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module
stringlengths
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bool
2 classes
_private.Mathlib.RingTheory.Kaehler.Basic.0.KaehlerDifferential.range_kerCotangentToTensor._simp_1_4
Mathlib.RingTheory.Kaehler.Basic
[ "Submodule", "LinearMap.instFunLike", "RingHom", "Membership.mem", "Exists", "LinearMap.range", "LinearMap", "AddCommMonoid", "LinearMap.mem_range", "Submodule.setLike", "propext", "Semiring", "RingHomSurjective", "Module", "Semiring.toNonAssocSemiring", "Eq", "DFunLike.coe", "SetL...
false
Complex.imLm_coe
Mathlib.LinearAlgebra.Complex.Module
[ "Complex.imLm", "Real", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "CommRing.toNonUnitalCommRing", "Complex.commRing", "Complex.im", "LinearMap.instFunLike", "Real.semiring", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "LinearMap", "Complex.addCommGroup", ...
true
Batteries.Tactic._aux_Batteries_Tactic_Init___elabRules_Batteries_Tactic_tacticFapply__1
Batteries.Tactic.Init
[ "Lean.TSyntax", "Lean.MessageData", "Lean.instMonadExceptOfExceptionCoreM", "Lean.Meta.ApplyNewGoals.all", "Lean.Meta.State", "Lean.Syntax.isOfKind", "Lean.Elab.Tactic.Context", "Lean.TSyntax.mk", "Lean.Syntax", "Lean.MVarId", "Lean.Name.mkStr3", "Lean.TSyntax.raw", "Lean.Expr", "Lean.Meta...
false
IsLocalization.orderIsoOfPrime._proof_3
Mathlib.RingTheory.Localization.Ideal
[ "Semiring.toModule", "ChainCompletePartialOrder.instOfCompleteLattice", "IsLocalization", "Algebra.algebraMap", "CompleteBooleanAlgebra.toCompleteDistribLattice", "CommSemiring.toSemiring", "Algebra", "RingHom", "Disjoint", "Subtype", "Ideal.map", "IsLocalization.isPrime_of_isPrime_disjoint", ...
false
PLift._sizeOf_1
Init.SizeOf
[ "PLift", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "PLift.rec", "instAddNat", "SizeOf", "OfNat.ofNat" ]
false
GaloisInsertion.monotoneIntro._proof_1
Mathlib.Order.GaloisConnection.Defs
[ "Monotone", "Preorder.toLE", "LE.le", "GaloisConnection.monotone_intro", "le_of_eq", "Eq", "Preorder", "GaloisConnection" ]
false
Std.ExtTreeMap.insertIfNew_ne_empty._simp_1
Std.Data.ExtTreeMap.Lemmas
[ "Std.ExtTreeMap.insertIfNew_ne_empty", "False", "eq_false", "Ordering", "Std.TransCmp", "Std.ExtTreeMap", "Std.ExtTreeMap.insertIfNew", "EmptyCollection.emptyCollection", "Std.ExtTreeMap.instEmptyCollection", "Eq" ]
false
Option.pure_apply
Init.Data.Option.Lemmas
[ "Pure.pure", "instAlternativeOption", "Option.some", "Applicative.toPure", "Alternative.toApplicative", "Eq", "rfl", "Option" ]
true
IsUpperSet.disjoint_lowerClosure_right._simp_1
Mathlib.Order.UpperLower.Closure
[ "CompleteBooleanAlgebra.toCompleteDistribLattice", "IsUpperSet", "Preorder.toLE", "Disjoint", "CompleteLattice.toCompleteSemilatticeInf", "CompleteSemilatticeInf.toPartialOrder", "SetLike.coe", "propext", "CompleteDistribLattice.toFrame", "CompleteBooleanAlgebra.toCompleteLattice", "Order.Frame....
false
AddMonoid.End.instModule
Mathlib.Algebra.Module.Hom
[ "AddMonoid.toAddZeroClass", "AddMonoid.End.instModule._proof_2", "Module.mk", "AddZeroClass.toAddZero", "AddMonoid.End.instAddCommMonoid", "AddCommMonoid", "Semiring.toMonoid", "AddMonoid.End.instDistribMulAction", "Semiring", "Module.toDistribMulAction", "AddCommMonoid.toAddMonoid", "AddMonoi...
true
nsmulBinRec
Mathlib.Algebra.Group.Defs
[ "nsmulBinRec.go", "Nat", "Zero.toOfNat0", "OfNat.ofNat", "Add", "Zero" ]
true
_private.Std.Data.DHashMap.Internal.AssocList.Basic.0.Std.DHashMap.Internal.AssocList.filterMap.go._unsafe_rec
Std.Data.DHashMap.Internal.AssocList.Basic
[ "_private.Std.Data.DHashMap.Internal.AssocList.Basic.0.Std.DHashMap.Internal.AssocList.alter.match_1", "_private.Std.Data.DHashMap.Internal.AssocList.Basic.0.Std.DHashMap.Internal.AssocList.filterMap.go._unsafe_rec", "_private.Std.Data.DHashMap.Internal.AssocList.Basic.0.Std.DHashMap.Internal.AssocList.toList.m...
false
Part.eq_get_iff_mem
Mathlib.Data.Part
[ "Part", "Membership.mem", "Part.instMembership", "Part.get", "eq_comm", "Iff", "Part.get_eq_iff_mem", "Part.Dom", "Iff.trans", "Eq" ]
true
VectorBundleCore.addCommGroupFiber._proof_21
Mathlib.Topology.VectorBundle.Basic
[ "VectorBundleCore.Fiber", "NormedSpace", "AddCommGroup.toAddGroup", "Int", "Nat.cast", "autoParam", "TopologicalSpace", "AddGroup.toSubNegMonoid", "Nat", "SubNegMonoid.zsmul_neg'", "NontriviallyNormedField", "VectorBundleCore.addCommGroupFiber._aux_17", "NormedAddCommGroup.toAddCommGroup", ...
