name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
OpenPartialHomeomorph.toHomeomorphOfSourceEqUnivTargetEqUniv
Mathlib.Topology.OpenPartialHomeomorph.Basic
[ "Homeomorph.mk", "PartialEquiv.target", "Set.univ", "Equiv.mk", "OpenPartialHomeomorph.toHomeomorphOfSourceEqUnivTargetEqUniv._proof_3", "OpenPartialHomeomorph.toFun'", "TopologicalSpace", "Homeomorph", "PartialEquiv.source", "OpenPartialHomeomorph.toHomeomorphOfSourceEqUnivTargetEqUniv._proof_5",...
true
List.getElem_set_ne._proof_1
Init.Data.List.Lemmas
[ "congrArg", "Eq.mp", "List.set", "List", "Nat", "LT.lt", "instLTNat", "List.length", "List.length_set" ]
false
Lean.Lsp.SignatureInformation.mk._flat_ctor
Lean.Data.Lsp.LanguageFeatures
[ "String", "Lean.Lsp.SignatureInformation.mk", "Lean.Lsp.MarkupContent", "Lean.Lsp.SignatureInformation", "Array", "Nat", "Lean.Lsp.ParameterInformation", "Option" ]
false
CategoryTheory.Limits.cokernel.π_desc
Mathlib.CategoryTheory.Limits.Shapes.Kernels
[ "CategoryTheory.Limits.IsColimit.fac", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Limits.cokernel.desc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.Limits.WalkingParallelPair.one", "CategoryTheory.Limits.cokernel"...
true
_private.Lean.Elab.MatchExpr.0.Lean.Elab.Term.MatchExpr.getParams.match_3
Lean.Elab.MatchExpr
[ "Unit.unit", "Option.casesOn", "Lean.Syntax.Ident", "Option.some", "Option.none", "Unit", "Option" ]
false
Finsupp.mapRange.equiv_symm._proof_1
Mathlib.Data.Finsupp.Defs
[ "Equiv.instEquivLike", "congrArg", "Equiv.symm_apply_apply", "Equiv", "True", "eq_self", "of_eq_true", "Zero.toOfNat0", "congrFun'", "Equiv.symm", "OfNat.ofNat", "Eq.symm", "Eq", "DFunLike.coe", "Eq.trans", "EquivLike.toFunLike", "Zero" ]
false
WittVector.Isocrystal.recOn
Mathlib.RingTheory.WittVector.Isocrystal
[ "WittVector.Isocrystal", "PerfectRing", "CommRing", "Nat.Prime", "WittVector.FractionRing.frobenius", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "CommRing.toNonUnitalCommRing", "WittVector.instCommRing", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Rin...
false
_private.Mathlib.Tactic.TacticAnalysis.Declarations.0.parseSuggestionToTactic.match_1
Mathlib.Tactic.TacticAnalysis.Declarations
[ "Lean.TSyntax", "Except.ok", "String", "Except.error", "List.cons", "Except.casesOn", "Lean.SyntaxNodeKind", "Except", "Lean.Name.mkStr4", "List.nil" ]
false
MeasureTheory.setLAverage_congr
Mathlib.MeasureTheory.Integral.Average
[ "MeasureTheory.ae", "MeasureTheory.measure_congr", "MeasureTheory.Measure", "instHDiv", "MeasureTheory.laverage", "congrArg", "MeasureTheory.Measure.restrict", "Filter.EventuallyEq", "HDiv.hDiv", "MeasurableSpace", "MeasureTheory.setLAverage_eq", "congr", "True", "eq_self", "ENNReal", ...
true
List.decidableInfix._proof_5
Mathlib.Data.List.Infix
[ "False", "List.append_assoc", "congrArg", "List.append_eq_nil_iff._simp_1", "False.elim", "noConfusion_of_Nat", "Eq.mp", "List.cons", "instHAppendOfAppend", "List", "And", "congrFun'", "and_false", "List.instAppend", "eq_false'", "Eq", "List.ctorIdx", "HAppend.hAppend", "Eq.trans...
false
Stream'.Seq.get?.eq_1
Mathlib.Algebra.ContinuedFractions.Computation.Translations
[ "Stream'.Seq", "Stream'", "Stream'.IsSeq", "Nat", "Eq.refl", "Subtype.val", "Eq", "Stream'.Seq.get?", "Option" ]
true
_private.Lean.Environment.0.Lean.Environment.setMainModule.unsafe_impl_2
Lean.Environment
[ "Classical.ofNonempty", "NonScalar", "instNonemptyOfInhabited", "instInhabitedNonScalar", "Pi.instNonempty", "Lean.Environment" ]
true
_private.Lean.Meta.Tactic.Generalize.0.Lean.Meta.generalizeCore.go.match_1
Lean.Meta.Tactic.Generalize
[ "Option.ctorIdx", "_private.Lean.Meta.Tactic.Generalize.0.Lean.Meta.generalizeCore.go._sparseCasesOn_1", "Option.some", "Nat.hasNotBit", "Lean.Name", "Option" ]
false
Filter.Tendsto.cauchy_map
Mathlib.Topology.UniformSpace.Cauchy
[ "UniformSpace", "Cauchy", "Filter.map", "Filter.NeBot", "Cauchy.mono", "nhds", "Filter.map_neBot", "Filter.Tendsto", "cauchy_nhds", "UniformSpace.toTopologicalSpace", "Filter" ]
true
HasFDerivAt.add_const
Mathlib.Analysis.Calculus.FDeriv.Add
[ "Iff.mpr", "HasFDerivAt", "NormedSpace", "AddCommGroup.toAddCommMonoid", "hasFDerivAt_add_const_iff", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "NormedField.toField", "Field.toSemifield", "ContinuousLinearMap", "instHAdd", "Semifield.toDivisionSemiring", "SeminormedAddCommG...
