Add files using upload-large-folder tool

.gitattributes

@@ -292,3 +292,16 @@ data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.LinearAlgebra.CliffordAlge
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 data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Geometry.Euclidean.Projection.sym.json filter=lfs diff=lfs merge=lfs -text
 data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.CategoryTheory.Bicategory.Functor.Lax.sym.json filter=lfs diff=lfs merge=lfs -text
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+data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.RingTheory.Etale.StandardEtale.sym.json filter=lfs diff=lfs merge=lfs -text
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+data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.RingTheory.AdicCompletion.Algebra.sym.json filter=lfs diff=lfs merge=lfs -text

data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.BigOperators.Group.List.Defs.sym.json

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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.Category.ModuleCat.Presheaf.Abelian.sym.json

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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.CharP.Algebra.sym.json

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NonAssocSemiring.{u_1} R] [inst._@.Mathlib.Algebra.CharP.Algebra.601635841._hygCtx._hyg.7 : NoZeroDivisors.{u_1} R (Distrib.toMul.{u_1} R (NonUnitalNonAssocSemiring.toDistrib.{u_1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_1} R inst._@.Mathlib.Algebra.CharP.Algebra.601635841._hygCtx._hyg.4))) (MulZeroClass.toZero.{u_1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u_1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_1} R inst._@.Mathlib.Algebra.CharP.Algebra.601635841._hygCtx._hyg.4)))] [inst._@.Mathlib.Algebra.CharP.Algebra.601635841._hygCtx._hyg.10 : NonAssocSemiring.{u_2} A] [inst._@.Mathlib.Algebra.CharP.Algebra.601635841._hygCtx._hyg.13 : Nontrivial.{u_2} A], (RingHom.{u_1, u_2} R A inst._@.Mathlib.Algebra.CharP.Algebra.601635841._hygCtx._hyg.4 inst._@.Mathlib.Algebra.CharP.Algebra.601635841._hygCtx._hyg.10) -> (forall (p : Nat), (Ne.{1} Nat p (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) -> (forall [inst._@.Mathlib.Algebra.CharP.Algebra.601635841._hygCtx._hyg.29 : 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R)","typeReferences":[["CommRing","toCommSemiring"],["FractionRing"],["OreLocalization","oreSetComm"],["CommSemiring","toSemiring"],["AddGroupWithOne","toAddMonoidWithOne"],["Semiring","toMonoidWithZero"],["IsDomain"],["OreLocalization","instRing"],["CommRing"],["CommRing","toCommMonoid"],["CommRing","toRing"],["Ring","toAddGroupWithOne"],["nonZeroDivisors"],["CharZero"]],"valueReferences":[["CommRing","toCommSemiring"],["OreLocalization","instAlgebra"],["FractionRing"],["OreLocalization","oreSetComm"],["CommSemiring","toSemiring"],["nonZeroDivisors"],["Semiring","toMonoidWithZero"],["Localization","isLocalization"],["FractionRing","field"],["IsFractionRing","charZero_of_isFractionRing"],["Algebra","id"],["CommRing","toCommMonoid"]]},{"isProp":true,"kind":"theorem","name":["charZero_of_injective_algebraMap"],"typeFallback":"forall {R : Type.{u_1}} {A : Type.{u_2}} [inst._@.Mathlib.Algebra.CharP.Algebra.3734557195._hygCtx._hyg.4 : CommSemiring.{u_1} R] 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[inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A],\n  Function.Injective ⇑(algebraMap R A) → ∀ (p : ℕ) [CharP R p], CharP A p","typeReadable":"∀ {R : Type u_1} {A : Type u_2} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A],\n  Function.Injective ⇑(algebraMap R A) → ∀ (p : ℕ) [CharP R p], CharP A p","typeReferences":[["RingHom"],["CharP"],["CommSemiring"],["CommSemiring","toSemiring"],["RingHom","instFunLike"],["DFunLike","coe"],["Algebra"],["Nat"],["Semiring","toNonAssocSemiring"],["AddCommMonoidWithOne","toAddMonoidWithOne"],["NonAssocSemiring","toAddCommMonoidWithOne"],["Semiring"],["Function","Injective"],["algebraMap"]],"valueReferences":[["Semiring","toNonAssocSemiring"],["CommSemiring","toSemiring"],["charP_of_injective_ringHom"],["algebraMap"]]},{"isProp":true,"kind":"theorem","name":["IsFractionRing","charP_of_isFractionRing"],"typeFallback":"forall (R : Type.{u_3}) {K : Type.{u_4}} 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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.sym.json