false
StructureGroupoid.partialOrder._proof_1
Mathlib.Geometry.Manifold.StructureGroupoid
[ "OpenPartialHomeomorph.trans", "Membership.mem", "Exists", "Eq.rec", "StructureGroupoid", "StructureGroupoid.mk", "TopologicalSpace", "And", "OpenPartialHomeomorph.eqOnSourceSetoid", "HasEquiv.Equiv", "instHasEquivOfSetoid", "Eq.ndrec", "StructureGroupoid.casesOn", "PartialEquiv.source", ...
false
Int16.ofIntLE_bitVecToInt
Init.Data.SInt.Lemmas
[ "Int16", "BitVec.ofInt_toInt", "Int16.ofIntLE_bitVecToInt._proof_1", "congrArg", "Int16.ofBitVec", "BitVec", "BitVec.ofInt", "instOfNatNat", "Int16.toBitVec_ofBitVec", "Int16.toBitVec_ofIntLE", "Int16.toBitVec.inj", "Nat", "Int16.toBitVec", "congr", "True", "eq_self", "Int16.ofIntLE"...
true
MeasureTheory.IntegrableOn.mul_continuousOn_of_subset
Mathlib.MeasureTheory.Function.LocallyIntegrable
[ "Norm.norm", "SeminormedAddGroup.toNorm", "Real.instLE", "Real", "MeasureTheory.Measure", "NormedRing.toRing", "HMul.hMul", "MeasurableSet", "PseudoMetricSpace.toUniformSpace", "Membership.mem", "Exists", "MeasureTheory.ae_restrict_of_forall_mem", "NormedRing.toNonUnitalNormedRing", "Measu...
true
IsUltrametricDist.nnnorm_eq_of_mul_nnnorm_lt_max
Mathlib.Analysis.Normed.Group.Ultra
[ "False", "Preorder.toLT", "HMul.hMul", "Monoid.toMulOneClass", "NNNorm.nnnorm", "SeminormedGroup", "SeminormedGroup.toGroup", "PartialOrder.toPreorder", "SeminormedGroup.toPseudoMetricSpace", "Function.comp", "SemilatticeSup.toMax", "NNReal.instSemilatticeSup", "MulOne.toMul", "DivInvMonoi...
true
Std.ExtDTreeMap.size_insertIfNew
Std.Data.ExtDTreeMap.Lemmas
[ "Std.DTreeMap", "Membership.mem", "Std.ExtDTreeMap.instDecidableMem", "Ordering", "instOfNatNat", "Std.TransCmp", "Std.ExtDTreeMap.insertIfNew", "instHAdd", "HAdd.hAdd", "Nat", "Std.ExtDTreeMap.inductionOn", "Std.DTreeMap.size_insertIfNew", "Std.ExtDTreeMap", "Std.ExtDTreeMap.size", "ins...
true
Eq
Init.Prelude
[ "Eq.refl" ]
true
Std.TreeSet.min!_erase_eq_of_not_compare_min!_eq
Std.Data.TreeSet.Lemmas
[ "Std.TreeSet", "Std.TreeSet.isEmpty", "Ordering", "Std.TreeSet.inner", "Ordering.eq", "Std.TreeMap.minKey!_erase_eq_of_not_compare_minKey!_eq", "Std.TransCmp", "Unit", "Std.TreeSet.min!", "Bool", "Inhabited", "Std.TreeSet.erase", "Bool.false", "Eq", "Not" ]
true
MvPowerSeries.commute_X_pow
Mathlib.RingTheory.MvPowerSeries.Basic
[ "Commute.pow_right", "MvPowerSeries.commute_X", "Commute", "MvPowerSeries", "MvPowerSeries.instMul", "Monoid.toPow", "MvPowerSeries.instSemiring", "MvPowerSeries.X", "HPow.hPow", "Nat", "Semiring.toMonoid", "Semiring", "instHPow" ]
true
ProofWidgets.checkRequest
ProofWidgets.Cancellable
[ "Pure.pure", "Lean.Server.RequestContext", "Lean.Json", "ProofWidgets.CheckRequestResponse", "IO.hasFinished", "Bool.not", "Lean.Server.RequestError", "instMonadExceptOfMonadExceptOf", "Lean.Server.RequestM.asTask", "IO.instMonadLiftSTRealWorldBaseIO", "ReaderT", "String", "ST.Ref.modify", ...
true
AddMonoidHom.liftOfRightInverse
Mathlib.Algebra.Group.Subgroup.Basic
[ "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "AddSubgroup.instPartialOrder", "Preorder.toLE", "AddMonoidHom.liftOfRightInverse._proof_2", "AddZeroClass.toAddZero", "Equiv.mk", "AddMonoidHom.liftOfRightInverse._proof_3", "Equiv", "Subtype", "LE.le", "Subtype.mk", "AddSubgroup", "A...
true
Prod.comul_comp_fst
Mathlib.RingTheory.Coalgebra.Basic
[ "LinearMap.id", "LinearMap.fst", "Eq.mpr", "Coalgebra.toCoalgebraStruct", "LinearMap.fst_comp_inr", "LinearMap.inl", "Coalgebra", "congrArg", "CommSemiring.toSemiring", "TensorProduct.addCommMonoid", "LinearMap.comp_assoc", "LinearMap.comp_zero", "id", "RingHomCompTriple.right_ids", "Ten...