true
alternatingGroup.coe_two_sylow_of_card_eq_four
Mathlib.GroupTheory.SpecificGroups.Alternating.KleinFour
[ "Multiset.sum", "Sylow.isPGroup'", "Sylow.toSubgroup", "Multiset.toFinset", "Set.toFinset_union", "Eq.mpr", "Set.fintypeUnion", "OneMemClass.coe_eq_one._simp_2", "Equiv.Perm.cycleType", "Sylow.instSetLike", "Set.fintypeSingleton", "Subgroup.instSubgroupClass", "instHDiv", "Sylow", "HMul....
true
_private.Mathlib.AlgebraicTopology.SimplicialSet.Nonsingular.0.SSet.instNonsingularNerve._simp_3
Mathlib.AlgebraicTopology.SimplicialSet.Nonsingular
[ "CategoryTheory.Functor", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Limits.HasPullbacks", "CategoryTheory.NatTrans.mono_iff_mono_app", "propext", "CategoryTheory.Category.toCategoryStruct", "Eq", "CategoryThe...
false
Cardinal.cast_toNat_of_lt_aleph0
Mathlib.SetTheory.Cardinal.ToNat
[ "Eq.mpr", "Nat.instMulZeroOneClass", "Preorder.toLT", "Cardinal", "congrArg", "CommSemiring.toSemiring", "Cardinal.commSemiring", "PartialOrder.toPreorder", "Cardinal.toNat", "MonoidWithZeroHom.funLike", "Exists", "id", "Cardinal.aleph0", "Nat.cast", "instMulZeroOneClassOfSemiring", "C...
true
MeasureTheory.Measure.map_sub_left_eq_self
Mathlib.MeasureTheory.Group.Measure
[ "MeasureTheory.Measure.measurePreserving_sub_left", "NegZeroClass.toNeg", "MeasureTheory.Measure", "AddMonoid.toAddZeroClass", "HSub.hSub", "AddZeroClass.toAddZero", "SubtractionMonoid.toSubNegZeroMonoid", "MeasureTheory.MeasurePreserving.map_eq", "SubtractionMonoid.toSubNegMonoid", "SubNegZeroMon...
true
Filter.le_seq
Mathlib.Order.Filter.Map
[ "Filter.instMembership", "_private.Mathlib.Order.Filter.Map.0.Filter.le_seq.match_1_3", "PartialOrder.toPreorder", "_private.Mathlib.Order.Filter.Map.0.Filter.le_seq.match_1_1", "Preorder.toLE", "Filter.seq", "Membership.mem", "Eq.rec", "LE.le", "Eq", "Set.instMembership", "Filter", "Set.seq...
true
Std.ExtTreeMap.getKey!_ofList_of_contains_eq_false
Std.Data.ExtTreeMap.Lemmas
[ "Inhabited.default", "List.map", "Std.ExtTreeMap.ofList", "List.contains", "Ordering", "Std.TransCmp", "Prod.fst", "Std.ExtTreeMap.getKey!", "List", "Std.LawfulBEqCmp", "Bool", "Inhabited", "Std.ExtDTreeMap.Const.getKey!_ofList_of_contains_eq_false", "Prod", "Bool.false", "BEq", "Eq"...
true
_private.Mathlib.RingTheory.Polynomial.Dickson.0.Polynomial.dickson.match_1.splitter
Mathlib.RingTheory.Polynomial.Dickson
[ "instOfNatNat", "Unit", "Nat", "Polynomial.dickson.match_1", "OfNat.ofNat", "Nat.succ" ]
true
MvPolynomial.rTensorAlgHom._proof_1
Mathlib.RingTheory.TensorProduct.MvPolynomial
[ "NonAssocSemiring.toAddCommMonoidWithOne", "Nat.instMulZeroClass", "IsScalarTower.right", "AddMonoidAlgebra.addAddCommMonoid", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsScalarTower", "AddMonoid.toAddZeroClass", "Algebra", "Algebra.toSMul", "AddMonoidAlgebra.isScalarTower", ...
false
CategoryTheory.WithInitial.mkCommaMorphism_left
Mathlib.CategoryTheory.WithTerminal.Basic
[ "CategoryTheory.Functor", "CategoryTheory.WithInitial.mkCommaMorphism", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.id", "CategoryTheory.WithInitial", "CategoryTheory.CommaMorphism.left", "CategoryTheory.WithInitial.mkCommaObject...
true
_private.Mathlib.Tactic.Linter.Style.0.Mathlib.Linter.isCDot?._sparseCasesOn_1
Mathlib.Tactic.Linter.Style
[ "Lean.Syntax.node", "Lean.Syntax.ident", "Lean.Syntax.missing", "Nat.ne_of_beq_eq_false", "Lean.Syntax.ctorIdx", "String", "Lean.SourceInfo", "Nat.shiftRight", "Lean.Syntax.atom", "Lean.Syntax", "Nat.hasNotBit", "instOfNatNat", "Substring.Raw", "Array", "Nat.land", "List", "Lean.Synt...
false
ProfiniteGrp.toFiniteQuotientFunctor._proof_1
Mathlib.Topology.Algebra.Category.ProfiniteGrp.Limits
[ "OpenNormalSubgroup.instNormal", "ProfiniteGrp.group", "ProfiniteGrp", "TotallyDisconnectedSpace", "TopCat.str", "TopCat.carrier", "ProfiniteGrp.toProfinite", "OpenNormalSubgroup.toOpenSubgroup", "TopCat", "CompHausLike.toTop", "OpenNormalSubgroup", "Subgroup.Normal", "OpenSubgroup.toSubgrou...
