name
stringlengths
2
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module
stringlengths
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deps
listlengths
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allowCompletion
bool
2 classes
_private.Batteries.Classes.SatisfiesM.0.MonadSatisfying.instEStateM.match_1.splitter
Batteries.Classes.SatisfiesM
[ "EStateM.Result", "EStateM.Result.ok", "EStateM.Result.error", "Eq", "MonadSatisfying.instEStateM.match_1" ]
true
Submonoid.topologicalClosure._proof_2
Mathlib.Topology.Algebra.Monoid
[ "Monoid", "MulOne.toOne", "Monoid.toMulOneClass", "subset_closure", "Membership.mem", "Submonoid.one_mem", "TopologicalSpace", "MulOneClass.toMulOne", "SetLike.coe", "closure", "One.toOfNat1", "Submonoid.instSetLike", "OfNat.ofNat", "Set.instMembership", "Submonoid", "Set" ]
false
Lean.Meta.Match.Problem.mk.noConfusion
Lean.Meta.Match.Basic
[ "Lean.Meta.Match.Example", "Lean.Meta.Match.Alt", "Lean.MVarId", "Lean.Expr", "id", "Lean.Meta.Match.Problem", "Lean.Meta.Match.Problem.mk", "List", "Eq", "Lean.Meta.Match.Problem.noConfusion" ]
false
RingCon.matrix
Mathlib.LinearAlgebra.Matrix.Ideal
[ "Con.mk", "RingCon.matrix._proof_2", "Matrix.add", "RingCon.instFunLikeForallProp", "Matrix.instMulOfFintypeOfAddCommMonoid", "Matrix", "RingCon", "Distrib.toAdd", "NonUnitalNonAssocSemiring.toAddCommMonoid", "Fintype", "Distrib.toMul", "RingCon.matrix._proof_1", "RingCon.matrix._proof_3", ...
true
_private.Init.Data.UInt.Lemmas.0.UInt16.ofBitVec_toBitVec.match_1_1
Init.Data.UInt.Lemmas
[ "instPowNat", "UInt16.ofBitVec", "Fin.casesOn", "BitVec.ofFin", "BitVec", "Fin.mk", "UInt16.casesOn", "instOfNatNat", "instNatPowNat", "BitVec.casesOn", "UInt16", "HPow.hPow", "Nat", "LT.lt", "instHPow", "instLTNat", "OfNat.ofNat", "Fin" ]
false
Std.TreeMap.getD_alter_self
Std.Data.TreeMap.Lemmas
[ "Std.DTreeMap.Const.getD_alter_self", "Std.TreeMap.alter", "Option.getD", "Std.TreeMap.inner", "Membership.mem", "Ordering", "Std.TransCmp", "Std.TreeMap.instMembership", "Std.TreeMap.instGetElem?Mem", "GetElem?.getElem?", "Std.TreeMap.getD", "Eq", "Std.TreeMap", "Option" ]
true
AddSubgroup.neg_subset_closure._simp_1
Mathlib.Algebra.Group.Subgroup.Pointwise
[ "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "AddSubgroup.neg_subset_closure", "HasSubset.Subset", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "AddSubgroup", "AddGroup", "SetLike.coe", "AddSubgroup.instSetLike", "True", "Set.neg", "eq_true", "Eq", ...
false
CategoryTheory.Functor.HomObj.mk.congr_simp
Mathlib.CategoryTheory.Functor.FunctorHom
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.HomObj.mk", "CategoryTheory.ConcreteCategory.hom", "TypeCat.instFunLikeFun", "Eq.rec", "CategoryTheory.Functor.map", "TypeCat.Fun", "CategoryTheory.types", "CategoryTheory.CategoryStruct.com...
true
Std.ExtTreeMap.size_insertIfNew_le
Std.Data.ExtTreeMap.Lemmas
[ "Std.ExtTreeMap.size", "Ordering", "instOfNatNat", "LE.le", "Std.TransCmp", "instLENat", "instHAdd", "Std.ExtTreeMap", "HAdd.hAdd", "Std.ExtTreeMap.inner", "Nat", "instAddNat", "Std.ExtTreeMap.insertIfNew", "OfNat.ofNat", "Std.ExtDTreeMap.size_insertIfNew_le" ]
true
CategoryTheory.Mon.instHasLimitsOfShape
Mathlib.CategoryTheory.Monoidal.Internal.Limits
[ "CategoryTheory.Limits.HasLimitsOfShape", "CategoryTheory.MonoidalCategory", "CategoryTheory.Mon.forget", "CategoryTheory.Mon", "CategoryTheory.Mon.instCategory", "CategoryTheory.Mon.instCreatesLimitsOfShapeForget", "CategoryTheory.hasLimitsOfShape_of_hasLimitsOfShape_createsLimitsOfShape", "CategoryT...