true
MvPowerSeries.trunc'_C_mul
Mathlib.RingTheory.MvPowerSeries.Trunc
[ "Finsupp.instAddZeroClass", "Nat.instCanonicallyOrderedAdd", "Finsupp.instLE", "Nat.instMulZeroClass", "Semiring.toModule", "HMul.hMul", "AddMonoidAlgebra.addAddCommMonoid", "Finsupp.decidableLE", "congrArg", "CommSemiring.toSemiring", "MvPolynomial.ext", "AddMonoid.toAddZeroClass", "LinearM...
true
Ordinal.nfpFamily
Mathlib.SetTheory.Ordinal.FixedPoint
[ "iSup", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", "Ordinal.instConditionallyCompleteLinearOrderBot", "List", "ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder", "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder", "ConditionallyCompletePartia...
true
_private.Mathlib.CategoryTheory.Sites.Coverage.0.CategoryTheory.Coverage.saturate_iff_saturate_toPrecoverage._proof_1_14
Mathlib.CategoryTheory.Sites.Coverage
[ "CategoryTheory.Coverage", "False", "eq_false", "CategoryTheory.Presieve", "Classical.byContradiction", "Lean.Grind.eq_false_of_imp_eq_true", "Membership.mem", "Eq.mp", "id", "CategoryTheory.Coverage.Saturate.of", "True", "eq_true", "CategoryTheory.Precoverage.coverings", "Eq.refl", "Cat...
false
Lean.mkApp9
Lean.Expr
[ "Lean.mkApp4", "Lean.Expr", "Lean.mkApp5" ]
true
CauSeq.add_equiv_add
Mathlib.Algebra.Order.CauSeq.Basic
[ "congrArg", "CauSeq.ring", "LinearOrder", "AddMonoid.toAddZeroClass", "HSub.hSub", "IsStrictOrderedRing", "SemilatticeInf.toPartialOrder", "AddZeroClass.toAddZero", "Eq.mp", "DistribLattice.toLattice", "SubtractionMonoid.toSubNegMonoid", "SubtractionCommMonoid.toSubtractionMonoid", "Field.to...
true
MeasureTheory.setIntegral_neg_eq_setIntegral_nonpos
Mathlib.MeasureTheory.Integral.Bochner.Set
[ "MeasureTheory.ae", "Eq.mpr", "Real", "MeasureTheory.Measure", "Preorder.toLT", "NormedSpace", "congrArg", "_private.Mathlib.MeasureTheory.Integral.Bochner.Set.0.MeasureTheory.setIntegral_neg_eq_setIntegral_nonpos._simp_1_1", "NormedAddCommGroup.toMetricSpace", "EMetricSpace.metrizableSpace", "P...
true
Nonneg.unitsEquivPos_apply_coe
Mathlib.Algebra.Order.Nonneg.Field
[ "Units.val", "MulEquiv.instEquivLike", "Preorder.toLT", "IsOrderedRing.toPosMulMono", "Nonneg.semiring", "PartialOrder.toPreorder", "IsStrictOrderedRing", "Preorder.toLE", "Units", "PartialOrder", "Subtype", "LE.le", "Nonneg.unitsEquivPos._proof_5", "instDistribOfSemiring", "NonUnitalNon...
true
_private.Lean.Meta.Tactic.Grind.Arith.Linear.Util.0.Lean.Grind.Linarith.Poly.eval?.go._unsafe_rec
Lean.Meta.Tactic.Grind.Arith.Linear.Util
[ "_private.Lean.Meta.Tactic.Grind.Arith.Linear.Util.0.Lean.Grind.Linarith.Poly.eval?.go.match_1", "Int.cast", "Rat.instMul", "Lean.PersistentArray.size", "HMul.hMul", "Rat", "Option.some", "Lean.PArray", "Rat.instIntCast", "Int", "Lean.PersistentArray", "Lean.Grind.Linarith.Var", "dite", "G...
false
_private.Init.Data.Range.Polymorphic.SInt.0.Int32.instLawfulUpwardEnumerable
Init.Data.Range.Polymorphic.SInt
[ "Eq.mpr", "instLEInt32", "Std.PRange.UpwardEnumerable", "congrArg", "_private.Init.Data.Range.Polymorphic.Internal.SignedBitVec.0.BitVec.Signed.instLE", "_private.Init.Data.Range.Polymorphic.SInt.0.Int32.instHasModelBitVecOfNatNat", "_private.Init.Data.Range.Polymorphic.SInt.0.HasModel.instUpwardEnumera...
true
_private.Lean.Elab.Tactic.Induction.0.Lean.Elab.Tactic.ElimApp.State.mk.injEq
Lean.Elab.Tactic.Induction
[ "Eq.propIntro", "Lean.injEq_helper", "Lean.MVarId", "Lean.Expr", "Array", "And", "_private.Lean.Elab.Tactic.Induction.0.Lean.Elab.Tactic.ElimApp.State.mk", "Lean.Elab.Tactic.ElimApp.Alt", "Nat", "_private.Lean.Elab.Tactic.Induction.0.Lean.Elab.Tactic.ElimApp.State", "Eq.ndrec", "Eq.refl", "_...
true
MeasureTheory.VectorMeasure.integral_smul
Mathlib.MeasureTheory.VectorMeasure.Integral
[ "Real", "instHSMul", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "NormedSpace", "ContinuousLinearMap.topologicalSpace", "Real.instZero", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", ...
