f x n = iteratedFDeriv π•œ n f x","typeReadable":"βˆ€ (π•œ : Type u) [inst : NontriviallyNormedField π•œ] {E : Type uE} [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {F : Type uF} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] (f : E β†’ F)\n (x : E) (n : β„•), ftaylorSeries π•œ f x n = iteratedFDeriv π•œ n f 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{π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.23)] {f : E -> F} {x : E} {n : WithTop.{0} ENat} (g : ContinuousLinearMap.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.6))))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.26)), (ContDiffAt.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.19 n f x) -> (ContDiffAt.{u_1, u_2, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217856._hygCtx._hyg.12 G 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{E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {f : E β†’ F} {x : E} {n : WithTop β„•βˆž} (g : F β†’L[π•œ] G),\n ContDiffAt π•œ n f x β†’ ContDiffAt π•œ n (⇑g ∘ f) 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Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.6) 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.19 n._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.111 f s x) -> (ContDiffWithinAt.{u_1, u_2, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.12 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.26 n._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.111 g s x) -> Prop) (n._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.111 : WithTop.{0} ENat) (hf : ContDiffWithinAt.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.19 n._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.111 f s x) (hg : ContDiffWithinAt.{u_1, u_2, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.12 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.26 n._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.111 g s x), (forall (hf : ContDiffWithinAt.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.19 (Top.top.{0} (WithTop.{0} ENat) (WithTop.top.{0} ENat)) f s x) (hg : ContDiffWithinAt.{u_1, u_2, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.12 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271481._hygCtx._hyg.26 (Top.top.{0} (WithTop.{0} ENat) (WithTop.top.{0} ENat)) g s x), motive (Option.none.{0} 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NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {x : E} {s : Set E} {f : E β†’ F} {g : E β†’ G}\n (motive : (n : WithTop β„•βˆž) β†’ ContDiffWithinAt π•œ n f s x β†’ ContDiffWithinAt π•œ n g s x β†’ Prop) (n : WithTop β„•βˆž)\n (hf : ContDiffWithinAt π•œ n f s x) (hg : ContDiffWithinAt π•œ n g s x),\n (βˆ€ (hf : ContDiffWithinAt π•œ ⊀ f s x) (hg : ContDiffWithinAt π•œ ⊀ g s x), motive none hf hg) β†’\n (βˆ€ (n : β„•βˆž) (hf : ContDiffWithinAt π•œ (↑n) f s x) (hg : ContDiffWithinAt π•œ (↑n) g s x), motive (some n) hf hg) β†’\n motive n hf hg","typeReferences":[["Set"],["ContDiffWithinAt"],["ENat"],["WithTop"],["WithTop","some"],["Option","some"],["NontriviallyNormedField","toNormedField"],["NontriviallyNormedField"],["Option","none"],["WithTop","top"],["NormedSpace"],["Top","top"],["NormedAddCommGroup"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["Option","casesOn"],["ContDiffWithinAt"],["ENat"]]},{"isProp":true,"kind":"theorem","name":["iteratedFDeriv_const_of_ne"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16)] {n : Nat}, (Ne.{1} Nat n (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) -> (forall (c : F), Eq.{max (succ u_2) (succ u_3)} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin n) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16))) (fun (i : Fin n) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.19) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16)))))) (iteratedFDeriv.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.19 n (fun (x._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.78 : E) => c)) (OfNat.ofNat.{max u_2 u_3} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin n) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16))) (fun (i : Fin n) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.19) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16)))))) 0 (Zero.toOfNat0.{max u_2 u_3} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin n) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16))) (fun (i : Fin n) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.19) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16)))))) (Pi.instZero.{u_2, max u_2 u_3} E (fun (a._@._internal._hyg.0 : E) => ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin n) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16))) (fun (i : Fin n) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.19) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16))))) (fun (i : E) => ContinuousMultilinearMap.instZero.{u_1, 0, u_2, u_3} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin n) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16))) (fun (i : Fin n) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.19) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3602191422._hygCtx._hyg.16)))))))))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {n : β„•},\n n β‰  0 β†’ βˆ€ (c : F), (iteratedFDeriv π•œ n fun x => c) = 0","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {n : β„•},\n n β‰  0 β†’ βˆ€ (c : F), (iteratedFDeriv π•œ n fun x => c) = 0","typeReferences":[["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["Fin"],["NontriviallyNormedField","toNormedField"],["NontriviallyNormedField"],["NormedField","toField"],["instOfNatNat"],["NormedSpace"],["NormedAddCommGroup"],["Zero","toOfNat0"],["Semifield","toDivisionSemiring"],["Eq"],["ContinuousMultilinearMap","instZero"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["iteratedFDeriv"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["OfNat","ofNat"],["Nat"],["Field","toSemifield"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["Ne"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["Pi","instZero"]],"valueReferences":[["iteratedFDerivWithin_const_of_ne"],["PseudoMetricSpace","toUniformSpace"],["Eq","trans"],["_private","Mathlib","Analysis","Calculus","ContDiff","Basic",0,"iteratedFDeriv_const_of_ne","_simp_1_1"],["UniformSpace","toTopologicalSpace"],["Fin"],["congrArg"],["NontriviallyNormedField","toNormedField"],["NormedField","toField"],["Zero","toOfNat0"],["congrFun'"],["Semifield","toDivisionSemiring"],["Eq"],["ContinuousMultilinearMap","instZero"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["True"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["iteratedFDeriv"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["OfNat","ofNat"],["Set","univ"],["eq_self"],["of_eq_true"],["iteratedFDerivWithin"],["Field","toSemifield"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["Pi","instZero"]]},{"isProp":true,"kind":"theorem","name":["HasFTaylorSeriesUpToOn","compContinuousLinearMap"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.23)] {s : Set.{u_2} E} {f : E -> F} {n : WithTop.{0} ENat} {p : E -> (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.12))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16)))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16)))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16)))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16)))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.19))))}, (HasFTaylorSeriesUpToOn.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.19 n f p s) -> (forall (g : ContinuousLinearMap.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.12)), HasFTaylorSeriesUpToOn.{u_1, u_4, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.26 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.19 n (Function.comp.{succ u_4, succ u_2, succ u_3} G E F f (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearMap.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.12)) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (ContinuousLinearMap.funLike.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.12)) g)) (fun (x : G) (k : Nat) => ContinuousMultilinearMap.compContinuousLinearMap.{u_1, 0, u_4, u_2, u_3} π•œ (Fin k) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries.4193387797._hygCtx._hyg.128 : Fin k) => G) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries.4193387797._hygCtx._hyg.128 : Fin k) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))) (fun (i : Fin k) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.23)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.23)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.23))) (fun (i : Fin k) => AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16)) (fun (i : Fin k) => NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.26) (fun (i : Fin k) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.19) (fun (i : Fin k) => UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.23)))) (fun (i : Fin k) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.16)))) (p (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearMap.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.12)) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (ContinuousLinearMap.funLike.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.12)) g x) k) (fun (x._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.101 : Fin k) => g)) (Set.preimage.{u_4, u_2} G E (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearMap.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.12)) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (ContinuousLinearMap.funLike.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ 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(UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.564034661._hygCtx._hyg.12)) g) s))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {f : E β†’ F} {n : WithTop β„•βˆž}\n {p : E β†’ FormalMultilinearSeries π•œ E F},\n HasFTaylorSeriesUpToOn n f p s β†’\n βˆ€ (g : G β†’L[π•œ] E),\n HasFTaylorSeriesUpToOn n (f ∘ ⇑g) (fun x k => (p (g x) k).compContinuousLinearMap fun x => g) (⇑g ⁻¹' s)","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {f : E β†’ F} {n : WithTop β„•βˆž}\n {p : E β†’ FormalMultilinearSeries π•œ E F},\n HasFTaylorSeriesUpToOn n f p s β†’\n βˆ€ (g : G β†’L[π•œ] E),\n HasFTaylorSeriesUpToOn n (f ∘ ⇑g) (fun x k => (p (g x) k).compContinuousLinearMap fun x => g) (⇑g ⁻¹' 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{π•œ : Type.{u_1}} {E : Type.{u_2}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1849402830._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1849402830._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1849402830._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1849402830._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1849402830._hygCtx._hyg.9)] {n : WithTop.{0} ENat} {s : Set.{u_2} E}, ContDiffOn.{u_1, u_2, u_2} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1849402830._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1849402830._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1849402830._hygCtx._hyg.12 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1849402830._hygCtx._hyg.9 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[inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F 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(Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ 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(PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.12)) (f : E -> F), (UniqueDiffOn.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)))) s) -> (forall {x : G}, (Membership.mem.{u_2, u_2} E (Set.{u_2} E) (Set.instMembership.{u_2} E) s (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.12)) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (EquivLike.toFunLike.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.12)) G E (ContinuousLinearEquiv.equivLike.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.12))) g x)) -> (forall (i : Nat), Eq.{max (succ u_3) (succ u_4)} (ContinuousMultilinearMap.{u_1, 0, u_4, u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => G) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.16))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.16))))) (iteratedFDerivWithin.{u_1, u_4, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.26 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.19 i (Function.comp.{succ u_4, succ u_2, succ u_3} G E F f (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.12)) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (EquivLike.toFunLike.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.12)) G E (ContinuousLinearEquiv.equivLike.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.12))) g)) (Set.preimage.{u_4, u_2} G E (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.12)) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (EquivLike.toFunLike.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.12)) G E (ContinuousLinearEquiv.equivLike.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.12))) g) s) x) (ContinuousMultilinearMap.compContinuousLinearMap.{u_1, 0, u_4, u_2, u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => G) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.16))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.26) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)))) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.16)))) (iteratedFDerivWithin.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.19 i f s (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.12)) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (EquivLike.toFunLike.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.12)) G E (ContinuousLinearEquiv.equivLike.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.12))) g x)) (fun (x._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.123 : Fin i) => ContinuousLinearEquiv.toContinuousLinearMap.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6)))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1545094386._hygCtx._hyg.12) g))))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} (g : G ≃L[π•œ] E) (f : E β†’ F),\n UniqueDiffOn π•œ s β†’\n βˆ€ {x : G},\n g x ∈ s β†’\n βˆ€ (i : β„•),\n iteratedFDerivWithin π•œ i (f ∘ ⇑g) (⇑g ⁻¹' s) x =\n (iteratedFDerivWithin π•œ i f s (g x)).compContinuousLinearMap fun x => ↑g","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} (g : G ≃L[π•œ] E) (f : E β†’ F),\n UniqueDiffOn π•œ s β†’\n βˆ€ {x : G},\n g x ∈ s β†’\n βˆ€ (i : β„•),\n iteratedFDerivWithin π•œ i (f ∘ ⇑g) (⇑g ⁻¹' s) x =\n (iteratedFDerivWithin π•œ i f s (g x)).compContinuousLinearMap fun x => 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medCommRing"],["ContinuousMultilinearMap","funLike"]]},{"isProp":true,"kind":"theorem","name":["contDiff_id"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2070297073._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2070297073._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2070297073._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2070297073._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2070297073._hygCtx._hyg.9)] {n : WithTop.{0} ENat}, ContDiff.{u_1, u_2, u_2} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2070297073._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2070297073._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2070297073._hygCtx._hyg.12 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2070297073._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2070297073._hygCtx._hyg.12 n (id.{succ u_2} E)","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace οΏ½οΏ½ E] {n : WithTop β„•βˆž}, ContDiff π•œ n id","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {n : WithTop β„•βˆž}, ContDiff π•œ n 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[inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.16)] {s : Set.{u_2} E} {t : Set.{u_2} E} {f : E -> F} {n : WithTop.{0} ENat} (motive : (And (ContDiffOn.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.19 n f s) (ContDiffOn.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.19 n f t)) -> Prop) (x._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx.103.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.111 : And (ContDiffOn.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.19 n f s) (ContDiffOn.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.19 n f t)), (forall (hfs : ContDiffOn.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.19 n f s) (hft : ContDiffOn.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.19 n f t), motive (And.intro (ContDiffOn.