true
AddMonoidHom.inl._proof_1
Mathlib.Algebra.Group.Prod
[ "AddZeroClass.toAddZero", "Prod.mk", "AddZero.toZero", "AddZeroClass", "Zero.toOfNat0", "Prod", "OfNat.ofNat", "Eq", "rfl" ]
false
Stream'.map_eq
Mathlib.Data.Stream.Init
[ "Eq.mpr", "congrArg", "id", "Stream'", "Stream'.tail_map", "Stream'.map", "Eq.refl", "Stream'.head_map", "Stream'.eta", "Stream'.cons", "Stream'.tail", "Eq.symm", "Eq", "Stream'.head" ]
true
_private.Mathlib.RingTheory.WittVector.Truncated.0._aux_Mathlib_RingTheory_WittVector_Truncated___macroRules__private_Mathlib_RingTheory_WittVector_Truncated_0_term𝕎_1
Mathlib.RingTheory.WittVector.Truncated
[ "Pure.pure", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Name.mkNum", "Lean.Syntax.ident", "instMonadExceptOfMonadExceptOf", "String", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.TSyntax.mk", "Lean.Syntax", "Lean.Name.mkStr...
false
Lean.Language.ToSnapshotTree.mk
Lean.Language.Basic
[ "Lean.Language.ToSnapshotTree.mk", "Lean.Language.ToSnapshotTree", "Lean.Language.SnapshotTree" ]
true
SSet.Subcomplex.PairingCore.IsInner.mk
Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.PairingCore
[ "SSet.Subcomplex.PairingCore.ι", "SSet.Subcomplex.PairingCore", "Ne", "instOfNatNat", "SSet", "instHAdd", "HAdd.hAdd", "SimplexCategory.mk", "SSet.Subcomplex.PairingCore.IsInner.mk", "Nat", "Fin.last", "SSet.Subcomplex.PairingCore.dim", "instAddNat", "SSet.Subcomplex", "SSet.Subcomplex.P...
true
intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_le'
Mathlib.MeasureTheory.Integral.IntervalIntegral.FundThmCalculus
[ "MeasureTheory.ae", "Set.Ioc", "InnerProductSpace.toNormedSpace", "Real.instLE", "Real", "instHSMul", "MeasureTheory.Measure", "Preorder.toLT", "CompleteSpace", "NormedSpace", "Real.instZero", "Real.instRCLike", "congrArg", "DistribMulAction.toDistribSMul", "sub_zero", "AddCommGroup.to...
true
NonUnitalSubsemiring.map._proof_2
Mathlib.RingTheory.NonUnitalSubsemiring.Basic
[ "AddMonoidHomClass.toAddMonoidHom", "AddMonoid.toAddZeroClass", "AddSubsemigroup.carrier", "Membership.mem", "AddZeroClass.toAddZero", "AddSubmonoid.toAddSubsemigroup", "NonUnitalNonAssocSemiring.toAddCommMonoid", "AddZero.toZero", "NonUnitalSubsemiring.toAddSubmonoid", "AddSubmonoid.map", "AddS...
false
CategoryTheory.Presieve.extend_agrees
Mathlib.CategoryTheory.Sites.IsSheafFor
[ "Eq.mpr", "CategoryTheory.Functor", "Exists.choose_spec", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Presieve", "congrArg", "CategoryTheory.ConcreteCategory.hom", "Quiver.Hom.op", "TypeCat.instFunLikeFun", "Exists", "CategoryTheory.CategoryStruct.id",...
true
Lean.Parser.Command.opaque
Lean.Parser.Command
[ "_private.Lean.Parser.Command.0.Lean.Parser.Command.skipUntilWsOrDelim", "Lean.Parser.Parser", "Lean.Parser.Command.declId", "HAndThen.hAndThen", "Lean.Parser.leadingNode", "Lean.Parser.recover", "Lean.Parser.optional", "instHAndThenOfAndThen", "Lean.Parser.Command.declSig", "instOfNatNat", "Lea...