true
Polynomial.ofFinsupp
Mathlib.Algebra.Polynomial.Basic
[ "Polynomial", "Nat", "Semiring", "AddMonoidAlgebra", "Polynomial.ofFinsupp" ]
true
_private.Mathlib.Combinatorics.Additive.CauchyDavenport.0.DevosAddRel
Mathlib.Combinatorics.Additive.CauchyDavenport
[ "Function.onFun", "Finset", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "Prod.Lex", "Prod.mk", "Prod.fst", "GT.gt", "instHAdd", "AddGroup", "AddGroup.toSubNegMonoid", "HAdd.hAdd", "Nat", "LT.lt", "Finset.card", "instAddNat", "AddZero.toAdd", "instLTNat", "Finset.add", ...
true
AlgebraicGeometry.Scheme.descResidueField_fromSpecResidueField
Mathlib.AlgebraicGeometry.ResidueField
[ "AlgebraicGeometry.Spec", "AlgebraicGeometry.Scheme", "CommRingCat.Hom.hom", "CommRingCat.carrier", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CommSemiring.toSemiring", "CommRingCat", "RingHom", "AlgebraicGeometry.Spec.map"...
true
_private.Mathlib.MeasureTheory.Integral.Bochner.Basic.0.MeasureTheory.HasFiniteIntegral.tendsto_setIntegral_nhds_zero._simp_1_3
Mathlib.MeasureTheory.Integral.Bochner.Basic
[ "NNReal.instTopologicalSpace", "Real", "PseudoMetricSpace.toUniformSpace", "nhds", "NNReal", "Filter.Tendsto", "propext", "Real.pseudoMetricSpace", "NNReal.tendsto_coe", "UniformSpace.toTopologicalSpace", "Eq", "NNReal.toReal", "Filter" ]
false
Lean.Elab.Term.Quotation.elabNoErrorIfUnused._regBuiltin.Lean.Elab.Term.Quotation.elabNoErrorIfUnused_1
Lean.Elab.Quotation
[ "Lean.Elab.Term.TermElab", "Lean.Elab.Term.Quotation.elabNoErrorIfUnused", "Lean.Name.mkStr5", "IO", "Lean.Elab.Term.termElabAttribute", "Unit", "Lean.Name.mkStr4", "Lean.KeyedDeclsAttribute.addBuiltin" ]
false
Std.Tactic.BVDecide.BVExpr.WithCache.noConfusionType
Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Expr
[ "Std.Sat.AIG", "Std.Tactic.BVDecide.BVExpr.Cache", "HEq", "Std.Tactic.BVDecide.BVExpr.WithCache", "Std.Tactic.BVDecide.instDecidableEqBVBit", "Std.Tactic.BVDecide.BVExpr.WithCache.casesOn", "Std.Tactic.BVDecide.BVBit", "Std.Tactic.BVDecide.instHashableBVBit" ]
false
Nat.dvd_ofDigits_sub_ofDigits
Mathlib.Data.Nat.Digits.Lemmas
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "CommRing", "Dvd.dvd", "HMul.hMul", "CommRing.toNonUnitalCommRing", "sub_self", "AddGroupWithOne.toAddGroup", "congrArg", "CommSemiring.toSemiring", "Nat.ofDigits", "add_sub_add_left_eq_sub", "AddMonoid.toAddZeroClass", "semigroupDvd", ...
true
TestFunction.instT3Space
Mathlib.Analysis.Distribution.TestFunction
[ "NormedCommRing.toSeminormedCommRing", "Real", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "NormedSpace", "Real.denselyNormedField", "NormedAddCommGroup.toMetricSpace", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "ContinuousLinearMap.fu...
true
_private.Lean.Parser.Extension.0.Lean.Parser.mkInputContext._proof_1
Lean.Parser.Extension
[ "Lean.FileMap.toPosition", "String", "Lean.FileMap", "Lean.FileMap.source", "String.crlfToLf", "Lean.FileMap.ofPosition", "instDecidableEqBool", "Prod.mk", "Lean.Position", "LE.le", "String.Pos.Raw", "Lean.FileMap.ofString", "Prod.fst", "String.Pos.Raw.le_refl._simp_1", "String.rawEndPos...
false
CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageXIso
Mathlib.Algebra.Homology.SpectralObject.SpectralSequence
[ "CategoryTheory.Abelian.SpectralObject.E", "CategoryTheory.Abelian.SpectralObject.SpectralSequenceDataCore.i₃", "CategoryTheory.Abelian.SpectralObject.SpectralSequenceDataCore.le₀₁'", "CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageX._proof_2", "CategoryTheory.Abelian.SpectralObject.SpectralSequ...
true
Std.Http.Method.versionControl
Std.Internal.Http.Data.Method
[ "Std.Http.Method", "Std.Http.Method.versionControl" ]
true
Finsupp.optionElim_some
Mathlib.Data.Finsupp.Option
[ "Finsupp.instFunLike", "Eq.mpr", "Finsupp.ext", "congrArg", "Option.casesOn", "Finsupp.some", "Finsupp.optionElim", "Option.some", "id", "Option.none", "True", "eq_self", "Finsupp.optionElim_apply_eq_elim", "of_eq_true", "Eq.ndrec", "Eq.refl", "congrFun'", "Eq.symm", "Eq", "DFu...
true
AbsoluteValue.Completion.extensionEmbedding_of_comp._proof_6
Mathlib.Analysis.Normed.Field.WithAbs
[ "Norm.norm", "NormedCommRing.toSeminormedCommRing", "RingHom.instRingHomClass", "Real.partialOrder", "Real", "RingHomClass.toAddMonoidHomClass", "AddMonoidHomClass.isometry_of_norm", "WithAbs", "WithAbs.ofAbs", "RingHom", "NormedField.toField", "Real.semiring", "NormedField.toNorm", "Field...
false
Std.Slice.Internal.ListSliceData.list
Init.Data.Slice.List.Basic
[ "Std.Slice.Internal.ListSliceData", "List" ]
true
_private.Mathlib.Combinatorics.Enumerative.Catalan.Basic.0.gosper_trick._simp_1_5
Mathlib.Combinatorics.Enumerative.Catalan.Basic
[ "False", "HMul.hMul", "eq_false", "Mul", "Ne", "NoZeroDivisors", "Zero.toOfNat0", "mul_ne_zero", "OfNat.ofNat", "Eq", "instHMul", "Zero" ]
false
Fin.map_rev_find?