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.19 n f s) (ContDiffOn.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.19 n f t) hfs hft)) -> (motive x._@.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx.103.Mathlib.Analysis.Calculus.ContDiff.Basic.303739881._hygCtx._hyg.111)","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {s t : Set E} {f : E β†’ F}\n {n : WithTop β„•βˆž} (motive : ContDiffOn π•œ n f s ∧ ContDiffOn π•œ n f t β†’ Prop)\n (x : ContDiffOn π•œ n f s ∧ ContDiffOn π•œ n f t),\n (βˆ€ (hfs : ContDiffOn π•œ n f s) (hft : ContDiffOn π•œ n f t), motive β‹―) β†’ motive x","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {s t : Set E} {f : E β†’ F}\n {n : WithTop β„•βˆž} (motive : ContDiffOn π•œ n f s ∧ ContDiffOn π•œ n f t β†’ Prop)\n (x : ContDiffOn π•œ n f s ∧ ContDiffOn π•œ n f t),\n (βˆ€ (hfs : ContDiffOn π•œ n f s) (hft : ContDiffOn π•œ n f t), motive β‹―) β†’ motive x","typeReferences":[["And","intro"],["NontriviallyNormedField"],["Set"],["NormedSpace"],["And"],["ENat"],["WithTop"],["NormedAddCommGroup"],["ContDiffOn"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["NontriviallyNormedField","toNormedField"]],"valueReferences":[["ContDiffOn"],["And","casesOn"]]},{"isProp":true,"kind":"theorem","name":["iteratedFDerivWithin_succ_const"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.16)] {s : Set.{u_2} E} (n : Nat) (c : F), Eq.{max (succ u_2) (succ u_3)} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.6))))) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.16))) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.19) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.16)))))) (iteratedFDerivWithin.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.19 (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (fun (x._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.81 : E) => c) s) (OfNat.ofNat.{max u_2 u_3} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.6))))) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.16))) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.19) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.16)))))) 0 (Zero.toOfNat0.{max u_2 u_3} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.6))))) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.16))) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.19) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.16)))))) (Pi.instZero.{u_2, max u_2 u_3} E (fun (a._@._internal._hyg.0 : E) => ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.6))))) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.16))) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.19) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.16))))) (fun (i : E) => ContinuousMultilinearMap.instZero.{u_1, 0, u_2, u_3} π•œ (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.6))))) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.19) (fun (i : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3604324625._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3097346037._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3097346037._hygCtx._hyg.12 n (fun (x : E) => x) s x","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {n : WithTop β„•βˆž} {s : Set E} {x : E}, ContDiffWithinAt π•œ n (fun x => x) s x","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {n : WithTop β„•βˆž} {s : Set E} {x : E}, ContDiffWithinAt π•œ n (fun x => x) s 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x","typeReferences":[["NontriviallyNormedField"],["NormedSpace"],["ENat"],["WithTop"],["NormedAddCommGroup"],["ContDiffAt"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["NontriviallyNormedField","toNormedField"]],"valueReferences":[["id"],["ContDiff","contDiffAt"],["contDiff_id"]]},{"isProp":true,"kind":"theorem","name":["contDiff_const"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2945466897._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2945466897._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2945466897._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2945466897._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E 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(x._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2945466897._hygCtx._hyg.67 : E) => c)","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {n : WithTop β„•βˆž} {c : F},\n ContDiff π•œ n fun x => c","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {n : WithTop β„•βˆž} {c : F},\n ContDiff π•œ n fun x => c","typeReferences":[["NontriviallyNormedField"],["NormedSpace"],["ContDiff"],["ENat"],["WithTop"],["NormedAddCommGroup"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["NontriviallyNormedField","toNormedField"]],"valueReferences":[["Set","univ"],["AnalyticOnNhd","contDiff"],["analyticOnNhd_const"]]},{"isProp":true,"kind":"theorem","name":["LinearIsometry","norm_iteratedFDerivWithin_comp_left"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.23)] {s : Set.{u_2} E} {x : E} {n : WithTop.{0} ENat} {f : E -> F} (g : LinearIsometry.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6))))))) F G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.16) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.23) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.26)), (ContDiffWithinAt.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.19 n f s x) -> (UniqueDiffOn.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6))))) (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.9)))) s) -> (Membership.mem.{u_2, u_2} E (Set.{u_2} E) (Set.instMembership.{u_2} E) s x) -> (forall {i : Nat}, (LE.le.{0} (WithTop.{0} ENat) (Preorder.toLE.{0} (WithTop.{0} ENat) (WithTop.instPreorder.{0} ENat instPreorderENat)) (Nat.cast.{0} (WithTop.{0} ENat) (WithTop.natCast.{0} ENat ENat.instNatCast) i) n) -> (Eq.{1} Real (Norm.norm.{max u_4 u_2} (ContinuousMultilinearMap.{u_1, 0, u_2, u_4} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => E) G (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.23)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.23)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.23))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.26) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.23))))) (ContinuousMultilinearMap.hasOpNorm'.{u_1, 0, u_2, u_4} π•œ (Fin i) E G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6 (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.12 (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.26 (Fin.fintype i)) (iteratedFDerivWithin.{u_1, u_2, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.12 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.26 i (Function.comp.{succ u_2, succ u_3, succ u_4} E F G (DFunLike.coe.{max (succ u_3) (succ u_4), succ u_3, succ u_4} (LinearIsometry.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6))))))) F G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.16) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.23) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.26)) F (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : F) => G) (LinearIsometry.instFunLike.{u_1, u_1, u_3, u_4} π•œ π•œ F G (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.16) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.23) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.26)) g) f) s x)) (Norm.norm.{max u_3 u_2} (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.16))))) (ContinuousMultilinearMap.hasOpNorm'.{u_1, 0, u_2, u_3} π•œ (Fin i) E F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6 (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.12 (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.19 (Fin.fintype i)) (iteratedFDerivWithin.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.750567550._hygCtx._hyg.19 i f s x))))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {x : E} {n : WithTop β„•βˆž} {f : E β†’ F}\n (g : F β†’β‚—α΅’[π•œ] G),\n ContDiffWithinAt π•œ n f s x β†’\n UniqueDiffOn π•œ s β†’\n x ∈ s β†’ βˆ€ {i : β„•}, ↑i ≀ n β†’ β€–iteratedFDerivWithin π•œ i (⇑g ∘ f) s xβ€– = β€–iteratedFDerivWithin π•œ i f s xβ€–","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {x : E} {n : WithTop β„•βˆž} {f : E β†’ F}\n (g : F β†’β‚—α΅’[π•œ] G),\n ContDiffWithinAt π•œ n f s x β†’\n UniqueDiffOn π•œ s β†’\n x ∈ s β†’ βˆ€ {i : β„•}, ↑i ≀ n β†’ β€–iteratedFDerivWithin π•œ i (⇑g ∘ f) s xβ€– = β€–iteratedFDerivWithin π•œ i f s xβ€–","typeReferences":[["Nat","cast"],["PseudoMetricSpace","toUniformSpace"],["ContDiffWithinAt"],["UniformSpace","toTopologicalSpace"],["Membership","mem"],["ENat"],["Fin"],["WithTop","natCast"],["WithTop"],["DFunLike","coe"],["Fin","fintype"],["NormedAddCommGroup","toAddCommGroup"],["NontriviallyNormedField","toNormedField"],["NormedField","toField"],["NontriviallyNormedField"],["Semiring","toNonAssocSemiring"],["NormedSpace"],["RingHom","id"],["NormedAddCommGroup"],["Semifield","toDivisionSemiring"],["Eq"],["Preorder","toLE"],["NormedAddCommGroup","toENormedAddCommMonoid"],["ENat","instNatCast"],["NormedSpace","toModule"],["Norm","norm"],["Real"],["Set"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["Function","comp"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["UniqueDiffOn"],["Set","instMembership"],["Nat"],["WithTop","instPreorder"],["iteratedFDerivWithin"],["ContinuousMultilinearMap","hasOpNorm'"],["instPreorderENat"],["LE","le"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["Field","toSemifield"],["LinearIsometry"],["LinearIsometry","instFunLike"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["Fin"],["DFunLike","coe"],["Fin","fintype"],["congrArg"],["NontriviallyNormedField","toNormedField"],["LinearIsometry","norm_compContinuousMultilinearMap"],["Semiring","toNonAssocSemiring"],["NormedField","toField"],["RingHom","id"],["Semifield","toDivisionSemiring"],["Eq"],["LinearIsometry","toContinuousLinearMap"],["NormedAddCommGroup","toENormedAddCommMonoid"],["SeminormedAddCommGroup","toAddCommGroup"],["NormedSpace","toModule"],["Real"],["Norm","norm"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["ContinuousLinearMap","iteratedFDerivWithin_comp_left"],["Function","comp"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["iteratedFDerivWithin"],["ContinuousMultilinearMap","hasOpNorm'"],["ContinuousLinearMap","compContinuousMultilinearMap"],["id"],["AddCommGroup","toAddCommMonoid"],["Field","toSemifield"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["Eq","mpr"],["LinearIsometry"],["LinearIsometry","instFunLike"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["ESeminormedAddCommMonoid","toAddCommMonoid"]]},{"isProp":true,"kind":"theorem","name":["ContinuousLinearEquiv","comp_contDiffOn_iff"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.23)] {s : Set.{u_2} E} {f : E -> F} {n : WithTop.{0} ENat} (e : ContinuousLinearEquiv.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6)))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.26)), Iff (ContDiffOn.{u_1, u_2, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.12 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.26 n (Function.comp.{succ u_2, succ u_3, succ u_4} E F G (DFunLike.coe.{max (succ u_3) (succ u_4), succ u_3, succ u_4} (ContinuousLinearEquiv.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.26)) F (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : F) => G) (EquivLike.toFunLike.{max (succ u_3) (succ u_4), succ u_3, succ u_4} (ContinuousLinearEquiv.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6)))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.26)) F G (ContinuousLinearEquiv.equivLike.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ 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(NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.26))) e) f) s) (ContDiffOn.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1350645343._hygCtx._hyg.19 n f s)","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {f : E β†’ F} {n : WithTop β„•βˆž} (e : F ≃L[π•œ] G),\n ContDiffOn π•œ n (⇑e ∘ f) s ↔ ContDiffOn π•œ n f s","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {f : E β†’ F} {n : WithTop β„•βˆž} (e : F ≃L[π•œ] G),\n ContDiffOn π•œ n (⇑e ∘ f) s ↔ ContDiffOn π•œ n f s","typeReferences":[["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["ENat"],["WithTop"],["DFunLike","coe"],["NormedAddCommGroup","toAddCommGroup"],["NontriviallyNormedField","toNormedField"],["NormedField","toField"],["NontriviallyNormedField"],["Semiring","toNonAssocSemiring"],["NormedSpace"],["RingHom","id"],["EquivLike","toFunLike"],["NormedAddCommGroup"],["Semifield","toDivisionSemiring"],["NormedSpace","toModule"],["Set"],["ContinuousLinearEquiv","equivLike"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["DivisionSemiring","toSemiring"],["Function","comp"],["ContDiffOn"],["ContinuousLinearEquiv"],["Iff"],["Field","toSemifield"],["RingHomInvPair","ids"],["AddCommGroup","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["implies_congr"],["Eq","trans"],["PseudoMetricSpace","toUniformSpace"],["ContDiffWithinAt"],["UniformSpace","toTopologicalSpace"],["Membership","mem"],["ContinuousLinearEquiv","comp_contDiffWithinAt_iff"],["DFunLike","coe"],["NormedAddCommGroup","toAddCommGroup"],["congrArg"],["NontriviallyNormedField","toNormedField"],["Semiring","toNonAssocSemiring"],["NormedField","toField"],["iff_self"],["RingHom","id"],["forall_congr"],["EquivLike","toFunLike"],["congrFun'"],["Semifield","toDivisionSemiring"],["propext"],["NormedSpace","toModule"],["True"],["Set"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["ContinuousLinearEquiv","equivLike"],["DivisionSemiring","toSemiring"],["Function","comp"],["ContDiffOn"],["Set","instMembership"],["ContinuousLinearEquiv"],["of_eq_true"],["Eq","refl"],["Iff"],["Field","toSemifield"],["RingHomInvPair","ids"],["AddCommGroup","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"]]},{"isProp":true,"kind":"theorem","name":["LinearIsometry","norm_iteratedFDeriv_comp_left"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.23)] {x : E} {n : WithTop.{0} ENat} {f : E -> F} (g : LinearIsometry.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6))))))) F G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.16) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.23) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.26)), (ContDiffAt.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.19 n f x) -> (forall {i : Nat}, (LE.le.{0} (WithTop.{0} ENat) (Preorder.toLE.{0} (WithTop.{0} ENat) (WithTop.instPreorder.{0} ENat instPreorderENat)) (Nat.cast.{0} (WithTop.{0} ENat) (WithTop.natCast.{0} ENat ENat.instNatCast) i) n) -> (Eq.{1} Real (Norm.norm.{max u_4 u_2} (ContinuousMultilinearMap.{u_1, 0, u_2, u_4} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin i) => E) G (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.23)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.23)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.23))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.26) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.23))))) (ContinuousMultilinearMap.hasOpNorm'.{u_1, 0, u_2, u_4} π•œ (Fin i) E G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6 (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.12 (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.26 (Fin.fintype i)) (iteratedFDeriv.{u_1, u_2, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.12 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.26 i (Function.comp.{succ u_2, succ u_3, succ u_4} E F G (DFunLike.coe.{max (succ u_3) (succ u_4), succ u_3, succ u_4} (LinearIsometry.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6))))))) F G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.16) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.23) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.26)) F (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : F) => G) (LinearIsometry.instFunLike.{u_1, u_1, u_3, u_4} π•œ π•œ F G (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6))))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.16) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.23) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.26)) g) f) x)) (Norm.norm.{max u_3 u_2} (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin i) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.16))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.16))))) (ContinuousMultilinearMap.hasOpNorm'.{u_1, 0, u_2, u_3} π•œ (Fin i) E F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6 (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.12 (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.19 (Fin.fintype i)) (iteratedFDeriv.