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stringlengths
2
347
module
stringlengths
6
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deps
listlengths
0
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allowCompletion
bool
2 classes
Algebra.Presentation.coeffs_relation_subset_core
Mathlib.RingTheory.Extension.Presentation.Core
[ "Subalgebra.instSetLike", "CommRing", "CommSemiring.toSemiring", "Finset", "Algebra.Presentation.coeffs", "subset_trans", "MvPolynomial.coeffs", "Algebra.Presentation.coeffs_relation_subset_coeffs", "Algebra", "Algebra.Presentation.coeffs_subset_core", "Set.instIsTransSubset", "HasSubset.Subse...
true
Std.Format.MonadPrettyFormat.mk.noConfusion
Init.Data.Format.Basic
[ "Std.Format.MonadPrettyFormat.noConfusion", "String", "id", "heq_of_eq", "Unit", "Nat", "Eq.refl", "HEq", "Std.Format.MonadPrettyFormat.mk", "Eq", "Std.Format.MonadPrettyFormat" ]
false
Lean.Lsp.TextDocumentSyncOptions.mk._flat_ctor
Lean.Data.Lsp.TextSync
[ "Lean.Lsp.TextDocumentSyncKind", "Lean.Lsp.TextDocumentSyncOptions", "Lean.Lsp.SaveOptions", "Bool", "Lean.Lsp.TextDocumentSyncOptions.mk", "Option" ]
false
Real.rpow_le_of_le_log
Mathlib.Analysis.SpecialFunctions.Pow.Real
[ "Iff.mpr", "Real.instPow", "Real.instLE", "Real.rpow_pos_of_pos", "Real", "Preorder.toLT", "HMul.hMul", "Real.instZero", "PartialOrder.toPreorder", "Real.instLT", "Preorder.toLE", "LT.lt.le", "Real.le_rpow_iff_log_le", "LE.le", "Real.log", "Or.casesOn", "le_or_gt", "HPow.hPow", "...
true
TensorProduct.mapOfCompatibleSMul_tmul
Mathlib.LinearAlgebra.TensorProduct.Basic
[ "TensorProduct.CompatibleSMul", "TensorProduct.mapOfCompatibleSMul", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "TensorProduct.addCommMonoid", "AddMonoid.toAddZeroClass", "LinearMap.instFunLike", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "LinearMap", "AddCommMono...
true
Subring.mem_unop
Mathlib.Algebra.Ring.Subring.MulOpposite
[ "Subring.instSetLike", "Iff.rfl", "MulOpposite", "Membership.mem", "MulOpposite.instNonAssocRing", "NonAssocRing", "Iff", "Subring", "Subring.unop", "SetLike.instMembership", "MulOpposite.op" ]
true
_private.LeanSearchClient.LoogleSyntax.0.LeanSearchClient.getLoogleQueryJson.match_6
LeanSearchClient.LoogleSyntax
[ "Except.ok", "String", "Nat.hasNotBit", "_private.LeanSearchClient.LoogleSyntax.0.LeanSearchClient.getLoogleQueryJson._sparseCasesOn_1", "Except.ctorIdx", "Except" ]
false
CategoryTheory.Oplax.LaxTrans.vCompNaturality
Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Oplax
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.OplaxFunctor.toPrelaxFunctor", "CategoryTheory.Bicategory.whiskerRight", "CategoryTheory.Bicategory.toCategoryStruct", "CategoryTheory.PrelaxFunctor.toPrelaxFunctorStruct", "CategoryTheory.Oplax.LaxTrans.app", "CategoryTheory.Bica...
true
Int.default_eq_zero
Init.Data.Int.Basic
[ "Inhabited.default", "Int.instInhabited", "Int", "instOfNat", "OfNat.ofNat", "Eq", "rfl" ]
true
_private.Aesop.Forward.State.0.Aesop.InstMap.modify._sparseCasesOn_7
Aesop.Forward.State
[ "Nat.ne_of_beq_eq_false", "Option.ctorIdx", "Nat.shiftRight", "Option.some", "Nat.hasNotBit", "Option.rec", "instOfNatNat", "Nat.land", "Option.none", "Nat", "Bool", "Eq.refl", "OfNat.ofNat", "Bool.false", "Option" ]
false
CategoryTheory.WithInitial.liftFromUnderComp._proof_5
Mathlib.CategoryTheory.WithTerminal.Cone
[ "CategoryTheory.instCategoryUnder", "CategoryTheory.Functor", "CategoryTheory.WithInitial.liftFromUnder", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.WithInitial.of", "congrArg", "HEq.refl", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTh...
false
Except.pmap._proof_1
Batteries.Lean.Except
[ "Except.ok", "Except", "Eq", "rfl" ]
false
_private.Mathlib.Algebra.Module.Submodule.Range.0.LinearMap.ker_le_iff._simp_1_1
Mathlib.Algebra.Module.Submodule.Range
[ "Submodule", "AddMonoid.toAddZeroClass", "LinearMap.ker", "LinearMap.instFunLike", "RingHom", "Membership.mem", "AddZeroClass.toAddZero", "LinearMap", "AddCommMonoid", "LinearMap.mem_ker", "AddZero.toZero", "Submodule.setLike", "propext", "Semiring", "Zero.toOfNat0", "AddCommMonoid.toA...