Batteries.Data.Fin.Lemmas
[ "congrArg", "Fin.findRev?", "_private.Batteries.Data.Fin.Lemmas.0.Fin.map_rev_find?._simp_1_1", "funext", "Option.map", "Fin.rev", "Fin.find?", "Nat", "True", "eq_self", "Bool", "of_eq_true", "congrFun'", "Fin.rev_rev", "Fin", "Eq", "Eq.trans", "Option" ]
true
CategoryTheory.Functor.fullSubcategoryInclusion_additive
Mathlib.CategoryTheory.Preadditive.AdditiveFunctor
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ObjectProperty.ι", "AddCommGroup.toAddCommMonoid", "CategoryTheory.Functor.Additive", "id", "CategoryTheory.Functor.map", "CategoryTheory.Preadditive.fullSubcategory", "CategoryTheory.Preadditive", "CategoryTheory.Functor.Addi...
true
CategoryTheory.Closed.rec
Mathlib.CategoryTheory.Monoidal.Closed.Basic
[ "CategoryTheory.Functor", "CategoryTheory.MonoidalCategory", "CategoryTheory.MonoidalCategory.tensorLeft", "CategoryTheory.Adjunction", "CategoryTheory.Closed.mk", "CategoryTheory.Closed", "CategoryTheory.Category" ]
false
Lean.Parser.instInhabitedPrattParsingTables
Lean.Parser.Basic
[ "Lean.Parser.Parser", "Lean.Parser.TokenMap", "Lean.Parser.PrattParsingTables.mk", "Nat", "Lean.Parser.PrattParsingTables", "Inhabited", "Lean.Parser.TokenMap.instEmptyCollection", "EmptyCollection.emptyCollection", "Prod", "Inhabited.mk", "List.nil" ]
true
Mathlib.Meta.Positivity.evalMap
Mathlib.Tactic.Positivity.Basic
[ "Pure.pure", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Lean.Meta.mkAppOptM", "Mathlib.Meta.Positivity.Strictness", "Mathlib.Meta.Positivity.PositivityExt", "String", "Lean.Meta.State", "Lean.Expr.const", "Lean.instAddErrorMessageContextOfAddMessageContextOfMonad", "Option.so...
true
YoungDiagram.transpose_mono
Mathlib.Combinatorics.Young.YoungDiagram
[ "Iff.mpr", "YoungDiagram.transpose", "YoungDiagram", "PartialOrder.toPreorder", "YoungDiagram.instPartialOrder", "Preorder.toLE", "LE.le", "YoungDiagram.transpose_le_iff" ]
true
_private.Mathlib.AlgebraicTopology.Quasicategory.Basic.0.SSet.Quasicategory.hornFilling._proof_1_4
Mathlib.AlgebraicTopology.Quasicategory.Basic
[ "Zero.ofOfNat0", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat.instNeZeroSucc", "Nat", "instAddNat", "NeZero", "OfNat.ofNat" ]
false
Std.DHashMap.instEmptyCollection
Std.Data.DHashMap.Basic
[ "instOfNatNat", "EmptyCollection.mk", "Nat", "Hashable", "EmptyCollection", "OfNat.ofNat", "Std.DHashMap.emptyWithCapacity", "BEq", "Std.DHashMap" ]
true
List.findSome?.match_1
Init.Data.List.Basic
[ "Unit.unit", "Option.casesOn", "Option.some", "Option.none", "Unit", "Option" ]
false
_private.Mathlib.Lean.Meta.RefinedDiscrTree.Encode.0.Lean.Meta.RefinedDiscrTree.lambdaTelescopeReduce._unsafe_rec
Mathlib.Lean.Meta.RefinedDiscrTree.Encode
[ "Lean.Meta.DiscrTree.hasNoindexAnnotation", "Lean.LocalDeclKind.default", "ReaderT", "Lean.Expr.fvarId!", "Lean.Meta.State", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "Lean.FVarId", "instDecidableEqBool", "liftM", "MonadLiftT", "_private.Mathlib.Lean.Meta.RefinedDiscrTree.Encode.0.Lean...
false
CategoryTheory.Functor.LeftLinear.δₗ_comp_μₗ_assoc
Mathlib.CategoryTheory.Monoidal.Action.LinearFunctor
[ "CategoryTheory.Functor.LaxLeftLinear.μₗ", "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.LeftLinear.toOplaxLeftLinear", "CategoryTheory.Functor.LeftLinear.toLaxLeftLinear", "CategoryTheory.Monoid...
true
_private.Mathlib.NumberTheory.ModularForms.EisensteinSeries.E2.Defs.0.EisensteinSeries.D2_inv._simp_1_1
Mathlib.NumberTheory.ModularForms.EisensteinSeries.E2.Defs
[ "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "instHAdd", "AddGroup", "AddGroup.toSubNegMonoid", "HAdd.hAdd", "propext", "AddZero.toAdd", "Zero.toOfNat0", ...