@@ -0,0 +1 @@
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{K : Type.{u_1}} [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3702528002._hygCtx._hyg.3 : Field.{u_1} K] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3702528002._hygCtx._hyg.6 : LinearOrder.{u_1} K] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3702528002._hygCtx._hyg.9 : IsStrictOrderedRing.{u_1} K (DivisionSemiring.toSemiring.{u_1} K (Semifield.toDivisionSemiring.{u_1} K (Field.toSemifield.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3702528002._hygCtx._hyg.3))) (SemilatticeInf.toPartialOrder.{u_1} K (Lattice.toSemilatticeInf.{u_1} K (DistribLattice.toLattice.{u_1} K (instDistribLatticeOfLinearOrder.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3702528002._hygCtx._hyg.6))))] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3702528002._hygCtx._hyg.12 : FloorRing.{u_1} K (DivisionRing.toRing.{u_1} K 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(Lattice.toSemilatticeInf.{u_1} K (DistribLattice.toLattice.{u_1} K (instDistribLatticeOfLinearOrder.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.1353123749._hygCtx._hyg.6))))] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.1353123749._hygCtx._hyg.12 : FloorRing.{u_1} K (DivisionRing.toRing.{u_1} K (Field.toDivisionRing.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.1353123749._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.1353123749._hygCtx._hyg.6] {v : K} {q : Rat}, (Eq.{succ u_1} K v (Rat.cast.{u_1} K (DivisionRing.toRatCast.{u_1} K (Field.toDivisionRing.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.1353123749._hygCtx._hyg.3)) q)) -> (Eq.{succ u_1} K (Rat.cast.{u_1} K (DivisionRing.toRatCast.{u_1} K (Field.toDivisionRing.{u_1} K 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v).h","typeReferences":[["IsStrictOrderedRing"],["Lattice","toSemilatticeInf"],["GenContFract","h"],["Field"],["DivisionRing","toRing"],["LinearOrder"],["Field","toDivisionRing"],["DivisionSemiring","toSemiring"],["DivisionRing","toRatCast"],["instDistribLatticeOfLinearOrder"],["DistribLattice","toLattice"],["Rat","cast"],["GenContFract","of"],["Rat"],["Field","toSemifield"],["Semifield","toDivisionSemiring"],["Eq"],["Rat","instFloorRing"],["Rat","linearOrder"],["FloorRing"],["Rat","instDivisionRing"],["SemilatticeInf","toPartialOrder"]],"valueReferences":[["Eq","trans"],["GenContFract","h"],["Int","cast"],["congrArg"],["Ring","toAddGroupWithOne"],["congr"],["Rat","cast"],["Int","floor"],["GenContFract","of"],["Eq"],["Rat","linearOrder"],["True"],["GenContFract","of_h_eq_floor"],["Rat","floor_cast"],["DivisionRing","toRing"],["Field","toDivisionRing"],["GenContFract"],["Rat","cast_intCast"],["Int"],["DivisionRing","toRatCast"],["eq_self"],["of_eq_true"],["Rat"],["AddGroupWithOne","toIntCast"],["Rat","instFloorRing"],["Rat","instDivisionRing"]]},{"isProp":true,"kind":"theorem","name":["GenContFract","exists_rat_eq_of_terminates"],"typeFallback":"forall {K : Type.{u_1}} [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3532542358._hygCtx._hyg.3 : Field.{u_1} K] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3532542358._hygCtx._hyg.6 : LinearOrder.{u_1} K] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3532542358._hygCtx._hyg.9 : IsStrictOrderedRing.{u_1} K (DivisionSemiring.toSemiring.{u_1} K (Semifield.toDivisionSemiring.{u_1} K (Field.toSemifield.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3532542358._hygCtx._hyg.3))) (SemilatticeInf.toPartialOrder.{u_1} K (Lattice.toSemilatticeInf.{u_1} K (DistribLattice.toLattice.{u_1} K (instDistribLatticeOfLinearOrder.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3532542358._hygCtx._hyg.6))))] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3532542358._hygCtx._hyg.12 : FloorRing.{u_1} K (DivisionRing.toRing.{u_1} K (Field.toDivisionRing.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3532542358._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3532542358._hygCtx._hyg.6] {v : K}, (GenContFract.Terminates.{u_1} K (GenContFract.of.{u_1} K (Field.toDivisionRing.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3532542358._hygCtx._hyg.3) inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3532542358._hygCtx._hyg.6 inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3532542358._hygCtx._hyg.12 v)) -> (Exists.{1} Rat (fun (q : Rat) => Eq.{succ u_1} K v (Rat.cast.{u_1} K (DivisionRing.toRatCast.{u_1} K (Field.toDivisionRing.