true
_private.Lean.Meta.Tactic.Grind.Arith.Cutsat.Proof.0.Lean.Meta.Grind.Arith.Cutsat.mkMulEqProof.go._sparseCasesOn_4
Lean.Meta.Tactic.Grind.Arith.Cutsat.Proof
[ "Nat.ne_of_beq_eq_false", "Nat.shiftRight", "_private.Lean.Meta.Tactic.Grind.Arith.Cutsat.Proof.0.Lean.Meta.Grind.Arith.Cutsat.MulEqProof.rec", "Lean.Expr", "_private.Lean.Meta.Tactic.Grind.Arith.Cutsat.Proof.0.Lean.Meta.Grind.Arith.Cutsat.MulEqProof.ctorIdx", "Nat.hasNotBit", "instOfNatNat", "Int", ...
false
_private.Batteries.CodeAction.Misc.0.Batteries.CodeAction.instanceStub.match_7
Batteries.CodeAction.Misc
[ "Lean.Expr.const", "Lean.Expr", "Nat.hasNotBit", "Lean.Level", "List", "Lean.Name", "_private.Batteries.CodeAction.Misc.0.Batteries.CodeAction.instanceStub._sparseCasesOn_7", "Lean.Expr.ctorIdx" ]
false
Aesop.RuleResult.proved.noConfusion
Aesop.Search.Expansion
[ "Aesop.RappRef", "id", "Array", "Aesop.RuleResult.noConfusion", "Aesop.RuleResult", "Eq", "Aesop.RuleResult.proved" ]
false
Lean.Meta.Ext.isExtTheorem
Lean.Meta.Tactic.Ext
[ "Pure.pure", "Lean.ScopedEnvExtension.StateStack", "Lean.Meta.Ext.ExtTheorems.contains", "Lean.PersistentEnvExtensionState", "Lean.Meta.Ext.extExtension", "Lean.Core.instMonadEnvCoreM", "Lean.ScopedEnvExtension.Entry", "Lean.Meta.Ext.ExtTheorems", "IO.RealWorld", "EIO", "instMonadEIO", "Lean.M...
true
_private.Batteries.Data.RBMap.WF.0.Batteries.RBNode.balance2.match_1.eq_3
Batteries.Data.RBMap.WF
[ "Batteries.RBNode", "Eq.mpr", "_private.Batteries.Data.RBMap.WF.0.Batteries.RBNode.balance2.match_1.splitter._sparseCasesOn_3", "False", "Nat.ne_of_beq_eq_false", "congrArg", "False.elim", "Nat.shiftRight", "id", "Nat.hasNotBit", "Batteries.RBNode.nil", "instOfNatNat", "_private.Batteries.Da...
true
MeasureTheory.Measure.setIntegral_toReal_rnDeriv_eq_withDensity
Mathlib.MeasureTheory.Measure.Decomposition.RadonNikodym
[ "Eq.mpr", "MeasureTheory.Measure.withDensity", "Real", "MeasureTheory.Measure", "Preorder.toLT", "Measurable.aemeasurable", "congrArg", "true_or", "MeasureTheory.SigmaFinite", "PartialOrder.toPreorder", "MeasureTheory.Measure.real", "MeasureTheory.Measure.rnDeriv", "MeasureTheory.Measure.rnD...
true
_private.Lean.Compiler.IR.Basic.0.Lean.IR.Alt.setBody.match_1
Lean.Compiler.IR.Basic
[ "Lean.IR.CtorInfo", "Lean.IR.Alt.casesOn", "Lean.IR.FnBody", "Lean.IR.Alt.ctor", "Lean.IR.Alt.default", "Lean.IR.Alt" ]
false
ZeroMemClass.coe_eq_zero._simp_1
Mathlib.Algebra.Group.Submonoid.Defs
[ "ZeroMemClass.coe_eq_zero", "SetLike", "Membership.mem", "Subtype", "ZeroMemClass.zero", "ZeroMemClass", "propext", "Zero.toOfNat0", "OfNat.ofNat", "Subtype.val", "Eq", "SetLike.instMembership", "Zero" ]
false
Lean.Try.Config.harder._default
Init.Try
[ "id", "Bool", "Bool.false" ]
false
Subsemigroup.comap_comap
Mathlib.Algebra.Group.Subsemigroup.Operations
[ "MulHom", "Subsemigroup.comap", "Mul", "MulHom.comp", "Subsemigroup", "Eq", "rfl" ]
true
_private.Mathlib.MeasureTheory.Integral.IntervalIntegral.DistLEIntegral.0.norm_sub_le_integral_of_norm_deriv_le_of_le._simp_1_1
Mathlib.MeasureTheory.Integral.IntervalIntegral.DistLEIntegral
[ "Norm.norm", "Real", "SeminormedAddCommGroup", "dist_eq_norm_sub", "HSub.hSub", "AddCommGroup.toAddGroup", "SubNegMonoid.toSub", "SeminormedAddCommGroup.toNorm", "instHSub", "SeminormedAddCommGroup.toPseudoMetricSpace", "AddGroup.toSubNegMonoid", "SeminormedAddCommGroup.toAddCommGroup", "Dis...