false
CategoryTheory.Limits.Multicofork.fst_app_right
Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer
[ "CategoryTheory.Limits.Multicofork", "Eq.mpr", "CategoryTheory.Functor", "CategoryTheory.Limits.WalkingMultispan", "CategoryTheory.Limits.MultispanShape.L", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Limits.MultispanShape", "CategoryTheory.Limits.MultispanI...
true
Submodule.instModuleQuotientIdealSpanSingletonSetSubtypeMemTorsionBy
Mathlib.Algebra.Module.Torsion.Basic
[ "Submodule", "CommRing", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Submodule.torsionBy", "Submodule.addCommMonoid", "Module.mk", "Membership.mem", "Submodule.instModuleQuotientIdealSpanSingletonSetSubtypeMemTorsionBy._proof_6", "AddCommGroup", "Set.instSingletonSet", "Subtype...
true
_private.Mathlib.Algebra.Homology.SpectralObject.SpectralSequence.0.CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageD_eq._proof_1_2
Mathlib.Algebra.Homology.SpectralObject.SpectralSequence
[ "Int.Linear.eq_of_core", "Lean.RArray.leaf", "False", "HMul.hMul", "congrArg", "Int.Linear.eq_norm", "Classical.byContradiction", "Eq.mp", "Lean.RArray.branch", "Int.Linear.Expr.add", "id", "Lean.RArray", "Int.instNegInt", "instOfNatNat", "Int", "Int.Linear.Poly.num", "ComplexShape",...
false
CategoryTheory.IsConnected.recOn
Mathlib.CategoryTheory.IsConnected
[ "CategoryTheory.IsPreconnected", "CategoryTheory.IsConnected.mk", "CategoryTheory.IsConnected", "Nonempty", "CategoryTheory.IsConnected.rec", "CategoryTheory.Category" ]
false
ClosedSubgroup.instSemilatticeInfClosedSubgroup.eq_1
Mathlib.Topology.Algebra.Group.ClosedSubgroup
[ "ClosedSubgroup.instPartialOrder", "ClosedSubgroup.instSetLike", "Preorder.toLT", "PartialOrder.toPreorder", "Group", "Preorder.toLE", "CompleteLattice.toConditionallyCompleteLattice", "ClosedSubgroup.instSemilatticeInfClosedSubgroup._proof_2", "ClosedSubgroup.instSemilatticeInfClosedSubgroup._proof...
true
Lean.Lsp.CallHierarchyPrepareParams._sizeOf_inst
Lean.Data.Lsp.LanguageFeatures
[ "Lean.Lsp.CallHierarchyPrepareParams._sizeOf_1", "Lean.Lsp.CallHierarchyPrepareParams", "SizeOf.mk", "SizeOf" ]
false
DirectSum.sigmaCurryEquiv._proof_1
Mathlib.Algebra.DirectSum.Basic
[ "Function.LeftInverse", "AddMonoid.toAddZeroClass", "DFinsupp.sigmaCurryEquiv", "AddZeroClass.toAddZero", "Sigma.fst", "Equiv.toFun", "AddCommMonoid", "AddZero.toZero", "DFinsupp.instZero", "DFinsupp", "AddCommMonoid.toAddMonoid", "Sigma.snd", "Sigma", "Equiv.invFun", "Equiv.left_inv", ...
false
ContinuousWithinAt.inf'
Mathlib.Topology.Order.Lattice
[ "ContinuousWithinAt", "Pi.instMinForall_mathlib", "nhdsWithin", "Min", "TopologicalSpace", "ContinuousInf", "Filter.Tendsto.inf_nhds'", "Min.min", "Set" ]
true
_private.Mathlib.RingTheory.Support.0.Module.notMem_support_iff'._simp_1_3
Mathlib.RingTheory.Support
[ "MulOne.toOne", "Membership.mem", "MulOne.toMul", "Submonoid.mem_mk", "MulOneClass.toMulOne", "Subsemigroup", "propext", "Subsemigroup.carrier", "One.toOfNat1", "Submonoid.mk", "Submonoid.instSetLike", "MulOneClass", "OfNat.ofNat", "Subsemigroup.instSetLike", "Eq", "Set.instMembership"...
false
AlgCat.coe_of
Mathlib.Algebra.Category.AlgCat.Basic
[ "CommRing", "Algebra", "CommRing.toCommSemiring", "AlgCat.carrier", "AlgCat.of", "Ring.toSemiring", "Eq", "Ring", "rfl" ]
true
WeakDual.isBounded_toWeakDual_preimage_iff_isBounded
Mathlib.Analysis.Normed.Module.WeakDual
[ "NormedCommRing.toSeminormedCommRing", "Algebra.to_smulCommClass", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "SeminormedAddCommGroup", "Semiring.toModule", "PseudoMetricSpace.toBornology", "NormedSpace", "ContinuousLinearMap.toPseudoMetricSpace", "CommSemiring.toSemiring", "AddCommGroup.toA...