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3532542358._hygCtx._hyg.3)) q)))","typeFull":"∀ {K : Type u_1} [inst : Field K] [inst_1 : LinearOrder K] [IsStrictOrderedRing K] [inst_3 : FloorRing K] {v : K},\n  (GenContFract.of v).Terminates → ∃ q, v = ↑q","typeReadable":"∀ {K : Type u_1} [inst : Field K] [inst_1 : LinearOrder K] [IsStrictOrderedRing K] [inst_3 : FloorRing K] {v : K},\n  (GenContFract.of v).Terminates → ∃ q, v = ↑q","typeReferences":[["Exists"],["IsStrictOrderedRing"],["Lattice","toSemilatticeInf"],["Field"],["DivisionRing","toRing"],["LinearOrder"],["Field","toDivisionRing"],["DivisionSemiring","toSemiring"],["GenContFract","Terminates"],["DivisionRing","toRatCast"],["instDistribLatticeOfLinearOrder"],["DistribLattice","toLattice"],["Rat","cast"],["Rat"],["GenContFract","of"],["Field","toSemifield"],["Semifield","toDivisionSemiring"],["Eq"],["FloorRing"],["SemilatticeInf","toPartialOrder"]],"valueReferences":[["Exists"],["Eq","trans"],["Exists","intro"],["Field","toDivisionRing"],["Exists","casesOn"],["DivisionRing","toRatCast"],["Nat"],["GenContFract","exists_rat_eq_nth_conv"],["Rat","cast"],["GenContFract","convs"],["GenContFract","of"],["Rat"],["Eq"],["GenContFract","of_correctness_of_terminates"]]},{"isProp":true,"kind":"theorem","name":["GenContFract","exists_gcf_pair_rat_eq_of_nth_contsAux"],"typeFallback":"forall {K : Type.{u_1}} [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.2580542311._hygCtx._hyg.3 : Field.{u_1} K] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.2580542311._hygCtx._hyg.6 : LinearOrder.{u_1} K] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.2580542311._hygCtx._hyg.9 : IsStrictOrderedRing.{u_1} K (DivisionSemiring.toSemiring.{u_1} K (Semifield.toDivisionSemiring.{u_1} K (Field.toSemifield.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.2580542311._hygCtx._hyg.3))) (SemilatticeInf.toPartialOrder.{u_1} K (Lattice.toSemilatticeInf.{u_1} K (DistribLattice.toLattice.{u_1} K (instDistribLatticeOfLinearOrder.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.2580542311._hygCtx._hyg.6))))] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.2580542311._hygCtx._hyg.12 : FloorRing.{u_1} K (DivisionRing.toRing.{u_1} K (Field.toDivisionRing.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.2580542311._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.2580542311._hygCtx._hyg.6] (v : K) (n : Nat), Exists.{1} (GenContFract.Pair.{0} Rat) (fun (conts : GenContFract.Pair.{0} Rat) => Eq.{succ u_1} (GenContFract.Pair.{u_1} K) (GenContFract.contsAux.{u_1} K (Field.toDivisionRing.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.2580542311._hygCtx._hyg.3) (GenContFract.of.{u_1} K (Field.toDivisionRing.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.2580542311._hygCtx._hyg.3) inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.2580542311._hygCtx._hyg.6 inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.2580542311._hygCtx._hyg.12 v) n) (GenContFract.Pair.map.{0, u_1} Rat K (Rat.cast.{u_1} K (DivisionRing.toRatCast.{u_1} K (Field.toDivisionRing.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.2580542311._hygCtx._hyg.3))) conts))","typeFull":"∀ {K : Type u_1} [inst : Field K] [inst_1 : LinearOrder K] [IsStrictOrderedRing K] [inst_3 : FloorRing K] (v : K)\n  (n : ℕ), ∃ conts, (GenContFract.of v).contsAux n = GenContFract.Pair.map Rat.cast conts","typeReadable":"∀ {K : Type u_1} [inst : Field K] [inst_1 : LinearOrder K] [IsStrictOrderedRing K] [inst_3 : FloorRing K] (v : K)\n  (n : ℕ), ∃ conts, (GenContFract.of v).contsAux n = GenContFract.Pair.map Rat.cast conts","typeReferences":[["Exists"],["IsStrictOrderedRing"],["Lattice","toSemilatticeInf"],["Field"],["DivisionRing","toRing"],["LinearOrder"],["Field","toDivisionRing"],["DivisionSemiring","toSemiring"],["DivisionRing","toRatCast"],["instDistribLatticeOfLinearOrder"],["GenContFract","Pair","map"],["Nat"],["GenContFract","contsAux"],["DistribLattice","toLattice"],["Rat","cast"],["GenContFract","of"],["Rat"],["Field","toSemifield"],["GenContFract","Pair"],["Semifield","toDivisionSemiring"],["Eq"],["FloorRing"],["SemilatticeInf","toPartialOrder"]],"valueReferences":[["instAddNat"],["Ring","toNonAssocRing"],["Eq","trans"],["Exists","intro"],["AddGroupWithOne","toAddMonoidWithOne"],["GenContFract","contsAux_stable_of_terminated"],["Rat","instMul"],["NonUnitalNonAssocRing","toNonUnitalNonAssocSemiring"],["Eq","symm"],["Rat","cast_one"],["Eq","ndrec"],["instLTNat"],["Exists"],["GenContFract","Pair","a"],["NonUnitalCommRing","toNonUnitalNonAssocCommRing"],["DivisionSemiring","toSemiring"],["GenContFract","Pair","b"],["Rat","cast_intCast"],["Ring","toSemiring"],["DivisionRing","toRatCast"],["Nat","le_succ"],["Eq","refl"],["AddMonoidWithOne","toOne"],["instIsLeftCancelAddOfAddLeftReflectLE"],["IsOrderedCancelAddMonoid","toAddLeftReflectLE"],["Rat"],["Eq","mpr"],["GenContFract","Pair"],["one_mul"],["AddMonoid