name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
IsDiscreteValuationRing.toEuclideanDomain
Mathlib.RingTheory.DiscreteValuationRing.Basic
[ "EuclideanDomain.mk", "WithBot.instPreorder", "IsDomain", "IsDiscreteValuationRing.toEuclideanDomain._proof_1", "CommRing", "WithBot", "Preorder.toLT", "IsDiscreteValuationRing.toWithBotNat", "CommSemiring.toSemiring", "IsDiscreteValuationRing", "AddMonoid.toZero", "IsDiscreteValuationRing.toE...
true
Equiv.Perm.pow_mod_orderOf_cycleOf_apply
Mathlib.GroupTheory.Perm.Cycle.Factors
[ "Eq.mpr", "Equiv.instEquivLike", "congrArg", "pow_mod_orderOf", "DecidableRel", "Equiv.Perm.instPowNat", "Equiv.Perm.cycleOf_pow_apply_self", "id", "Nat.instMod", "instHMod", "Equiv.Perm.SameCycle", "DivInvMonoid.toMonoid", "Monoid.toPow", "Group.toDivInvMonoid", "orderOf", "Equiv.Perm...
true
Lean.MonadDeclNameGenerator.recOn
Lean.CoreM
[ "Lean.DeclNameGenerator", "Unit", "Lean.MonadDeclNameGenerator", "Lean.MonadDeclNameGenerator.rec", "Lean.MonadDeclNameGenerator.mk" ]
false
_private.Mathlib.RingTheory.Spectrum.Prime.ChevalleyComplexity.0.ChevalleyThm.PolynomialC.InductionObj.instCoeFunInductionObjForallFinPolynomial
Mathlib.RingTheory.Spectrum.Prime.ChevalleyComplexity
[ "CommRing", "CommSemiring.toSemiring", "CoeFun.mk", "Polynomial", "_private.Mathlib.RingTheory.Spectrum.Prime.ChevalleyComplexity.0.ChevalleyThm.PolynomialC.InductionObj", "CommRing.toCommSemiring", "Nat", "_private.Mathlib.RingTheory.Spectrum.Prime.ChevalleyComplexity.0.ChevalleyThm.PolynomialC.Induc...
true
CategoryTheory.Limits.piConstAdj._proof_3
Mathlib.CategoryTheory.Limits.Shapes.Products
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.Limits.HasProducts", "CategoryTheory.Functor.category", "CategoryTheory.Discrete.functor", "CategoryTheory.Limits.HasLimit", "CategoryTheory.yoneda", "CategoryTheory.discreteCategory", "Opposite.op", "CategoryTheory.types", "CategoryTheory.Ca...
false
FunctionField.ringOfIntegers.instIsIntegralClosureSubtypeMemSubalgebraPolynomial
Mathlib.NumberTheory.FunctionField
[ "Subalgebra.instSetLike", "IsIntegralClosure", "CommSemiring.toSemiring", "Algebra", "Membership.mem", "Algebra.id", "Subalgebra.toAlgebra", "Subtype", "Field.toSemifield", "Field.toCommRing", "Polynomial", "Subalgebra.toCommSemiring", "CommRing.toCommSemiring", "Semifield.toDivisionSemiri...
true
_private.Mathlib.CategoryTheory.Limits.Constructions.Over.Connected.0.CategoryTheory.Over.preservesLimitsOfShape_forget_of_isConnected._proof_1
Mathlib.CategoryTheory.Limits.Constructions.Over.Connected
[ "CategoryTheory.Over", "CategoryTheory.Functor.id", "CategoryTheory.Over.forget", "CategoryTheory.instCategoryOver", "CategoryTheory.IsConnected", "CategoryTheory.Limits.PreservesLimitsOfShape", "CategoryTheory.Category", "CategoryTheory.CostructuredArrow.instPreservesLimitsOfShapeProjOfIsConnected" ]
false
Lean.Core.CoreM.toIO'
Lean.CoreM
[ "Monad.toApplicative", "IO", "instMonadEIO", "Prod.fst", "Lean.Core.State", "Lean.Core.CoreM", "Lean.Core.CoreM.toIO", "Applicative.toFunctor", "IO.Error", "Prod", "Functor.map", "Lean.Core.Context" ]
true
Aesop.EqualUpToIdsM.Context.mk.injEq
Aesop.Util.EqualUpToIds
[ "Aesop.EqualUpToIdsM.Context.mk", "Eq.propIntro", "Lean.MetavarContext", "Lean.injEq_helper", "Aesop.EqualUpToIdsM.Context.mk.inj", "And", "Bool", "Eq.ndrec", "Aesop.EqualUpToIdsM.Context", "Eq.refl", "Eq", "Option" ]
true
Polynomial.eval_divByMonic_pow_rootMultiplicity_ne_zero
Mathlib.Algebra.Polynomial.Div
[ "Polynomial.monic_X_sub_C", "WithBot.instPreorder", "Eq.mpr", "Polynomial.C", "Polynomial.eval", "False", "Nat.instMulZeroClass", "Semigroup.toMul", "CommRing", "WithBot", "Preorder.toLT", "Dvd.dvd", "HMul.hMul", "CommRing.toNonUnitalCommRing", "of_decide_eq_true", "Nat.instOne", "Mo...
true
_private.Lean.Meta.Tactic.Grind.EMatch.0.Lean.Meta.Grind.EMatch.checkDefEq
Lean.Meta.Tactic.Grind.EMatch
[ "Pure.pure", "Lean.Meta.Grind.GrindM", "Lean.Meta.mkFreshLevelMVar", "Lean.Meta.Grind.CnstrRHS", "Lean.Meta.Grind.Goal", "StateRefT'.instAlternativeOfMonad", "Lean.Meta.Grind.State", "ReaderT", "instMonadControlTOfPure", "Lean.Meta.lambdaMetaTelescope", "Lean.Meta.State", "instMonadLiftT", "...