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3039372171._hygCtx._hyg.19 i f x))))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {x : E} {n : WithTop β„•βˆž} {f : E β†’ F} (g : F β†’β‚—α΅’[π•œ] G),\n ContDiffAt π•œ n f x β†’ βˆ€ {i : β„•}, ↑i ≀ n β†’ β€–iteratedFDeriv π•œ i (⇑g ∘ f) xβ€– = β€–iteratedFDeriv π•œ i f xβ€–","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.12)), Iff (ContDiffOn.{u_1, u_4, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.26 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.19 n (Function.comp.{succ u_4, succ u_2, succ u_3} G E F f (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6)))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.12)) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (EquivLike.toFunLike.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ 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(PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.12)) G E (ContinuousLinearEquiv.equivLike.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6)))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.12))) e)) (Set.preimage.{u_4, u_2} G E (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ 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(NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.12)) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (EquivLike.toFunLike.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6)))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.12)) G E (ContinuousLinearEquiv.equivLike.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1866594443._hygCtx._hyg.19 n f s)","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {f : E β†’ F} {n : WithTop β„•βˆž} (e : G ≃L[π•œ] E),\n ContDiffOn π•œ n (f ∘ ⇑e) (⇑e ⁻¹' s) ↔ ContDiffOn π•œ n f s","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {f : E β†’ F} {n : WithTop β„•βˆž} (e : G ≃L[π•œ] E),\n ContDiffOn π•œ n (f ∘ ⇑e) (⇑e ⁻¹' s) ↔ ContDiffOn π•œ n f 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{π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)] {s : Set.{u_2} E} {f : E -> F} {x : G} (g : ContinuousLinearMap.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.12)) (motive : forall (n._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.112 : WithTop.{0} ENat), (ContDiffWithinAt.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.19 n._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.112 f s (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearMap.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.12)) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (ContinuousLinearMap.funLike.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.12)) g x)) -> Prop) (n._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.112 : WithTop.{0} ENat) (hf : ContDiffWithinAt.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.19 n._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.112 f s (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearMap.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.12)) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (ContinuousLinearMap.funLike.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.12)) g x)), (forall (hf : ContDiffWithinAt.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.19 (Top.top.{0} (WithTop.{0} ENat) (WithTop.top.{0} ENat)) f s (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearMap.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.12)) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (ContinuousLinearMap.funLike.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.12)) g x)), motive (Option.none.{0} ENat) hf) -> (forall (n : ENat) (hf : ContDiffWithinAt.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.19 (WithTop.some.{0} ENat n) f s (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearMap.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.12)) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (ContinuousLinearMap.funLike.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.12)) g x)), motive (Option.some.{0} ENat n) hf) -> (motive n._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160732._hygCtx._hyg.112 hf)","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {f : E β†’ F} {x : G} (g : G β†’L[π•œ] E)\n (motive : (n : WithTop β„•βˆž) β†’ ContDiffWithinAt π•œ n f s (g x) β†’ Prop) (n : WithTop β„•βˆž)\n (hf : ContDiffWithinAt π•œ n f s (g x)),\n (βˆ€ (hf : ContDiffWithinAt π•œ ⊀ f s (g x)), motive none hf) β†’\n (βˆ€ (n : β„•βˆž) (hf : ContDiffWithinAt π•œ (↑n) f s (g x)), motive (some n) hf) β†’ motive n hf","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {f : E β†’ F} {x : G} (g : G β†’L[π•œ] E)\n (motive : (n : WithTop β„•βˆž) β†’ ContDiffWithinAt π•œ n f s (g x) β†’ Prop) (n : WithTop β„•βˆž)\n (hf : ContDiffWithinAt π•œ n f s (g x)),\n (βˆ€ (hf : ContDiffWithinAt π•œ ⊀ f s (g x)), motive none hf) β†’\n (βˆ€ (n : β„•βˆž) (hf : ContDiffWithinAt π•œ (↑n) f s (g x)), motive (some n) hf) β†’ motive n hf","typeReferences":[["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["ContDiffWithinAt"],["ENat"],["WithTop","some"],["WithTop"],["Option","some"],["NormedAddCommGroup","toAddCommGroup"],["DFunLike","coe"],["ContinuousLinearMap"],["NontriviallyNormedField","toNormedField"],["Semiring","toNonAssocSemiring"],["NormedField","toField"],["NontriviallyNormedField"],["WithTop","top"],["RingHom","id"],["NormedSpace"],["NormedAddCommGroup"],["Semifield","toDivisionSemiring"],["NormedSpace","toModule"],["Set"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["DivisionSemiring","toSemiring"],["ContinuousLinearMap","funLike"],["Option","none"],["Field","toSemifield"],["AddCommGroup","toAddCommMonoid"],["Top","top"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["NormedSpace","toModule"],["PseudoMetricSpace","toUniformSpace"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["ContDiffWithinAt"],["UniformSpace","toTopologicalSpace"],["ENat"],["DivisionSemiring","toSemiring"],["NormedAddCommGroup","toAddCommGroup"],["DFunLike","coe"],["ContinuousLinearMap"],["NontriviallyNormedField","toNormedField"],["ContinuousLinearMap","funLike"],["Option","casesOn"],["NormedField","toField"],["Semiring","toNonAssocSemiring"],["RingHom","id"],["AddCommGroup","toAddCommMonoid"],["Field","toSemifield"],["Semifield","toDivisionSemiring"],["NormedAddCommGroup","toSeminormedAddCommGroup"]]},{"isProp":true,"kind":"theorem","name":["HasFTaylorSeriesUpToOn","prodMk"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23)] {s : Set.{u_2} E} {f : E -> F} {p : E -> (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.12))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16)))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16)))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16)))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16)))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.19))))} {n : WithTop.{0} ENat}, (HasFTaylorSeriesUpToOn.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.19 n f p s) -> (forall {g : E -> G} {q : E -> (FormalMultilinearSeries.{u_1, u_2, u_4} π•œ E G (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.12))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.26) (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23)))) (IsTopologicalAddGroup.toContinuousAdd.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23)))) (NormedAddGroup.toAddGroup.{u_4} G (NormedAddCommGroup.toNormedAddGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_4} π•œ G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23))) (SMulZeroClass.toSMul.{u_1, u_4} π•œ G (AddZero.toZero.{u_4} G (AddZeroClass.toAddZero.{u_4} G (AddMonoid.toAddZeroClass.{u_4} G (AddCommMonoid.toAddMonoid.{u_4} G (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23)))))) (DistribSMul.toSMulZeroClass.{u_1, u_4} π•œ G (AddMonoid.toAddZeroClass.{u_4} G (AddCommMonoid.toAddMonoid.{u_4} G (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23)))) (DistribMulAction.toDistribSMul.{u_1, u_4} π•œ G (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_4} G (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23))) (Module.toDistribMulAction.{u_1, u_4} π•œ G (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.26))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_4} π•œ G (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_4} G (SubNegZeroMonoid.toNegZeroClass.{u_4} G (SubtractionMonoid.toSubNegZeroMonoid.{u_4} G (SubtractionCommMonoid.toSubtractionMonoid.{u_4} G (AddCommGroup.toDivisionAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23)))))) (SMulZeroClass.toSMul.{u_1, u_4} π•œ G (AddZero.toZero.{u_4} G (AddZeroClass.toAddZero.{u_4} G (AddMonoid.toAddZeroClass.{u_4} G (AddCommMonoid.toAddMonoid.{u_4} G (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23)))))) (DistribSMul.toSMulZeroClass.{u_1, u_4} π•œ G (AddMonoid.toAddZeroClass.{u_4} G (AddCommMonoid.toAddMonoid.{u_4} G (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23)))) (DistribMulAction.toDistribSMul.{u_1, u_4} π•œ G (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_4} G (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23))) (Module.toDistribMulAction.{u_1, u_4} π•œ G (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.26))))) (NormedSpace.toIsBoundedSMul.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.26))))}, (HasFTaylorSeriesUpToOn.{u_1, u_2, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.12 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.26 n g q s) -> (HasFTaylorSeriesUpToOn.{u_1, u_2, max u_4 u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.12 (Prod.{u_3, u_4} F G) (Prod.normedAddCommGroup.{u_3, u_4} F G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23) (Prod.normedSpace.{u_1, u_3, u_4} π•œ F G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.19 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.26) n (fun (y : E) => Prod.mk.{u_3, u_4} F G (f y) (g y)) (fun (y : E) (k : Nat) => ContinuousMultilinearMap.prod.{u_1, 0, u_2, u_3, u_4} π•œ (Fin k) (fun (i._@.Mathlib.Analysis.Calculus.FormalMultilinearSeries.4193387797._hygCtx._hyg.128 : Fin k) => E) F G (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6))))) (fun (i : Fin k) => AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16)) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23)) (fun (i : Fin k) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.26) (fun (i : Fin k) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.16)))) (UniformSpace.toTopologicalSpace.{u_4} G (PseudoEMetricSpace.toUniformSpace.{u_4} G (PseudoMetricSpace.toPseudoEMetricSpace.{u_4} G (SeminormedAddGroup.toPseudoMetricSpace.{u_4} G (SeminormedAddCommGroup.toSeminormedAddGroup.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2757271480._hygCtx._hyg.23)))))) (p y k) (q y k)) s))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {f : E β†’ F}\n {p : E β†’ FormalMultilinearSeries π•œ E F} {n : WithTop β„•βˆž},\n HasFTaylorSeriesUpToOn n f p s β†’\n βˆ€ {g : E β†’ G} {q : E β†’ FormalMultilinearSeries π•œ E G},\n HasFTaylorSeriesUpToOn n g q s β†’\n HasFTaylorSeriesUpToOn n (fun y => (f y, g y)) (fun y k => (p y k).prod (q y k)) s","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {f : E β†’ F}\n {p : E β†’ FormalMultilinearSeries π•œ E F} {n : WithTop β„•βˆž},\n HasFTaylorSeriesUpToOn n f p s β†’\n βˆ€ {g : E β†’ G} {q : E β†’ FormalMultilinearSeries π•œ E G},\n HasFTaylorSeriesUpToOn n g q s β†’\n HasFTaylorSeriesUpToOn n (fun y => (f y, g y)) (fun y k => (p y k).prod (q y k)) s","typeReferences":[["SubtractionMonoid","toSubNegZeroMonoid"],["PseudoMetricSpace","toUniformSpace"],["FormalMultilinearSeries"],["Prod","mk"],["Fin"],["WithTop"],["SMulZeroClass","toSMul"],["NormedAddCommGroup","toAddCommGroup"],["NonUnitalNonAssocRing","toNonUnitalNonAssocSemiring"],["NontriviallyNormedField"],["NormedSpace"],["Prod","normedAddCommGroup"],["NonUnitalNonAssocCommRing","toNonUnitalNonAssocRing"],["NormedAddCommGroup"],["Semifield","toDivisionSemiring"],["NormedField","toNormedCommRing"],["DistribSMul","toSMulZeroClass"],["NormedSpace","toModule"],["ContinuousMultilinearMap","prod"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["NonUnitalCommRing","toNonUnitalNonAssocCommRing"],["DistribMulAction","toDistribSMul"],["IsBoundedSMul","toUniformContinuousConstSMul"],["DivisionSemiring","toSemiring"],["AddZeroClass","toAddZero"],["SeminormedCommRing","toSeminormedRing"],["Prod"],["NormedAddCommGroup","toNormedAddGroup"],["AddCommGroup","toAddCommMonoid"],["NegZeroClass","toZero"],["HasFTaylorSeriesUpToOn"],["NonUnitalNormedCommRing","toNonUnitalCommRing"],["AddZero","toZero"],["AddMonoid","toAddZeroClass"],["PseudoMetricSpace","toPseudoEMetricSpace"],["UniformSpace","toTopologicalSpace"],["ENat"],["SubtractionCommMonoid","toSubtractionMonoid"],["AddCommMonoid","toAddMonoid"],["SeminormedAddGroup","toPseudoMetricSpace"],["UniformContinuousConstSMul","to_continuousConstSMul"],["SubNegZeroMonoid","toNegZeroClass"],["NontriviallyNormedField","toNormedField"],["PseudoEMetricSpace","toUniformSpace"],["SeminormedAddCommGroup","toIsTopologicalAddGroup"],["SeminormedRing","toPseudoMetricSpace"],["NormedField","toField"],["MonoidWithZero","toMonoid"],["NormedAddGroup","toAddGroup"],["Set"],["Semiring","toMonoidWithZero"],["SeminormedAddCommGroup","toSeminormedAddGroup"],["Module","toDistribMulAction"],["AddCommGroup","toDivisionAddCommMonoid"],["MulZeroClass","toZero"],["NonUnitalNonAssocSemiring","toMulZeroClass"],["Field","toSemifield"],["IsTopologicalAddGroup","toContinuousAdd"],["NormedCommRing","toSeminormedCommRing"],["NormedSpace","toIsBoundedSMul"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["Prod","normedSpace"],["NormedCommRing","toNonUnitalNormedCommRing"]],"valueReferences":[["SubtractionMonoid","toSubNegZeroMonoid"],["smulCommClass_self"],["SeminormedAddGroup","toAddGroup"],["PseudoMetricSpace","toUniformSpace"],["SemigroupAction","toSMul"],["SMulZeroClass","toSMul"],["heq_of_eq"],["NonUnitalNonAssocRing","toNonUnitalNonAssocSemiring"],["RingHom","id"],["Prod","normedAddCommGroup"],["Eq","symm"],["LinearIsometryEquiv"],["Monoid","toSemigroup"],["HasFTaylorSeriesUpToOn","fderivWithin"],["Eq","ndrec"],["NormedField","toNormedCommRing"],["HEq","casesOn"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["ContinuousMultilinearMap","prod"],["ContinuousMultilinearMap","instTopologicalSpace"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["NonUnitalCommRing","toNonUnitalNonAssocCommRing"],["IsBoundedSMul","toUniformContinuousConstSMul"],["DivisionSemiring","toSemiring"],["SeminormedCommRing","toSeminormedRing"],["LinearIsometryEquiv","hasFDerivAt"],["Ring","toSemiring"],["TopologicalSpace"],["Prod"],["Eq","refl"],["NormedAddCommGroup","toNormedAddGroup"],["HEq"],["RingHomInvPair","ids"],["AddCommGroup","toAddCommMonoid"],["Eq","mpr"],["AddMonoid","toAddZeroClass"],["Module"],["Prod","continuousConstSMul"],["instTopologicalSpaceProd"],["SubtractionCommMonoid","toSubtractionMonoid"],["HasFDerivAt","comp_hasFDerivWithinAt"],["AddCommMonoid","toAddMonoid"],["Fin","fintype"],["NontriviallyNormedField","toNormedField"],["SeminormedAddCommGroup","toIsTopologicalAddGroup"],["SeminormedRing","toPseudoMetricSpace"],["Prod","seminormedAddCommGroup"],["instOfNatNat"],["EquivLike","toFunLike"],["NormedAddGroup","toAddGroup"],["Continuous","comp_continuousOn"],["Eq"],["HasFDerivWithinAt","prodMk"],["SeminormedAddCommGroup","toAddCommGroup"],["AddCommGroup"],["SeminormedAddCommGroup","toSeminormedAddGroup"],["OfNat","ofNat"],["CommRing","toCommMonoid"],["CommRing","toRing"],["Module","toDistribMulAction"],["AddCommGroup","toDivisionAddCommMonoid"],["MulZeroClass","toZero"],["NonUnitalNonAssocSemiring","toMulZeroClass"],["IsTopologicalAddGroup","toContinuousAdd"],["ContinuousMultilinearMap","curry0"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["Prod","normedSpace"],["HasFDerivWithinAt"],["RingHomCompTriple","ids"],["Prod","mk"],["LinearIsometryEquiv","instEquivLike"],["Fin"],["NormedAddCommGroup","toAddCommGroup"],["Prod","instAddCommMonoid"],["NormedRing","toRing"],["Semiring","toNonAssocSemiring"],["funext"],["eq_of_heq"],["NonUnitalNonAssocCommRing","toNonUnitalNonAssocRing"],["ContinuousLinearMap","prod"],["DistribMulAction","toMulAction"],["HasFTaylorSeriesUpToOn","cont"],["Semifield","toDivisionSemiring"],["DistribSMul","toSMulZeroClass"],["DistribMulAction","toDistribSMul"],["ContinuousMultilinearMap","seminormedAddCommGroup"],["ContinuousMultilinearMap"],["AddZer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{π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.23)] {s : Set.{u_2} E} {f : E -> F} {x : E} {n : WithTop.