","toAddZeroClass"],["Stream'","Seq","get?"],["Rat","semiring"],["GenContFract","Pair","casesOn"],["GenContFract","h"],["MulZeroOneClass","toMulOneClass"],["Int","cast"],["Nat","instPreorder"],["Rat","instIntCast"],["Nat","instNeZeroSucc"],["instOfNatNat"],["congr"],["Rat","cast"],["Int","floor"],["Eq"],["Nat","strong_induction_on"],["Nat","instAddMonoid"],["Distrib","toAdd"],["GenContFract","of_h_eq_floor"],["GenContFract","s"],["DivisionRing","toRing"],["Field","toDivisionRing"],["AddZero","toAdd"],["OfNat","ofNat"],["Int"],["HAdd","hAdd"],["eq_self"],["GenContFract","Pair","map"],["GenContFract","contsAux"],["MulZeroClass","toZero"],["NonUnitalNonAssocSemiring","toMulZeroClass"],["Rat","cast_mul"],["AddGroupWithOne","toIntCast"],["Rat","cast_add"],["IsLeftCancelAdd","addLeftStrictMono_of_addLeftMono"],["GenContFract","nextDen"],["GenContFract","Pair","mk"],["And","casesOn"],["HMul","hMul"],["Nat","instZeroLEOneClass"],["Nat","instAddCommMonoid"],["Semiring","toNonAssocSemiring"],["Ring","toAddGroupWithOne"],["funext"],["NonUnitalNonAssocCommRing","toNonUnitalNonAssocRing"],["Semifield","toDivisionSemiring"],["Nat","instIsOrderedAddMonoid"],["NonAssocSemiring","toMulZeroOneClass"],["NonAssocRing","toNonUnitalNonAssocRing"],["SemilatticeInf","toPartialOrder"],["Nat","casesAuxOn"],["NonUnitalNonAssocSemiring","toDistrib"],["Nat","instPartialOrder"],["lt_of_le_of_lt"],["And"],["IsOrderedAddMonoid","toAddLeftMono"],["GenContFract","nextNum"],["AddZeroClass","toAddZero"],["Exists","casesOn"],["Nat"],["Option"],["id"],["instHMul"],["Rat","instDivisionRing"],["Rat","cast_zero"],["GenContFract","Pair","mk","injEq"],["Eq","mp"],["GenContFract","nextConts"],["CommRing","toNonUnitalCommRing"],["Rat","instOfNat"],["congrArg"],["GenContFract","of_partNum_eq_one_and_exists_int_partDen_eq"],["instDistribLatticeOfLinearOrder"],["Nat","instOne"],["GenContFract","of"],["Nat","instIsOrderedCancelAddMonoid"],["Zero","toOfNat0"],["congrFun'"],["IsStrictOrderedRing","toCharZero"],["Lattice","toSemilatticeInf"],["Field","toCommRing"],["True"],["GenContFract","contsAux_recurrence"],["instHAdd"],["Distrib","toMul"],["LT","lt"],["Option","casesOn"],["lt_add_one"],["DistribLattice","toLattice"],["of_eq_true"],["One","toOfNat1"],["Nat","succ"],["Field","toSemifield"]]},{"isProp":true,"kind":"theorem","name":["GenContFract","IntFractPair","coe_stream'_rat_eq"],"typeFallback":"forall {K : Type.{u_1}} [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3199276880._hygCtx._hyg.3 : Field.{u_1} K] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3199276880._hygCtx._hyg.6 : LinearOrder.{u_1} K] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3199276880._hygCtx._hyg.9 : IsStrictOrderedRing.{u_1} K (DivisionSemiring.toSemiring.{u_1} K (Semifield.toDivisionSemiring.{u_1} K (Field.toSemifield.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3199276880._hygCtx._hyg.3))) (SemilatticeInf.toPartialOrder.{u_1} K (Lattice.toSemilatticeInf.{u_1} K (DistribLattice.toLattice.{u_1} K (instDistribLatticeOfLinearOrder.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3199276880._hygCtx._hyg.6))))] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3199276880._hygCtx._hyg.12 : FloorRing.{u_1} K (DivisionRing.toRing.{u_1} K (Field.toDivisionRing.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3199276880._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3199276880._hygCtx._hyg.6] {v : K} {q : Rat}, (Eq.{succ u_1} K v (Rat.cast.{u_1} K (DivisionRing.toRatCast.{u_1} K (Field.toDivisionRing.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3199276880._hygCtx._hyg.3)) q)) -> (Eq.{succ u_1} (Stream'.{u_1} (Option.{u_1} (GenContFract.IntFractPair.{u_1} K))) (Stream'.map.{0, u_1} (Option.{0} (GenContFract.IntFractPair.{0} Rat)) (Option.{u_1} (GenContFract.IntFractPair.{u_1} K)) (Option.map.{0, u_1} (GenContFract.IntFractPair.{0} Rat) (GenContFract.IntFractPair.{u_1} K) (GenContFract.IntFractPair.mapFr.{0, u_1} Rat K (Rat.cast.{u_1} K (DivisionRing.toRatCast.{u_1} K (Field.toDivisionRing.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3199276880._hygCtx._hyg.3))))) (GenContFract.IntFractPair.stream.{0} Rat Rat.instDivisionRing Rat.linearOrder Rat.instFloorRing q)) (GenContFract.IntFractPair.stream.{u_1} K (Field.toDivisionRing.