false
Lean.Syntax.mkNameLit
Init.Meta.Defs
[ "Lean.nameLitKind", "String", "Lean.SourceInfo", "Lean.Syntax.mkLit", "Lean.Syntax.NameLit", "optParam", "Lean.SourceInfo.none" ]
true
CategoryTheory.PreGaloisCategory.fiberBinaryProductEquiv_symm_snd_apply
Mathlib.CategoryTheory.Galois.Basic
[ "Eq.mpr", "CategoryTheory.PreGaloisCategory", "CategoryTheory.Functor", "CategoryTheory.Limits.PreservesLimitPair.iso", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ConcreteCategory.hom", "Finite", "CategoryTheory.PreGaloisCategory.in...
true
SetSemiring.imageHom
Mathlib.Data.Set.Semiring
[ "MulOne.toOne", "SetSemiring.down", "MonoidHom.instFunLike", "RingHom.mk", "Equiv.instEquivLike", "MonoidHom", "OneHom.mk", "RingHom", "Equiv", "MonoidHom.mk", "NonAssocSemiring.toMulZeroOneClass", "SetSemiring", "SetSemiring.imageHom._proof_1", "MulZeroOneClass.toMulOneClass", "SetSemir...
true
CategoryTheory.CommSq.coneUnop
Mathlib.CategoryTheory.Limits.Shapes.Opposites.Pullbacks
[ "CategoryTheory.Limits.WalkingSpan", "Opposite", "CategoryTheory.CommSq.cone", "Quiver.opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.CommSq", "Quiver.Hom.unop", "CategoryTheory.CommSq.coneUnop._proof_1", "CategoryTheory.Iso.refl", "CategoryTheory.Iso", "Cat...
true
QuadraticModuleCat.concreteCategory._proof_1
Mathlib.LinearAlgebra.QuadraticForm.QuadraticModuleCat
[ "CommRing", "Semiring.toModule", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "QuadraticModuleCat.toModuleCat", "QuadraticModuleCat", "QuadraticModuleCat.form", "id", "NonUnitalNonAssocSemiring.toAddCommMonoid", "CommRing.toCommSemiring", "ModuleCat.isAddCommGroup", "QuadraticMod...
false
ProbabilityTheory.condIndepFun_of_measurable_left
Mathlib.Probability.Independence.Conditional
[ "MeasureTheory.stronglyMeasurable_const", "MeasureTheory.ae", "Iff.mpr", "Norm.norm", "Eq.mpr", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "MulOne.toOne", "StandardBorelSpace", "Real.instLE", "Real", "Trans.trans", "MeasureTheory.Measure", "MeasurableSpace.in...
true
SimpleGraph.IsCompleteMultipartite.iso._proof_2
Mathlib.Combinatorics.SimpleGraph.CompleteMultipartite
[ "SimpleGraph.IsCompleteMultipartite.setoid", "SimpleGraph.IsCompleteMultipartite.iso.match_1", "Subtype", "Quotient.out", "SimpleGraph.IsCompleteMultipartite", "Quotient.mk", "SimpleGraph", "Quotient", "Subtype.val", "Quotient.mk_out", "Sigma", "Setoid.r" ]
false
_private.Std.Data.DHashMap.RawLemmas.0.Std.DHashMap.Raw.size_insertMany_list._simp_1_1
Std.Data.DHashMap.RawLemmas
[ "Std.DHashMap.Raw.instMembershipOfBEqOfHashable", "Std.DHashMap.Raw.mem_iff_contains", "Std.DHashMap.Raw", "Membership.mem", "Std.DHashMap.Raw.contains", "Bool.true", "propext", "Bool", "Hashable", "BEq", "Eq" ]
false
Algebra.Presentation.span_range_relation_eq_ker_baseChange
Mathlib.RingTheory.Extension.Presentation.Basic
[ "Algebra.Generators.ker", "Ideal.span_le", "Finsupp.instAddZeroClass", "Set.range_comp", "Eq.mpr", "AlgEquiv.instEquivLike", "NonAssocSemiring.toAddCommMonoidWithOne", "Submodule", "RingHom.instRingHomClass", "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "CommRing", "Algebra.to_smulCo...
true
DirichletCharacter.LFunctionTrivChar_eq_mul_riemannZeta
Mathlib.NumberTheory.LSeries.DirichletContinuation
[ "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring", "Eq.mpr", "MulOne.toOne", "Nat.instMulZeroClass", "MonoidHom.instFunLike", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "riemannZeta", "ZMod.commRing", "Complex.commRing", "outParam", "MonoidHom", "DirichletCharact...
true
QuaternionGroup.a.sizeOf_spec
Mathlib.GroupTheory.SpecificGroups.Quaternion
[ "HMul.hMul", "instSizeOfDefault", "instMulNat", "instOfNatNat", "QuaternionGroup._sizeOf_inst", "ZMod", "QuaternionGroup", "QuaternionGroup.a", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "OfNat.ofNat", "Eq", "instHMul" ]
true
Isocrystal.«termΦ(_,_)»
Mathlib.RingTheory.WittVector.Isocrystal
[ "instOfNatNat", "Lean.ParserDescr.binary", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "Lean.ParserDescr.symbol", "Lean.Name.mkStr2", "Lean.ParserDescr.cat", "OfNat.ofNat", "Lean.Name.mkStr1" ]
true
Std.HashMap.all_eq_true_iff_forall_mem_getElem
Std.Data.HashMap.Lemmas
[ "Std.HashMap.all", "Std.DHashMap.Const.all_eq_true_iff_forall_mem_get", "GetElem?.toGetElem", "LawfulBEq", "Membership.mem", "Std.HashMap", "GetElem.getElem", "Bool.true", "Iff", "Bool", "Hashable", "Std.HashMap.instGetElem?Mem", "Std.HashMap.inner", "BEq", "Eq", "Std.HashMap.instMembe...