false
_private.Mathlib.AlgebraicGeometry.ColimitsOver.0.AlgebraicGeometry.Scheme.Cover.ColimitGluingData.cocone_ι_transitionMap._simp_1_2
Mathlib.AlgebraicGeometry.ColimitsOver
[ "CategoryTheory.Functor.mapCocone_ι_app", "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "CategoryTheory.Functor.mapCocone", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.map", "CategoryT...
false
diffToIdealOfQuotientCompEq_apply
Mathlib.RingTheory.Derivation.ToSquareZero
[ "CommRing", "Semiring.toModule", "IsScalarTower.right", "AddGroupWithOne.toAddGroup", "CommSemiring.toSemiring", "AlgHom", "Submodule.addCommMonoid", "AlgHom.funLike", "LinearMap.instFunLike", "HSub.hSub", "Algebra", "Algebra.toSMul", "Membership.mem", "Algebra.toModule", "Subtype", "I...
true
LinearMap.rTensor_smul_action
Mathlib.LinearAlgebra.TensorProduct.Map
[ "TensorProduct.instDistribMulAction", "LinearMap.id", "instHSMul", "LinearMap.rTensor_id", "DistribSMul.toLinearMap", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "TensorProduct.addMonoid", "TensorProduct.addCommMonoid", "LinearMap", "smulCommClass_self", "AddComm...
true
ProbabilityTheory.covariance_sum_sum'
Mathlib.Probability.Moments.Covariance
[ "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "Real", "MeasureTheory.Measure", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Pi.addCommMonoid", "congrArg", "MeasureTheory.memLp_finsetSum'", "Finset", "IsSemitopologicalRing.toIsSemitopologicalSemiring", "Nat.instAtLeastTwoHAddOfNat", "Pr...
true
DirectLimit.Ring.of._proof_3
Mathlib.Algebra.Colimit.DirectLimit
[ "AddMonoid.toAddZeroClass", "Preorder.toLE", "AddZeroClass.toAddZero", "NonUnitalRingHom.map_zero'", "LE.le", "DirectLimit", "NonUnitalNonAssocSemiring.toAddCommMonoid", "AddZero.toZero", "MulHom.toFun", "NonAssocSemiring", "RingHomClass.toNonUnitalRingHomClass", "Distrib.toMul", "NonAssocSe...
false
Summable.compl_add
Mathlib.Topology.Algebra.InfiniteSum.Basic
[ "Compl.compl", "AddMonoid.toAddZeroClass", "Function.comp", "Membership.mem", "AddZeroClass.toAddZero", "Set.Elem", "Set.instCompl", "AddCommMonoid", "HasSum.summable", "TopologicalSpace", "instHAdd", "Summable.hasSum", "HAdd.hAdd", "tsum", "HasSum.compl_add", "AddZero.toAdd", "AddCo...
true
Lean.Server.Watchdog.CallHierarchyItemData.casesOn
Lean.Server.Watchdog
[ "Lean.Server.Watchdog.CallHierarchyItemData", "Lean.Server.Watchdog.CallHierarchyItemData.rec", "Lean.Server.Watchdog.CallHierarchyItemData.mk", "Lean.Name" ]
false
_private.Mathlib.MeasureTheory.Measure.IntegralCharFun.0.MeasureTheory.integral_charFun_Icc._simp_1_9
Mathlib.MeasureTheory.Measure.IntegralCharFun
[ "False", "eq_false", "AddMonoid.toAddSemigroup", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "AddMonoidWithOne.toNatCast", "Nat.cast", "CharZero", "Nat.cast_add_one_ne_zero", "AddMonoidWithOne.toOne", "AddZero.toZero", "instHAdd", "AddSemigroup.toAdd", "HAdd.hAdd", "Nat", "On...
false
ContinuousMap.instSemiringOfIsTopologicalSemiring._proof_1
Mathlib.Topology.ContinuousMap.Algebra
[ "Semigroup.toMul", "HMul.hMul", "IsTopologicalSemiring", "IsTopologicalSemiring.toContinuousMul", "ContinuousMap", "AddMonoid.toZero", "Distrib.toAdd", "ContinuousMap.coe_zero", "NonUnitalSemiring.toNonUnitalNonAssocSemiring", "ContinuousMap.coe_injective", "ContinuousMap.instMonoidOfContinuousM...
false
Module.FaithfullyFlat.iff_flat_and_ideal_smul_eq_top
Mathlib.RingTheory.Flat.FaithfullyFlat.Basic
[ "Iff.mpr", "instDecidableNot", "Submodule", "False", "CommRing", "instHSMul", "Semiring.toModule", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "False.elim", "AddCommGroup", "Submodule.decidableEq", "Ne", "and_congr_right_iff", "Submodule.instTop", "Ideal", "IsScalarTow...
true
Algebra.TensorProduct.nontrivial_of_algebraMap_injective_of_flat_right
Mathlib.RingTheory.Flat.Basic
[ "Nontrivial", "Algebra.algebraMap", "TensorProduct.nontrivial_of_linearMap_injective_of_flat_right", "CommSemiring.toSemiring", "Algebra", "RingHom", "Algebra.toModule", "Algebra.linearMap", "Module.Flat", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "RingHom.instFunLike", "N...
true
DifferentiableOn.clm_comp
Mathlib.Analysis.Calculus.FDeriv.CompCLM
[ "ContinuousLinearMap.comp", "NormedCommRing.toNormedRing", "NormedCommRing.toSeminormedCommRing", "NormedRing.toRing", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "NormedSpace", "ContinuousLinearMap.topologicalSpace", "DistribMulAction.toDistribSMul", "AddCo...