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3199276880._hygCtx._hyg.3) inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3199276880._hygCtx._hyg.6 inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3199276880._hygCtx._hyg.12 v))","typeFull":"∀ {K : Type u_1} [inst : Field K] [inst_1 : LinearOrder K] [IsStrictOrderedRing K] [inst_3 : FloorRing K] {v : K}\n  {q : ℚ},\n  v = ↑q →\n    Stream'.map (Option.map (GenContFract.IntFractPair.mapFr Rat.cast)) (GenContFract.IntFractPair.stream q) =\n      GenContFract.IntFractPair.stream v","typeReadable":"∀ {K : Type u_1} [inst : Field K] [inst_1 : LinearOrder K] [IsStrictOrderedRing K] [inst_3 : FloorRing K] {v : K}\n  {q : ℚ},\n  v = ↑q →\n    Stream'.map (Option.map (GenContFract.IntFractPair.mapFr 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inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3973121262._hygCtx._hyg.6 inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3973121262._hygCtx._hyg.12 v))","typeFull":"∀ {K : Type u_1} [inst : Field K] [inst_1 : LinearOrder K] [IsStrictOrderedRing K] [inst_3 : FloorRing K] {v : K}\n  {q : ℚ},\n  v = ↑q → GenContFract.IntFractPair.mapFr Rat.cast (GenContFract.IntFractPair.of q) = GenContFract.IntFractPair.of v","typeReadable":"∀ {K : Type u_1} [inst : Field K] [inst_1 : LinearOrder K] [IsStrictOrderedRing K] [inst_3 : FloorRing K] {v : K}\n  {q : ℚ},\n  v = ↑q → GenContFract.IntFractPair.mapFr Rat.cast (GenContFract.IntFractPair.of q) = GenContFract.IntFractPair.of 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{K : Type.{u_1}} [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.933249523._hygCtx._hyg.3 : Field.{u_1} K] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.933249523._hygCtx._hyg.6 : LinearOrder.{u_1} K] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.933249523._hygCtx._hyg.9 : IsStrictOrderedRing.{u_1} K (DivisionSemiring.toSemiring.{u_1} K (Semifield.toDivisionSemiring.{u_1} K (Field.toSemifield.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.933249523._hygCtx._hyg.3))) (SemilatticeInf.toPartialOrder.{u_1} K (Lattice.toSemilatticeInf.{u_1} K (DistribLattice.toLattice.{u_1} K (instDistribLatticeOfLinearOrder.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.933249523._hygCtx._hyg.6))))] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.933249523._hygCtx._hyg.12 : FloorRing.{u_1} K (DivisionRing.toRing.{u_1} K 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Field K] [inst_1 : LinearOrder K] [IsStrictOrderedRing K] [inst_3 : FloorRing K] {v : K}\n  {q : ℚ}, v = ↑q → ((GenContFract.of v).Terminates ↔ (GenContFract.of q).Terminates)","typeReadable":"∀ {K : Type u_1} [inst : Field K] [inst_1 : LinearOrder K] [IsStrictOrderedRing K] [inst_3 : FloorRing K] {v : K}\n  {q : ℚ}, v = ↑q → ((GenContFract.of v).Terminates ↔ (GenContFract.of 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-1 →\n      0 ≤ ifp.fr.num → ∃ n, GenContFract.IntFractPair.stream q n = 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{K : Type.{u_1}} [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3973121263._hygCtx._hyg.3 : Field.{u_1} K] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3973121263._hygCtx._hyg.6 : LinearOrder.{u_1} K] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3973121263._hygCtx._hyg.9 : IsStrictOrderedRing.{u_1} K (DivisionSemiring.toSemiring.{u_1} K (Semifield.toDivisionSemiring.{u_1} K (Field.toSemifield.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3973121263._hygCtx._hyg.3))) (SemilatticeInf.toPartialOrder.{u_1} K (Lattice.toSemilatticeInf.{u_1} K (DistribLattice.toLattice.{u_1} K (instDistribLatticeOfLinearOrder.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3973121263._hygCtx._hyg.6))))] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3973121263._hygCtx._hyg.12 : FloorRing.{u_1} K (DivisionRing.toRing.{u_1} K (Field.toDivisionRing.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3973121263._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3973121263._hygCtx._hyg.6] {v : K} {q : Rat}, (Eq.{succ u_1} K v (Rat.cast.{u_1} K (DivisionRing.toRatCast.{u_1} K (Field.toDivisionRing.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3973121263._hygCtx._hyg.3)) q)) -> (Eq.{succ u_1} (GenContFract.{u_1} K) (GenContFract.mk.{u_1} K (Rat.cast.{u_1} K (DivisionRing.toRatCast.{u_1} K (Field.toDivisionRing.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3973121263._hygCtx._hyg.3)) (GenContFract.h.{0} Rat (GenContFract.of.{0} Rat Rat.instDivisionRing Rat.linearOrder Rat.instFloorRing q))) (Stream'.Seq.map.{0, u_1} (GenContFract.Pair.{0} Rat) (GenContFract.Pair.{u_1} K) (GenContFract.Pair.map.{0, u_1} Rat K (Rat.cast.{u_1} K (DivisionRing.toRatCast.{u_1} K 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FloorRing K] {v : K}\n  {q : ℚ},\n  v = ↑q →\n    { h := ↑(GenContFract.of q).h, s := Stream'.Seq.map (GenContFract.Pair.map Rat.cast) (GenContFract.of q).s } =\n      GenContFract.of 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(q : Rat), GenContFract.Terminates.{0} Rat (GenContFract.of.