true
Fin.lt_iff_val_lt_val._simp_1
Mathlib.Data.Fin.Basic
[ "Fin.val", "Nat", "LT.lt", "instLTFin", "propext", "Fin.lt_iff_val_lt_val", "instLTNat", "Fin", "Eq" ]
false
Std.DHashMap.getD_insertMany_list_of_mem
Std.Data.DHashMap.Lemmas
[ "List.Pairwise", "instForInOfForIn'", "Std.DHashMap.Raw", "cast", "LawfulBEq", "Membership.mem", "inferInstance", "Std.DHashMap.wf", "Sigma.fst", "instOfNatNat", "Id", "Membership", "Subtype.mk", "Bool.true", "List", "BEq.beq", "Std.DHashMap.inner", "List.instMembership", "Nat", ...
true
Sylow.ext
Mathlib.GroupTheory.Sylow
[ "Sylow.toSubgroup", "Sylow.mk", "Sylow", "PartialOrder.toPreorder", "IsPGroup", "Group", "Preorder.toLE", "Membership.mem", "Eq.rec", "Subtype", "Subgroup", "LE.le", "Sylow.casesOn", "Nat", "Subgroup.instPartialOrder", "Eq.ndrec", "Eq.refl", "Eq.symm", "Subgroup.toGroup", "Eq",...
true
_private.Mathlib.Algebra.Polynomial.Module.AEval.0.Module.AEval.annihilator_top_eq_ker_aeval._simp_1_2
Mathlib.Algebra.Polynomial.Module.AEval
[ "Submodule", "Membership.mem", "Submodule.instTop", "AddCommMonoid", "Submodule.setLike", "True", "eq_true", "Semiring", "Module", "Top.top", "Eq", "Submodule.mem_top", "SetLike.instMembership" ]
false
Lean.Elab.Tactic.Do.ProofMode.Hyp.noConfusionType
Lean.Elab.Tactic.Do.ProofMode.MGoal
[ "Lean.Expr", "Lean.Elab.Tactic.Do.ProofMode.Hyp", "Lean.Elab.Tactic.Do.ProofMode.Hyp.casesOn", "Lean.Name", "Eq" ]
false
RingCat.Colimits.Relation.zero_add
Mathlib.Algebra.Category.Ring.Colimits
[ "CategoryTheory.Functor", "RingCat.Colimits.Relation", "RingCat.Colimits.Prequotient.add", "RingCat.Colimits.Prequotient.zero", "CategoryTheory.SmallCategory", "RingCat.Colimits.Prequotient", "RingCat.Colimits.Relation.zero_add", "RingCat", "RingCat.instCategory" ]
true
Std.TreeMap.Raw.getKey_alter
Std.Data.TreeMap.Raw.Lemmas
[ "Std.TreeMap.Raw.alter", "instDecidableEqOrdering", "Std.DTreeMap.Raw.Const.getKey_alter", "Std.TreeMap.Raw.WF.out", "Membership.mem", "Ordering", "Std.TreeMap.Raw.instMembership", "Ordering.eq", "Std.TransCmp", "Std.TreeMap.Raw.WF", "Std.TreeMap.Raw.inner", "dite", "Std.TreeMap.Raw.mem_alte...
true
CategoryTheory.Adjunction.restrictFullyFaithful
Mathlib.CategoryTheory.Adjunction.Restrict
[ "CategoryTheory.Functor", "Trans.trans", "CategoryTheory.Adjunction.restrictFullyFaithful._proof_2", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Adjunction.restrictFullyFaithful._proof_1", "CategoryTheory.Functor.category", "CategoryTheory.Functor.FullyFaithful.homEquiv", ...
true
ProjectiveSpectrum.gc_homogeneousIdeal
Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Topology
[ "SetLike", "HomogeneousSubmodule.setLike", "CommRing", "Semiring.toModule", "HomogeneousIdeal._proof_1", "ChainCompletePartialOrder.instOfCompleteLattice", "AddMonoid.toAddSemigroup", "instVAddOfAdd", "congrArg", "CommSemiring.toSemiring", "Iff.rfl", "AddMonoid.toAddZeroClass", "PartialOrder...
true
Filter.exists_iInter_of_mem_iInf
Mathlib.Order.Filter.Finite
[ "Filter.instMembership", "Eq.mpr", "iInf", "congrArg", "Set.iInter", "Filter.instInfSet", "iInf_range'", "Set.univ", "Set.Finite", "Function.comp", "Membership.mem", "Exists", "Eq.mp", "Set.Elem", "id", "Set.rangeFactorization_surjective", "_private.Mathlib.Order.Filter.Finite.0.Filt...
true
CategoryTheory.Functor.PreservesPointwiseLeftKanExtensionAt.mk._flat_ctor
Mathlib.CategoryTheory.Functor.KanExtension.Preserves
[ "CategoryTheory.Functor.PreservesPointwiseLeftKanExtensionAt", "CategoryTheory.Functor", "CategoryTheory.Functor.LeftExtension", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.PreservesPointwiseLeftKanExtensionAt.mk", "CategoryTheory.Functor.LeftExtension.postc...
false
String.revPosOf
Init.Data.String.Search
[ "String.Slice.Pattern.ToBackwardSearcher.DefaultBackwardSearcher.instIteratorIdSearchStepOfBackwardPattern", "String", "String.Slice.Pattern.Char.instToBackwardSearcherCharDefaultBackwardSearcherForallBoolBeq", "String.Slice", "instBEqOfDecidableEq", "String.Pos.Raw", "Option.map", "BEq.beq", "Strin...