false
Std.TreeSet.ofList_singleton
Std.Data.TreeSet.Lemmas
[ "Std.TreeSet", "Std.TreeSet.ofList", "Ordering", "Std.TreeSet.insert", "List.cons", "Std.TreeSet.instEmptyCollection", "EmptyCollection.emptyCollection", "Eq", "rfl", "List.nil" ]
true
CategoryTheory.ActionCategory.stabilizerIsoEnd_symm_apply
Mathlib.CategoryTheory.Action
[ "Monoid", "Unit.unit", "MulEquiv.instEquivLike", "Submonoid.mul", "Monoid.toMulOneClass", "CategoryTheory.ActionCategory", "Membership.mem", "Subtype", "CategoryTheory.End.mul", "CategoryTheory.End", "CategoryTheory.SingleObj", "MulAction", "CategoryTheory.types", "MulEquiv", "CategoryTh...
true
CategoryTheory.StructuredArrow.instFaithfulObjCompPost
Mathlib.CategoryTheory.Comma.StructuredArrow.Basic
[ "CategoryTheory.StructuredArrow.homMk", "Eq.mpr", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.StructuredArrow.hom_eq_iff._simp_1", "CategoryTheory.Functor.comp", "Eq.mp", "CategoryTheory.StructuredArrow.hom", "id", "CategoryTheory.Functor.Fai...
true
Lean.Meta.Simp.Diagnostics.mk.noConfusion
Lean.Meta.Tactic.Simp.Types
[ "Lean.Meta.Simp.Diagnostics.mk", "Lean.PHashMap", "Lean.Meta.instHashableOrigin", "Lean.Meta.instBEqOrigin", "Lean.PArray", "id", "Lean.Meta.SimpTheorem", "Lean.Meta.Simp.Diagnostics", "Nat", "Lean.Name", "Lean.Meta.Simp.Diagnostics.noConfusion", "Lean.Meta.Origin", "Eq", "Lean.Name.instBE...
false
PresheafOfModules.wellPowered
Mathlib.Algebra.Category.ModuleCat.Presheaf.Generator
[ "PresheafOfModules.hasFiniteLimits", "CategoryTheory.Functor", "Opposite", "PresheafOfModules.instCategory", "CategoryTheory.SmallCategory", "CategoryTheory.Limits.fintypeWalkingPair", "CategoryTheory.Limits.hasLimitsOfShape_widePullbackShape", "CategoryTheory.Limits.WalkingPair", "Finite.of_fintype...
true
QuaternionAlgebra.mk
Mathlib.Algebra.Quaternion
[ "QuaternionAlgebra.mk", "QuaternionAlgebra" ]
true
Lean.Lsp.CodeActionParams.mk.sizeOf_spec
Lean.Data.Lsp.CodeActions
[ "Lean.Lsp.WorkDoneProgressParams", "Lean.Lsp.CodeActionParams.mk", "Lean.Lsp.CodeActionContext._sizeOf_inst", "Lean.Lsp.PartialResultParams", "Lean.Lsp.CodeActionParams._sizeOf_inst", "instOfNatNat", "Lean.Lsp.PartialResultParams._sizeOf_inst", "Lean.Lsp.TextDocumentIdentifier", "instHAdd", "Lean....
true
_private.Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Instances.0.cfc_complex_eq_real._simp_1_1
Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Instances
[ "Real", "AddMonoid.toAddSemigroup", "Real.instAddMonoid", "CommSemiring.toSemiring", "AddMonoid.toAddZeroClass", "AddMonoid.toZero", "RingHom", "RCLike.conj_eq_iff_re", "NormedField.toField", "AddZeroClass.toAddZero", "RCLike.ofReal", "Field.toSemifield", "Field.toCommRing", "RCLike.toDens...