{0} Rat Rat.instDivisionRing Rat.linearOrder Rat.instFloorRing q)","typeFull":"∀ (q : ℚ), (GenContFract.of q).Terminates","typeReadable":"∀ (q : ℚ), (GenContFract.of 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[inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3060654167._hygCtx._hyg.3 : Field.{u_1} K] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3060654167._hygCtx._hyg.6 : LinearOrder.{u_1} K] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3060654167._hygCtx._hyg.9 : IsStrictOrderedRing.{u_1} K (DivisionSemiring.toSemiring.{u_1} K (Semifield.toDivisionSemiring.{u_1} K (Field.toSemifield.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3060654167._hygCtx._hyg.3))) (SemilatticeInf.toPartialOrder.{u_1} K (Lattice.toSemilatticeInf.{u_1} K (DistribLattice.toLattice.{u_1} K (instDistribLatticeOfLinearOrder.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3060654167._hygCtx._hyg.6))))] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.3060654167._hygCtx._hyg.12 : FloorRing.{u_1} K (DivisionRing.toRing.{u_1} K (Field.toDivisionRing.{u_1} K 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: Field K] [inst_1 : LinearOrder K] [IsStrictOrderedRing K] [inst_3 : FloorRing K] (v : K)\n  (n : ℕ), ∃ q, (GenContFract.of v).dens n = ↑q","typeReadable":"∀ {K : Type u_1} [inst : Field K] [inst_1 : LinearOrder K] [IsStrictOrderedRing K] [inst_3 : FloorRing K] (v : K)\n  (n : ℕ), ∃ q, (GenContFract.of v).dens n = 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{K : Type.{u_1}} [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.2071374816._hygCtx._hyg.3 : Field.{u_1} K] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.2071374816._hygCtx._hyg.6 : LinearOrder.{u_1} K] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.2071374816._hygCtx._hyg.9 : IsStrictOrderedRing.{u_1} K (DivisionSemiring.toSemiring.{u_1} K (Semifield.toDivisionSemiring.{u_1} K (Field.toSemifield.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.2071374816._hygCtx._hyg.3))) (SemilatticeInf.toPartialOrder.{u_1} K (Lattice.toSemilatticeInf.{u_1} K (DistribLattice.toLattice.{u_1} K (instDistribLatticeOfLinearOrder.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.2071374816._hygCtx._hyg.6))))] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.2071374816._hygCtx._hyg.12 : FloorRing.{u_1} K (DivisionRing.toRing.{u_1} K 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(GenContFract.of v).Terminates ↔ ∃ q, v = ↑q","typeReadable":"∀ {K : Type u_1} [inst : Field K] [inst_1 : LinearOrder K] [IsStrictOrderedRing K] [inst_3 : FloorRing K] (v : K),\n  (GenContFract.of v).Terminates ↔ ∃ q, v = 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{K : Type.{u_1}} [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.1102961685._hygCtx._hyg.3 : Field.{u_1} K] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.1102961685._hygCtx._hyg.6 : LinearOrder.{u_1} K] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.1102961685._hygCtx._hyg.9 : IsStrictOrderedRing.{u_1} K (DivisionSemiring.toSemiring.{u_1} K (Semifield.toDivisionSemiring.{u_1} K (Field.toSemifield.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.1102961685._hygCtx._hyg.3))) (SemilatticeInf.toPartialOrder.{u_1} K (Lattice.toSemilatticeInf.{u_1} K (DistribLattice.toLattice.{u_1} K (instDistribLatticeOfLinearOrder.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.1102961685._hygCtx._hyg.6))))] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.1102961685._hygCtx._hyg.12 : FloorRing.{u_1} K (DivisionRing.toRing.{u_1} K 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GenContFract.IntFractPair.stream v 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{K : Type.{u_1}} [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.678456350._hygCtx._hyg.3 : Field.{u_1} K] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.678456350._hygCtx._hyg.6 : LinearOrder.{u_1} K] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.678456350._hygCtx._hyg.9 : IsStrictOrderedRing.{u_1} K (DivisionSemiring.toSemiring.{u_1} K (Semifield.toDivisionSemiring.{u_1} K (Field.toSemifield.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.678456350._hygCtx._hyg.3))) (SemilatticeInf.toPartialOrder.{u_1} K (Lattice.toSemilatticeInf.{u_1} K (DistribLattice.toLattice.{u_1} K (instDistribLatticeOfLinearOrder.{u_1} K inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.678456350._hygCtx._hyg.6))))] [inst._@.Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat.678456350._hygCtx._hyg.12 : FloorRing.{u_1} K (DivisionRing.toRing.{u_1} K 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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.Group.Action.Opposite.sym.json