{0} ENat} (e : ContinuousLinearEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))) 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π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ 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(PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.12)) G E (ContinuousLinearEquiv.equivLike.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6)))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.12))) e)) (Set.preimage.{u_4, u_2} G E (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6)))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.12)) G (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : G) => E) (EquivLike.toFunLike.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6)))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.12)) G E (ContinuousLinearEquiv.equivLike.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6)))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.12))) e) s) (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_2, succ u_4} (ContinuousLinearEquiv.{u_1, u_1, u_2, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6)))))) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6)))))) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} 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(ContinuousLinearEquiv.equivLike.{u_1, u_1, u_2, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6)))))) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.26))) (ContinuousLinearEquiv.symm.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6)))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.12) e) x)) (ContDiffWithinAt.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3111551406._hygCtx._hyg.19 n f s x)","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {f : E β†’ F} {x : E} {n : WithTop β„•βˆž}\n (e : G ≃L[π•œ] E), ContDiffWithinAt π•œ n (f ∘ ⇑e) (⇑e ⁻¹' s) (e.symm x) ↔ ContDiffWithinAt π•œ n f s x","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {f : E β†’ F} {x : E} {n : WithTop β„•βˆž}\n (e : G ≃L[π•œ] E), ContDiffWithinAt π•œ n (f ∘ ⇑e) (⇑e ⁻¹' s) (e.symm x) ↔ ContDiffWithinAt π•œ n f s x","typeReferences":[["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["ContDiffWithinAt"],["ENat"],["WithTop"],["DFunLike","coe"],["NormedAddCommGroup","toAddCommGroup"],["ContinuousLinearEquiv","symm"],["NontriviallyNormedField","toNormedField"],["NormedField","toField"],["NontriviallyNormedField"],["Semiring","toNonAssocSemiring"],["NormedSpace"],["RingHom","id"],["EquivLike","toFunLike"],["NormedAddCommGroup"],["Semifield","toDivisionSemiring"],["Set","preimage"],["NormedSpace","toModule"],["Set"],["ContinuousLinearEquiv","equivLike"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["DivisionSemiring","toSemiring"],["Function","comp"],["ContinuousLinearEquiv"],["Iff"],["Field","toSemifield"],["RingHomInvPair","ids"],["AddCommGroup","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["PseudoMetricSpace","toUniformSpace"],["ContDiffWithinAt","comp_continuousLinearMap"],["Eq","mp"],["ContDiffWithinAt"],["UniformSpace","toTopologicalSpace"],["DFunLike","coe"],["NormedAddCommGroup","toAddCommGroup"],["ContinuousLinearEquiv","symm"],["congrArg"],["ContinuousLinearMap"],["NontriviallyNormedField","toNormedField"],["Iff","intro"],["Semiring","toNonAssocSemiring"],["NormedField","toField"],["ContinuousLinearEquiv","coe_coe"],["RingHom","id"],["congr"],["ContinuousLinearEquiv","apply_symm_apply"],["funext"],["EquivLike","toFunLike"],["Eq","symm"],["congrFun'"],["Semifield","toDivisionSemiring"],["Set","preimage"],["NormedSpace","toModule"],["Set"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["ContinuousLinearEquiv","equivLike"],["DivisionSemiring","toSemiring"],["Function","comp"],["ContinuousLinearMap","funLike"],["ContinuousLinearEquiv"],["RingHomInvPair","ids"],["Field","toSemifield"],["AddCommGroup","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["ContinuousLinearEquiv","toContinuousLinearMap"]]},{"isProp":true,"kind":"theorem","name":["ContinuousLinearEquiv","iteratedFDerivWithin_comp_left"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.23)] {s : Set.{u_2} E} {x : E} (g : ContinuousLinearEquiv.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6)))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.26)) (f : E -> F), (UniqueDiffOn.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6))))) (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.9)))) s) -> (Membership.mem.{u_2, u_2} E (Set.{u_2} E) (Set.instMembership.{u_2} E) s x) -> (forall (i : Nat), Eq.{max (succ u_2) (succ u_4)} (ContinuousMultilinearMap.{u_1, 0, u_2, u_4} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => E) G (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E 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(NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.26) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.23))))) (iteratedFDerivWithin.{u_1, u_2, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.12 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.26 i (Function.comp.{succ u_2, succ u_3, succ u_4} E F G (DFunLike.coe.{max (succ u_3) (succ u_4), succ u_3, succ u_4} (ContinuousLinearEquiv.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ 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(NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6)))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.26)) F (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : F) => G) (EquivLike.toFunLike.{max (succ u_3) (succ u_4), succ u_3, succ u_4} (ContinuousLinearEquiv.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6)))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.26)) F G (ContinuousLinearEquiv.equivLike.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6)))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.26))) g) f) s x) (ContinuousLinearMap.compContinuousMultilinearMap.{u_1, 0, u_2, u_3, u_4} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => E) F G (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.9))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.16)) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.23)) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.26) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.16)))) (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.23)))) (ContinuousLinearEquiv.toContinuousLinearMap.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6)))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.26) g) (iteratedFDerivWithin.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2763784284._hygCtx._hyg.19 i f s x)))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {x : E} (g : F ≃L[π•œ] G) (f : E β†’ F),\n UniqueDiffOn π•œ s β†’\n x ∈ s β†’\n βˆ€ (i : β„•),\n iteratedFDerivWithin π•œ i (⇑g ∘ f) s x = (↑g).compContinuousMultilinearMap (iteratedFDerivWithin π•œ i f s x)","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {x : E} (g : F ≃L[π•œ] G) (f : E β†’ F),\n UniqueDiffOn 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{π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.287578961._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.287578961._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.287578961._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.287578961._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.287578961._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.287578961._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.287578961._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.287578961._hygCtx._hyg.6) 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[inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.23)] {s : Set.{u_2} E} {f : E -> F} {n : WithTop.{0} ENat}, (ContDiffOn.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.19 n f s) -> (forall (g : ContinuousLinearMap.{u_1, u_1, 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.12)), ContDiffOn.{u_1, u_4, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.6 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.26 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.19 n (Function.comp.{succ u_4, succ u_2, succ u_3} G E F f (DFunLike.coe.{max (succ u_2) (succ u_4), succ u_4, succ u_2} (ContinuousLinearMap.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.6))))))) G 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.9) 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(NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.6))))))) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.23)) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3751160733._hygCtx._hyg.9)) 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[inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {f : E β†’ F} {n : WithTop β„•βˆž},\n ContDiffOn π•œ n f s β†’ βˆ€ (g : G β†’L[π•œ] E), ContDiffOn π•œ n (f ∘ ⇑g) (⇑g ⁻¹' s)","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {f : E β†’ F} {n : WithTop β„•βˆž},\n ContDiffOn π•œ n f s β†’ βˆ€ (g : G β†’L[π•œ] E), ContDiffOn π•œ n (f ∘ ⇑g) (⇑g ⁻¹' s)","typeReferences":[["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["ENat"],["WithTop"],["NormedAddCommGroup","toAddCommGroup"],["DFunLike","coe"],["ContinuousLinearMap"],["NontriviallyNormedField","toNormedField"],["NontriviallyNormedField"],["NormedField","toField"],["Semiring","toNonAssocSemiring"],["NormedSpace"],["RingHom","id"],["NormedAddCommGroup"],["Semifield","toDivisionSemiring"],["Set","preimage"],["NormedSpace","toModule"],["Set"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["DivisionSemiring","toSemiring"],["Function","comp"],["ContDiffOn"],["ContinuousLinearMap","funLike"],["Field","toSemifield"],["AddCommGroup","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["NormedSpace","toModule"],["PseudoMetricSpace","toUniformSpace"],["ContDiffWithinAt","comp_continuousLinearMap"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["UniformSpace","toTopologicalSpace"],["DivisionSemiring","toSemiring"],["NormedAddCommGroup","toAddCommGroup"],["DFunLike","coe"],["ContinuousLinearMap"],["NontriviallyNormedField","toNormedField"],["ContinuousLinearMap","funLike"],["NormedField","toField"],["Semiring","toNonAssocSemiring"],["RingHom","id"],["AddCommGroup","toAddCommMonoid"],["Field","toSemifield"],["Semifield","toDivisionSemiring"],["NormedAddCommGroup","toSeminormedAddCommGroup"]]},{"isProp":true,"kind":"theorem","name":["contDiffWithinAt_of_subsingleton"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2822921769._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2822921769._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2822921769._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2822921769._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2822921769._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2822921769._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2822921769._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2822921769._hygCtx._hyg.6) 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1709404260._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1709404260._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1709404260._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1709404260._hygCtx._hyg.19 n f (s i)))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F} {n : WithTop β„•βˆž}\n {ΞΉ : Type u_5} {s : ΞΉ β†’ Set E},\n (βˆ€ (i : ΞΉ), IsOpen (s i)) β†’ (ContDiffOn π•œ n f (⋃ i, s i) ↔ βˆ€ (i : ΞΉ), ContDiffOn π•œ n f (s i))","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F} {n : WithTop β„•βˆž}\n {ΞΉ : Type u_5} {s : ΞΉ β†’ Set E},\n (βˆ€ (i : ΞΉ), IsOpen (s i)) β†’ (ContDiffOn π•œ n f (⋃ i, s i) ↔ βˆ€ (i : ΞΉ), ContDiffOn π•œ n f (s i))","typeReferences":[["PseudoMetricSpace","toUniformSpace"],["Set"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["UniformSpace","toTopologicalSpace"],["ENat"],["WithTop"],["Set","iUnion"],["ContDiffOn"],["NontriviallyNormedField","toNormedField"],["NontriviallyNormedField"],["IsOpen"],["NormedSpace"],["Iff"],["NormedAddCommGroup"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["ContDiffOn","iUnion_of_isOpen"],["Set","subset_iUnion_of_subset"],["ContDiffOn","mono"],["Set","iUnion"],["ContDiffOn"],["Iff","intro"]]},{"isProp":true,"kind":"theorem","name":["IsBoundedLinearMap","contDiff"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354819._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354819._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354819._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354819._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354819._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354819._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354819._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354819._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354819._hygCtx._hyg.16)] {f : E -> F} {n : WithTop.{0} ENat}, (IsBoundedLinearMap.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354819._hygCtx._hyg.6))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354819._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354819._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354819._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354819._hygCtx._hyg.12) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354819._hygCtx._hyg.16) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354819._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354819._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354819._hygCtx._hyg.19) f) -> (ContDiff.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354819._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354819._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354819._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354819._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354819._hygCtx._hyg.19 n f)","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F} {n : WithTop β„•βˆž},\n IsBoundedLinearMap π•œ f β†’ ContDiff π•œ n f","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F} {n : WithTop β„•βˆž},\n IsBoundedLinearMap π•œ f β†’ ContDiff π•œ n f","typeReferences":[["NormedSpace","toModule"],["ENat"],["WithTop"],["IsBoundedLinearMap"],["DivisionSemiring","toSemiring"],["NontriviallyNormedField","toNormedField"],["NontriviallyNormedField"],["NormedField","toField"],["NormedSpace"],["ContDiff"],["Field","toSemifield"],["NormedAddCommGroup"],["Semifield","toDivisionSemiring"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["PseudoMetricSpace","toUniformSpace"],["IsBoundedLinearMap","toContinuousLinearMap"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["UniformSpace","toTopologicalSpace"],["DivisionSemiring","toSemiring"],["DFunLike","coe"],["ContinuousLinearMap","analyticOnNhd"],["ContinuousLinearMap"],["NontriviallyNormedField","toNormedField"],["Set","univ"],["ContinuousLinearMap","funLike"],["NormedField","toField"],["Semiring","toNonAssocSemiring"],["AnalyticOnNhd","contDiff"],["RingHom","id"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["Field","toSemifield"],["Semifield","toDivisionSemiring"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"]]},{"isProp":true,"kind":"theorem","name":["ContinuousLinearEquiv","contDiff_comp_iff"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3180180526._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3180180526._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3180180526._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3180180526._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3180180526._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3180180526._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3180180526._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3180180526._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3180180526._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3180180526._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3180180526._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3180180526._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3180180526._hygCtx._hyg.23)] {f : E -> F} {n : WithTop.{0} ENat} (e : ContinuousLinearEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3180180526._hygCtx._hyg.6))))) 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inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3) (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15)] {f : E -> F} {n : Nat}, Eq.{max (succ uE) (succ uF)} (E -> (ContinuousMultilinearMap.{u, 0, uE, uF} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin n) => E) F (DivisionSemiring.toSemiring.{u} π•œ (Semifield.toDivisionSemiring.{u} π•œ (Field.toSemifield.{u} π•œ (NormedField.toField.{u} π•œ (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{uE} E (UniformSpace.toTopologicalSpace.