true
_private.Lean.LibrarySuggestions.SymbolFrequency.0.Lean.Environment.unsafeRunMetaM
Lean.LibrarySuggestions.SymbolFrequency
[ "Lean.instBEqFVarId", "Lean.MessageData", "UInt64.instOfNat", "Inhabited.default", "Lean.Core.getMaxHeartbeats", "Array.mkEmpty", "Lean.Core.State.mk", "Lean.Elab.InfoState.mk", "Task", "Lean.LocalContext.mk", "Lean.Syntax.missing", "Lean.Meta.State.mk", "Lean.MessageData.toString", "Lean....
true
UInt16.ofBitVec.sizeOf_spec
Init.SizeOf
[ "UInt16.ofBitVec", "BitVec", "instOfNatNat", "instHAdd", "UInt16", "HAdd.hAdd", "BitVec._sizeOf_inst", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "UInt16._sizeOf_inst", "OfNat.ofNat", "Eq" ]
true
WithTop.top_ne_coe
Mathlib.Order.WithBot
[ "False", "Ne", "WithTop.some", "WithTop.top", "_private.Mathlib.Order.WithBot.0.WithTop.top_ne_coe.match_1_1", "Top.top", "Eq", "WithTop" ]
true
Asymptotics.IsTheta.isThetaTVS
Mathlib.Analysis.Asymptotics.TVS
[ "Iff.mpr", "NormedCommRing.toSeminormedCommRing", "SeminormedAddCommGroup", "NormedSpace", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "NormedField.toField", ...
true
_private.Mathlib.MeasureTheory.Function.Holder.0.ContinuousLinearMap.holder_add_left._simp_1_2
Mathlib.MeasureTheory.Function.Holder
[ "MeasureTheory.Measure", "AddCommGroup.toAddCommMonoid", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "Membership.mem", "SeminormedAddGroup.toContinuousENorm", "MeasureTheory.MemLp.add", "Subtype", "MeasureTheory.MemLp", "IsTopologicalAddGroup.toContinuousAdd", "MeasureTheory.L...
false
_private.Mathlib.Data.Int.GCD.0.Nat.P.match_1.eq_1
Mathlib.Data.Int.GCD
[ "Prod.mk", "Int", "Nat", "_private.Mathlib.Data.Int.GCD.0.Nat.P.match_1", "Eq.refl", "Prod", "Eq" ]
true
_private.Batteries.Data.UInt.0.UInt32.compare_eq_toNat_compare_toNat._simp_1_2
Batteries.Data.UInt
[ "UInt32.toNat", "Nat", "propext", "UInt32", "UInt32.ext_iff", "Eq" ]
false
instShiftRightISize
Init.Data.SInt.Basic
[ "ShiftRight.mk", "ISize.shiftRight", "ShiftRight", "ISize" ]
true
Int16.sub_mul
Init.Data.SInt.Lemmas
[ "Eq.mpr", "Int16", "HMul.hMul", "congrArg", "Int16.mul_sub", "HSub.hSub", "Int16.mul_comm", "id", "instHSub", "instSubInt16", "Eq.refl", "instMulInt16", "Eq", "instHMul" ]
true
IsPrimitiveRoot.squarefree_minpoly_mod
Mathlib.RingTheory.RootsOfUnity.Minpoly
[ "IsDomain", "CommRing", "Nat.Prime", "Dvd.dvd", "ZMod.commRing", "CommSemiring.toSemiring", "AddGroupWithOne.toAddMonoidWithOne", "Fact", "Int", "IsPrimitiveRoot.separable_minpoly_mod", "CommRing.toNonAssocCommRing", "Field.toSemifield", "ZMod", "minpoly", "Polynomial", "CharZero", "...
true
AddSubsemigroup.gi._proof_1
Mathlib.Algebra.Group.Subsemigroup.Basic
[ "AddSubsemigroup.instSetLike", "AddSubsemigroup.subset_closure", "AddSubsemigroup.closure", "HasSubset.Subset", "SetLike.coe", "AddSubsemigroup", "Add", "Set.instHasSubset", "Set" ]
false
_private.Mathlib.NumberTheory.Divisors.0.Nat.filter_dvd_eq_properDivisors._simp_1_4
Mathlib.NumberTheory.Divisors
[ "Preorder.toLT", "Finset", "Preorder.toLE", "Membership.mem", "Finset.Ico", "LE.le", "And", "Finset.instSetLike", "LT.lt", "propext", "LocallyFiniteOrder", "Eq", "SetLike.instMembership", "Preorder", "Finset.mem_Ico" ]
false
_private.Std.Sat.AIG.CNF.0.Std.Sat.AIG.toCNF.go._unary._proof_27
Std.Sat.AIG.CNF
[ "Std.Sat.AIG.Decl", "_private.Std.Sat.AIG.CNF.0.Std.Sat.AIG.toCNF.Cache.hmarks", "_private.Std.Sat.AIG.CNF.0.Std.Sat.AIG.toCNF._proof_23", "instHashableNat", "Array", "GetElem.getElem", "Bool.true", "_private.Std.Sat.AIG.CNF.0.Std.Sat.AIG.toCNF.State.cnf", "Std.Sat.AIG", "Array.instGetElemNatLtSiz...