true
HomotopicalAlgebra.Fibration.mk
Mathlib.AlgebraicTopology.ModelCategory.CategoryWithCofibrations
[ "HomotopicalAlgebra.fibrations", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Category.toCategoryStruct", "HomotopicalAlgebra.Fibration", "HomotopicalAlgebra.Fibration.mk", "CategoryTheory.Category", "HomotopicalAlgebra.CategoryWithFibrations" ]
true
Finset.compls_eq_empty._simp_1
Mathlib.Data.Finset.Sups
[ "BooleanAlgebra", "Finset", "Finset.compls", "Finset.instEmptyCollection", "propext", "Finset.compls_eq_empty", "EmptyCollection.emptyCollection", "Eq" ]
false
ContinuousLinearMap.IsStarNormal.adjoint_apply_eq_zero_iff
Mathlib.Analysis.InnerProductSpace.Adjoint
[ "norm_eq_zero", "LinearIsometryEquiv.instEquivLike", "AddGroup.toSubtractionMonoid", "Norm.norm", "Eq.mpr", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "Real", "CompleteSpace", "NormedSpace.toIsBoundedSMul", "ContinuousLinearMap.instStarId", "UniformContinuousCons...
true
Lean.Elab.Command.ComputedFieldView
Lean.Elab.MutualInductive
[ "Lean.Elab.Command.ComputedFieldView.mk" ]
true
Lean.Compiler.LCNF.mkCasesResultType
Lean.Compiler.LCNF.InferType
[ "Pure.pure", "Std.Rci.mk", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Subarray", "String", "Lean.instAddErrorMessageContextOfAddMessageContextOfMonad", "Lean.Compiler.LCNF.instInhabitedAlt", "instForInSubarrayOfMonad", "Lean.throwError", "Array.isEmpty", "Lean.MonadQuotatio...
true
CategoryTheory.Limits.Cone.isLimitOfIsIsoLimMapπ._proof_2
Mathlib.CategoryTheory.Limits.Connected
[ "CategoryTheory.Limits.limMap_π", "CategoryTheory.Limits.limit.π", "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "CategoryTheory.IsIso", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "Cat...
false
_private.Mathlib.Order.SupIndep.0.Finset.SupIndep.biUnion._proof_1_2
Mathlib.Order.SupIndep
[ "Lattice", "False", "Lattice.toSemilatticeSup", "eq_false", "Finset.instUnion", "congrArg", "Finset", "Classical.byContradiction", "PartialOrder.toPreorder", "Classical.propDecidable", "Preorder.toLE", "OrderBot", "SemilatticeInf.toPartialOrder", "SemilatticeSup.toMax", "Eq.mp", "id", ...
false
MeasurableSpace.instCountableOrCountablyGeneratedProd
Mathlib.MeasureTheory.MeasurableSpace.CountablyGenerated
[ "MeasurableSpace.instCountableOrCountablyGeneratedOfCountablyGenerated", "MeasurableSpace.CountableOrCountablyGenerated.casesOn", "MeasurableSpace.CountableOrCountablyGenerated", "inferInstance", "instCountableProd", "Or.casesOn", "MeasurableSpace", "Countable", "Or", "MeasurableSpace.CountablyGen...
true
NonUnitalSubring.closure_union
Mathlib.RingTheory.NonUnitalSubring.Basic
[ "NonUnitalNonAssocRing", "NonUnitalSubring.instSetLike", "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "PartialOrder.toPreorder", "NonUnitalSubring", "Set.instUnion", "SemilatticeSup.toMax", "NonUnitalSubring.gi", "CompleteLattice.toCompleteSemilatticeInf", "CompleteSemilatticeInf.toP...
true
_private.Batteries.Data.RBMap.Lemmas.0.Batteries.RBNode.balRight.match_1.splitter._sparseCasesOn_4
Batteries.Data.RBMap.Lemmas
[ "Nat.ne_of_beq_eq_false", "Nat.shiftRight", "Nat.hasNotBit", "instOfNatNat", "Batteries.RBColor.ctorIdx", "Batteries.RBColor.rec", "Nat.land", "Batteries.RBColor.red", "Batteries.RBColor", "Nat", "Bool", "Eq.refl", "Batteries.RBColor.black", "OfNat.ofNat", "Bool.false" ]
false
CategoryTheory.ObjectProperty.opEquivalence
Mathlib.CategoryTheory.ObjectProperty.Opposite
[ "CategoryTheory.Functor.op", "CategoryTheory.Functor", "Opposite", "CategoryTheory.ObjectProperty.ι", "CategoryTheory.Functor.category", "CategoryTheory.ObjectProperty.opEquivalence._proof_4", "CategoryTheory.Equivalence", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.id", "CategoryTheory...
true
integral_re
Mathlib.MeasureTheory.Integral.Bochner.ContinuousLinearMap
[ "NormedCommRing.toSeminormedCommRing", "Real", "MeasureTheory.Measure", "RCLike.toNormedAlgebra", "AddMonoid.toAddSemigroup", "Real.instAddMonoid", "Real.instRCLike", "AddMonoid.toAddZeroClass", "AddMonoid.toZero", "PseudoMetricSpace.toUniformSpace", "MeasureTheory.Integrable", "RCLike.reCLM",...
true
AlgebraicGeometry.opensDiagramι_app
Mathlib.AlgebraicGeometry.AffineTransitionLimit
[ "CategoryTheory.Over", "CategoryTheory.Functor", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "TopologicalSpace.Opens.instPartialOrder", "CommRingC...