false
HurwitzZeta.hurwitzEvenFEPair._proof_1
Mathlib.NumberTheory.LSeries.HurwitzZetaEven
[ "Nat.instAtLeastTwoHAddOfNat", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat.instNeZeroSucc", "Nat", "instAddNat", "OfNat.ofNat", "Nat.AtLeastTwo" ]
false
CategoryTheory.Functor.descOfIsLeftKanExtension.congr_simp
Mathlib.CategoryTheory.Functor.KanExtension.Basic
[ "CategoryTheory.Functor.descOfIsLeftKanExtension", "CategoryTheory.Functor", "CategoryTheory.Functor.IsLeftKanExtension", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "Eq.rec", "Eq.ndrec", "Eq.refl", "CategoryTheory.Cat...
true
_private.Mathlib.RingTheory.RingHom.QuasiFinite.0.RingHom.QuasiFinite.ofLocalizationSpanTarget._simp_1_1
Mathlib.RingTheory.RingHom.QuasiFinite
[ "Monoid", "Monoid.toMulOneClass", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "LE.le", "Submonoid.instPartialOrder", "Submonoid.powers", "propext", "Submonoid.instSetLike", "Eq", "SetLike.instMembership", "Submonoid", "Submonoid.powers_le" ]
false
Primrec.nat_bodd
Mathlib.Computability.Primrec.Basic
[ "Preorder.toLT", "BEq.rfl", "Primrec.of_eq", "congrArg", "Primcodable.ofDenumerable", "PartialOrder.toPreorder", "Bool.toNat", "Nat.instTransOrd", "Primrec.beq", "Preorder.toLE", "id", "Nat.instMod", "instHMod", "instOfNatNat", "instLawfulBCmpCompare_mathlib", "Std.LawfulBEqOrd.equivBE...
true
Std.Internal.IO.Async.EAsync.instMonadLiftBaseIO
Std.Internal.Async.Basic
[ "Pure.pure", "Std.Internal.IO.Async.BaseAsync.mk", "Except.ok", "Monad.toApplicative", "Function.comp", "Std.Internal.IO.Async.EAsync", "Applicative.toPure", "Std.Internal.IO.Async.MaybeTask.instMonad", "MonadLift", "instMonadBaseIO", "Std.Internal.IO.Async.MaybeTask", "Applicative.toFunctor",...
true
_private.Mathlib.Analysis.Analytic.Basic.0.AnalyticWithinAt.congr_set._simp_1_1
Mathlib.Analysis.Analytic.Basic
[ "Filter.instMembership", "nhdsWithin", "Membership.mem", "TopologicalSpace", "self_mem_nhdsWithin", "True", "eq_true", "Eq", "Filter", "Set" ]
false
NonUnitalSubsemiring.mem_iInf
Mathlib.RingTheory.NonUnitalSubsemiring.Basic
[ "iInf", "NonUnitalSubsemiring.mem_sInf._simp_1", "congrArg", "_private.Mathlib.RingTheory.NonUnitalSubsemiring.Basic.0.NonUnitalSubsemiring.mem_iInf._simp_1_1", "Membership.mem", "iff_self", "Iff", "True", "NonUnitalSubsemiring.instSetLike", "NonUnitalSubsemiring", "of_eq_true", "NonUnitalSubs...
true
DoubleCentralizer.instModule._proof_1
Mathlib.Analysis.CStarAlgebra.Multiplier
[ "DoubleCentralizer.instAdd._proof_2", "instHSMul", "instSMulOfMul", "NormedSpace", "Ring.toNonAssocRing", "DoubleCentralizer.toProdHom", "DistribMulAction.toDistribSMul", "IsScalarTower", "IsSemitopologicalRing.toIsSemitopologicalSemiring", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "...
false
CategoryTheory.Classifier.pullback_χ_obj_mk_truth
Mathlib.CategoryTheory.Subobject.Classifier.Defs
[ "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Subobject.Classifier.pullback_χ_obj_mk_truth", "CategoryTheory.Subobject.Classifier.χ", "PartialOrder.toPreorder", "CategoryTheory.Subobject.Classifier.Ω", "CategoryTheory.Subobject.Classifier.truth_as_subob...
true
GeneralSchauderBasis.rec
Mathlib.Analysis.Normed.Module.Bases
[ "NormedCommRing.toNormedRing", "NormedCommRing.toSeminormedCommRing", "instHSMul", "Semiring.toModule", "NormedRing.toRing", "NormedSpace", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "ContinuousLinearMap.funLike", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "Summ...