false
CategoryTheory.SimplicialObject.id_left_app
Mathlib.AlgebraicTopology.SimplicialObject.Basic
[ "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.SimplicialObject.const", "CategoryTheory.Functor.category", "CategoryTheory.Comma.left", "CategoryTheory.Functor.id", "CategoryTheory.CategoryStruct.id", "CategoryTheory.CommaMorphism.left", "SimplexCategory", "C...
true
CategoryTheory.GrothendieckTopology.preservesLimits_diagramFunctor
Mathlib.CategoryTheory.Sites.LeftExact
[ "CategoryTheory.GrothendieckTopology.Cover.shape", "CategoryTheory.Functor", "CategoryTheory.Limits.hasLimitsOfShapeOfHasLimits", "Opposite", "CategoryTheory.GrothendieckTopology.preservesLimitsOfShape_diagramFunctor", "CategoryTheory.Functor.category", "CategoryTheory.GrothendieckTopology.diagramFuncto...
true
Filter.HasBasis.eventuallyConst_iff
Mathlib.Order.Filter.EventuallyConst
[ "congrArg", "Filter.map", "Filter.EventuallyConst", "Membership.mem", "Exists", "Filter.HasBasis.map", "Filter.HasBasis.subsingleton_iff", "iff_self", "_private.Mathlib.Order.Filter.EventuallyConst.0.Filter.HasBasis.eventuallyConst_iff._simp_1_1", "funext", "And", "Filter.HasBasis", "Iff", ...
true
Lean.Lsp.instToJsonTextDocumentSyncKind
Lean.Data.Lsp.TextSync
[ "Lean.Json", "Lean.Lsp.TextDocumentSyncKind", "Lean.Json.instOfNat", "Unit", "Lean.ToJson.mk", "Lean.ToJson", "Lean.Lsp.instToJsonTextDocumentSyncKind.match_1", "OfNat.ofNat" ]
true
Lean.Doc.Inline.link.inj
Lean.DocString.Types
[ "String", "Array", "And", "And.intro", "eq_of_heq", "HEq", "Eq", "Lean.Doc.Inline.link", "Lean.Doc.Inline", "Lean.Doc.Inline.link.noConfusion" ]
true
_private.Init.Data.BitVec.Bitblast.0.BitVec.carry_extractLsb'_eq_carry._simp_1_3
Init.Data.BitVec.Bitblast
[ "Decidable", "decide_eq_decide", "Iff", "propext", "Bool", "Decidable.decide", "Eq" ]
false
Finset.image₂_left
Mathlib.Data.Finset.NAry
[ "Eq.mpr", "congrArg", "Finset", "Set.image2_left", "id", "Finset.coe_injective", "SetLike.coe", "Finset.instSetLike", "Set.image2", "Finset.Nonempty", "congrFun'", "Eq", "Finset.coe_image₂", "DecidableEq", "Finset.image₂", "Set" ]
true
Subarray.toList_mergeSort
Init.Data.Array.Sort.Lemmas
[ "Std.Slice.toList", "Std.Rci.mk", "Eq.mpr", "Std.Iterators.Types.Take.instIterator", "Std.Slice.Internal.ListSliceData", "False", "Subarray", "Std.Rci", "instHDiv", "List.merge._auto_1", "ListSlice.instToIterator", "Subarray.toList_toArray", "Subarray.mergeSort.induct_unfolding", "eq_false...
true
LocallyConstant.instRing._proof_3
Mathlib.Topology.LocallyConstant.Algebra
[ "Distrib.toAdd", "LocallyConstant", "instDistribOfSemiring", "LocallyConstant.instAdd", "TopologicalSpace", "instHAdd", "HAdd.hAdd", "LocallyConstant.instFunLike", "Ring.toSemiring", "Eq", "DFunLike.coe", "Ring", "rfl" ]
false
CategoryTheory.ShortComplex.SnakeInput.Hom.comp._proof_2
Mathlib.Algebra.Homology.ShortComplex.SnakeLemma
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.Category.assoc", "CategoryTheory.ShortComplex.SnakeInput.L₂", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.SnakeInput", "CategoryTheory.ShortComplex.SnakeInput.H...
false
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.minKey_insert_le_minKey._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
ProbabilityTheory.integral_continuousLinearMap_gaussianReal
Mathlib.Probability.Distributions.Gaussian.Real
[ "InnerProductSpace.toNormedSpace", "Real", "Semiring.toModule", "Real.instRCLike", "ContinuousLinearMap.funLike", "PseudoMetricSpace.toUniformSpace", "ProbabilityTheory.gaussianReal", "Real.semiring", "ContinuousLinearMap.toLinearMap", "Real.normedAddCommGroup", "NNReal", "ProbabilityTheory.in...
true
CStarMatrix.instAddZeroClass._proof_1
Mathlib.Analysis.CStarAlgebra.CStarMatrix
[ "CStarMatrix.instZero", "Matrix.addZeroClass._proof_1", "AddZeroClass.toAddZero", "CStarMatrix", "AddZero.toZero", "instHAdd", "AddZeroClass", "HAdd.hAdd", "AddZero.toAdd", "Zero.toOfNat0", "CStarMatrix.instAdd", "OfNat.ofNat", "AddZero.mk", "Eq" ]
false
_private.Mathlib.Combinatorics.SimpleGraph.Girth.0.SimpleGraph.girth_eq_zero._proof_1_1
Mathlib.Combinatorics.SimpleGraph.Girth
[ "Lean.RArray.leaf", "False", "Lean.Grind.not_not", "Int.Linear.le_norm_expr", "Int.Linear.le_unsat", "Classical.byContradiction", "Nat.ToInt.natCast_ofNat", "id", "SimpleGraph.girth", "Lean.RArray", "Int.instNegInt", "Int.Linear.eq_le_subst_nonneg", "instOfNatNat", "Int", "NatCast.natCas...