true
_private.Lean.Meta.Instances.0.Lean.Meta.addInstanceEntry.match_1
Lean.Meta.Instances
[ "Unit.unit", "Option.casesOn", "Option.some", "Option.none", "Unit", "Lean.Name", "Option" ]
false
Manifold.LocalPresentationAt.mk.inj
Mathlib.Geometry.Manifold.LocalSourceTargetProperty
[ "Manifold.LocalPresentationAt.mk", "NormedSpace", "IsManifold.maximalAtlas", "Manifold.LocalPresentationAt.mk.noConfusion", "Membership.mem", "HasSubset.Subset", "TopologicalSpace", "ModelWithCorners", "And", "Set.preimage", "Manifold.LocalPresentationAt", "ENat", "And.intro", "eq_of_heq",...
true
CategoryTheory.nerve.representableBy._proof_1
Mathlib.AlgebraicTopology.SimplicialSet.Nerve
[ "CategoryTheory.Functor", "OrderIso.monotone", "Opposite", "OrderIso.apply_symm_apply", "congrArg", "PartialOrder.toPreorder", "CategoryTheory.Functor.comp", "Preorder.toLE", "OrderIso", "Preorder.smallCategory", "instOfNatNat", "OrderIso.symm", "instLEFin", "instHAdd", "Monotone.functor...
false
_private.Mathlib.RingTheory.DualNumber.0.DualNumber.ideal_trichotomy._simp_1_4
Mathlib.RingTheory.DualNumber
[ "Semigroup", "Semigroup.toMul", "Dvd.dvd", "HMul.hMul", "dvd_def", "semigroupDvd", "Exists", "propext", "Eq.symm", "Eq", "instHMul" ]
false
FreeAddGroup.freeAddGroupCongr_symm
Mathlib.GroupTheory.FreeGroup.Basic
[ "Equiv", "FreeAddGroup.instAdd", "FreeAddGroup.freeAddGroupCongr", "AddEquiv", "Equiv.symm", "FreeAddGroup", "Eq", "rfl", "AddEquiv.symm" ]
true
AlgebraicGeometry.SheafedSpace.GlueData.isoPresheafedSpace._proof_1
Mathlib.Geometry.RingedSpace.PresheafedSpace.Gluing
[ "CategoryTheory.GlueData.diagram", "CategoryTheory.Limits.MultispanShape.prod", "CategoryTheory.Limits.hasColimitOfHasColimitsOfShape", "CategoryTheory.Limits.hasLimitsOfShapeOfHasLimits", "Opposite", "AlgebraicGeometry.SheafedSpace", "CategoryTheory.Limits.WalkingMultispan", "CategoryTheory.Limits.Mu...
false
EReal.add_eq_bot_iff._simp_1
Mathlib.Data.EReal.Operations
[ "EReal", "Bot.bot", "instAddCommMonoidEReal", "instHAdd", "HAdd.hAdd", "propext", "Or", "AddCommSemigroup.toAddCommMagma", "AddCommMonoid.toAddCommSemigroup", "Eq", "instBotEReal", "EReal.add_eq_bot_iff", "AddCommMagma.toAdd" ]
false
FiberBundleCore.fiberBundle._proof_1
Mathlib.Topology.FiberBundle.Basic
[ "Eq.mpr", "Bundle.Trivialization.toFun'", "Topology.IsInducing.nhds_eq_comap", "congrArg", "FiberBundleCore.mk_mem_localTrivAt_source", "HEq.refl", "FiberBundleCore.Fiber", "Filter.instCompleteLatticeFilter", "Set.univ", "inf_top_eq", "PartialOrder.toPreorder", "instTopologicalSpaceProd", "P...
false
CategoryTheory.Limits.preservesTerminal_of_iso
Mathlib.CategoryTheory.Limits.Preserves.Shapes.Terminal
[ "CategoryTheory.Functor", "CategoryTheory.Limits.PreservesLimit", "CategoryTheory.Iso", "PEmpty", "CategoryTheory.Iso.isIso_hom", "CategoryTheory.Limits.terminal", "CategoryTheory.discreteCategory", "CategoryTheory.Functor.empty", "CategoryTheory.Limits.preservesTerminal_of_isIso", "CategoryTheory...
true
IO.instDecidableEqTaskState
Init.System.IO
[ "Decidable.isTrue", "Decidable", "IO.TaskState", "IO.instDecidableEqTaskState._proof_1", "dite", "IO.instDecidableEqTaskState._proof_2", "IO.TaskState.ctorIdx", "Nat", "instDecidableEqNat", "Decidable.isFalse", "Eq", "Not", "DecidableEq" ]
true
Matroid.IsBasis.isBase_restrict
Mathlib.Combinatorics.Matroid.Minor.Restrict
[ "Iff.mpr", "Matroid.IsBasis.subset_ground", "Matroid.IsBase", "Matroid.isBase_restrict_iff", "Matroid.restrict", "Matroid.IsBasis", "Matroid", "Set" ]
true
Algebra.TensorProduct.liftEquiv._proof_2
Mathlib.RingTheory.TensorProduct.Maps
[ "Algebra.TensorProduct.lift_comp_includeLeft", "NonAssocSemiring.toAddCommMonoidWithOne", "Algebra.to_smulCommClass", "AlgHom.algHomClass", "IsScalarTower.right", "Monoid.toMulOneClass", "congrArg", "CommSemiring.toSemiring", "AlgHom", "IsScalarTower", "AlgHom.funLike", "Algebra.TensorProduct....
