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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.AffineMonoid.Irreducible.sym.json

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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.Algebra.Field.sym.json

@@ -0,0 +1 @@
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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.Category.ModuleCat.Ext.HasExt.sym.json

@@ -0,0 +1 @@
+[{"isProp":true,"kind":"theorem","name":["instHasExtModuleCatOfSmall"],"typeFallback":"forall (R : Type.{u}) [inst._@.Mathlib.Algebra.Category.ModuleCat.Ext.HasExt.1882943239._hygCtx._hyg.3 : Ring.{u} R] [inst._@.Mathlib.Algebra.Category.ModuleCat.Ext.HasExt.1882943239._hygCtx._hyg.6 : Small.{v, u} R], CategoryTheory.HasExt.{v, v, max (succ v) u} (ModuleCat.{v, u} R inst._@.Mathlib.Algebra.Category.ModuleCat.Ext.HasExt.1882943239._hygCtx._hyg.3) (ModuleCat.moduleCategory.{v, u} R inst._@.Mathlib.Algebra.Category.ModuleCat.Ext.HasExt.1882943239._hygCtx._hyg.3) (ModuleCat.abelian.{v, u} R inst._@.Mathlib.Algebra.Category.ModuleCat.Ext.HasExt.1882943239._hygCtx._hyg.3)","typeFull":"∀ (R : Type u) [inst : Ring R] [Small.{v, u} R], CategoryTheory.HasExt (ModuleCat R)","typeReadable":"∀ (R : Type u) [inst : Ring R] [Small.{v, u} R], CategoryTheory.HasExt (ModuleCat R)","typeReferences":[["Small"],["ModuleCat","moduleCategory"],["ModuleCat","abelian"],["CategoryTheory","HasExt"],["ModuleCat"],["Ring"]],"valueReferences":[["ModuleCat","enoughProjectives"],["UnivLE","self"],["CategoryTheory","hasExt_of_enoughProjectives"],["ModuleCat","moduleCategory"],["ModuleCat","abelian"],["CategoryTheory","locallySmall_of_univLE"],["ModuleCat"]]}]

data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.ContinuedFractions.Translations.sym.json

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with\n    | 0 => { a := 1, b := 0 }\n    | 1 => { a := g.h, b := 1 }\n    | n.succ.succ =>\n      match g.s.get? n with\n      | none => g.contsAux (n + 1)\n      | some gp => GenContFract.nextConts gp.a gp.b (g.contsAux n) (g.contsAux (n + 1))","typeReadable":"∀ {K : Type u_2} [inst : DivisionRing K] (g : GenContFract K) (x : ℕ),\n  g.contsAux x =\n    match x with\n    | 0 => { a := 1, b := 0 }\n    | 1 => { a := g.h, b := 1 }\n    | n.succ.succ =>\n      match g.s.get? n with\n      | none => g.contsAux (n + 1)\n      | some gp => GenContFract.nextConts gp.a gp.b (g.contsAux n) (g.contsAux (n + 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: Unit → motive 0) (h_2 : Unit → motive 1) (h_3 : (n : ℕ) → motive n.succ.succ),\n  (match 0 with\n    | 0 => h_1 ()\n    | 1 => h_2 ()\n    | n.succ.succ => h_3 n) =\n    h_1 ()","typeReferences":[["Nat"],["Nat","succ"],["instOfNatNat"],["Eq"],["Unit","unit"],["GenContFract","contsAux","match_3"],["OfNat","ofNat"],["Unit"]],"valueReferences":[["Nat"],["instOfNatNat"],["Eq","refl"],["GenContFract","contsAux","match_3"],["OfNat","ofNat"]]},{"isProp":true,"kind":"theorem","name":["GenContFract","convs'Aux","eq_1"],"typeFallback":"forall {K : Type.{u_2}} [inst._@.Mathlib.Algebra.ContinuedFractions.Basic.490387607._hygCtx._hyg.4 : DivisionRing.{u_2} K] (x._@.Mathlib.Algebra.ContinuedFractions.Basic.490387607._hygCtx._hyg.18 : Stream'.Seq.{u_2} (GenContFract.Pair.{u_2} K)), Eq.{succ u_2} K (GenContFract.convs'Aux.{u_2} K inst._@.Mathlib.Algebra.ContinuedFractions.Basic.490387607._hygCtx._hyg.4 x._@.Mathlib.Algebra.ContinuedFractions.Basic.490387607._hygCtx._hyg.18 (OfNat.ofNat.{0} Nat 0 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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.GCDMonoid.IntegrallyClosed.sym.json