false
_private.Mathlib.GroupTheory.GroupAction.SubMulAction.OfStabilizer.0.SubMulAction.ofStabilizer.inv_conjMap_comp_apply._simp_1_1
Mathlib.GroupTheory.GroupAction.SubMulAction.OfStabilizer
[ "Subtype.coe_inj", "Subtype", "propext", "Eq.symm", "Subtype.val", "Eq" ]
false
HomotopicalAlgebra.bifibrantObjects
Mathlib.AlgebraicTopology.ModelCategory.Bifibrant
[ "CompleteLattice.toLattice", "Pi.instMinForall_mathlib", "Prop.instCompleteLattice", "SemilatticeInf.toMin", "HomotopicalAlgebra.cofibrantObjects", "CategoryTheory.Category.toCategoryStruct", "HomotopicalAlgebra.CategoryWithCofibrations", "CategoryTheory.Limits.HasInitial", "CategoryTheory.ObjectPro...
true
Units.instStarMul._proof_1
Mathlib.Algebra.Star.Basic
[ "Monoid", "Units.val", "MulOne.toOne", "HMul.hMul", "Monoid.toMulOneClass", "Units.inv_val", "StarMul", "Units", "MulOne.toMul", "congr_arg", "MulOneClass.toMulOne", "Inv.inv", "StarMul.toInvolutiveStar", "StarMul.star_mul", "One.toOfNat1", "InvolutiveStar.toStar", "Units.inv", "Of...
false
_private.Mathlib.LinearAlgebra.FixedSubmodule.0.LinearEquiv.fixedReduce_eq_smul_iff._simp_1_2
Mathlib.LinearAlgebra.FixedSubmodule
[ "Submodule", "Submodule.Quotient.addCommMonoid", "AddCommGroup.toAddCommMonoid", "LinearMap.instFunLike", "Submodule.hasQuotient", "AddCommGroup", "Submodule.Quotient.module", "LinearMap", "HasQuotient.Quotient", "LinearEquiv.toLinearMap", "LinearMap.fixedSubmodule", "RingHomInvPair.ids", "L...
false
DirectLimit.zpow₀_def
Mathlib.Algebra.Colimit.DirectLimit
[ "DirectLimit.setoid", "GroupWithZero.toMonoidWithZero", "GroupWithZero.toDivInvMonoid", "GroupWithZero", "DivInvMonoid.toZPow", "Preorder.toLE", "Int", "LE.le", "Quotient.mk", "MonoidWithZeroHomClass", "DirectLimit.instGroupWithZero", "MonoidWithZero.toMulZeroOneClass", "HPow.hPow", "Quoti...
true
_private.Mathlib.Topology.Algebra.Valued.ValuativeRel.0.IsValuativeTopology.instValuedValueGroupWithZeroOfIsUniformAddGroup._simp_2
Mathlib.Topology.Algebra.Valued.ValuativeRel
[ "GroupWithZero.toMonoidWithZero", "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "Preorder.toLT", "ValuationClass.toMonoidWithZeroHomClass", "Monoid.toMulOneClass", "MonoidWithZeroHomClass.toMonoidWithZeroHom", "PartialOrder.toPreorder", "Valuation.restrict_lt_iff_lt_embedding", ...
false
SimpleGraph.boxProd
Mathlib.Combinatorics.SimpleGraph.Prod
[ "SimpleGraph.Adj", "SimpleGraph.mk", "Prod.fst", "SimpleGraph", "And", "SimpleGraph.boxProd._proof_1", "Or", "SimpleGraph.boxProd._proof_4", "Prod", "Eq", "Prod.snd" ]
true
Finset.addETransformRight_zero
Mathlib.Combinatorics.Additive.ETransform
[ "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "Finset.inter_self", "AddMonoid.toAddSemigroup", "Finset.instUnion", "instVAddOfAdd", "congrArg", "Finset", "Finset.addActionFinset", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "AddOpposite", "Finset.addETransformRight", "Pro...
true
_private.Lean.Elab.BuiltinNotation.0.Lean.Elab.Term.mkMPairs.loop._unsafe_rec
Lean.Elab.BuiltinNotation
[ "Pure.pure", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Syntax.ident", "String", "Lean.SourceInfo", "_private.Lean.Elab.BuiltinNotation.0.Lean.Elab.Term.mkMPairs.loop._unsafe_rec", "HSub.hSub", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.instInhabitedTSyntax", "Lean.TSyntax...
false
CategoryTheory.ObjectProperty.hasInducedTStructure_iff
Mathlib.CategoryTheory.Triangulated.TStructure.Induced
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Triangulated.TStructure.IsLE", "CategoryTheory.Functor.Additive", "CategoryTheory.ObjectProperty.HasInducedTStructure.mk", "CategoryTheory.shiftFunctor", "Membership.mem", "Exists", "Int", "Int.instAddMonoid", "CategoryTheor...
true
List.instLawfulGetElemNatLtLength
Init.GetElem
[ "Eq.mpr", "Inhabited.default", "Decidable.casesOn", "GetElem?.toGetElem", "congrArg", "Decidable", "List.instGetElem?NatLtLength", "Option.some", "Eq.mp", "dif_pos", "id", "instOfNatNat", "List.rec", "LE.le", "instLENat", "dif_neg", "dite", "List.cons", "Nat.casesAuxOn", "GetEl...