false
Specialization.rec
Mathlib.Topology.Specialization
[ "Equiv.instEquivLike", "Specialization.toEquiv", "Equiv", "Specialization", "DFunLike.coe", "Specialization.ofEquiv", "EquivLike.toFunLike" ]
true
Set.instFintypeIic.eq_1
Mathlib.Order.Interval.Finset.Defs
[ "Finset.mem_Iic", "LocallyFiniteOrderBot", "Set.Elem", "Fintype.ofFinset", "Set.instFintypeIic", "Fintype", "Finset.Iic", "Eq.refl", "Set.Iic", "Eq", "Preorder" ]
true
CategoryTheory.Triangulated.TStructure.instIsIsoMapTruncLEAppTruncLEι
Mathlib.CategoryTheory.Triangulated.TStructure.TruncLEGT
[ "CategoryTheory.IsIso", "CategoryTheory.Triangulated.TStructure.isIso_truncLE_map_truncLEι_app", "CategoryTheory.Functor.Additive", "CategoryTheory.shiftFunctor", "CategoryTheory.Functor.id", "CategoryTheory.IsTriangulated", "Int", "Int.instAddMonoid", "_private.Mathlib.CategoryTheory.Triangulated.T...
true
_private.Mathlib.CategoryTheory.CommSq.0.CategoryTheory.CommSq.unop._simp_1_1
Mathlib.CategoryTheory.CommSq
[ "Opposite", "Quiver.opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.CategoryStruct.opposite", "Quiver.Hom.unop", "CategoryTheory.unop_comp", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.CategoryStruct", "Eq.symm", "Eq", "Opposite.unop" ]
false
isNoetherian_span_of_finite
Mathlib.RingTheory.Noetherian.Basic
[ "Iff.mpr", "Submodule", "AddCommGroup.toAddCommMonoid", "Submodule.addCommMonoid", "Submodule.fg_def", "Set.Finite", "Membership.mem", "Exists", "AddCommGroup", "Subtype", "IsNoetherianRing", "Submodule.module", "Submodule.FG", "And", "isNoetherian_of_fg_of_noetherian", "And.intro", ...
true
MvPFunctor.M.Path.child.injEq
Mathlib.Data.PFunctor.Multivariate.M
[ "MvPFunctor", "PFunctor.A", "PFunctor.Obj", "Eq.propIntro", "PFunctor.M", "PFunctor.B", "Lean.injEq_helper", "MvPFunctor.M.Path.child", "HEq.homo_ndrec", "instOfNatNat", "MvPFunctor.A", "instHAdd", "And", "HAdd.hAdd", "Nat", "MvPFunctor.M.Path", "eq_of_heq", "Eq.ndrec", "MvPFunct...
true
Fin.zero_eq_top._simp_1
Mathlib.Order.Fin.Basic
[ "Lattice.toSemilatticeSup", "PartialOrder.toPreorder", "Zero.ofOfNat0", "Preorder.toLE", "CoheytingAlgebra.toOrderTop", "Fin.instOfNat", "Fin.instCoheytingAlgebra", "instOfNatNat", "OrderTop.toTop", "Nat", "propext", "CoheytingAlgebra.toGeneralizedCoheytingAlgebra", "GeneralizedCoheytingAlge...
false
CategoryTheory.ShortComplex.π₃._proof_1
Mathlib.Algebra.Homology.ShortComplex.Basic
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ShortComplex", "CategoryTheory.CategoryStruct.id", "CategoryTheory.ShortComplex.instCategory", "id", "Eq.refl", "CategoryTheory.Category.toCategoryStruct", "Eq", "CategoryTheory.Shor...
false
AlgEquiv.instAlgEquivClass
Mathlib.Algebra.Algebra.Equiv
[ "AlgEquiv.instEquivLike", "Algebra", "RingEquivClass.mk", "Distrib.toAdd", "instDistribOfSemiring", "CommSemiring", "AlgEquivClass.mk", "AlgEquiv.map_add'", "Distrib.toMul", "AlgEquiv", "Semiring", "AlgEquiv.map_mul'", "AlgEquiv.commutes'", "AlgEquivClass", "MulEquivClass.mk" ]
true
Subring.gc_map_comap
Mathlib.Algebra.Ring.Subring.Basic
[ "PartialOrder.toPreorder", "Subring.map", "RingHom", "NonAssocRing", "Subring", "Subring.instPartialOrder", "Subring.comap", "Subring.map_le_iff_le_comap", "NonAssocRing.toNonAssocSemiring", "GaloisConnection" ]
true
_private.Init.Data.String.Lemmas.Pattern.Split.Basic.0.String.Slice.Pattern.Model.splitFromSteps.match_1.eq_1
Init.Data.String.Lemmas.Pattern.Split.Basic
[ "Unit.unit", "String.Slice.Pattern.SearchStep", "String.Slice", "String.Slice.Pattern.SearchStep.rejected", "_private.Init.Data.String.Lemmas.Pattern.Split.Basic.0.String.Slice.Pattern.Model.splitFromSteps.match_1", "List.cons", "List", "Unit", "String.Slice.Pattern.SearchStep.matched", "Eq.refl",...