true
CategoryTheory.Limits.WidePullback.π
Mathlib.CategoryTheory.Limits.Shapes.WidePullbacks
[ "CategoryTheory.Limits.limit.π", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.widePullback", "CategoryTheory.Limits.WidePullbackShape", "Option.some", "CategoryTheory.Limits.WidePullbackShape.category", "CategoryTheory.Limits.WidePullbackShape.wideCospan", "Category...
true
NonUnitalStarSubalgebra.iSupLift._proof_9
Mathlib.Algebra.Star.NonUnitalSubalgebra
[ "Set.iUnionLift_unary", "instSMulOfMul", "NonUnitalStarSubalgebra.toNonUnitalSemiring", "congrArg", "CommSemiring.toSemiring", "iSup", "DistribMulAction.toDistribSMul", "NonUnitalStarAlgHom.instStarHomClass", "Directed", "IsScalarTower", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", ...
false
Ordinal.add_sub_add_cancel
Mathlib.SetTheory.Ordinal.Arithmetic
[ "Eq.mpr", "congrArg", "HSub.hSub", "id", "Ordinal.add_sub_cancel", "instHAdd", "instHSub", "Ordinal.sub", "HAdd.hAdd", "Ordinal.add", "Eq.refl", "Eq.symm", "Eq", "Ordinal.sub_sub", "Ordinal" ]
true
FunctionField.finiteDimensional_of_constantExtension
Mathlib.NumberTheory.FunctionField
[ "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "Module.Free.instFaithfulSMulOfNontrivial", "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Module.finite_of_finrank_pos", "IsScalarTower", "RatFunc.instNon...
true
PFunctor.M.iselect_cons
Mathlib.Data.PFunctor.Univariate.M
[ "PFunctor", "PFunctor.A", "congrArg", "PFunctor.M", "PFunctor.M.iselect", "PFunctor.B", "PFunctor.Approx.Path", "List.cons", "PFunctor.M.isubtree", "True", "eq_self", "of_eq_true", "Inhabited", "PFunctor.M.head", "congrFun'", "Sigma.mk", "PFunctor.Idx", "Eq", "Eq.trans", "PFunc...
true
_private.Init.Data.String.Basic.0.String.Slice.Pos.str_lt_str_iff._simp_1_3
Init.Data.String.Basic
[ "String.instLTRaw", "String.Pos.Raw.lt_iff", "String.Pos.Raw", "Nat", "LT.lt", "propext", "instLTNat", "String.Pos.Raw.byteIdx", "Eq" ]
false
Lean.Server.Watchdog.WaitForILeanRequest.version
Lean.Server.Watchdog
[ "Nat", "Lean.Server.Watchdog.WaitForILeanRequest" ]
true
CategoryTheory.rightDistributor_hom_comp_biproduct_π_assoc
Mathlib.CategoryTheory.Monoidal.Preadditive
[ "CategoryTheory.Category.assoc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "Finite", "CategoryTheory.MonoidalCategory", "CategoryTheory.rightDistributor", "CategoryTheory.Limits.HasFiniteBiproducts", "CategoryTheory.MonoidalPreadditive", "Eq.mp", "id", "Mathlib.Tactic...
true
_private.Init.Data.BitVec.Lemmas.0.BitVec.extractLsb'_append_extractLsb'._proof_1_1
Init.Data.BitVec.Lemmas
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.ofNat_sub_dichotomy", "Lean.Omega.Int.add_congr", "Lean.Om...
false
_private.Mathlib.CategoryTheory.Sites.Equivalence.0.CategoryTheory.Equivalence.instIsCoverDenseOfIsEquivalence._simp_1
Mathlib.CategoryTheory.Sites.Equivalence
[ "Lattice.toSemilatticeSup", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CompleteLattice.toLattice", "CategoryTheory.Sieve.top_apply", "PartialOrder.toPreorder", "Preorder.toLE", "CompleteLattice.toBoundedOrder", "CategoryTheory.Sieve.arrows", "CategoryTheory.Sieve", "OrderTop.toTop"...
false
Lean.Compiler.LCNF.PassInstaller.installAfter
Lean.Compiler.LCNF.PassManager
[ "Pure.pure", "Lean.MessageData", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Std.instToFormatString", "Array.insertIdx", "Lean.Core.instMonadRefCoreM", "Lean.Compiler.LCNF.PassInstaller.mk", "String", "Lean.instAddErrorMessageContextOfAddMessageContextOfMonad", "Function.comp"...
true
Lean.Server.instInhabitedReferences.default
Lean.Server.References
[ "Inhabited.default", "Std.TreeMap.instInhabited", "Lean.Server.References.mk", "Lean.Server.TransientWorkerILean", "Lean.Name", "Lean.Server.LoadedILean", "Lean.Server.ILeanMap", "Lean.Name.quickCmp", "Lean.Server.WorkerRefMap", "Lean.Server.References" ]
true
_private.Batteries.Lean.LawfulMonadLift.0.EIO.bind_eq_EST_bind
Batteries.Lean.LawfulMonadLift
[ "EST.bind", "IO.RealWorld", "EIO", "instMonadEIO", "Monad.toBind", "Eq.refl", "Bind.bind", "Eq" ]
true
MonoidAlgebra.ofCoeff_mapDomain
Mathlib.Algebra.MonoidAlgebra.MapDomain
[ "MonoidAlgebra.ofCoeff", "Finsupp.mapDomain", "NonUnitalNonAssocSemiring.toAddCommMonoid", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "MonoidAlgebra", "Semiring", "MonoidAlgebra.mapDomain", "Semiring.toNonAssocSemiring", "Eq", "Finsupp", "rfl", "MulZeroClass.toZero", "instMulZeroClassOf...