true
Lean.Grind.Linarith.Expr.rec
Init.Grind.Ordered.Linarith
[ "Lean.Grind.Linarith.Expr.zero", "Lean.Grind.Linarith.Expr", "Lean.Grind.Linarith.Expr.neg", "Lean.Grind.Linarith.Expr.intMul", "Lean.Grind.Linarith.Expr.natMul", "Lean.Grind.Linarith.Expr.sub", "Int", "Lean.Grind.Linarith.Var", "Lean.Grind.Linarith.Expr.add", "Nat", "Lean.Grind.Linarith.Expr.va...
false
Batteries.Tactic.«_aux_Batteries_Tactic_HelpCmd___macroRules_Batteries_Tactic_command#help_Term+_____1»
Batteries.Tactic.HelpCmd
[ "Pure.pure", "Lean.Syntax.node", "Lean.TSyntax", "Unit.unit", "Lean.MonadRef.mkInfoFromRefPos", "instMonadExceptOfMonadExceptOf", "Array.push", "Lean.SourceInfo", "Lean.mkIdentFrom", "MonadExcept.throw", "Lean.Syntax.node5", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exceptio...
false
Std.Internal.IO.Process.ResourceUsageStats.majorPageFaults
Std.Internal.Async.Process
[ "UInt64", "Std.Internal.IO.Process.ResourceUsageStats" ]
true
Std.DTreeMap.Const.getThenInsertIfNew?
Std.Data.DTreeMap.Basic
[ "Std.DTreeMap.Internal.Impl.Const.getThenInsertIfNew?", "Std.DTreeMap", "Ord.mk", "Ordering", "Prod.mk", "Std.DTreeMap.inner", "Std.DTreeMap.Const.getThenInsertIfNew?._proof_1", "Prod.fst", "Std.DTreeMap.mk", "Std.DTreeMap.Const.getThenInsertIfNew?._proof_2", "Prod", "Prod.snd", "Std.DTreeMa...
true
Con.toSetoid_inj
Mathlib.GroupTheory.Congruence.Defs
[ "Function.Injective.eq_iff", "Mul", "Setoid", "Iff", "Con.toSetoid", "Con.toSetoid_injective", "Con", "Eq" ]
true
KaehlerDifferential.tensorKaehlerEquiv._proof_5
Mathlib.RingTheory.Kaehler.TensorProduct
[ "CommRing", "Algebra.to_smulCommClass", "TensorProduct.leftHasSMul", "Semiring.toModule", "IsScalarTower.right", "CommSemiring.toSemiring", "IsScalarTower", "Algebra", "Algebra.toSMul", "Algebra.toModule", "Algebra.id", "NonUnitalNonAssocSemiring.toAddCommMonoid", "CommRing.toCommSemiring", ...
false
true_iff
Init.SimpLemmas
[ "trivial", "Iff", "True", "Iff.intro", "propext", "Iff.mp", "Eq" ]
true
CategoryTheory.Localization.Preadditive.add'_assoc
Mathlib.CategoryTheory.Localization.CalculusOfFractions.Preadditive
[ "CategoryTheory.MorphismProperty.LeftFraction₂.add", "CategoryTheory.MorphismProperty.HasLeftCalculusOfFractions", "Eq.mpr", "CategoryTheory.MorphismProperty", "CategoryTheory.MorphismProperty.LeftFraction₃.s", "CategoryTheory.Functor", "CategoryTheory.MorphismProperty.LeftFraction₂.Y'", "AddMonoid.to...
true
CategoryTheory.ComposableArrows.isoMk₅_hom
Mathlib.CategoryTheory.ComposableArrows.Basic
[ "CategoryTheory.ComposableArrows.homMk₅", "_private.Mathlib.CategoryTheory.ComposableArrows.Basic.0._proof_246", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ComposableArrows.map'._proof_8", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "_private.Mathlib.Cate...
true
Finset.erase_sdiff_comm
Mathlib.Data.Finset.Basic
[ "_private.Mathlib.Data.Finset.Basic.0.Finset.erase_sdiff_comm._proof_1_1", "Finset", "Finset.instSDiff", "SDiff.sdiff", "Finset.erase", "Eq", "DecidableEq" ]
true
Char.isValue
Lean.Meta.Tactic.Simp.BuiltinSimprocs.Char
[ "Pure.pure", "ReaderT", "Char.fromExpr?", "Lean.Meta.Simp.MethodsRef", "ReaderT.instMonad", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "instDecidableEqBool", "Applicative.toPure", "Lean.Meta.Simp.DStep", "Bool.true", "Option.none", "Lean.TransformStep.done", "Lean.Meta.Simp.SimpM", ...
true
CFC.nnrpow_eq_cfcₙ_real
Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.Basic
[ "cfcₙ", "Eq.mpr", "NNReal.instCommSemiring", "Real.instPow", "CFC.nnrpow_eq_cfcₙ_real._auto_1", "_private.Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.Basic.0.CFC.nnrpow_eq_cfcₙ_real._proof_1_1", "IsSelfAdjoint", "Real.partialOrder", "Real.instLE", "Real", "NonUnitalCommRi...
true
CategoryTheory.Limits.isEqualizerCompMono._proof_6
Mathlib.CategoryTheory.Limits.Shapes.Equalizers
[ "CategoryTheory.Limits.isEqualizerCompMono._proof_2", "CategoryTheory.Limits.Fork.IsLimit.lift'", "CategoryTheory.Limits.Fork.ofι", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.Limits.isEqualizerCompMono._pr...