@@ -0,0 +1 @@
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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.Group.Action.TransferInstance.sym.json

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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.Group.Nat.Even.sym.json

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

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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.GroupWithZero.Semiconj.sym.json

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{G₀ : Type.{u_1}} [inst._@.Mathlib.Algebra.GroupWithZero.Semiconj.4813330._hygCtx._hyg.3 : MulZeroClass.{u_1} G₀] (x : G₀) (y : G₀), SemiconjBy.{u_1} G₀ (MulZeroClass.toMul.{u_1} G₀ inst._@.Mathlib.Algebra.GroupWithZero.Semiconj.4813330._hygCtx._hyg.3) (OfNat.ofNat.{u_1} G₀ 0 (Zero.toOfNat0.{u_1} G₀ (MulZeroClass.toZero.{u_1} G₀ inst._@.Mathlib.Algebra.GroupWithZero.Semiconj.4813330._hygCtx._hyg.3))) x y","typeFull":"∀ {G₀ : Type u_1} [inst : MulZeroClass G₀] (x y : G₀), SemiconjBy 0 x y","typeReadable":"∀ {G₀ : Type u_1} [inst : MulZeroClass G₀] (x y : G₀), SemiconjBy 0 x 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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.Lie.Character.sym.json

@@ -0,0 +1 @@
+[{"isProp":true,"kind":"theorem","name":["LieAlgebra","lieCharacterEquivLinearDual","_proof_2"],"typeFallback":"forall {R : Type.{u_1}} {L : Type.{u_2}} [inst._@.Mathlib.Algebra.Lie.Character.3702800189._hygCtx._hyg.4 : CommRing.{u_1} R] [inst._@.Mathlib.Algebra.Lie.Character.3702800189._hygCtx._hyg.7 : LieRing.{u_2} L] [inst._@.Mathlib.Algebra.Lie.Character.3702800189._hygCtx._hyg.10 : LieAlgebra.{u_1, u_2} R L inst._@.Mathlib.Algebra.Lie.Character.3702800189._hygCtx._hyg.4 inst._@.Mathlib.Algebra.Lie.Character.3702800189._hygCtx._hyg.7] [inst._@.Mathlib.Algebra.Lie.Character.3702800189._hygCtx._hyg.14 : IsLieAbelian.{u_2} L (LieRingModule.toBracket.{u_2, u_2} L L inst._@.Mathlib.Algebra.Lie.Character.3702800189._hygCtx._hyg.7 (LieRing.toAddCommGroup.{u_2} L inst._@.Mathlib.Algebra.Lie.Character.3702800189._hygCtx._hyg.7) (lieRingSelfModule.{u_2} L inst._@.Mathlib.Algebra.Lie.Character.3702800189._hygCtx._hyg.7)) (NegZeroClass.toZero.{u_2} L (SubNegZeroMonoid.toNegZeroClass.{u_2} L 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{α : Sort.{u}} {p : α -> Prop} {q : (Subtype.{u} α (fun (a : α) => p a)) -> Prop}, Eq.{1} Prop (Exists.{max 1 u} (Subtype.{u} α (fun (a : α) => p a)) (fun (x : Subtype.{u} α (fun (a : α) => p a)) => q x)) (Exists.{u} α (fun (a : α) => Exists.{0} (p a) (fun (b : p a) => q (Subtype.mk.{u} α (fun (a : α) => p a) a b))))","typeFull":"∀ {α : Sort u} {p : α → Prop} {q : { a // p a } → Prop}, (∃ x, q x) = ∃ a, ∃ (b : p a), q ⟨a, b⟩","typeReadable":"∀ {α : Sort u} {p : α → Prop} {q : { a // p a } → Prop}, (∃ x, q x) = ∃ a, ∃ (b : p a), q ⟨a, b⟩","typeReferences":[["Exists"],["Subtype"],["Subtype","mk"],["Eq"]],"valueReferences":[["Subtype"],["Exists"],["Subtype","exists"],["Subtype","mk"],["propext"]]},{"isProp":true,"kind":"theorem","name":["LieAlgebra","lieCharacterEquivLinearDual","_proof_1"],"typeFallback":"forall {R : Type.{u_1}} {L : Type.{u_2}} [inst._@.Mathlib.Algebra.Lie.Character.3702800189._hygCtx._hyg.4 : CommRing.{u_1} R] 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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.NoZeroSMulDivisors.Basic.sym.json

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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.Notation.FiniteSupport.sym.json

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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.Order.Group.Nat.sym.json

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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.Order.SuccPred.TypeTags.sym.json

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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.Ring.Action.Group.sym.json