true
TopologicalSpace.Compacts.uniformContinuous_prod
Mathlib.Topology.UniformSpace.Closeds
[ "Iff.mpr", "Set.instSProd", "UniformContinuous", "UniformSpace", "instUniformSpaceProd", "UniformContinuous.prodMap", "SProd.sprod", "TopologicalSpace.Compacts.uniformSpace", "instTopologicalSpaceProd", "Function.comp", "IsUniformEmbedding.toIsUniformInducing", "Prod.map", "UniformSpace.haus...
true
StarSubalgebra.mem_sup_right
Mathlib.Algebra.Star.Subalgebra
[ "Lattice.toSemilatticeSup", "StarSubalgebra.instPartialOrder", "StarSubalgebra.completeLattice", "CommSemiring.toSemiring", "PartialOrder.toPreorder", "Algebra", "Preorder.toLE", "Algebra.toSMul", "Membership.mem", "CompleteLattice.toConditionallyCompleteLattice", "SemilatticeSup.toMax", "Star...
true
IsClosed.analyticSet
Mathlib.MeasureTheory.Constructions.Polish.Basic
[ "Eq.mpr", "continuous_subtype_val", "congrArg", "Membership.mem", "id", "Subtype", "Subtype.range_val", "IsClosed", "TopologicalSpace", "PolishSpace", "instTopologicalSpaceSubtype", "Set.range", "Eq.symm", "IsClosed.polishSpace", "Subtype.val", "Eq", "Set.instMembership", "MeasureT...
true
Lean.Lsp.LeanModuleHierarchyImportsParams._sizeOf_inst
Lean.Data.Lsp.Extra
[ "Lean.Lsp.LeanModuleHierarchyImportsParams", "SizeOf.mk", "SizeOf", "Lean.Lsp.LeanModuleHierarchyImportsParams._sizeOf_1" ]
false
Std.LawfulOrderBEq
Init.Data.Order.Classes
[ "LE", "Std.LawfulOrderBEq.mk", "BEq" ]
true
CategoryTheory.AddMonObj.ofIso._proof_4
Mathlib.CategoryTheory.Monoidal.Mon
[ "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.AddMonObj.add_zero_assoc", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "CategoryTheory.Iso.inv_hom_id", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.MonoidalCategory.rightUnitor_inv_comp_tensor...
false
CategoryTheory.ModObj.noConfusion
Mathlib.CategoryTheory.Monoidal.Mod
[ "CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionHomLeft", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionAssocIso", "HEq.refl", "CategoryTheory.MonoidalCategory", "CategoryTheory.ModObj.one_smul._autoParam", "Cate...
false
WittVector.IsocrystalHom.frob_equivariant
Mathlib.RingTheory.WittVector.Isocrystal
[ "WittVector.IsocrystalHom", "WittVector.IsocrystalHom.toLinearMap", "WittVector.Isocrystal", "PerfectRing", "CommRing", "Nat.Prime", "WittVector.FractionRing.frobenius", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "CommRing.toNonUnitalCommRing", "WittVector.instCommRing...
true
List.zipWith₄._unsafe_rec
Batteries.Data.List.Basic
[ "List.zipWith₄.match_1", "List.cons", "List", "List.zipWith₄._unsafe_rec", "List.nil" ]
false
Std.Internal.List.isSome_getValueCast?_eq_isSome_getEntry?
Std.Data.Internal.List.Associative
[ "Eq.mpr", "congrArg", "Std.Internal.List.getValueCast?", "_private.Std.Data.Internal.List.Associative.0.Std.Internal.List.Option.isSome_dmap", "Option.some", "cast", "LawfulBEq", "id", "Sigma.fst", "List", "Std.Internal.List.beq_of_getEntry?_eq_some", "_private.Std.Data.Internal.List.Associati...
true
bihimp_bihimp_self
Mathlib.Order.SymmDiff
[ "Eq.mpr", "BooleanAlgebra", "congrArg", "GeneralizedHeytingAlgebra.toHImp", "id", "BiheytingAlgebra.toHeytingAlgebra", "BiheytingAlgebra.toCoheytingAlgebra", "SemilatticeInf.toMin", "bihimp", "BooleanAlgebra.toBiheytingAlgebra", "bihimp_comm", "GeneralizedHeytingAlgebra.toLattice", "HeytingA...
true
_private.Mathlib.Analysis.Analytic.Basic.0.HasFPowerSeriesWithinOnBall.comp_sub._simp_1_1
Mathlib.Analysis.Analytic.Basic
[ "Membership.mem", "Insert.insert", "Set.instInsert", "propext", "Or", "Set.mem_insert_iff", "Eq", "Set.instMembership", "Set" ]
false
ByteArray.utf8DecodeChar
Init.Data.String.Decode
[ "Bool.true", "Option.get", "Nat", "Bool", "Char", "ByteArray", "Option.isSome", "Eq", "ByteArray.utf8DecodeChar?" ]
true
CategoryTheory.Limits.Multicoequalizer.instEpiSigmaπ
Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer
[ "CategoryTheory.Limits.Multicoequalizer.isoCoequalizer", "CategoryTheory.Epi", "CategoryTheory.Limits.MultispanShape.L", "CategoryTheory.Limits.Multicoequalizer.sigmaπ", "CategoryTheory.Limits.MultispanShape", "CategoryTheory.epi_comp", "CategoryTheory.Limits.coequalizer.π_epi", "CategoryTheory.Limits...