{uE} E (PseudoMetricSpace.toUniformSpace.{uE} E (SeminormedAddCommGroup.toPseudoMetricSpace.{uE} E (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E 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inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15) inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.18) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{uE} E (PseudoMetricSpace.toUniformSpace.{uE} E (SeminormedAddCommGroup.toPseudoMetricSpace.{uE} E (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7)))) (UniformSpace.toTopologicalSpace.{uF} F (PseudoMetricSpace.toUniformSpace.{uF} F (SeminormedAddCommGroup.toPseudoMetricSpace.{uF} F (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15)))))) (iteratedFDeriv.{u, uE, uF} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3 E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.10 F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.18 n f) (iteratedFDerivWithin.{u, uE, uF} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3 E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.10 F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.18 n f (Set.univ.{uE} E))","typeFull":"βˆ€ {π•œ : Type u} [inst : NontriviallyNormedField π•œ] {E : Type uE} [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {F : Type uF} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F}\n {n : β„•}, iteratedFDeriv π•œ n f = iteratedFDerivWithin π•œ n f Set.univ","typeReadable":"βˆ€ {π•œ : Type u} [inst : NontriviallyNormedField π•œ] {E : Type uE} [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {F : Type uF} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F}\n {n : β„•}, iteratedFDeriv π•œ n f = iteratedFDerivWithin π•œ n f 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{π•œ : Type.{u}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3 : NontriviallyNormedField.{u} π•œ] {E : Type.{uE}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7 : NormedAddCommGroup.{uE} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.10 : NormedSpace.{u, uE} π•œ E (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3) (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7)] {F : Type.{uF}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15 : NormedAddCommGroup.{uF} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.18 : NormedSpace.{u, uF} π•œ F (NontriviallyNormedField.toNormedField.{u} π•œ 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(PseudoMetricSpace.toUniformSpace.{uF} F (SeminormedAddCommGroup.toPseudoMetricSpace.{uF} F (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15)))) (NormedAddCommGroup.toENormedAddCommMonoid.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15))) (fun (i : Fin n) => NormedSpace.toModule.{u, uE} π•œ E (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3) (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7) inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.10) (NormedSpace.toModule.{u, uF} π•œ F (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3) (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15) inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.18) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{uE} E (PseudoMetricSpace.toUniformSpace.{uE} E (SeminormedAddCommGroup.toPseudoMetricSpace.{uE} E (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7)))) (UniformSpace.toTopologicalSpace.{uF} F (PseudoMetricSpace.toUniformSpace.{uF} F (SeminormedAddCommGroup.toPseudoMetricSpace.{uF} F (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15)))))) (iteratedFDeriv.{u, uE, uF} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3 E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.10 F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.18 n f) (iteratedFDerivWithin.{u, uE, uF} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3 E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.10 F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.18 n f (Set.univ.{uE} E))","typeFull":"βˆ€ {π•œ : Type u} [inst : NontriviallyNormedField π•œ] {E : Type uE} [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {F : Type uF} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F}\n {n : β„•}, iteratedFDeriv π•œ n f = iteratedFDerivWithin π•œ n f Set.univ","typeReadable":"βˆ€ {π•œ : Type u} [inst : NontriviallyNormedField π•œ] {E : Type uE} [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {F : Type uF} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F}\n {n : β„•}, iteratedFDeriv π•œ n f = iteratedFDerivWithin π•œ n f 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{π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.23)] (g : LinearIsometryEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6)))))) G E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.23) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.12)) (f : E -> F) (x : G) (i : Nat), Eq.{1} Real (Norm.norm.{max u_3 u_4} (ContinuousMultilinearMap.{u_1, 0, u_4, u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin i) => G) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.23)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.23)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.23))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.16))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.23)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.16))))) (ContinuousMultilinearMap.hasOpNorm'.{u_1, 0, u_4, u_3} π•œ (Fin i) G F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6 (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.26 (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.19 (Fin.fintype i)) (iteratedFDeriv.{u_1, u_4, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.26 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.19 i (Function.comp.{succ u_4, succ u_2, succ u_3} G E F f (DFunLike.coe.{max (succ u_4) (succ u_2), succ u_4, succ u_2} (LinearIsometryEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.12)) G (fun (a._@._internal._hyg.0 : G) => E) (EquivLike.toFunLike.{max (succ u_4) (succ u_2), succ u_4, succ u_2} (LinearIsometryEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6)))))) G E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.23) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.12)) G E (LinearIsometryEquiv.instEquivLike.{u_1, u_1, u_4, u_2} π•œ π•œ G E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6)))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.23) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.26) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.12))) g)) x)) (Norm.norm.{max u_3 u_2} (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin i) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.16))))) (ContinuousMultilinearMap.hasOpNorm'.{u_1, 0, u_2, u_3} π•œ (Fin i) E F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6 (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.12 (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.19 (Fin.fintype i)) (iteratedFDeriv.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.19 i f (DFunLike.coe.{max (succ u_4) (succ u_2), succ u_4, succ u_2} (LinearIsometryEquiv.{u_1, u_1, u_4, u_2} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.6)))))) G E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.23) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3618416383._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_4} π•œ G 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NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] (g : G ≃ₗᡒ[π•œ] E) (f : E β†’ F) (x : G) (i : β„•),\n β€–iteratedFDeriv π•œ i (f ∘ ⇑g) xβ€– = β€–iteratedFDeriv π•œ i f (g x)β€–","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] (g : G ≃ₗᡒ[π•œ] E) (f : E β†’ F) (x : G) (i : β„•),\n β€–iteratedFDeriv π•œ i (f ∘ ⇑g) xβ€– = β€–iteratedFDeriv π•œ i f (g 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{π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.23)] {s : Set.{u_2} E} {f : E -> F} {x : E} {n : WithTop.{0} ENat} (e : ContinuousLinearEquiv.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ 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π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.6)))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.26)) F G (ContinuousLinearEquiv.equivLike.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.6)))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.26))) e) f) s x) (ContDiffWithinAt.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.1172696030._hygCtx._hyg.19 n f s x)","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {f : E β†’ F} {x : E} {n : WithTop β„•βˆž}\n (e : F ≃L[π•œ] G), ContDiffWithinAt π•œ n (⇑e ∘ f) s x ↔ ContDiffWithinAt π•œ n f s x","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {f : E β†’ F} {x : E} {n : WithTop β„•βˆž}\n (e : F ≃L[π•œ] G), ContDiffWithinAt π•œ n (⇑e ∘ f) s x ↔ ContDiffWithinAt π•œ n f s x","typeReferences":[["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["ContDiffWithinAt"],["ENat"],["WithTop"],["DFunLike","coe"],["NormedAddCommGroup","toAddCommGroup"],["NontriviallyNormedField","toNormedField"],["NormedField","toField"],["NontriviallyNormedField"],["Semiring","toNonAssocSemiring"],["NormedSpace"],["RingHom","id"],["EquivLike","toFunLike"],["NormedAddCommGroup"],["Semifield","toDivisionSemiring"],["NormedSpace","toModule"],["Set"],["ContinuousLinearEquiv","equivLike"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["DivisionSemiring","toSemiring"],["Function","comp"],["ContinuousLinearEquiv"],["Iff"],["Field","toSemifield"],["RingHomInvPair","ids"],["AddCommGroup","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["PseudoMetricSpace","toUniformSpace"],["Eq","mp"],["ContDiffWithinAt"],["UniformSpace","toTopologicalSpace"],["DFunLike","coe"],["NormedAddCommGroup","toAddCommGroup"],["ContinuousLinearEquiv","symm"],["congrArg"],["NontriviallyNormedField","toNormedField"],["Iff","intro"],["ContinuousLinearMap"],["Semiring","toNonAssocSemiring"],["NormedField","toField"],["RingHom","id"],["ContinuousLinearEquiv","symm_apply_apply"],["funext"],["EquivLike","toFunLike"],["congrFun'"],["ContDiffWithinAt","continuousLinearMap_comp"],["Semifield","toDivisionSemiring"],["NormedSpace","toModule"],["Set"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["ContinuousLinearEquiv","equivLike"],["DivisionSemiring","toSemiring"],["Function","comp"],["ContinuousLinearMap","funLike"],["ContinuousLinearEquiv"],["RingHomInvPair","ids"],["Field","toSemifield"],["AddCommGroup","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["ContinuousLinearEquiv","toContinuousLinearMap"]]},{"isProp":true,"kind":"theorem","name":["iteratedFDerivWithin_const_of_ne"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.16)] {n : Nat}, (Ne.{1} Nat n (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) -> (forall (c : F) (s : Set.{u_2} E), Eq.{max (succ u_2) (succ u_3)} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin n) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.16))) (fun (i : Fin n) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.19) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.16)))))) (iteratedFDerivWithin.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.19 n (fun (x._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.82 : E) => c) s) (OfNat.ofNat.{max u_2 u_3} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin n) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.9)))) 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(NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.16))) (fun (i : Fin n) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.19) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.16)))))) (Pi.instZero.{u_2, max u_2 u_3} E (fun (a._@._internal._hyg.0 : E) => ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin n) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.16))) (fun (i : Fin n) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.19) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.16))))) (fun (i : E) => ContinuousMultilinearMap.instZero.{u_1, 0, u_2, u_3} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin n) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.6))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.16))) (fun (i : Fin n) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.19) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.734676439._hygCtx._hyg.16)))))))))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {n : β„•},\n n β‰  0 β†’ βˆ€ (c : F) (s : Set E), iteratedFDerivWithin π•œ n (fun x => c) s = 0","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {n : β„•},\n n β‰  0 β†’ βˆ€ (c : F) (s : Set E), iteratedFDerivWithin π•œ n (fun x => c) s = 0","typeReferences":[["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["Fin"],["NontriviallyNormedField","toNormedField"],["NontriviallyNormedField"],["NormedField","toField"],["instOfNatNat"],["NormedSpace"],["NormedAddCommGroup"],["Zero","toOfNat0"],["Semifield","toDivisionSemiring"],["Eq"],["ContinuousMultilinearMap","instZero"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["Set"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["OfNat","ofNat"],["Nat"],["iteratedFDerivWithin"],["Field","toSemifield"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["Ne"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["Pi","instZero"]],"valueReferences":[["instAddNat"],["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["Fin"],["NontriviallyNormedField","toNormedField"],["NormedField","toField"],["instOfNatNat"],["Eq","symm"],["Zero","toOfNat0"],["Semifield","toDivisionSemiring"],["Eq"],["Eq","ndrec"],["Nat","casesAuxOn"],["iteratedFDerivWithin_succ_const"],["ContinuousMultilinearMap","instZero"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["instHAdd"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["OfNat","ofNat"],["HAdd","hAdd"],["absurd"],["Nat"],["iteratedFDerivWithin"],["Eq","refl"],["Field","toSemifield"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["Ne"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["Pi","instZero"]]},{"isProp":true,"kind":"definition","name":["_private","Mathlib","Analysis","Calculus","ContDiff","Basic",0,"ContDiffWithinAt","continuousLinearMap_comp","match_1_1"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.16)] {s : Set.{u_2} E} {f : E -> F} {x : E} (motive : forall (n._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.100 : WithTop.{0} ENat), (ContDiffWithinAt.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.19 n._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.100 f s x) -> Prop) (n._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.100 : WithTop.{0} ENat) (hf : ContDiffWithinAt.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.19 n._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.100 f s x), (forall (hf : ContDiffWithinAt.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.19 (Top.top.{0} (WithTop.{0} ENat) (WithTop.top.{0} ENat)) f s x), motive (Option.none.{0} ENat) hf) -> (forall (n : ENat) (hf : ContDiffWithinAt.{u_1, u_2, u_3} π•œ 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(βˆ€ (n : β„•βˆž) (hf : ContDiffWithinAt π•œ (↑n) f s x), motive (some n) hf) β†’ motive n hf","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {s : Set E} {f : E β†’ F} {x : E}\n (motive : (n : WithTop β„•βˆž) β†’ ContDiffWithinAt π•œ n f s x β†’ Prop) (n : WithTop β„•βˆž) (hf : ContDiffWithinAt π•œ n f s x),\n (βˆ€ (hf : ContDiffWithinAt π•œ ⊀ f s x), motive none hf) β†’\n (βˆ€ (n : β„•βˆž) (hf : ContDiffWithinAt π•œ (↑n) f s x), motive (some n) hf) β†’ motive n 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{π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2822921769._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2822921769._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2822921769._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2822921769._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2822921769._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2822921769._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2822921769._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.2822921769._hygCtx._hyg.6) 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[inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F 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ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16)))))) 0 (Zero.toOfNat0.{max u_2 u_3} (E -> (ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16)))))) (Pi.instZero.{u_2, max u_2 u_3} E (fun (a._@._internal._hyg.0 : E) => ContinuousMultilinearMap.{u_1, 0, u_2, u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16))))) (fun (i_1 : E) => ContinuousMultilinearMap.instZero.