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x._@.Mathlib.Algebra.GCDMonoid.IntegrallyClosed.1000891375._hygCtx.31.Mathlib.Algebra.GCDMonoid.IntegrallyClosed.1000891375._hygCtx._hyg.40)","typeFull":"∀ {R : Type u_1} [inst : CommRing R] {X : FractionRing R} (motive : IsIntegral R X → Prop) (x : IsIntegral R X),\n  (∀ (p : Polynomial R) (hp₁ : p.Monic) (hp₂ : Polynomial.eval₂ (algebraMap R (FractionRing R)) X p = 0), motive ⋯) →\n    motive x","typeReadable":"∀ {R : Type u_1} [inst : CommRing R] {X : FractionRing R} (motive : IsIntegral R X → Prop) (x : IsIntegral R X),\n  (∀ (p : Polynomial R) (hp₁ : p.Monic) (hp₂ : Polynomial.eval₂ (algebraMap R (FractionRing R)) X p = 0), motive ⋯) →\n    motive 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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.Group.Hom.CompTypeclasses.sym.json

@@ -0,0 +1 @@
+[{"isProp":false,"kind":"inductive","name":["MonoidHom","CompTriple"],"typeFallback":"forall {M : Type.{u_1}} {N : Type.{u_2}} {P : Type.{u_3}} [inst._@.Mathlib.Algebra.Group.Hom.CompTypeclasses.2437035763._hygCtx._hyg.5 : Monoid.{u_1} M] [inst._@.Mathlib.Algebra.Group.Hom.CompTypeclasses.2437035763._hygCtx._hyg.8 : Monoid.{u_2} N] [inst._@.Mathlib.Algebra.Group.Hom.CompTypeclasses.2437035763._hygCtx._hyg.11 : Monoid.{u_3} P], (MonoidHom.{u_1, u_2} M N (MulOneClass.toMulOne.{u_1} M (Monoid.toMulOneClass.{u_1} M inst._@.Mathlib.Algebra.Group.Hom.CompTypeclasses.2437035763._hygCtx._hyg.5)) (MulOneClass.toMulOne.{u_2} N (Monoid.toMulOneClass.{u_2} N inst._@.Mathlib.Algebra.Group.Hom.CompTypeclasses.2437035763._hygCtx._hyg.8))) -> (MonoidHom.{u_2, u_3} N P (MulOneClass.toMulOne.{u_2} N (Monoid.toMulOneClass.{u_2} N inst._@.Mathlib.Algebra.Group.Hom.CompTypeclasses.2437035763._hygCtx._hyg.8)) (MulOneClass.toMulOne.{u_3} P (Monoid.toMulOneClass.{u_3} P 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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.Group.Nat.Units.sym.json

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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.Group.Support.sym.json

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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.Homology.HomotopyCategory.HomologicalFunctor.sym.json

@@ -0,0 +1 @@
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x1._@.Mathlib.Algebra.Order.Monoid.Unbundled.Defs.574338266._hygCtx._hyg.26 x2._@.Mathlib.Algebra.Order.Monoid.Unbundled.Defs.574338266._hygCtx._hyg.26) Int.instLinearOrder Int.instAddLeftMono)))) (AddMonoidWithOne.toOne.{0} Int (AddGroupWithOne.toAddMonoidWithOne.{0} Int (Ring.toAddGroupWithOne.{0} Int Int.instRing)))) (CategoryTheory.categoryWithHomology_of_abelian.{v_1, u_1} C inst._@.Mathlib.Algebra.Homology.HomotopyCategory.HomologicalFunctor.3202491407._hygCtx._hyg.3 inst._@.Mathlib.Algebra.Homology.HomotopyCategory.HomologicalFunctor.3202491407._hygCtx._hyg.6) n) (HomotopyCategory.instHasZeroObject.{v_1, u_1, 0} Int C inst._@.Mathlib.Algebra.Homology.HomotopyCategory.HomologicalFunctor.3202491407._hygCtx._hyg.3 (CategoryTheory.Abelian.toPreadditive.{v_1, u_1} C inst._@.Mathlib.Algebra.Homology.HomotopyCategory.HomologicalFunctor.3202491407._hygCtx._hyg.3 inst._@.Mathlib.Algebra.Homology.HomotopyCategory.HomologicalFunctor.3202491407._hygCtx._hyg.6) (ComplexShape.up.{0} Int 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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.Module.LocalizedModule.AtPrime.sym.json