true
_private.Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Formula.0.WeierstrassCurve.Projective.toAffine_negAddY_of_ne._simp_1_2
Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Formula
[ "False", "eq_false", "instOfNatNat", "Nat", "Zero.toOfNat0", "three_ne_zero", "NeZero", "OfNat.ofNat", "Eq", "OfNat", "Zero" ]
false
Lean.Compiler.LCNF.LetValue.const
Lean.Compiler.LCNF.Basic
[ "Lean.Compiler.LCNF.Arg", "Lean.Compiler.LCNF.LetValue", "Lean.Level", "Lean.Compiler.LCNF.Purity", "Lean.Compiler.LCNF.Purity.pure", "autoParam", "Array", "List", "Lean.Compiler.LCNF.LetValue._auto_3", "Lean.Name", "Eq", "Lean.Compiler.LCNF.LetValue.const" ]
true
CategoryTheory.JointlyReflectIsomorphisms.jointlyReflectsLimit
Mathlib.CategoryTheory.Functor.ReflectsIso.Limits
[ "CategoryTheory.JointlyReflectIsomorphisms", "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "CategoryTheory.Limits.PreservesLimit", "CategoryTheory.IsIso", "CategoryTheory.Functor.comp", "CategoryTheory.Limits.HasLimit", "CategoryTheory.Limits.limit.cone", "CategoryTheory.Limits.Cone.pt", ...
true
Batteries.RBNode.Mem_reverse
Batteries.Data.RBMap.Lemmas
[ "Batteries.RBNode", "Eq.mpr", "Batteries.RBNode.Mem", "Iff.of_eq", "congrArg", "Ordering", "Eq.rec", "Std.OrientedCmp", "flip", "id", "Ordering.swap", "funext", "Iff", "Batteries.RBNode.MemP", "Batteries.RBNode.memP_reverse._simp_1", "Batteries.RBNode.reverse", "Eq.refl", "congrFun...
true
Cardinal.mk_psum
Mathlib.SetTheory.Cardinal.Defs
[ "Equiv.psumEquivSum", "Cardinal", "PSum", "Cardinal.lift", "Cardinal.mk", "Sum", "Cardinal.instAdd", "instHAdd", "HAdd.hAdd", "Cardinal.mk_sum", "Eq", "Cardinal.mk_congr", "Eq.trans" ]
true
Lean.Server.FileWorker.SemanticTokensState.toCtorIdx
Lean.Server.FileWorker.SemanticHighlighting
[ "Lean.Server.FileWorker.SemanticTokensState.ctorIdx", "Lean.Server.FileWorker.SemanticTokensState", "Nat" ]
false
Std.HashMap.Raw.Equiv.getElem!_eq
Std.Data.HashMap.RawLemmas
[ "Std.DHashMap.Raw.Equiv.constGet!_eq", "Std.HashMap.Raw.WF.out", "Membership.mem", "Std.HashMap.Raw.WF", "LawfulHashable", "Std.HashMap.Raw", "EquivBEq", "Std.HashMap.Raw.instGetElem?Mem", "Inhabited", "Std.HashMap.Raw.inner", "Std.HashMap.Raw.instMembershipOfBEqOfHashable", "Hashable", "Std...
true
ContinuousMultilinearMap.curryMidEquiv._proof_1
Mathlib.Analysis.Normed.Module.Multilinear.Curry
[ "Norm.norm", "SeminormedAddGroup.toNorm", "Fin.succAbove", "ContinuousMultilinearMap.curryMid", "NormedCommRing.toSeminormedCommRing", "Real.instLE", "Real", "instHSMul", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "NormedSpace", "LinearEquiv.mk", "Dis...
false
FirstOrder.Language.Term.listEncode.eq_1
Mathlib.ModelTheory.Encoding
[ "FirstOrder.Language.Term.listEncode", "Sum", "Sum.inl", "List.cons", "List", "FirstOrder.Language.Term.var", "Nat", "FirstOrder.Language.Functions", "Eq.refl", "FirstOrder.Language", "Eq", "Sigma", "List.nil" ]
true
rootsOfUnityEquivNthRoots_apply
Mathlib.RingTheory.RootsOfUnity.Basic
[ "Units.val", "IsDomain", "Nat.instMulZeroClass", "CommRing", "Equiv.instEquivLike", "CommSemiring.toSemiring", "AddGroupWithOne.toAddMonoidWithOne", "Membership.mem", "Units", "Multiset", "Equiv", "Subtype", "Subgroup", "Units.instGroup", "rootsOfUnity", "Polynomial.nthRoots", "AddMo...
true
CategoryTheory.Functor.preservesMonomorphisms_of_adjunction
Mathlib.CategoryTheory.Functor.EpiMono
[ "CategoryTheory.Functor", "Equiv.instEquivLike", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "Eq.mp", "Equiv", "CategoryTheory.Functor.PreservesMonomorphisms.mk", "CategoryTheory.cancel_mono", "CategoryTheory.Functor.map", "CategoryTheory.Functor....