@@ -0,0 +1 @@
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u_2) [inst : Group G] (R : Type u_1) [inst_1 : Semiring R] [inst_2 : MulSemiringAction G R] (x : G)\n  (x_1 y : R),\n  (↑↑(MulSemiringAction.toRingHom G R x)).toFun (x_1 * y) =\n    (↑↑(MulSemiringAction.toRingHom G R x)).toFun x_1 * (↑↑(MulSemiringAction.toRingHom G R x)).toFun y","typeReadable":"∀ (G : Type u_2) [inst : Group G] (R : Type u_1) [inst_1 : Semiring R] [inst_2 : MulSemiringAction G R] (x : G)\n  (x_1 y : R),\n  (↑↑(MulSemiringAction.toRingHom G R x)).toFun (x_1 * y) =\n    (↑↑(MulSemiringAction.toRingHom G R x)).toFun x_1 * (↑↑(MulSemiringAction.toRingHom G R x)).toFun y","typeReferences":[["MulOneClass","toMulOne"],["Group"],["MulSemiringAction","toRingHom"],["MulOne","toOne"],["HMul","hMul"],["MulZeroOneClass","toMulOneClass"],["OneHom","toFun"],["RingHom","toMonoidHom"],["MulOne","toMul"],["Semiring","toNonAssocSemiring"],["DivInvMonoid","toMonoid"],["MonoidHom","toOneHom"],["instHMul"],["MulSemiringAction"],["Eq"],["Group","toDivInvMonoid"],["NonAssocSemiring","toMulZeroOneClass"],["Semiring"]],"valueReferences":[["MulOneClass","toMulOne"],["RingHom","toMonoidHom"],["Semiring","toNonAssocSemiring"],["DivInvMonoid","toMonoid"],["MulSemiringAction","toRingHom"],["MonoidHom","map_mul'"],["MulZeroOneClass","toMulOneClass"],["Group","toDivInvMonoid"],["NonAssocSemiring","toMulZeroOneClass"]]},{"isProp":false,"kind":"definition","name":["MulSemiringAction","toRingEquiv"],"typeFallback":"forall (G : Type.{u_1}) [inst._@.Mathlib.Algebra.Ring.Action.Group.535014512._hygCtx._hyg.3 : Group.{u_1} G] (R : Type.{u_2}) [inst._@.Mathlib.Algebra.Ring.Action.Group.535014512._hygCtx._hyg.7 : Semiring.{u_2} R] [inst._@.Mathlib.Algebra.Ring.Action.Group.535014512._hygCtx._hyg.10 : MulSemiringAction.{u_1, u_2} G R (DivInvMonoid.toMonoid.{u_1} G (Group.toDivInvMonoid.{u_1} G inst._@.Mathlib.Algebra.Ring.Action.Group.535014512._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.Ring.Action.Group.535014512._hygCtx._hyg.7], G -> (RingEquiv.{u_2, u_2} R R (Distrib.toMul.{u_2} R (NonUnitalNonAssocSemiring.toDistrib.{u_2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_2} R (Semiring.toNonAssocSemiring.{u_2} R inst._@.Mathlib.Algebra.Ring.Action.Group.535014512._hygCtx._hyg.7)))) (Distrib.toMul.{u_2} R (NonUnitalNonAssocSemiring.toDistrib.{u_2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_2} R (Semiring.toNonAssocSemiring.{u_2} R inst._@.Mathlib.Algebra.Ring.Action.Group.535014512._hygCtx._hyg.7)))) (Distrib.toAdd.{u_2} R (NonUnitalNonAssocSemiring.toDistrib.{u_2} R 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R","typeReferences":[["Group"],["Distrib","toAdd"],["Semiring","toNonAssocSemiring"],["NonUnitalNonAssocSemiring","toDistrib"],["DivInvMonoid","toMonoid"],["NonAssocSemiring","toNonUnitalNonAssocSemiring"],["Distrib","toMul"],["RingEquiv"],["MulSemiringAction"],["Group","toDivInvMonoid"],["Semiring"]],"valueReferences":[["Distrib","toAdd"],["MulSemiringAction","toRingHom"],["NonUnitalNonAssocSemiring","toDistrib"],["Distrib","toMul"],["NonAssocSemiring","toNonUnitalNonAssocSemiring"],["MulSemiringAction","toDistribMulAction"],["AddEquiv","toEquiv"],["AddMonoidWithOne","toAddMonoid"],["RingEquiv","mk"],["MulSemiringAction","toRingEquiv","_proof_2"],["DistribMulAction","toAddEquiv"],["Semiring","toNonAssocSemiring"],["DivInvMonoid","toMonoid"],["AddMonoid","toAddSemigroup"],["MulSemiringAction","toRingEquiv","_proof_1"],["AddCommMonoidWithOne","toAddMonoidWithOne"],["NonAssocSemiring","toAddCommMonoidWithOne"],["Group","toDivInvMonoid"],["AddSemigroup","toAdd"]]},{"isProp":true,"kind":"theorem","name":["MulSemiringAction","toRingEquiv_apply"],"typeFallback":"forall 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data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.Ring.Nat.sym.json

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

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