{u_1, 0, u_2, u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => E) F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.19) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4016536096._hygCtx._hyg.16))))))))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {s : Set E} {i : β„•},\n iteratedFDerivWithin π•œ i (fun x => 0) s = 0","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {s : Set E} {i : β„•},\n iteratedFDerivWithin π•œ i (fun x => 0) s = 0","typeReferences":[["SubtractionMonoid","toSubNegZeroMonoid"],["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["Fin"],["SubtractionCommMonoid","toSubtractionMonoid"],["NormedAddCommGroup","toAddCommGroup"],["SubNegZeroMonoid","toNegZeroClass"],["NontriviallyNormedField","toNormedField"],["NontriviallyNormedField"],["NormedField","toField"],["NormedSpace"],["NormedAddCommGroup"],["Zero","toOfNat0"],["Semifield","toDivisionSemiring"],["Eq"],["ContinuousMultilinearMap","instZero"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["Set"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["OfNat","ofNat"],["Nat"],["AddCommGroup","toDivisionAddCommMonoid"],["iteratedFDerivWithin"],["Field","toSemifield"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["NegZeroClass","toZero"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["Pi","instZero"]],"valueReferences":[["iteratedFDerivWithin_fun_zero"]]},{"isProp":true,"kind":"theorem","name":["_private","Mathlib","Analysis","Calculus","ContDiff","Basic",0,"ContinuousLinearEquiv","iteratedFDeriv_comp_left","_simp_1_1"],"typeFallback":"forall {π•œ : Type.{u}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3 : NontriviallyNormedField.{u} π•œ] {E : Type.{uE}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7 : NormedAddCommGroup.{uE} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.10 : NormedSpace.{u, uE} π•œ E (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3) (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7)] {F : Type.{uF}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15 : NormedAddCommGroup.{uF} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.18 : NormedSpace.{u, uF} π•œ F (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3) (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15)] {f : E -> F} {n : Nat}, Eq.{max (succ uE) (succ uF)} (E -> (ContinuousMultilinearMap.{u, 0, uE, uF} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin n) => E) F (DivisionSemiring.toSemiring.{u} π•œ (Semifield.toDivisionSemiring.{u} π•œ (Field.toSemifield.{u} π•œ (NormedField.toField.{u} π•œ (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{uE} E (UniformSpace.toTopologicalSpace.{uE} E (PseudoMetricSpace.toUniformSpace.{uE} E (SeminormedAddCommGroup.toPseudoMetricSpace.{uE} E (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{uE} E (UniformSpace.toTopologicalSpace.{uE} E (PseudoMetricSpace.toUniformSpace.{uE} E (SeminormedAddCommGroup.toPseudoMetricSpace.{uE} E (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7)))) (NormedAddCommGroup.toENormedAddCommMonoid.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7))) (ESeminormedAddCommMonoid.toAddCommMonoid.{uF} F (UniformSpace.toTopologicalSpace.{uF} F (PseudoMetricSpace.toUniformSpace.{uF} F (SeminormedAddCommGroup.toPseudoMetricSpace.{uF} F (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{uF} F (UniformSpace.toTopologicalSpace.{uF} F (PseudoMetricSpace.toUniformSpace.{uF} F (SeminormedAddCommGroup.toPseudoMetricSpace.{uF} F (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15)))) (NormedAddCommGroup.toENormedAddCommMonoid.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15))) (fun (i : Fin n) => NormedSpace.toModule.{u, uE} π•œ E (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3) (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7) inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.10) (NormedSpace.toModule.{u, uF} π•œ F (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3) (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15) inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.18) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{uE} E (PseudoMetricSpace.toUniformSpace.{uE} E (SeminormedAddCommGroup.toPseudoMetricSpace.{uE} E (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7)))) (UniformSpace.toTopologicalSpace.{uF} F (PseudoMetricSpace.toUniformSpace.{uF} F (SeminormedAddCommGroup.toPseudoMetricSpace.{uF} F (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15)))))) (iteratedFDeriv.{u, uE, uF} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3 E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.10 F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.18 n f) (iteratedFDerivWithin.{u, uE, uF} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3 E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.10 F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.18 n f (Set.univ.{uE} E))","typeFull":"βˆ€ {π•œ : Type u} [inst : NontriviallyNormedField π•œ] {E : Type uE} [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {F : Type uF} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F}\n {n : β„•}, iteratedFDeriv π•œ n f = iteratedFDerivWithin π•œ n f Set.univ","typeReadable":"βˆ€ {π•œ : Type u} [inst : NontriviallyNormedField π•œ] {E : Type uE} [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {F : Type uF} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F}\n {n : β„•}, iteratedFDeriv π•œ n f = iteratedFDerivWithin π•œ n f Set.univ","typeReferences":[["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["PseudoMetricSpace","toUniformSpace"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["UniformSpace","toTopologicalSpace"],["Fin"],["iteratedFDeriv"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["NontriviallyNormedField","toNormedField"],["Set","univ"],["Nat"],["NontriviallyNormedField"],["NormedField","toField"],["iteratedFDerivWithin"],["NormedSpace"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["Field","toSemifield"],["NormedAddCommGroup"],["Semifield","toDivisionSemiring"],["Eq"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["PseudoMetricSpace","toUniformSpace"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["UniformSpace","toTopologicalSpace"],["Fin"],["iteratedFDeriv"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["NontriviallyNormedField","toNormedField"],["Set","univ"],["NormedField","toField"],["iteratedFDerivWithin"],["iteratedFDerivWithin_univ"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["Eq","symm"],["Field","toSemifield"],["Semifield","toDivisionSemiring"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"]]},{"isProp":true,"kind":"theorem","name":["ContinuousLinearEquiv","contDiff"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.16)] {n : WithTop.{0} ENat} (f : ContinuousLinearEquiv.{u_1, u_1, u_2, u_3} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6)))))) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.9)) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.16)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.19)), ContDiff.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.19 n (DFunLike.coe.{max (succ u_2) (succ u_3), succ u_2, succ u_3} (ContinuousLinearEquiv.{u_1, u_1, u_2, u_3} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6)))))) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.9)) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.16)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.19)) E (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : E) => F) (EquivLike.toFunLike.{max (succ u_2) (succ u_3), succ u_2, succ u_3} (ContinuousLinearEquiv.{u_1, u_1, u_2, u_3} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6)))))) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.9)) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.16)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.19)) E F (ContinuousLinearEquiv.equivLike.{u_1, u_1, u_2, u_3} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6)))))) E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.9)))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.9)) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.16)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354821._hygCtx._hyg.19))) f)","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {n : WithTop β„•βˆž}\n (f : E ≃L[π•œ] F), ContDiff π•œ n ⇑f","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {n : WithTop β„•βˆž}\n (f : E ≃L[π•œ] F), ContDiff π•œ n ⇑f","typeReferences":[["PseudoMetricSpace","toUniformSpace"],["UniformSpace","toTopologicalSpace"],["ENat"],["WithTop"],["NormedAddCommGroup","toAddCommGroup"],["DFunLike","coe"],["NontriviallyNormedField","toNormedField"],["NormedField","toField"],["NontriviallyNormedField"],["Semiring","toNonAssocSemiring"],["RingHom","id"],["NormedSpace"],["EquivLike","toFunLike"],["NormedAddCommGroup"],["Semifield","toDivisionSemiring"],["NormedSpace","toModule"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["ContinuousLinearEquiv","equivLike"],["DivisionSemiring","toSemiring"],["ContinuousLinearEquiv"],["ContDiff"],["Field","toSemifield"],["RingHomInvPair","ids"],["AddCommGroup","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["NormedSpace","toModule"],["PseudoMetricSpace","toUniformSpace"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["UniformSpace","toTopologicalSpace"],["DivisionSemiring","toSemiring"],["ContinuousLinearMap","contDiff"],["NormedAddCommGroup","toAddCommGroup"],["NontriviallyNormedField","toNormedField"],["NormedField","toField"],["Semiring","toNonAssocSemiring"],["RingHom","id"],["AddCommGroup","toAddCommMonoid"],["Field","toSemifield"],["RingHomInvPair","ids"],["Semifield","toDivisionSemiring"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["ContinuousLinearEquiv","toContinuousLinearMap"]]},{"isProp":true,"kind":"theorem","name":["ContDiffWithinAt","continuousLinearMap_comp"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.23)] {s : Set.{u_2} E} {f : E -> F} {x : E} {n : WithTop.{0} ENat} (g : ContinuousLinearMap.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.6))))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.26)), (ContDiffWithinAt.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.19 n f s x) -> (ContDiffWithinAt.{u_1, u_2, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.12 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.26 n (Function.comp.{succ u_2, succ u_3, succ u_4} E F G (DFunLike.coe.{max (succ u_3) (succ u_4), succ u_3, succ u_4} (ContinuousLinearMap.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.6))))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.26)) F (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : F) => G) (ContinuousLinearMap.funLike.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ 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inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217855._hygCtx._hyg.26)) g) f) s x)","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {f : E β†’ F} {x : E} {n : WithTop β„•βˆž}\n (g : F β†’L[π•œ] G), ContDiffWithinAt π•œ n f s x β†’ ContDiffWithinAt π•œ n (⇑g ∘ f) s x","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {f : E β†’ F} {x : E} {n : WithTop β„•βˆž}\n (g : F β†’L[π•œ] G), ContDiffWithinAt π•œ n f s x β†’ ContDiffWithinAt π•œ n (⇑g ∘ f) s 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{π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) 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(Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19))))) (ftaylorSeries.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19 (OfNat.ofNat.{max u_2 u_3} (E -> F) 0 (Zero.toOfNat0.{max u_2 u_3} (E -> F) (Pi.instZero.{u_2, u_3} E (fun (a._@._internal._hyg.0 : E) => F) (fun (i : E) => NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))))))))) (OfNat.ofNat.{max u_2 u_3} (E -> (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19))))) 0 (Zero.toOfNat0.{max u_2 u_3} (E -> (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19))))) (Pi.instZero.{u_2, max u_2 u_3} E (fun (x : E) => FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19)))) (fun (i : E) => NegZeroClass.toZero.{max u_2 u_3} (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19)))) (SubNegZeroMonoid.toNegZeroClass.{max u_2 u_3} (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19)))) (SubtractionMonoid.toSubNegZeroMonoid.{max u_2 u_3} (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19)))) (SubtractionCommMonoid.toSubtractionMonoid.{max u_2 u_3} (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19)))) (AddCommGroup.toDivisionAddCommMonoid.{max u_2 u_3} (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19)))) (FormalMultilinearSeries.instAddCommGroup.{u_1, u_2, u_3} π•œ E F (NormedRing.toRing.{u_1} π•œ (NormedCommRing.toNormedRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6)))) (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9))) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.12))) (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6))))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16))) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3330309012._hygCtx._hyg.19))))))))))))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F], ftaylorSeries π•œ 0 = 0","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F], ftaylorSeries π•œ 0 = 0","typeReferences":[["SubtractionMonoid","toSubNegZeroMonoid"],["PseudoMetricSpace","toUniformSpace"],["FormalMultilinearSeries"],["SMulZeroClass","toSMul"],["NormedAddCommGroup","toAddCommGroup"],["NormedRing","toRing"],["NonUnitalNonAssocRing","toNonUnitalNonAssocSemiring"],["NontriviallyNormedField"],["NormedSpace"],["NonUnitalNonAssocCommRing","toNonUnitalNonAssocRing"],["NormedAddCommGroup"],["Semifield","toDivisionSemiring"],["NormedField","toNormedCommRing"],["DistribSMul","toSMulZeroClass"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["NonUnitalCommRing","toNonUnitalNonAssocCommRing"],["DistribMulAction","toDistribSMul"],["IsBoundedSMul","toUniformContinuousConstSMul"],["DivisionSemiring","toSemiring"],["AddZeroClass","toAddZero"],["SeminormedCommRing","toSeminormedRing"],["NormedAddCommGroup","toNormedAddGroup"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["NegZeroClass","toZero"],["NonUnitalNormedCommRing","toNonUnitalCommRing"],["AddZero","toZero"],["Pi","instZero"],["AddMonoid","toAddZeroClass"],["UniformSpace","toTopologicalSpace"],["SubtractionCommMonoid","toSubtractionMonoid"],["AddCommMonoid","toAddMonoid"],["UniformContinuousConstSMul","to_continuousConstSMul"],["SubNegZeroMonoid","toNegZeroClass"],["NontriviallyNormedField","toNormedField"],["SeminormedAddCommGroup","toIsTopologicalAddGroup"],["SeminormedRing","toPseudoMetricSpace"],["NormedField","toField"],["FormalMultilinearSeries","instAddCommGroup"],["MonoidWithZero","toMonoid"],["NormedCommRing","toNormedRing"],["NormedAddGroup","toAddGroup"],["Zero","toOfNat0"],["Eq"],["Semiring","toMonoidWithZero"],["OfNat","ofNat"],["Module","toDistribMulAction"],["AddCommGroup","toDivisionAddCommMonoid"],["MulZeroClass","toZero"],["NonUnitalNonAssocSemiring","toMulZeroClass"],["Field","toSemifield"],["IsTopologicalAddGroup","toContinuousAdd"],["NormedCommRing","toSeminormedCommRing"],["NormedSpace","toIsBoundedSMul"],["ftaylorSeries"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["NormedCommRing","toNonUnitalNormedCommRing"]],"valueReferences":[["SubtractionMonoid","toSubNegZeroMonoid"],["Eq","trans"],["FormalMultilinearSeries"],["PseudoMetricSpace","toUniformSpace"],["Fin"],["SMulZeroClass","toSMul"],["NormedAddCommGroup","toAddCommGroup"],["NormedRing","toRing"],["NonUnitalNonAssocRing","toNonUnitalNonAssocSemiring"],["congrFun"],["funext"],["NonUnitalNonAssocCommRing","toNonUnitalNonAssocRing"],["Semifield","toDivisionSemiring"],["NormedField","toNormedCommRing"],["DistribSMul","toSMulZeroClass"],["ContinuousMultilinearMap","instZero"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["NonUnitalCommRing","toNonUnitalNonAssocCommRing"],["DistribMulAction","toDistribSMul"],["IsBoundedSMul","toUniformContinuousConstSMul"],["iteratedFDeriv"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["AddZeroClass","toAddZero"],["SeminormedCommRing","toSeminormedRing"],["NormedAddCommGroup","toNormedAddGroup"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["NegZeroClass","toZero"],["NonUnitalNormedCommRing","toNonUnitalCommRing"],["AddZero","toZero"],["Pi","instZero"],["AddMonoid","toAddZeroClass"],["UniformSpace","toTopologicalSpace"],["SubtractionCommMonoid","toSubtractionMonoid"],["AddCommMonoid","toAddMonoid"],["DFunLike","coe"],["UniformContinuousConstSMul","to_continuousConstSMul"],["SubNegZeroMonoid","toNegZeroClass"],["FormalMultilinearSeries","ext"],["congrArg"],["NontriviallyNormedField","toNormedField"],["ContinuousMultilinearMap","ext"],["SeminormedAddCommGroup","toIsTopologicalAddGroup"],["SeminormedRing","toPseudoMetricSpace"],["NormedField","toField"],["FormalMultilinearSeries","instAddCommGroup"],["MonoidWithZero","toMonoid"],["NormedCommRing","toNormedRing"],["NormedAddGroup","toAddGroup"],["congrFun'"],["Zero","toOfNat0"],["Eq"],["iteratedFDeriv_zero"],["True"],["Semiring","toMonoidWithZero"],["OfNat","ofNat"],["eq_self"],["Module","toDistribMulAction"],["of_eq_true"],["AddCommGroup","toDivisionAddCommMonoid"],["MulZeroClass","toZero"],["NonUnitalNonAssocSemiring","toMulZeroClass"],["Field","toSemifield"],["IsTopologicalAddGroup","toContinuousAdd"],["NormedCommRing","toSeminormedCommRing"],["NormedSpace","toIsBoundedSMul"],["ftaylorSeries"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["NormedCommRing","toNonUnitalNormedCommRing"],["ContinuousMultilinearMap","funLike"]]},{"isProp":true,"kind":"theorem","name":["iteratedFDerivWithin_prodMk"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.23)] {s : Set.