false
PowerBasis.ofAdjoinEqTop_gen
Mathlib.RingTheory.Adjoin.PowerBasis
[ "CommRing", "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "CommSemiring.toSemiring", "PowerBasis.ofAdjoinEqTop", "PartialOrder.toPreorder", "PowerBasis.gen", "Algebra.instCompleteLatticeSubalgebra", "Algebra", "Preorder.toLE", "Algebra.adjoin", "CompleteLattice.toBoundedOrder", "S...
true
MulHom.mk.inj
Mathlib.Algebra.Group.Hom.Defs
[ "MulHom", "HMul.hMul", "MulHom.mk.noConfusion", "Mul", "MulHom.mk", "eq_of_heq", "HEq", "Eq", "instHMul" ]
true
UpperHalfPlane.instIsFiniteMeasureOnCompactsComapComplexCoeVolume
Mathlib.Analysis.Complex.UpperHalfPlane.Measure
[ "instInnerProductSpaceRealComplex", "MeasureTheory.Measure.IsAddHaarMeasure.toIsFiniteMeasureOnCompacts", "NormedCommRing.toSeminormedCommRing", "UpperHalfPlane.instMeasurableSpace", "instIsAddHaarMeasureVolume", "Complex.borelSpace", "measureSpaceOfInnerProductSpace", "Complex.instNormedAddCommGroup"...
true
CategoryTheory.ObjectProperty.extensionProduct_isoClosure_left
Mathlib.CategoryTheory.Triangulated.Subcategory
[ "CategoryTheory.Category.assoc", "CategoryTheory.ObjectProperty.le_isoClosure", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.Additive", "CategoryTheory.Pretriangulated.Triangle.obj₁", "CategoryTheory.Pretriangulated.Triangle.obj₃", "_private.Mathlib.Cat...
true
MeasureTheory.AEStronglyMeasurable.pow
Mathlib.MeasureTheory.Function.StronglyMeasurable.AEStronglyMeasurable
[ "MeasureTheory.ae", "Monoid", "MeasureTheory.Measure", "Monoid.toMulOneClass", "Filter.EventuallyEq", "MulOne.toMul", "Pi.instPow", "Filter.EventuallyEq.pow_const", "MeasureTheory.AEStronglyMeasurable.stronglyMeasurable_mk", "MeasureTheory.AEStronglyMeasurable.ae_eq_mk", "Monoid.toPow", "Measu...
true
_private.Mathlib.Algebra.Group.Int.Even.0.Int.even_iff._simp_1_3
Mathlib.Algebra.Group.Int.Even
[ "HMul.hMul", "Int", "Int.instMul", "instHAdd", "instOfNat", "HAdd.hAdd", "Int.instAdd", "Int.two_mul", "OfNat.ofNat", "Eq.symm", "Eq", "instHMul" ]
false
ProbabilityTheory.setIntegral_compProd_univ_left
Mathlib.Probability.Kernel.Composition.IntegralCompProd
[ "Set.instSProd", "Eq.mpr", "Real", "MeasureTheory.Measure", "MeasurableSet", "NormedSpace", "SProd.sprod", "congrArg", "Set.univ", "PseudoMetricSpace.toUniformSpace", "ProbabilityTheory.IsSFiniteKernel", "MeasureTheory.Measure.restrict", "ProbabilityTheory.Kernel.instFunLike", "SeminormedA...
true
Lean.Server.Test.Runner.Client.instToJsonStrictOrLazy
Lean.Server.Test.Runner
[ "Lean.Server.Test.Runner.Client.StrictOrLazy", "Lean.ToJson.mk", "Lean.ToJson", "Lean.Server.Test.Runner.Client.instToJsonStrictOrLazy.toJson" ]
true
DFinsupp.le_iff'
Mathlib.Data.DFinsupp.Order
[ "zero_le", "instIsBotZeroClass", "DFinsupp.notMem_support_iff", "Finset", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "Decidable", "Preorder.toLE", "Membership.mem", "Eq.rec", "AddZeroClass.toAddZero", "PartialOrder", "DFinsupp.instDFunLike", "HasSubset.Subset", "Ne", "DFins...
true
DirectSum.coeAlgHom._proof_2
Mathlib.Algebra.DirectSum.Internal
[ "Submodule", "Submodule.addSubmonoidClass", "AddMonoid.toAddSemigroup", "CommSemiring.toSemiring", "Submodule.addCommMonoid", "DirectSum.GSemiring.toGNonUnitalNonAssocSemiring", "LinearMap.instFunLike", "Algebra", "Membership.mem", "Algebra.toModule", "GradedMonoid.GMul.mul", "Subtype", "Sub...