false
_private.Mathlib.Geometry.Euclidean.Volume.Measure.0.MeasureTheory.Measure.euclideanHausdorffMeasure._proof_1
Mathlib.Geometry.Euclidean.Volume.Measure
[ "instSMulOfMul", "IsScalarTower.right", "CommSemiring.toSemiring", "IsScalarTower", "Algebra.toSMul", "Algebra.id", "ENNReal.instCommSemiring", "instDistribOfSemiring", "Distrib.toMul", "ENNReal" ]
false
_private.Std.Data.DHashMap.Internal.AssocList.Basic.0.Std.DHashMap.Internal.AssocList.forInStep.go._f
Std.Data.DHashMap.Internal.AssocList.Basic
[ "Pure.pure", "_private.Std.Data.DHashMap.Internal.AssocList.Basic.0.Std.DHashMap.Internal.AssocList.forInStep.go.match_1", "Std.DHashMap.Internal.AssocList.below", "Monad.toApplicative", "Std.DHashMap.Internal.AssocList.nil", "ForInStep.done", "Applicative.toPure", "ForInStep", "Monad.toBind", "St...
false
_private.Mathlib.RingTheory.Smooth.StandardSmoothOfFree.0.Algebra.Smooth.exists_span_eq_top_isStandardSmooth._simp_1_4
Mathlib.RingTheory.Smooth.StandardSmoothOfFree
[ "Lattice.toSemilatticeSup", "Semiring.toModule", "PrimeSpectrum.basicOpen", "CompleteLattice.toLattice", "TopologicalSpace.Opens.instCompleteLattice", "CommSemiring.toSemiring", "iSup", "PrimeSpectrum.iSup_basicOpen_eq_top_iff", "PartialOrder.toPreorder", "TopologicalSpace.Opens", "Preorder.toLE...
false
CategoryTheory.MonoidalCategory.Arrow.PushoutProduct.whiskerLeftIso._proof_6
Mathlib.CategoryTheory.Monoidal.PushoutProduct
[ "CategoryTheory.Functor", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "CategoryTheory.Limits.WalkingSpan", "CategoryTheory.Functor.leibnizPushout._proof_1", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.Arrow.left", "CategoryTheory.Arrow.hom", "Catego...
false
CochainComplex.MappingConeCompHomotopyEquiv.inv
Mathlib.Algebra.Homology.HomotopyCategory.Triangulated
[ "CochainComplex.mappingConeCompTriangle._proof_4", "HomologicalComplex.instCategory", "CochainComplex.mappingConeCompTriangle._proof_3", "CategoryTheory.CategoryStruct.toQuiver", "CochainComplex.mappingCone.inr", "Quiver.Hom", "CochainComplex.HomComplex.Cochain.comp", "CategoryTheory.Pretriangulated.T...
true
Std.DTreeMap.Internal.Impl.get!_diff
Std.Data.DTreeMap.Internal.Lemmas
[ "Eq.mpr", "Inhabited.default", "Std.Internal.List.DistinctKeys", "Bool.not", "Std.DTreeMap.Internal.Impl.get!_eq_getValueCast!", "Ord", "Std.instLawfulBEqOrd", "congrArg", "Std.DTreeMap.Internal.Impl.contains_eq_containsKey", "beqOfOrd", "List.map", "Std.DTreeMap.Internal.Impl.Ordered.distinct...
true
_private.Mathlib.RingTheory.Spectrum.Prime.Topology.0.PrimeSpectrum.toPiLocalization_surjective_of_discreteTopology.match_1_4
Mathlib.RingTheory.Spectrum.Prime.Topology
[ "Equiv.instEquivLike", "Membership.mem", "Set.Elem", "Set.instSingletonSet", "Equiv", "Set.instInter", "Inter.inter", "And.casesOn", "CommSemiring", "And.intro", "PrimeSpectrum", "Set.range", "Equiv.symm", "Singleton.singleton", "Set.instMembership", "DFunLike.coe", "EquivLike.toFunL...
false
Finset.Ioo_subset_Ioo_left
Mathlib.Order.Interval.Finset.Basic
[ "le_rfl", "Finset", "Preorder.toLE", "HasSubset.Subset", "LE.le", "Finset.instHasSubset", "LocallyFiniteOrder", "Finset.Ioo_subset_Ioo", "Finset.Ioo", "Preorder" ]
true
instCommRingFreeCommRing._proof_39
Mathlib.RingTheory.FreeCommRing
[ "instCommRingFreeCommRing._aux_37", "Mul.mk", "instCommRingFreeCommRing._proof_30", "One.mk", "FreeCommRing", "instCommRingFreeCommRing._aux_20", "instCommRingFreeCommRing._aux_1", "Add.mk", "AddMonoid.toZero", "AddMonoid.mk", "Semigroup.mk", "instCommRingFreeCommRing._proof_7", "instCommRin...
false
RelSeries.eraseLast._proof_2
Mathlib.Order.RelSeries
[ "Preorder.toLT", "SetRel", "HSub.hSub", "Fin.isLt", "Nat.sub_le", "RelSeries.length", "instSubNat", "instOfNatNat", "RelSeries", "Fin.val", "instHSub", "Nat.instPreorder", "Nat", "LT.lt", "OfNat.ofNat", "Fin", "lt_of_lt_of_le" ]
false
Matrix.instIsOrderedAddMonoid
Mathlib.Analysis.Matrix.Order
[ "NormedCommRing.toNormedRing", "Eq.mpr", "Matrix.le_iff", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "NormedRing.toRing", "AddGroupWithOne.toAddGroup", "congrArg", "Matrix", "AddMonoid.toAddZeroClass", "HSub.hSub", "Preorder.toLE", "RCLike.toPartialOrder", "AddZeroClass.toAddZero", "...