true
Std.DTreeMap.getKey!_eq_default
Std.Data.DTreeMap.Lemmas
[ "Inhabited.default", "Std.DTreeMap", "Std.DTreeMap.getKey!", "Ord.mk", "Membership.mem", "Ordering", "Std.DTreeMap.inner", "Std.DTreeMap.Internal.Impl.getKey!_eq_default", "Std.TransCmp", "Std.DTreeMap.instMembership", "Std.DTreeMap.wf", "Inhabited", "Eq", "Not" ]
true
Lean.Parser.InputContext.mk'
Lean.Parser.Types
[ "Lean.Parser.InputContext.endPos_valid._autoParam", "String", "Lean.FileMap", "Lean.Parser.InputContext.mk'", "LE.le", "String.Pos.Raw", "autoParam", "String.rawEndPos", "Lean.Parser.InputContext", "String.instLERaw" ]
true
Lean.PrettyPrinter.Delaborator.State
Lean.PrettyPrinter.Delaborator.Basic
[ "Lean.PrettyPrinter.Delaborator.State.mk" ]
true
Finset.intervalGapsWithin.fst
Mathlib.Order.Interval.Finset.Gaps
[ "Finset.orderEmbOfFin", "Fin.pred", "Finset.intervalGapsWithin.fst._proof_1", "Lex", "Finset", "LinearOrder", "PartialOrder.toPreorder", "instDecidableEqFin", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "Prod.Lex.instLinearOrder", "DistribLattice.toLattice", "Fin.instOfNat", "instOfN...
true
SetLike.gnonUnitalNonAssocSemiring._proof_1
Mathlib.Algebra.DirectSum.Internal
[ "SetLike", "SetLike.gMul", "AddMonoid.toAddZeroClass", "NonUnitalNonAssocSemiring.toMulZeroClass", "Membership.mem", "AddSubmonoidClass", "AddZeroClass.toAddZero", "GradedMonoid.GMul.mul", "Subtype", "AddSubmonoidClass.toAddCommMonoid", "MulZeroClass.mul_zero", "NonUnitalNonAssocSemiring.toAdd...
false
Subalgebra.LinearDisjoint.map
Mathlib.RingTheory.LinearDisjoint
[ "Submodule", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "PartialOrder.toPreorder", "Algebra", "Preorder.toLE", "Algebra.toModule", "Submodule.instPartialOrder", "Submodule.LinearDisjoint.map", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "Subalgebra.map", "Subal...
true
_private.Mathlib.Tactic.Translate.UnfoldBoundary.0.Mathlib.Tactic.UnfoldBoundary.refoldConsts.go
Mathlib.Tactic.Translate.UnfoldBoundary
[ "Inhabited.default", "Lean.MVarId", "Lean.Expr", "Mathlib.Tactic.UnfoldBoundary.UnfoldBoundaries", "Lean.Meta.Simp.SimpM", "Unit", "Lean.Meta.Simp.instInhabitedSimpM" ]
true
_private.Mathlib.Tactic.Linter.TextBased.0.Mathlib.Linter.TextBased.StyleError.errorMessage._sparseCasesOn_1
Mathlib.Tactic.Linter.TextBased
[ "Nat.ne_of_beq_eq_false", "Nat.shiftRight", "Nat.hasNotBit", "instOfNatNat", "List.rec", "List.cons", "Nat.land", "List", "Nat", "Bool", "Eq.refl", "OfNat.ofNat", "Bool.false", "List.ctorIdx", "List.nil" ]
false
_private.Init.Data.String.OrderInstances.0.String.Pos.Raw.instTotalLe._simp_2
Init.Data.String.OrderInstances
[ "String", "String.Pos.le_iff", "LE.le", "String.Pos.Raw", "String.instLERaw", "propext", "String.Pos", "String.instLEPos", "Eq", "String.Pos.offset" ]
false
_private.Mathlib.Combinatorics.SimpleGraph.Walk.Basic.0.SimpleGraph.Walk.mem_darts_iff_infix_support._proof_1_15
Mathlib.Combinatorics.SimpleGraph.Walk.Basic
[ "Lean.Grind.CommRing.le_norm_expr", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "HMul.hMul", "Lean.Grind.CommRing.Expr.mul", "Int.Linear.norm_le", "Lean.Grind.nestedProof", "Lean.Grind.CommRing.Expr.var", "Int.Linear.Expr.eq_of_norm_eq", "Lean.Grind.Order.eq_of_le_of_le_0", "congrArg", ...
false
CategoryTheory.LocallyDiscrete.mkPseudofunctor._proof_8
Mathlib.CategoryTheory.Bicategory.Functor.LocallyDiscrete
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Bicategory.toCategoryStruct", "CategoryTheory.Bicategory", "True", "eq_self", "CategoryTheory.CategoryStruct.comp", "of_eq_true", "CategoryTheory.Category.toCategoryStruct", ...
false
_private.Init.Data.Slice.Array.Iterator.0.SubarrayIterator.step.match_1.eq_1
Init.Data.Slice.Array.Iterator
[ "Subarray", "SubarrayIterator.step.match_1", "SubarrayIterator.mk", "Std.IterM.mk", "SubarrayIterator", "Id", "Eq.refl", "Std.IterM", "Eq" ]
true
UInt32.reduceNe._regBuiltin.UInt32.reduceNe.declare_1._@.Lean.Meta.Tactic.Simp.BuiltinSimprocs.UInt.2998934274._hygCtx._hyg.3
Lean.Meta.Tactic.Simp.BuiltinSimprocs.UInt
[ "IO", "instOfNatNat", "Sum.inl", "Lean.Name.num", "Lean.Name.str", "Lean.Name.anonymous", "UInt32.reduceNe._@.Lean.Meta.Tactic.Simp.BuiltinSimprocs.UInt.2998934274._hygCtx._hyg.3", "Bool.true", "Unit", "Nat", "Lean.Meta.Simp.DSimproc", "Lean.Meta.Simp.addSimprocBuiltinAttr", "OfNat.ofNat", ...