{u_2} E} {x : E} {n : WithTop.{0} ENat} {f : E -> F} {g : E -> G}, (ContDiffWithinAt.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.19 n f s x) -> (ContDiffWithinAt.{u_1, u_2, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.12 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.26 n g s x) -> (UniqueDiffOn.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.6))))) (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.9)))) s) -> (Membership.mem.{u_2, u_2} E (Set.{u_2} E) (Set.instMembership.{u_2} E) s x) -> (forall {i : Nat}, (LE.le.{0} (WithTop.{0} ENat) (Preorder.toLE.{0} (WithTop.{0} ENat) (WithTop.instPreorder.{0} ENat instPreorderENat)) (Nat.cast.{0} (WithTop.{0} ENat) (WithTop.natCast.{0} ENat ENat.instNatCast) i) n) -> (Eq.{max (max (succ u_2) (succ u_3)) (succ u_4)} (ContinuousMultilinearMap.{u_1, 0, u_2, max u_4 u_3} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => E) (Prod.{u_3, u_4} F G) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{max u_4 u_3} (Prod.{u_3, u_4} F G) (UniformSpace.toTopologicalSpace.{max u_4 u_3} (Prod.{u_3, u_4} F G) (PseudoMetricSpace.toUniformSpace.{max u_4 u_3} (Prod.{u_3, u_4} F G) (SeminormedAddCommGroup.toPseudoMetricSpace.{max u_4 u_3} (Prod.{u_3, u_4} F G) (NormedAddCommGroup.toSeminormedAddCommGroup.{max u_4 u_3} (Prod.{u_3, u_4} F G) (Prod.normedAddCommGroup.{u_3, u_4} F G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.23))))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{max u_4 u_3} (Prod.{u_3, u_4} F G) (UniformSpace.toTopologicalSpace.{max u_4 u_3} (Prod.{u_3, u_4} F G) (PseudoMetricSpace.toUniformSpace.{max u_4 u_3} (Prod.{u_3, u_4} F G) (SeminormedAddCommGroup.toPseudoMetricSpace.{max u_4 u_3} (Prod.{u_3, u_4} F G) (NormedAddCommGroup.toSeminormedAddCommGroup.{max u_4 u_3} (Prod.{u_3, u_4} F G) (Prod.normedAddCommGroup.{u_3, u_4} F G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.23))))) (NormedAddCommGroup.toENormedAddCommMonoid.{max u_4 u_3} (Prod.{u_3, u_4} F G) (Prod.normedAddCommGroup.{u_3, u_4} F G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.23)))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, max u_4 u_3} π•œ (Prod.{u_3, u_4} F G) (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{max u_4 u_3} (Prod.{u_3, u_4} F G) (Prod.normedAddCommGroup.{u_3, u_4} F G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.23)) (Prod.normedSpace.{u_1, u_3, u_4} π•œ F G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.16) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.19 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.26)) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{max u_4 u_3} (Prod.{u_3, u_4} F G) (PseudoMetricSpace.toUniformSpace.{max u_4 u_3} (Prod.{u_3, u_4} F G) (SeminormedAddCommGroup.toPseudoMetricSpace.{max u_4 u_3} (Prod.{u_3, u_4} F G) (NormedAddCommGroup.toSeminormedAddCommGroup.{max u_4 u_3} (Prod.{u_3, u_4} F G) (Prod.normedAddCommGroup.{u_3, u_4} F G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.23)))))) (iteratedFDerivWithin.{u_1, u_2, max u_4 u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.12 (Prod.{u_3, u_4} F G) (Prod.normedAddCommGroup.{u_3, u_4} F G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.23) (Prod.normedSpace.{u_1, u_3, u_4} π•œ F G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.16) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.19 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.26) i (fun (x : E) => Prod.mk.{u_3, u_4} F G (f x) (g x)) s x) (ContinuousMultilinearMap.prod.{u_1, 0, u_2, u_3, u_4} π•œ (Fin i) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.2031918562._hygCtx._hyg.64 : Fin i) => E) F G (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.6))))) (fun (i : Fin i) => ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.9))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.16)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.16)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.16))) (ESeminormedAddCommMonoid.toAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.23)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_4} G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.23)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.23))) (fun (i : Fin i) => NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.26) (fun (i : Fin i) => UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.9)))) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.16)))) (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.23)))) (iteratedFDerivWithin.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.19 i f s x) (iteratedFDerivWithin.{u_1, u_2, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.12 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3285343227._hygCtx._hyg.26 i g s x))))","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {x : E} {n : WithTop β„•βˆž} {f : E β†’ F}\n {g : E β†’ G},\n ContDiffWithinAt π•œ n f s x β†’\n ContDiffWithinAt π•œ n g s x β†’\n UniqueDiffOn π•œ s β†’\n x ∈ s β†’\n βˆ€ {i : β„•},\n ↑i ≀ n β†’\n iteratedFDerivWithin π•œ i (fun x => (f x, g x)) s x =\n (iteratedFDerivWithin π•œ i f s x).prod (iteratedFDerivWithin π•œ i g s x)","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {s : Set E} {x : E} {n : WithTop β„•βˆž} {f : E β†’ F}\n {g : E β†’ G},\n ContDiffWithinAt π•œ n f s x β†’\n ContDiffWithinAt π•œ n g s x β†’\n UniqueDiffOn π•œ s β†’\n x ∈ s β†’\n βˆ€ {i : β„•},\n ↑i ≀ n β†’\n iteratedFDerivWithin π•œ i (fun x => (f x, g x)) s x =\n (iteratedFDerivWithin π•œ i f s x).prod (iteratedFDerivWithin π•œ i g s x)","typeReferences":[["Nat","cast"],["PseudoMetricSpace","toUniformSpace"],["Prod","mk"],["ContDiffWithinAt"],["UniformSpace","toTopologicalSpace"],["Membership","mem"],["ENat"],["Fin"],["WithTop","natCast"],["WithTop"],["NormedAddCommGroup","toAddCommGroup"],["NontriviallyNormedField","toNormedField"],["NontriviallyNormedField"],["NormedField","toField"],["NormedSpace"],["Prod","normedAddCommGroup"],["NormedAddCommGroup"],["Semifield","toDivisionSemiring"],["Eq"],["Preorder","toLE"],["NormedAddCommGroup","toENormedAddCommMonoid"],["ENat","instNatCast"],["NormedSpace","toModule"],["ContinuousMultilinearMap","prod"],["Set"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["UniqueDiffOn"],["Set","instMembership"],["Prod"],["Nat"],["WithTop","instPreorder"],["iteratedFDerivWithin"],["instPreorderENat"],["LE","le"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["Field","toSemifield"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["Prod","normedSpace"]],"valueReferences":[["Eq","trans"],["PseudoMetricSpace","toUniformSpace"],["Prod","mk"],["Fin"],["NormedAddCommGroup","toAddCommGroup"],["Prod","instAddCommMonoid"],["ContDiffWithinAt","prodMk"],["Semiring","toNonAssocSemiring"],["congrFun"],["RingHom","id"],["Prod","normedAddCommGroup"],["Eq","symm"],["ContinuousMultilinearMap","prod_ext"],["Semifield","toDivisionSemiring"],["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["ContinuousMultilinearMap","prod"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["Prod"],["ContinuousLinearMap","funLike"],["iteratedFDerivWithin"],["ContinuousLinearMap","compContinuousMultilinearMap"],["AddCommGroup","toAddCommMonoid"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["id"],["ContinuousLinearMap","compContinuousMultilinearMap_coe"],["Eq","mpr"],["PseudoMetricSpace","toPseudoEMetricSpace"],["UniformSpace","toTopologicalSpace"],["instTopologicalSpaceProd"],["SeminormedAddGroup","toPseudoMetricSpace"],["ContinuousLinearMap","fst"],["DFunLike","coe"],["NontriviallyNormedField","toNormedField"],["ContinuousLinearMap"],["congrArg"],["PseudoEMetricSpace","toUniformSpace"],["ContinuousMultilinearMap","ext"],["NormedField","toField"],["Prod","instModule"],["Eq"],["True"],["ContinuousLinearMap","iteratedFDerivWithin_comp_left"],["ContinuousLinearMap","snd"],["Function","comp"],["SeminormedAddCommGroup","toSeminormedAddGroup"],["eq_self"],["of_eq_true"],["Field","toSemifield"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["Prod","normedSpace"],["ContinuousMultilinearMap","funLike"]]},{"isProp":true,"kind":"theorem","name":["LinearIsometryEquiv","contDiff"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.16)] {n : WithTop.{0} ENat} (f : LinearIsometryEquiv.{u_1, u_1, u_2, u_3} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6)))))) E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.9) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.16) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.19)), ContDiff.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.19 n (DFunLike.coe.{max (succ u_2) (succ u_3), succ u_2, succ u_3} (LinearIsometryEquiv.{u_1, u_1, u_2, u_3} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6)))))) E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.9) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.16) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.19)) E (fun (a._@._internal._hyg.0 : E) => F) (EquivLike.toFunLike.{max (succ u_2) (succ u_3), succ u_2, succ u_3} (LinearIsometryEquiv.{u_1, u_1, u_2, u_3} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6)))))) E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.9) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.16) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.19)) E F (LinearIsometryEquiv.instEquivLike.{u_1, u_1, u_2, u_3} π•œ π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6))))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6))))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6)))))) (RingHomInvPair.ids.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6)))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.9) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.16) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.12) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354823._hygCtx._hyg.19))) f)","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {n : WithTop β„•βˆž}\n (f : E ≃ₗᡒ[π•œ] F), ContDiff π•œ n ⇑f","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {n : WithTop β„•βˆž}\n (f : E ≃ₗᡒ[π•œ] F), ContDiff π•œ n ⇑f","typeReferences":[["NormedSpace","toModule"],["LinearIsometryEquiv","instEquivLike"],["ENat"],["WithTop"],["DivisionSemiring","toSemiring"],["DFunLike","coe"],["NontriviallyNormedField","toNormedField"],["Semiring","toNonAssocSemiring"],["NontriviallyNormedField"],["NormedField","toField"],["NormedSpace"],["RingHom","id"],["ContDiff"],["EquivLike","toFunLike"],["RingHomInvPair","ids"],["Field","toSemifield"],["NormedAddCommGroup"],["LinearIsometryEquiv"],["Semifield","toDivisionSemiring"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["NormedSpace","toModule"],["SeminormedAddCommGroup","toAddCommGroup"],["PseudoMetricSpace","toUniformSpace"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["UniformSpace","toTopologicalSpace"],["DivisionSemiring","toSemiring"],["ContinuousLinearMap","contDiff"],["NontriviallyNormedField","toNormedField"],["LinearIsometryEquiv","toContinuousLinearEquiv"],["NormedField","toField"],["Semiring","toNonAssocSemiring"],["RingHom","id"],["AddCommGroup","toAddCommMonoid"],["Field","toSemifield"],["RingHomInvPair","ids"],["Semifield","toDivisionSemiring"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["ContinuousLinearEquiv","toContinuousLinearMap"]]},{"isProp":true,"kind":"theorem","name":["IsBoundedBilinearMap","contDiff"],"typeFallback":"forall {π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.23)] {b : (Prod.{u_2, u_3} E F) -> G} {n : WithTop.{0} ENat}, (IsBoundedBilinearMap.{u_1, u_2, u_3, u_4} π•œ E F G (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.6))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.9) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.12) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.16) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.19) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.23) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.26) b) -> (ContDiff.{u_1, max u_2 u_3, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.6 (Prod.{u_2, u_3} E F) (Prod.normedAddCommGroup.{u_2, u_3} E F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.16) (Prod.normedSpace.{u_1, u_2, u_3} π•œ E F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.9) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.12 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.19) G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.4292354824._hygCtx._hyg.26 n b)","typeFull":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {b : E Γ— F β†’ G} {n : WithTop β„•βˆž},\n IsBoundedBilinearMap π•œ b β†’ ContDiff π•œ n b","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField π•œ]\n [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F]\n [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace π•œ G] {b : E Γ— F β†’ G} {n : WithTop β„•βˆž},\n IsBoundedBilinearMap π•œ b β†’ ContDiff π•œ n 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{π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3555526247._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3555526247._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3555526247._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3555526247._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3555526247._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3555526247._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3555526247._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.3555526247._hygCtx._hyg.6) 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s","typeReadable":"βˆ€ {π•œ : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField π•œ] [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {n : WithTop β„•βˆž} {c : F}\n {s : Set E}, ContDiffOn π•œ n (fun x => c) s","typeReferences":[["NontriviallyNormedField"],["Set"],["NormedSpace"],["ENat"],["WithTop"],["NormedAddCommGroup"],["ContDiffOn"],["NormedAddCommGroup","toSeminormedAddCommGroup"],["NontriviallyNormedField","toNormedField"]],"valueReferences":[["ContDiff","contDiffOn"],["contDiff_const"]]},{"isProp":true,"kind":"theorem","name":["_private","Mathlib","Analysis","Calculus","ContDiff","Basic",0,"iteratedFDeriv_prodMk","_simp_1_1"],"typeFallback":"forall {π•œ : Type.{u}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3 : NontriviallyNormedField.{u} π•œ] {E : Type.{uE}} 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{π•œ : Type.{u}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3 : NontriviallyNormedField.{u} π•œ] {E : Type.{uE}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7 : NormedAddCommGroup.{uE} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.10 : NormedSpace.{u, uE} π•œ E (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3) (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7)] {F : Type.{uF}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15 : NormedAddCommGroup.{uF} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.18 : NormedSpace.{u, uF} π•œ F (NontriviallyNormedField.toNormedField.{u} π•œ 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inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15) inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.18) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{uE} E (PseudoMetricSpace.toUniformSpace.{uE} E (SeminormedAddCommGroup.toPseudoMetricSpace.{uE} E (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7)))) (UniformSpace.toTopologicalSpace.{uF} F (PseudoMetricSpace.toUniformSpace.