true
_private.Mathlib.Tactic.NormNum.NatLog.0.Mathlib.Meta.NormNum.nat_clog_helper._proof_1_1
Mathlib.Tactic.NormNum.NatLog
[ "Int.Linear.not_eq_norm_expr", "Lean.RArray.leaf", "False", "Int.Linear.le_norm_expr", "Classical.byContradiction", "Nat.ToInt.add_congr", "Lean.Grind.Nat.lt_eq", "Eq.mp", "Lean.RArray.branch", "Nat.ToInt.natCast_ofNat", "Int.Linear.Expr.add", "id", "Lean.RArray", "Int.Linear.eq_of_le_ge",...
false
MellinConvergent.div_const
Mathlib.Analysis.MellinTransform
[ "Eq.mpr", "InnerProductSpace.toNormedSpace", "Real", "Set.Ioi", "instHSMul", "MeasureTheory.Measure", "instHDiv", "HMul.hMul", "Complex.instNormedAddCommGroup", "Real.instZero", "Monoid.toMulOneClass", "congrArg", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "_privat...
true
SaturatedSubmonoid.instTop.eq_1
Mathlib.Algebra.Group.Submonoid.Saturation
[ "SaturatedSubmonoid.instTop", "SaturatedSubmonoid", "SaturatedSubmonoid.mk", "Top.mk", "Submonoid.instTop", "Submonoid.MulSaturated.top", "Eq.refl", "MulOneClass", "Top.top", "Eq", "Top", "Submonoid" ]
true
isUltrametricDist_iff_forall_norm_natCast_le_one
Mathlib.Analysis.Normed.Field.Ultra
[ "Norm.norm", "Real.instLE", "Real", "NormedRing.toRing", "NormedDivisionRing.toNorm", "AddGroupWithOne.toAddMonoidWithOne", "NormedDivisionRing.toNormedRing", "AddMonoidWithOne.toNatCast", "NormedDivisionRing.to_normOneClass", "LE.le", "Nat.cast", "Real.instOne", "Iff", "IsUltrametricDist....
true
Std.DHashMap.Internal.Raw₀.forIn_eq_forIn_toList
Std.Data.DHashMap.Internal.RawLemmas
[ "congrArg", "instForInOfForIn'", "Std.DHashMap.Raw", "inferInstance", "Std.DHashMap.Raw.toList", "LawfulMonad", "ForIn.forIn", "Sigma.fst", "instOfNatNat", "Membership", "ForInStep", "List", "List.instMembership", "Nat", "congr", "Std.DHashMap.Raw.buckets", "LT.lt", "True", "eq_s...
true
Finpartition.ofPairwiseDisjoint._proof_3
Mathlib.Order.Partition.Finpartition
[ "Finset", "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "OrderBot", "Membership.mem", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "Bot.bot", "DistribLattice", "Finset.instSetLike", "Finset.notMem_erase", "Finset.erase", "Not", "SetLike.instMembership", ...
false
CategoryTheory.Limits.kernelSubobjectMap_arrow
Mathlib.CategoryTheory.Subobject.Limits
[ "CategoryTheory.Subobject.arrow", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Subobject.underlying", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "PartialOrder.toPreorder", "CategoryTheory.Arrow.left", "Preorder.smallCategory", "CategoryTheory.Limits.HasKernel"...
true
_private.Mathlib.Data.Set.Image.0.Set.exists_subset_image_iff._simp_1_1
Mathlib.Data.Set.Image
[ "Exists", "Set.subset_image_iff", "HasSubset.Subset", "And", "propext", "Set.image", "Eq", "Set.instHasSubset", "Set" ]
false
CategoryTheory.ComposableArrows.IsComplex.opcyclesToCycles_fac._proof_22
Mathlib.Algebra.Homology.ExactSequenceFour
[ "CategoryTheory.ComposableArrows.IsComplex.opcyclesToCycles_fac._auto_1", "LE.le", "instLENat", "autoParam", "Nat", "_private.Mathlib.Algebra.Homology.ExactSequenceFour.0.CategoryTheory.ComposableArrows.IsComplex.opcyclesToCycles_fac._proof_21" ]
false
Mathlib.Tactic.BicategoryLike.Mor₂Iso.comp.sizeOf_spec
Mathlib.Tactic.CategoryTheory.Coherence.Datatypes
[ "Mathlib.Tactic.BicategoryLike.Mor₂Iso.comp", "Mathlib.Tactic.BicategoryLike.Mor₂Iso", "Mathlib.Tactic.BicategoryLike.Mor₁._sizeOf_inst", "Lean.Expr", "instOfNatNat", "Mathlib.Tactic.BicategoryLike.Mor₁", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "OfNat.ofNat"...
true
CategoryTheory.Precoverage.ZeroHypercover.isoMk_inv
Mathlib.CategoryTheory.Sites.Hypercover.Zero
[ "CategoryTheory.Precoverage", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Precoverage.ZeroHypercover.instCategory", "CategoryTheory.Iso", "CategoryTheory.Precoverage.ZeroHypercover", "CategoryTheory.Precoverage.ZeroHypercover.isoMk", "CategoryTheory.PreZeroHypercover", "C...
true
Finset.sort_range
Mathlib.Data.Finset.Sort
[ "Nat.instAntisymmLe", "List.range", "LE.le", "instLENat", "instIsTransLe", "Finset.range", "List", "Nat.instPreorder", "Nat", "Finset.sort", "Multiset.sort_range", "Eq", "Nat.decLe", "LE.total", "Nat.instLinearOrder" ]
true
CategoryTheory.HasLiftingProperty.transfiniteComposition.SqStruct.mk.injEq
Mathlib.CategoryTheory.SmallObject.TransfiniteCompositionLifting
[ "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Eq.propIntro", "CategoryTheory.HasLiftingProperty.transfiniteComposition.SqStruct.w₂._autoParam", "LinearOrder", "OrderBot.toBot", "PartialOrder.toPreorder", "CategoryTheory.Functor.c...