false
_private.Mathlib.GroupTheory.CosetCover.0.Subgroup.leftCoset_cover_filter_FiniteIndex_aux.match_1_3
Mathlib.GroupTheory.CosetCover
[ "Subgroup.FiniteIndex", "Finset", "Group", "Membership.mem", "Subtype", "Subgroup", "Exists.casesOn", "Finset.instSetLike", "Exists.intro", "Finset.Nonempty", "SetLike.instMembership", "Subgroup.instSetLike" ]
false
Matrix.BlockTriangular.det_fintype
Mathlib.LinearAlgebra.Matrix.Block
[ "Iff.mpr", "Finset.mem_univ", "CommRing", "Preorder.toLT", "Finset.univ", "Finset.mem_image", "CommSemiring.toSemiring", "Matrix", "Finset", "LinearOrder", "PartialOrder.toPreorder", "Membership.mem", "Exists", "Subtype.fintype", "SemilatticeInf.toPartialOrder", "DistribLattice.toLatti...
true
SaturatedAddSubmonoid.sSup_def
Mathlib.Algebra.Group.Submonoid.Saturation
[ "SaturatedAddSubmonoid.toAddSubmonoid", "AddSubmonoid.instCompleteLattice", "CompleteLattice.toConditionallyCompleteLattice", "AddSubmonoid.saturation", "AddSubmonoid", "AddZeroClass", "SaturatedAddSubmonoid.instCompleteLattice", "Set.image", "ConditionallyCompleteLattice.toConditionallyCompletePart...
true
CategoryTheory.CategoryOfElements.map._proof_3
Mathlib.CategoryTheory.Elements
[ "CategoryTheory.categoryOfElements", "CategoryTheory.Functor.Elements", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "CategoryTheory.Functor.category", "TypeCat.instFunLikeFun", "id", "Sigma.fst", "CategoryTheory.Functor...
false
Subgroup.map
Mathlib.Algebra.Group.Subgroup.Map
[ "Subgroup.map._proof_2", "MonoidHom.instFunLike", "MonoidHom", "Monoid.toMulOneClass", "Subsemigroup.mk", "Subgroup.map._proof_3", "Group", "Subgroup.mk", "MulOne.toMul", "DivInvMonoid.toMonoid", "Subgroup", "Submonoid.map", "Group.toDivInvMonoid", "MulOneClass.toMulOne", "SetLike.coe", ...
true
FractionalIdeal.mem_coeIdeal_of_mem
Mathlib.RingTheory.FractionalIdeal.Basic
[ "Iff.mpr", "CommRing", "Semiring.toModule", "Algebra.algebraMap", "CommSemiring.toSemiring", "Algebra", "RingHom", "Membership.mem", "Exists", "FractionalIdeal.mem_coeIdeal", "Ideal", "MulZeroOneClass.toMulOneClass", "FractionalIdeal.instSetLike", "instMulZeroOneClassOfSemiring", "NonUni...
true
Module.annihilator_finsupp
Mathlib.RingTheory.Ideal.Maps
[ "Finsupp.instFunLike", "Eq.mpr", "instHSMul", "Semiring.toModule", "Module.annihilator", "Finsupp.single_eq_same", "Finsupp.module", "Finsupp.ext", "congrArg", "DistribMulAction.toDistribSMul", "Nonempty.elim", "AddMonoid.toAddZeroClass", "Membership.mem", "AddZeroClass.toAddZero", "Eq.m...
true
Int.mul_neg_of_pos_of_neg
Init.Data.Int.Order
[ "HMul.hMul", "congrArg", "Eq.mp", "Int", "Int.instMul", "Int.instLTInt", "instOfNat", "Int.mul_zero", "LT.lt", "Int.mul_lt_mul_of_pos_left", "OfNat.ofNat", "instHMul" ]
true
CategoryTheory.Limits.Multifork.toPiFork_π_app_one
Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer
[ "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.Limits.MulticospanShape.L", "CategoryTheory.Limits.MulticospanIndex.sndPiMapOfIsLimit", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.Functor.category", "C...