{uF} F (SeminormedAddCommGroup.toPseudoMetricSpace.{uF} F (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15)))))) (iteratedFDeriv.{u, uE, uF} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3 E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.10 F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.18 n f) (iteratedFDerivWithin.{u, uE, uF} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3 E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.10 F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.18 n f (Set.univ.{uE} E))","typeFull":"βˆ€ {π•œ : Type u} [inst : NontriviallyNormedField π•œ] {E : Type uE} [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {F : Type uF} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F}\n {n : β„•}, iteratedFDeriv π•œ n f = iteratedFDerivWithin π•œ n f Set.univ","typeReadable":"βˆ€ {π•œ : Type u} [inst : NontriviallyNormedField π•œ] {E : Type uE} [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {F : Type uF} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F}\n {n : β„•}, iteratedFDeriv π•œ n f = iteratedFDerivWithin π•œ n f Set.univ","typeReferences":[["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["PseudoMetricSpace","toUniformSpace"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["UniformSpace","toTopologicalSpace"],["Fin"],["iteratedFDeriv"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["NontriviallyNormedField","toNormedField"],["Set","univ"],["Nat"],["NontriviallyNormedField"],["NormedField","toField"],["iteratedFDerivWithin"],["NormedSpace"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["Field","toSemifield"],["NormedAddCommGroup"],["Semifield","toDivisionSemiring"],["Eq"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"]],"valueReferences":[["NormedAddCommGroup","toENormedAddCommMonoid"],["NormedSpace","toModule"],["PseudoMetricSpace","toUniformSpace"],["SeminormedAddCommGroup","toPseudoMetricSpace"],["UniformSpace","toTopologicalSpace"],["Fin"],["iteratedFDeriv"],["DivisionSemiring","toSemiring"],["ContinuousMultilinearMap"],["NontriviallyNormedField","toNormedField"],["Set","univ"],["NormedField","toField"],["iteratedFDerivWithin"],["iteratedFDerivWithin_univ"],["ENormedAddCommMonoid","toESeminormedAddCommMonoid"],["Eq","symm"],["Field","toSemifield"],["Semifield","toDivisionSemiring"],["ESeminormedAddCommMonoid","toAddCommMonoid"],["NormedAddCommGroup","toSeminormedAddCommGroup"]]},{"isProp":true,"kind":"theorem","name":["_private","Mathlib","Analysis","Calculus","ContDiff","Basic",0,"LinearIsometryEquiv","norm_iteratedFDeriv_comp_right","_simp_1_1"],"typeFallback":"forall {π•œ : Type.{u}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3 : NontriviallyNormedField.{u} π•œ] {E : Type.{uE}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7 : NormedAddCommGroup.{uE} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.10 : NormedSpace.{u, uE} π•œ E (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3) (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7)] {F : Type.{uF}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15 : NormedAddCommGroup.{uF} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.18 : NormedSpace.{u, uF} π•œ F (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3) (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15)] {f : E -> F} {n : Nat}, Eq.{max (succ uE) (succ uF)} (E -> (ContinuousMultilinearMap.{u, 0, uE, uF} π•œ (Fin n) (fun (i._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.3253246168._hygCtx._hyg.62 : Fin n) => E) F (DivisionSemiring.toSemiring.{u} π•œ (Semifield.toDivisionSemiring.{u} π•œ (Field.toSemifield.{u} π•œ (NormedField.toField.{u} π•œ (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3))))) (fun (i : Fin n) => ESeminormedAddCommMonoid.toAddCommMonoid.{uE} E (UniformSpace.toTopologicalSpace.{uE} E (PseudoMetricSpace.toUniformSpace.{uE} E (SeminormedAddCommGroup.toPseudoMetricSpace.{uE} E (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{uE} E (UniformSpace.toTopologicalSpace.{uE} E (PseudoMetricSpace.toUniformSpace.{uE} E (SeminormedAddCommGroup.toPseudoMetricSpace.{uE} E (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7)))) (NormedAddCommGroup.toENormedAddCommMonoid.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7))) (ESeminormedAddCommMonoid.toAddCommMonoid.{uF} F (UniformSpace.toTopologicalSpace.{uF} F (PseudoMetricSpace.toUniformSpace.{uF} F (SeminormedAddCommGroup.toPseudoMetricSpace.{uF} F (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{uF} F (UniformSpace.toTopologicalSpace.{uF} F (PseudoMetricSpace.toUniformSpace.{uF} F (SeminormedAddCommGroup.toPseudoMetricSpace.{uF} F (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15)))) (NormedAddCommGroup.toENormedAddCommMonoid.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15))) (fun (i : Fin n) => NormedSpace.toModule.{u, uE} π•œ E (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3) (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7) inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.10) (NormedSpace.toModule.{u, uF} π•œ F (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3) (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15) inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.18) (fun (i : Fin n) => UniformSpace.toTopologicalSpace.{uE} E (PseudoMetricSpace.toUniformSpace.{uE} E (SeminormedAddCommGroup.toPseudoMetricSpace.{uE} E (NormedAddCommGroup.toSeminormedAddCommGroup.{uE} E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7)))) (UniformSpace.toTopologicalSpace.{uF} F (PseudoMetricSpace.toUniformSpace.{uF} F (SeminormedAddCommGroup.toPseudoMetricSpace.{uF} F (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15)))))) (iteratedFDeriv.{u, uE, uF} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3 E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.10 F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.18 n f) (iteratedFDerivWithin.{u, uE, uF} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.3 E inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.7 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.10 F inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.15 inst._@.Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries.1411717452._hygCtx._hyg.18 n f (Set.univ.{uE} E))","typeFull":"βˆ€ {π•œ : Type u} [inst : NontriviallyNormedField π•œ] {E : Type uE} [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {F : Type uF} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F}\n {n : β„•}, iteratedFDeriv π•œ n f = iteratedFDerivWithin π•œ n f Set.univ","typeReadable":"βˆ€ {π•œ : Type u} [inst : NontriviallyNormedField π•œ] {E : Type uE} [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {F : Type uF} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F}\n {n : β„•}, iteratedFDeriv π•œ n f = iteratedFDerivWithin π•œ n f 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{π•œ : Type.{u_1}} {E : Type.{u_2}} {F : Type.{u_3}} {G : Type.{u_4}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6 : NontriviallyNormedField.{u_1} π•œ] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9 : NormedAddCommGroup.{u_2} E] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.12 : NormedSpace.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16 : NormedAddCommGroup.{u_3} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.19 : NormedSpace.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16)] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.23 : NormedAddCommGroup.{u_4} G] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.26 : NormedSpace.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.23)] {s : Set.{u_2} E} {f : E -> F} {p : E -> (FormalMultilinearSeries.{u_1, u_2, u_3} π•œ E F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.12) (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9)))) (IsTopologicalAddGroup.toContinuousAdd.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9)))) (NormedAddGroup.toAddGroup.{u_2} E (NormedAddCommGroup.toNormedAddGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_2} π•œ E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9)))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9)))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.12))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_2} π•œ E (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_2} E (SubNegZeroMonoid.toNegZeroClass.{u_2} E (SubtractionMonoid.toSubNegZeroMonoid.{u_2} E (SubtractionCommMonoid.toSubtractionMonoid.{u_2} E (AddCommGroup.toDivisionAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9)))))) (SMulZeroClass.toSMul.{u_1, u_2} π•œ E (AddZero.toZero.{u_2} E (AddZeroClass.toAddZero.{u_2} E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9)))))) (DistribSMul.toSMulZeroClass.{u_1, u_2} π•œ E (AddMonoid.toAddZeroClass.{u_2} E (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9)))) (DistribMulAction.toDistribSMul.{u_1, u_2} π•œ E (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_2} E (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9))) (Module.toDistribMulAction.{u_1, u_2} π•œ E (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_2} E (NormedAddCommGroup.toAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9)) (NormedSpace.toModule.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.12))))) (NormedSpace.toIsBoundedSMul.{u_1, u_2} π•œ E (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.12))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.19) (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16)))) (IsTopologicalAddGroup.toContinuousAdd.{u_3} F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16)))) (NormedAddGroup.toAddGroup.{u_3} F (NormedAddCommGroup.toNormedAddGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16)) (SeminormedAddCommGroup.toIsTopologicalAddGroup.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16))) (UniformContinuousConstSMul.to_continuousConstSMul.{u_1, u_3} π•œ F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16)))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16)))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.19))))) (IsBoundedSMul.toUniformContinuousConstSMul.{u_1, u_3} π•œ F (SeminormedRing.toPseudoMetricSpace.{u_1} π•œ (SeminormedCommRing.toSeminormedRing.{u_1} π•œ (NormedCommRing.toSeminormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16)) (MulZeroClass.toZero.{u_1} π•œ (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} π•œ (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u_1} π•œ (NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing.{u_1} π•œ (NonUnitalCommRing.toNonUnitalNonAssocCommRing.{u_1} π•œ (NonUnitalNormedCommRing.toNonUnitalCommRing.{u_1} π•œ (NormedCommRing.toNonUnitalNormedCommRing.{u_1} π•œ (NormedField.toNormedCommRing.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6))))))))) (NegZeroClass.toZero.{u_3} F (SubNegZeroMonoid.toNegZeroClass.{u_3} F (SubtractionMonoid.toSubNegZeroMonoid.{u_3} F (SubtractionCommMonoid.toSubtractionMonoid.{u_3} F (AddCommGroup.toDivisionAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16)))))) (SMulZeroClass.toSMul.{u_1, u_3} π•œ F (AddZero.toZero.{u_3} F (AddZeroClass.toAddZero.{u_3} F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16)))))) (DistribSMul.toSMulZeroClass.{u_1, u_3} π•œ F (AddMonoid.toAddZeroClass.{u_3} F (AddCommMonoid.toAddMonoid.{u_3} F (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16)))) (DistribMulAction.toDistribSMul.{u_1, u_3} π•œ F (MonoidWithZero.toMonoid.{u_1} π•œ (Semiring.toMonoidWithZero.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6))))))) (AddCommMonoid.toAddMonoid.{u_3} F (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16))) (Module.toDistribMulAction.{u_1, u_3} π•œ F (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6))))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.19))))) (NormedSpace.toIsBoundedSMul.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.19))))} {n : WithTop.{0} ENat} (g : ContinuousLinearMap.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6))))))) F (UniformSpace.toTopologicalSpace.{u_3} F (PseudoMetricSpace.toUniformSpace.{u_3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u_3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16)))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16)) G (UniformSpace.toTopologicalSpace.{u_4} G (PseudoMetricSpace.toUniformSpace.{u_4} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u_4} G (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.23)))) (AddCommGroup.toAddCommMonoid.{u_4} G (NormedAddCommGroup.toAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.23)) (NormedSpace.toModule.{u_1, u_3} π•œ F (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.19) (NormedSpace.toModule.{u_1, u_4} π•œ G (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_4} G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.23) inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.26)), (HasFTaylorSeriesUpToOn.{u_1, u_2, u_3} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.12 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.19 n f p s) -> (HasFTaylorSeriesUpToOn.{u_1, u_2, u_4} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.12 G inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.23 inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.26 n (Function.comp.{succ u_2, succ u_3, succ u_4} E F G (DFunLike.coe.{max (succ u_3) (succ u_4), succ u_3, succ u_4} (ContinuousLinearMap.{u_1, u_1, u_3, u_4} π•œ π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6))))) (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ (NontriviallyNormedField.toNormedField.{u_1} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.6))))) (RingHom.id.{u_1} π•œ (Semiring.toNonAssocSemiring.{u_1} π•œ (DivisionSemiring.toSemiring.{u_1} π•œ (Semifield.toDivisionSemiring.{u_1} π•œ (Field.toSemifield.{u_1} π•œ (NormedField.toField.{u_1} π•œ 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ESeminormedAddCommMonoid.toAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9)))) (ENormedAddCommMonoid.toESeminormedAddCommMonoid.{u_2} E (UniformSpace.toTopologicalSpace.{u_2} E (PseudoMetricSpace.toUniformSpace.{u_2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u_2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9)))) (NormedAddCommGroup.toENormedAddCommMonoid.{u_2} E inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.9))) (AddCommGroup.toAddCommMonoid.{u_3} F (NormedAddCommGroup.toAddCommGroup.{u_3} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Basic.238217854._hygCtx._hyg.16)) (AddCommGroup.toAddCommMonoid.{u_4} G 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Type.{uF}} [inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.1900037596._hygCtx._hyg.15 : NormedAddCommGroup.{uF} F] [inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.1900037596._hygCtx._hyg.18 : NormedSpace.{u, uF} π•œ F (NontriviallyNormedField.toNormedField.{u} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.1900037596._hygCtx._hyg.3) (NormedAddCommGroup.toSeminormedAddCommGroup.{uF} F inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.1900037596._hygCtx._hyg.15)] {f : E -> F} {x : E} {n : WithTop.{0} ENat}, Eq.{1} Prop (ContDiffAt.{u, uE, uF} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.1900037596._hygCtx._hyg.3 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.1900037596._hygCtx._hyg.7 inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.1900037596._hygCtx._hyg.10 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.1900037596._hygCtx._hyg.15 inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.1900037596._hygCtx._hyg.18 n f x) (ContDiffWithinAt.{u, uE, uF} π•œ inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.1900037596._hygCtx._hyg.3 E inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.1900037596._hygCtx._hyg.7 inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.1900037596._hygCtx._hyg.10 F inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.1900037596._hygCtx._hyg.15 inst._@.Mathlib.Analysis.Calculus.ContDiff.Defs.1900037596._hygCtx._hyg.18 n f (Set.univ.{uE} E) x)","typeFull":"βˆ€ {π•œ : Type u} [inst : NontriviallyNormedField π•œ] {E : Type uE} [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {F : Type uF} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F}\n {x : E} {n : WithTop β„•βˆž}, ContDiffAt π•œ n f x = ContDiffWithinAt π•œ n f Set.univ x","typeReadable":"βˆ€ {π•œ : Type u} [inst : NontriviallyNormedField π•œ] {E : Type uE} [inst_1 : NormedAddCommGroup E]\n [inst_2 : NormedSpace π•œ E] {F : Type uF} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F}\n {x : E} {n : WithTop 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