true
_private.Init.Grind.Module.NatModuleNorm.0.Lean.Grind.Linarith.Poly.denoteN_combine._proof_1_1
Init.Grind.Module.NatModuleNorm
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some", "Lean.Omega.LinearC...
false
CompactlyGenerated.instCategory._proof_9
Mathlib.Topology.Category.CompactlyGenerated
[ "Quiver.mk", "CategoryTheory.CategoryStruct.mk", "CategoryTheory.InducedCategory.instCategory._proof_6", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "TopCat.instCategory", "CategoryTheory.Category.assoc._autoParam", "CompactlyGenerated.instCategory._aux_1", "autoParam", "CompactlyGener...
false
_private.Mathlib.FieldTheory.LinearDisjoint.0.IntermediateField.LinearDisjoint.isDomain'._simp_1_2
Mathlib.FieldTheory.LinearDisjoint
[ "IntermediateField.isScalarTower_mid'", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "instSMulOfMul", "CommRing.toNonUnitalCommRing", "IntermediateField", "IntermediateField.toField", "Algebra", "IntermediateField.linearDisjoint_iff'", "Membership.mem", "Algebra.toModule", "Algebra.id", "S...
false
CochainComplex.HomComplex.Cochain.mk_v
Mathlib.Algebra.Homology.HomotopyCategory.HomComplex
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AddGroupWithOne.toAddMonoidWithOne", "AddRightCancelSemigroup.toAddSemigroup", "AddCancelMonoid.toAddRightCancelMonoid", "CochainComplex.HomComplex.Cochain.mk", "Int", "CategoryTheory.Preadditive", "AddMonoidWithOne.toOne", "instHAdd", "Ad...
true
Algebra.Generators.cotangentCompLocalizationAwayEquiv
Mathlib.RingTheory.Extension.Cotangent.LocalizationAway
[ "Algebra.Generators.cotangentCompLocalizationAwayEquiv._proof_6", "LinearMap.id", "Algebra.Generators.cotangentCompAwaySec", "Algebra.Generators.toComp", "LinearEquiv.symm", "CommRing", "Algebra.to_smulCommClass", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "Equiv.instEqu...
true
Meromorphic.mul
Mathlib.Analysis.Meromorphic.Basic
[ "NormedCommRing.toSeminormedCommRing", "MeromorphicAt.mul", "HMul.hMul", "Meromorphic", "NormedField.toField", "NormedCommRing.toNonUnitalNormedCommRing", "Field.toSemifield", "instDistribOfSemiring", "NonUnitalNormedRing.toNormedAddCommGroup", "Semifield.toDivisionSemiring", "Distrib.toMul", ...
true
Aesop.Frontend.RuleExpr.brecOn
Aesop.Frontend.RuleExpr
[ "Aesop.Frontend.RuleExpr.below_1", "Array", "List", "Aesop.Frontend.RuleExpr.brecOn.go", "Aesop.Frontend.RuleExpr", "Aesop.Frontend.RuleExpr.below", "Aesop.Frontend.RuleExpr.below_2" ]
false
ComplexShape.instDecidableRelRelDown
Mathlib.Algebra.Homology.ComplexShape
[ "One", "ComplexShape.down'", "DecidableRel", "AddRightCancelSemigroup.toAddSemigroup", "inferInstance", "id", "AddSemigroup.toAdd", "AddRightCancelSemigroup", "ComplexShape.instDecidableRelRelDown'", "One.toOfNat1", "ComplexShape.down", "OfNat.ofNat", "ComplexShape.Rel", "DecidableEq", "...
true
_private.Mathlib.FieldTheory.CardinalEmb.0.Field.Emb.Cardinal.termĒ
Mathlib.FieldTheory.CardinalEmb
[ "Lean.Name.mkNum", "Lean.Name.mkStr", "instOfNatNat", "Lean.Name.anonymous", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "Lean.ParserDescr.symbol", "OfNat.ofNat" ]
true
CategoryTheory.Limits.HasFiniteProducts
Mathlib.CategoryTheory.Limits.Shapes.FiniteProducts
[ "CategoryTheory.Limits.HasFiniteProducts.mk", "CategoryTheory.Category" ]
true
List.lt_findIdx_iff._proof_2
Init.Data.List.Find
[ "LE.le", "instLENat", "List", "_private.Init.Data.List.Find.0.List.lt_findIdx_iff._proof_1", "Nat", "LT.lt", "Decidable.byContradiction", "Nat.decLt", "instLTNat", "List.length", "Not" ]
false
MulRingNorm.isPowMul
Mathlib.Analysis.Normed.Unbundled.AlgebraNorm
[ "Eq.mpr", "Real.partialOrder", "Real", "Ring.toNonAssocRing", "congrArg", "MulRingNorm", "Real.semiring", "id", "_private.Mathlib.Analysis.Normed.Unbundled.AlgebraNorm.0.MulRingNorm.isPowMul._proof_1_1", "NonAssocSemiring.toMulZeroOneClass", "instOfNatNat", "map_pow", "LE.le", "instLENat",...