true
SemilatInfCat.instConcreteCategoryInfTopHomX
Mathlib.Order.Category.Semilat
[ "SemilatInfCat.instConcreteCategoryInfTopHomX._proof_3", "SemilatInfCat.isOrderTop", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ConcreteCategory.mk", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatInfCat.isSemilatticeInf", "SemilatticeInf.toPartialOrder", "InfTopH...
true
Lean.AddErrorMessageContext.mk
Lean.Exception
[ "Lean.MessageData", "Lean.AddErrorMessageContext", "Lean.AddErrorMessageContext.mk", "Lean.Syntax", "Prod" ]
true
Lean.Server.Test.Runner.Client.InfoPopup.mk.injEq
Lean.Server.Test.Runner
[ "Eq.propIntro", "String", "Lean.Server.Test.Runner.Client.SubexprInfo", "Lean.injEq_helper", "Lean.Server.Test.Runner.Client.InfoPopup.mk.inj", "Lean.Widget.TaggedText", "And", "Lean.Server.Test.Runner.Client.InfoPopup.mk", "Lean.Server.Test.Runner.Client.InfoPopup", "Eq.ndrec", "Eq.refl", "Eq...
true
MeasureTheory.integral_Ioi_of_hasDerivAt_of_nonpos
Mathlib.MeasureTheory.Integral.IntegralEqImproper
[ "IsModuleTopology.toContinuousSMul", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "Real.instLE", "Real", "Set.Ioi", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "ContinuousWithinAt", "Set.Ici", "IsTopologicalRing.toIsTopologicalSemiring", "...
true
Std.Do.SVal.uncurry._sunfold
Std.Do.SPred.SVal
[ "Std.Do.SVal.StateTuple", "List.cons", "List", "Std.Do.SVal", "Std.Do.SVal.uncurry.match_1", "Std.Do.SVal.uncurry.match_3", "List.nil", "Std.Do.SVal.uncurry" ]
false
_private.Lean.Compiler.LCNF.MonoTypes.0.Lean.Compiler.LCNF.getParamTypes.go
Lean.Compiler.LCNF.MonoTypes
[ "_private.Lean.Compiler.LCNF.MonoTypes.0.Lean.Compiler.LCNF.getParamTypes.go._f", "Lean.Expr.brecOn", "Lean.Expr", "Array" ]
true
LocalizedModule.instSemiring._proof_9
Mathlib.Algebra.Module.LocalizedModule.Basic
[ "Semigroup.toMul", "HMul.hMul", "LocalizedModule", "CommSemiring.toSemiring", "AddMonoid.toZero", "Algebra", "Algebra.toModule", "MulZeroOneClass.toMulOneClass", "instMulZeroOneClassOfSemiring", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "OreLocalization.oreSetComm", "NonAs...
false
Ergodic.toPreErgodic
Mathlib.Dynamics.Ergodic.Ergodic
[ "Ergodic", "MeasureTheory.Measure", "Ergodic._auto_1", "PreErgodic", "autoParam", "MeasurableSpace" ]
true
deriv_comp_add_const
Mathlib.Analysis.Calculus.Deriv.Shift
[ "Eq.mpr", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "NormedSpace", "congrArg", "deriv", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "NormedField.toField", "id", "Distrib.toAdd", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "NormedCommRing.toNonUnitalNormedCommRin...
true
AlgebraicGeometry.IsFinite.mk
Mathlib.AlgebraicGeometry.Morphisms.Finite
[ "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "CommRingCat.Hom.hom", "Opposite", "CommRingCat.carrier", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AlgebraicGeometry.IsAffineHom", "Topologi...
true
Fin.map_castAddEmb_Iic
Mathlib.Order.Interval.Finset.Fin
[ "Fin.castAddEmb", "Fin.map_castLEEmb_Iic", "Fin.castAdd", "Finset", "PartialOrder.toPreorder", "Nat.le_add_right", "Finset.map", "instHAdd", "Fin.instPartialOrder", "HAdd.hAdd", "Nat", "Finset.Iic", "instAddNat", "Fin.instLocallyFiniteOrderBot", "Fin", "Eq" ]
true
Aesop.Goal.unsafeQueue?
Aesop.Tree.Data
[ "Aesop.Goal", "Option.some", "instDecidableEqBool", "Aesop.Goal.unsafeQueue", "Aesop.UnsafeQueue", "Bool.true", "Option.none", "Bool", "Eq", "Aesop.Goal.unsafeRulesSelected", "Option", "ite" ]
true
CategoryTheory.CanonicallyOverClass.mk._flat_ctor
Mathlib.CategoryTheory.Comma.Over.OverClass
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.CanonicallyOverClass.mk", "semiOutParam", "CategoryTheory.OverClass.ofHom", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.CanonicallyOverClass", "CategoryTheory.Category" ]
false
_private.Mathlib.Combinatorics.SetFamily.Compression.Down.0.Finset.nonMemberSubfamily_image_insert._simp_1_1
Mathlib.Combinatorics.SetFamily.Compression.Down
[ "Finset", "Finset.eq_empty_iff_forall_notMem", "Membership.mem", "Finset.instEmptyCollection", "Finset.instSetLike", "propext", "EmptyCollection.emptyCollection", "Eq", "Not", "SetLike.instMembership" ]
false