false
Lean.Grind.CommRing.Mon.denoteAsIntModule.go.eq_def
Init.Grind.Ring.CommSolver
[ "Lean.Grind.CommRing.Power", "Eq.mpr", "Lean.Grind.CommRing.Mon.denote.match_1", "Lean.Grind.CommRing.Mon.mult", "HMul.hMul", "congrArg", "Lean.Grind.CommRing.Mon.below", "Lean.Grind.CommSemiring.toSemiring", "Lean.Grind.CommRing.Mon.brecOn.eq", "Lean.Grind.CommRing.Mon.denoteAsIntModule.go", "i...
true
add_sub_div_two_lt
Mathlib.Algebra.Order.Field.Basic
[ "IsRightCancelAdd.addRightStrictMono_of_addRightMono", "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "Preorder.toLT", "instHDiv", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "AddLeftCancelSemigroup.toIsLeftCancelAdd", "GroupWithZero.toD...
true
Set.mem_smul_set_iff_inv_smul_mem
Mathlib.Algebra.Group.Action.Pointwise.Set.Basic
[ "instHSMul", "Equiv.instEquivLike", "DivInvOneMonoid.toInvOneClass", "Group", "Group.toDivisionMonoid", "Membership.mem", "DivisionMonoid.toDivInvOneMonoid", "DivInvMonoid.toMonoid", "MulAction.toPerm", "Group.toDivInvMonoid", "Iff", "Inv.inv", "Equiv.Perm", "MulAction", "Monoid.toSemigr...
true
UniqueFactorizationMonoid.radical_eq_one_iff
Mathlib.RingTheory.Radical.Basic
[ "Eq.mpr", "MulOne.toOne", "UniqueFactorizationMonoid.radical.congr_simp", "congrArg", "Finset", "NormalizationMonoid", "IsUnit", "UniqueFactorizationMonoid.primeFactors_one", "Eq.mp", "id", "UniqueFactorizationMonoid", "CommMonoidWithZero.toMonoidWithZero", "Finset.instEmptyCollection", "U...
true
_private.Lean.Meta.SynthInstance.0.Lean.Meta.SynthInstance.resume.match_1
Lean.Meta.SynthInstance
[ "Unit.unit", "Lean.MetavarContext", "Option.casesOn", "Option.some", "Option.none", "Unit", "Option" ]
false
Aesop.Frontend.Feature.ctorIdx
Aesop.Frontend.RuleExpr
[ "Lean.Syntax.Term", "Aesop.Frontend.DBuilderName", "Aesop.Frontend.Feature.casesOn", "Aesop.PhaseName", "Aesop.Frontend.Feature", "Nat", "Aesop.Frontend.Priority", "Aesop.Frontend.RuleSets", "Aesop.Frontend.BuilderOption" ]
false
Ordinal.brange_bfamilyOfFamily
Mathlib.SetTheory.Ordinal.Family
[ "Ordinal.bfamilyOfFamily", "Ordinal.brange_bfamilyOfFamily'", "Ordinal.brange", "Ordinal.type", "WellOrderingRel.isWellOrder", "Set.range", "Eq", "WellOrderingRel", "Set" ]
true
Matrix.IsAdjMatrix.compl_compl
Mathlib.Combinatorics.SimpleGraph.AdjMatrix
[ "Eq.mpr", "instDecidableNot", "One", "Equiv.instEquivLike", "ite_eq_right_iff._simp_1", "congrArg", "Matrix", "_private.Mathlib.Combinatorics.SimpleGraph.AdjMatrix.0.Matrix.IsAdjMatrix.compl_compl._proof_1_3", "Matrix.of", "Matrix.IsAdjMatrix", "id", "Equiv", "forall_prop_decidable", "ite_...
true
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.Const.getD_filterMap._simp_1_1
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "Ordering", "Ordering.eq", "Ord.compare", "Bool.true", "BEq.beq", "propext", "Bool", "Std.LawfulBEqOrd", "BEq", "Eq", "Std.LawfulBEqOrd.compare_eq_iff_beq" ]
false
GroupFilterBasis.nhds_eq
Mathlib.Topology.Algebra.FilterBasis
[ "GroupFilterBasis.one", "Filter.instMembership", "instHSMul", "Trans.trans", "instSMulOfMul", "InvOneClass.toOne", "HMul.hMul", "FilterBasis.mem_filter_of_mem", "instMembershipSetFilterBasis", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "Filter.instTransSetMemSubset", "Filter.ma...
true
DirectSum.gMulLHom
Mathlib.Algebra.DirectSum.Algebra
[ "AddMonoid.toAddSemigroup", "CommSemiring.toSemiring", "DirectSum.GSemiring.toGNonUnitalNonAssocSemiring", "DirectSum.gMulLHom._proof_1", "GradedMonoid.GMul.mul", "DirectSum.gMulLHom._proof_3", "LinearMap.module", "DirectSum.gMulLHom._proof_10", "LinearMap", "smulCommClass_self", "AddCommMonoid"...
true
CategoryTheory.Limits.IsColimit.op._proof_1
Mathlib.CategoryTheory.Limits.HasLimits
[ "CategoryTheory.Functor.op", "Eq.mpr", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "CategoryTheory.Limits.Cone", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "Quiver.Hom.op", "CategoryTheory.Functor.category", "...
false
_private.Init.Data.Option.Lemmas.0.Option.eq_some_of_isSome.match_1_1
Init.Data.Option.Lemmas
[ "False", "HEq.refl", "False.elim", "Option.casesOn", "noConfusion_of_Nat", "Option.some", "Eq.casesOn", "Bool.ctorIdx", "Bool.true", "Option.none", "Bool", "Eq.refl", "HEq", "Option.isSome", "Bool.false", "Eq", "Option" ]
false