true
Submodule.colon_inf_eq_left_of_subset
Mathlib.RingTheory.Ideal.Colon
[ "SMulMemClass.smul_mem", "Eq.mpr", "Submodule", "Submodule.colon", "instHSMul", "Semiring.toModule", "congrArg", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "Membership.mem", "AddZeroClass.toAddZero", "id", "DistribSMul.toSMulZeroClass", "HasSubset.Subset", "Submodule.m...
true
_private.Lean.Elab.ElabRules.0.Lean.Elab.Command.elabElabRulesAux.match_1
Lean.Elab.ElabRules
[ "Unit.unit", "Option.casesOn", "Option.some", "Lean.Syntax", "Option.none", "Unit", "Option" ]
false
PolyEquivTensor.toFunLinear_one_tmul_one
Mathlib.RingTheory.PolynomialAlgebra
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "MulOne.toOne", "Polynomial.distribMulAction", "Polynomial.instOne", "Algebra.to_smulCommClass", "instHSMul", "Semiring.toModule", "Monoid.toMulOneClass", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "instDistri...
true
_private.Mathlib.Order.RelIso.Basic.0.RelEmbedding.isPartialOrder.match_1_1
Mathlib.Order.RelIso.Basic
[ "IsPartialOrder", "RelEmbedding" ]
false
Tactic.ComputeAsymptotics.Seq.instBoundedSpaceStream'
Mathlib.Tactic.ComputeAsymptotics.Multiseries.Corecursion
[ "Lattice.toSemilatticeSup", "PseudoMetricSpace.toBornology", "CompleteLattice.toLattice", "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "TopologicalSpace.instCompleteLattice", "CompleteLattice.toBoundedOrder", "PiNat.boundedSpace", "Bot.bot", "Stream'", "BoundedSpace", "Topol...
true
List.head_eq_iff_head?_eq_some
Init.Data.List.Lemmas
[ "List.head?", "List.head", "False", "congrArg", "False.elim", "Option.some.injEq", "Option.some", "Eq.mp", "not_true_eq_false", "Ne", "List.cons", "iff_self", "List", "Iff", "True", "List.casesOn", "eq_self", "of_eq_true", "Eq.ndrec", "Eq.refl", "Eq.symm", "Eq", "Not", ...
true
CategoryTheory.Bicategory.Strict.casesOn
Mathlib.CategoryTheory.Bicategory.Strict.Basic
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Bicategory.rightUnitor", "CategoryTheory.eqToIso", "CategoryTheory.Bicategory.Strict.rec", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Bicategory.Strict", "CategoryTheory.Iso", "CategoryTheory.Bicategory.toCategoryStruct...
false
_private.Lean.Meta.Match.SolveOverlap.0.Lean.Meta.Match.InjectionAnyResult.ctorElimType
Lean.Meta.Match.SolveOverlap
[ "cond", "Nat.ble", "_private.Lean.Meta.Match.SolveOverlap.0.Lean.Meta.Match.InjectionAnyResult.solved", "Lean.MVarId", "Lean.FVarId", "PULift", "Nat", "_private.Lean.Meta.Match.SolveOverlap.0.Lean.Meta.Match.InjectionAnyResult", "_private.Lean.Meta.Match.SolveOverlap.0.Lean.Meta.Match.InjectionAnyRe...
false
ISize.and_not_self
Init.Data.SInt.Bitwise
[ "ISize.toBitVec_ofNat", "BitVec.instAndOp", "BitVec.instOfNat", "congrArg", "BitVec", "ISize.toBitVec_not", "instOfNatNat", "instComplementISize", "BitVec.ofNat", "System.Platform.numBits", "ISize.toBitVec_and", "_private.Init.Data.SInt.Bitwise.0.ISize.and_not_self._simp_1_1", "ISize.instOfN...
true
CategoryTheory.Limits.Fork.op_ι_app_zero
Mathlib.CategoryTheory.Limits.Shapes.Opposites.Equalizers
[ "CategoryTheory.Functor.op", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "Opposite", "Quiver.opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.CategoryStruct.opposite", "congrArg", "Quiver.Hom.op", "Cat...
true
Vector.mem_ite_empty_right
Init.Data.Vector.Lemmas
[ "Vector.instMembership", "Eq.mpr", "False", "Decidable.casesOn", "eq_false", "Vector", "congrArg", "Decidable", "false_and", "Array.instMembership", "Membership.mem", "id", "List.mem_toArray._simp_1", "instOfNatNat", "List.not_mem_nil._simp_1", "if_pos", "List.toArray", "Array", ...
true
CategoryTheory.InducedWideCategory.Hom.mk.noConfusion
Mathlib.CategoryTheory.Widesubcategory
[ "CategoryTheory.MorphismProperty", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HEq.refl", "CategoryTheory.InducedWideCategory.Hom", "id", "CategoryTheory.InducedWideCategory.Hom.noConfusion", "heq_of_eq", "CategoryTheory.InducedWideCategory", "CategoryTheory.InducedWideCategory.Hom.mk...
false
AddMonoidAlgebra.mapDomainRingHom._proof_2
Mathlib.Algebra.MonoidAlgebra.MapDomain
[ "AddMonoidHom.instAddMonoidHomClass", "HMul.hMul", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "AddMonoidAlgebra.mapDomain", "AddMonoidAlgebra.instMul", "AddMonoidHomClass.toAddHomClass", "AddMonoidAlgebra.mapDomain_mul", "AddMonoid", "Semiring", "AddZero.toAdd", "AddMonoidAlgebra", ...