true
_private.Mathlib.LinearAlgebra.RootSystem.GeckConstruction.Semisimple.0.RootPairing.GeckConstruction.termH
Mathlib.LinearAlgebra.RootSystem.GeckConstruction.Semisimple
[ "Lean.Name.mkNum", "Lean.Name.mkStr", "instOfNatNat", "Lean.Name.anonymous", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "Lean.ParserDescr.symbol", "OfNat.ofNat" ]
true
Lean.Meta.Grind.Arith.CommRing.ProofM.State.sexprDecls
Lean.Meta.Tactic.Grind.Arith.CommRing.Proof
[ "Lean.Meta.Grind.Arith.CommRing.SemiringExpr", "Lean.Expr", "Std.HashMap", "Lean.Grind.CommRing.instBEqExpr", "Lean.Grind.CommRing.instHashableExpr", "Lean.Meta.Grind.Arith.CommRing.ProofM.State" ]
true
CategoryTheory.GradedObject.ι_mapBifunctorComp₁₂MapObjIso_inv
Mathlib.CategoryTheory.GradedObject.Trifunctor
[ "CategoryTheory.GradedObject.BifunctorComp₁₂IndexData", "CategoryTheory.Functor", "CategoryTheory.GradedObject.HasMap", "CategoryTheory.GradedObject.mapBifunctorMapObj", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.GradedObject.CofanMapObjFun.inj_iso_hom", "CategoryTheory.Gr...
true
CategoryTheory.Abelian.SpectralObject.SpectralSequence.HomologyData.cc._auto_1
Mathlib.Algebra.Homology.SpectralObject.SpectralSequence
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
Monoid.PushoutI.NormalWord.rcons._proof_1
Mathlib.GroupTheory.PushoutI
[ "MulOne.toOne", "MonoidHom.range", "MonoidHom.instFunLike", "Equiv.instEquivLike", "Monoid.PushoutI.NormalWord.Transversal.compl", "MonoidHom", "Monoid.toMulOneClass", "congrArg", "Group", "Monoid.CoprodI.Word.toList", "Monoid.CoprodI.Word.Pair.mk", "Membership.mem", "Exists", "Eq.rec", ...
false
BooleanSubalgebra.infClosed._simp_1
Mathlib.Order.BooleanSubalgebra
[ "BooleanAlgebra", "BooleanSubalgebra", "BiheytingAlgebra.toCoheytingAlgebra", "BooleanSubalgebra.infClosed", "BooleanAlgebra.toBiheytingAlgebra", "SetLike.coe", "True", "eq_true", "CoheytingAlgebra.toGeneralizedCoheytingAlgebra", "BooleanSubalgebra.instSetLike", "GeneralizedCoheytingAlgebra.toLa...
false
_private.Mathlib.LinearAlgebra.UnitaryGroup.0.Matrix.kronecker_mem_unitary._simp_1_9
Mathlib.LinearAlgebra.UnitaryGroup
[ "Prod.fst", "And", "propext", "Prod.eq_iff_fst_eq_snd_eq", "Prod", "Eq", "Prod.snd" ]
false
AlgebraicGeometry.HasAffineProperty.isLocal_affineProperty
Mathlib.AlgebraicGeometry.Morphisms.Basic
[ "CategoryTheory.MorphismProperty", "AlgebraicGeometry.Scheme", "outParam", "AlgebraicGeometry.AffineTargetMorphismProperty.IsLocal", "AlgebraicGeometry.AffineTargetMorphismProperty", "AlgebraicGeometry.HasAffineProperty", "CategoryTheory.Category.toCategoryStruct", "AlgebraicGeometry.Scheme.instCatego...
true
_private.Mathlib.Algebra.Lie.InvariantForm.0.LieAlgebra.InvariantForm.orthogonal._simp_6
Mathlib.Algebra.Lie.InvariantForm
[ "LieSubmodule.instSetLike", "Submodule", "CommRing", "LieSubmodule.mem_toSubmodule", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "LieSubmodule.toSubmodule", "LieSubmodule", "Membership.mem", "AddCommGroup", "LieRing", "CommRing.toCommSemiring", "LieRingModule", "Submodule.se...
false
LinearMap.BilinMap.tensorDistrib._proof_20
Mathlib.LinearAlgebra.BilinearForm.TensorProduct
[ "instSMulOfMul", "Monoid.toMulOneClass", "CommSemiring.toSemiring", "IsScalarTower", "MulOne.toMul", "IsScalarTower.left", "AddCommMonoid", "CommSemiring", "MulOneClass.toMulOne", "Semiring.toMonoid", "Monoid.toSemigroup", "Module.toDistribMulAction", "SemigroupAction.toSMul", "AddCommMono...
false
CategoryTheory.Limits.instIsLeftAdjointFunctorColim
Mathlib.CategoryTheory.Limits.HasLimits
[ "CategoryTheory.Functor", "CategoryTheory.Limits.HasColimitsOfShape", "CategoryTheory.Limits.colim", "CategoryTheory.Functor.category", "Nonempty.intro", "CategoryTheory.Functor.IsLeftAdjoint", "Exists.intro", "CategoryTheory.Functor.IsLeftAdjoint.mk", "Nonempty", "CategoryTheory.Limits.colimConst...
true
MeasureTheory.L1.SimpleFunc.integralCLM'_L1_eq_integral
Mathlib.MeasureTheory.Integral.Bochner.L1
[ "Real", "MeasureTheory.Measure", "CompleteSpace", "MeasureTheory.L1.integralCLM'._proof_1", "NormedRing.toRing", "MeasureTheory.L1.integralCLM'._proof_5", "NormedSpace", "MeasureTheory.Lp.simpleFunc.module", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "ContinuousLinearMap.f...
true
Std.Sat.AIG.RefVec.mk.congr_simp
Std.Sat.AIG.RefVec
[ "Std.Sat.AIG.Decl", "Std.Sat.AIG.Fanin.gate", "Vector", "Std.Sat.AIG.RefVec.mk", "Vector.instGetElemNatLt", "Eq.rec", "GetElem.getElem", "Std.Sat.AIG", "Nat", "LT.lt", "Eq.ndrec", "Eq.refl", "Hashable", "instLTNat", "Std.Sat.AIG.RefVec", "Std.Sat.AIG.Fanin", "Eq", "Array.size", "...
true