@@ -0,0 +1 @@
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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.Order.Monoid.Associated.sym.json

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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.Polynomial.SpecificDegree.sym.json

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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.Ring.CharZero.sym.json

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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.Ring.Subring.Order.sym.json

@@ -0,0 +1 @@
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[inst._@.Mathlib.Algebra.Ring.Subring.Order.2417293051._hygCtx._hyg.7 : PartialOrder.{u_1} R] [inst._@.Mathlib.Algebra.Ring.Subring.Order.2417293051._hygCtx._hyg.10 : SetLike.{u_2, u_1} S R] [inst._@.Mathlib.Algebra.Ring.Subring.Order.2417293051._hygCtx._hyg.14 : SubringClass.{u_1, u_2} S R (Ring.toNonAssocRing.{u_1} R inst._@.Mathlib.Algebra.Ring.Subring.Order.2417293051._hygCtx._hyg.4) inst._@.Mathlib.Algebra.Ring.Subring.Order.2417293051._hygCtx._hyg.10] [inst._@.Mathlib.Algebra.Ring.Subring.Order.2417293051._hygCtx._hyg.18 : IsOrderedRing.{u_1} R (Ring.toSemiring.{u_1} R inst._@.Mathlib.Algebra.Ring.Subring.Order.2417293051._hygCtx._hyg.4) inst._@.Mathlib.Algebra.Ring.Subring.Order.2417293051._hygCtx._hyg.7] (s : S), IsOrderedRing.{u_1} (Subtype.{succ u_1} R (fun (x : R) => Membership.mem.{u_1, u_2} R S (SetLike.instMembership.{u_2, u_1} S R inst._@.Mathlib.Algebra.Ring.Subring.Order.2417293051._hygCtx._hyg.10) s x)) (Ring.toSemiring.{u_1} (Subtype.{succ u_1} R (fun (x : R) => 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{R : Type.{u_1}} {S : Type.{u_2}} [inst._@.Mathlib.Algebra.Ring.Subring.Order.4100499610._hygCtx._hyg.4 : Ring.{u_1} R] [inst._@.Mathlib.Algebra.Ring.Subring.Order.4100499610._hygCtx._hyg.7 : PartialOrder.{u_1} R] [inst._@.Mathlib.Algebra.Ring.Subring.Order.4100499610._hygCtx._hyg.10 : SetLike.{u_2, u_1} S R] [inst._@.Mathlib.Algebra.Ring.Subring.Order.4100499610._hygCtx._hyg.14 : SubringClass.{u_1, u_2} S R (Ring.toNonAssocRing.{u_1} R inst._@.Mathlib.Algebra.Ring.Subring.Order.4100499610._hygCtx._hyg.4) inst._@.Mathlib.Algebra.Ring.Subring.Order.4100499610._hygCtx._hyg.10] [inst._@.Mathlib.Algebra.Ring.Subring.Order.4100499610._hygCtx._hyg.18 : IsStrictOrderedRing.{u_1} R (Ring.toSemiring.{u_1} R inst._@.Mathlib.Algebra.Ring.Subring.Order.4100499610._hygCtx._hyg.4) inst._@.Mathlib.Algebra.Ring.Subring.Order.4100499610._hygCtx._hyg.7] (s : S), IsStrictOrderedRing.{u_1} (Subtype.{succ u_1} R (fun (x : R) => Membership.mem.{u_1, u_2} R S (SetLike.instMembership.{u_2, u_1} S R 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