false
instInhabitedPUnit
Init.Core
[ "PUnit", "Inhabited", "PUnit.unit", "Inhabited.mk" ]
true
MeasureTheory.Measure.add_mconv
Mathlib.MeasureTheory.Group.Convolution
[ "Monoid", "Eq.mpr", "MeasureTheory.Measure.map_add", "Measurable.mul", "MeasureTheory.Measure", "HMul.hMul", "Monoid.toMulOneClass", "congrArg", "id", "MulOne.toMul", "Measurable.fst", "Prod.fst", "MeasurableSpace", "instHAdd", "MulOneClass.toMulOne", "MeasureTheory.SFinite", "Measur...
true
Nat.ascFactorial_of_sub
Mathlib.Data.Nat.Factorial.Basic
[ "Eq.mpr", "HMul.hMul", "congrArg", "HSub.hSub", "Nat.ascFactorial", "Nat.ascFactorial_succ", "id", "instSubNat", "instMulNat", "instOfNatNat", "instHAdd", "instHSub", "HAdd.hAdd", "Nat", "instAddNat", "Eq.refl", "OfNat.ofNat", "Nat.succ", "Eq", "Nat.succ_ascFactorial", "instH...
true
SlashInvariantForm.coe_intCast
Mathlib.NumberTheory.ModularForms.SlashInvariantForms
[ "SlashInvariantForm", "Int.cast", "Subgroup.HasDetPlusMinusOne", "Real", "Matrix", "Pi.instIntCast", "instDecidableEqFin", "SlashInvariantForm.funLike", "Real.semiring", "Subgroup", "instOfNatNat", "Int", "Units.instGroup", "Real.commRing", "Complex.instIntCast", "SlashInvariantForm.in...
true
RingEquiv.asBoolRingAsBoolAlg
Mathlib.Algebra.Ring.BooleanRing
[ "CommSemiring.toSemiring", "Equiv.trans", "BooleanRing.toCommRing", "AsBoolAlg", "Equiv", "Distrib.toAdd", "RingEquiv.asBoolRingAsBoolAlg._proof_1", "ofBoolAlg_symmDiff", "AsBoolRing", "ofBoolAlg", "instDistribOfSemiring", "CommRing.toCommSemiring", "Distrib.toMul", "instBooleanRingAsBoolR...
true
_private.Lean.Meta.IndPredBelow.0.Lean.Meta.IndPredBelow.Context.noConfusionType
Lean.Meta.IndPredBelow
[ "Lean.FVarIdMap", "Lean.Expr", "Array", "List", "Nat", "Bool", "Lean.Name", "Eq", "_private.Lean.Meta.IndPredBelow.0.Lean.Meta.IndPredBelow.Context.casesOn", "_private.Lean.Meta.IndPredBelow.0.Lean.Meta.IndPredBelow.Context" ]
false
PNat.instHasAntidiagonal._proof_6
Mathlib.Algebra.Order.Antidiag.Nat
[ "PNat.val", "Iff.mpr", "PNat.ne_zero._simp_1", "Eq.mpr", "False", "HMul.hMul", "Nat.divisorsAntidiagonal", "_private.Mathlib.Algebra.Order.Antidiag.Nat.0.PNat.instHasAntidiagonal._simp_5", "and_true", "Iff.of_eq", "congrArg", "Finset", "_private.Mathlib.Algebra.Order.Antidiag.Nat.0.PNat.inst...
false
_private.Mathlib.Algebra.Order.Group.Multiset.0.Multiset.filter_nsmul._simp_1_2
Mathlib.Algebra.Order.Group.Multiset
[ "Membership.mem", "Multiset", "Multiset.filter_eq_nil", "Multiset.instMembership", "DecidablePred", "propext", "Zero.toOfNat0", "OfNat.ofNat", "Eq", "Not", "Multiset.filter", "Multiset.instZero" ]
false
CategoryTheory.MonoidalCategory.Arrow.PullbackHom.isTerminalIso
Mathlib.CategoryTheory.Monoidal.PushoutProduct
[ "CategoryTheory.Limits.IsTerminal.from", "CategoryTheory.Limits.pullback", "CategoryTheory.Functor", "CategoryTheory.Functor.PullbackObjObj.π", "Opposite", "CategoryTheory.MonoidalCategory.Arrow.PullbackHom.isTerminalIso._proof_2", "CategoryTheory.Limits.IsTerminal", "CategoryTheory.MonoidalCategory.A...
true
instLawfulOfScientificOfCharZero
Mathlib.Data.Rat.Cast.OfScientific
[ "Nat.cast_mul._simp_1", "Rat.instOfNat", "Lean.Grind.LawfulOfScientific", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Lean.Grind.Field.toCommRing", "Subtype.mk.congr_simp", "Decidable.casesOn", "NNRatCast.toOfScientific", "Rat.ofScientific_nonneg", "instHDiv", "Lean.Grind.Field.toDiv...
true
Int16.neg_one_or
Init.Data.SInt.Bitwise
[ "Eq.mpr", "instHOrOfOrOp", "Int16", "congrArg", "Int16.instOfNat", "Int16.toBitVec_one", "BitVec.neg_one_eq_allOnes", "BitVec.instOrOp", "BitVec.allOnes", "BitVec", "id", "instOfNatNat", "BitVec.ofNat", "BitVec.instNeg", "Int16.toBitVec_neg", "HOr.hOr", "BitVec.allOnes_or", "Nat", ...
true