true
CategoryTheory.yonedaMon_naturality
Mathlib.CategoryTheory.Monoidal.Cartesian.Mon
[ "CategoryTheory.Functor", "MonoidHom.instFunLike", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "MonoidHom", "Quiver.Hom", "Monoid.toMulOneClass", "congrArg", "CategoryTheory.ConcreteCategory.hom", "Quiver.Hom.op", "CategoryTheory.Functor.category", "id", "MonCat", "CategoryTheory...
true
CircularPreorder.mk._flat_ctor
Mathlib.Order.Circular
[ "CircularPreorder", "autoParam", "And", "Iff", "SBtw.mk", "Not", "Btw.mk", "CircularPreorder.mk", "CircularPreorder.sbtw_iff_btw_not_btw._autoParam" ]
false
CategoryTheory.Limits.preservesFiniteColimits_leftOp
Mathlib.CategoryTheory.Limits.Preserves.Opposites
[ "CategoryTheory.Functor", "CategoryTheory.finCategoryOpposite", "CategoryTheory.Limits.PreservesFiniteLimits", "Opposite", "CategoryTheory.Limits.PreservesFiniteColimits.mk", "CategoryTheory.Limits.PreservesFiniteLimits.preservesFiniteLimits", "CategoryTheory.SmallCategory", "CategoryTheory.Limits.Pre...
true
fintypeToFinBoolAlgOp._proof_7
Mathlib.Order.Category.FinBoolAlg
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "Finite", "FintypeCat", "PartialOrder.toPreorder", "TypeCat.instFunLikeFun", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "BooleanAlgebra.toBoundedOrder", "CategoryTheory.ObjectProperty.FullSubcat...
false
_private.Lean.Meta.Tactic.Split.0.Lean.Meta.Split.generalizeMatchDiscrs.mkNewTarget
Lean.Meta.Tactic.Split
[ "Inhabited.default", "Lean.Expr", "Lean.Meta.MetaM", "Lean.Meta.Match.MatcherInfo", "Array", "Lean.Meta.instInhabitedMetaM", "Nat", "Bool", "Lean.Name", "IO.Ref" ]
true
_private.Mathlib.Combinatorics.SimpleGraph.Paths.0.SimpleGraph.Walk.isPath_iff_isSubwalk_imp_nil._proof_1_1
Mathlib.Combinatorics.SimpleGraph.Paths
[ "Lean.Grind.Nat.lt_eq", "SimpleGraph.Walk.support", "SimpleGraph.Walk", "instOfNatNat", "LE.le", "instLENat", "SimpleGraph", "instHAdd", "HAdd.hAdd", "Nat", "LT.lt", "Eq.substr", "instAddNat", "instLTNat", "OfNat.ofNat", "List.length" ]
false
Std.DTreeMap.Const.get?_ofList_of_mem
Std.Data.DTreeMap.Lemmas
[ "List.Pairwise", "Ord.mk", "Option.some", "Membership.mem", "Ordering", "Std.DTreeMap.Const.ofList", "Ordering.eq", "Std.DTreeMap.Const.get?", "Prod.mk", "Std.TransCmp", "Prod.fst", "List", "List.instMembership", "Std.DTreeMap.Internal.Impl.Const.get?_insertMany_empty_list_of_mem", "Prod...
true
_private.Init.Grind.Module.Envelope.0.Lean.Grind.IntModule.OfNatModule.r.match_1.splitter
Init.Grind.Module.Envelope
[ "_private.Init.Grind.Module.Envelope.0.Lean.Grind.IntModule.OfNatModule.r.match_1", "Prod.mk", "Prod" ]
true
WittVector.inverseCoeff.congr_simp
Mathlib.RingTheory.WittVector.DiscreteValuationRing
[ "CommRing", "Nat.Prime", "CommSemiring.toSemiring", "AddGroupWithOne.toAddMonoidWithOne", "Units", "Fact", "Eq.rec", "CommRing.toCommSemiring", "WittVector", "Nat", "Semiring.toMonoid", "Eq.refl", "CharP", "WittVector.inverseCoeff", "CommRing.toRing", "Eq", "Ring.toAddGroupWithOne" ]
true
Stream'.Seq.get?_cons_succ
Mathlib.Data.Seq.Defs
[ "Stream'.Seq", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "Stream'.Seq.cons", "instAddNat", "OfNat.ofNat", "Eq", "rfl", "Stream'.Seq.get?", "Option" ]
true
multilinearCurryLeftEquiv_symm_apply
Mathlib.LinearAlgebra.Multilinear.Curry
[ "LinearEquiv.symm", "LinearMap.uncurryLeft", "Fin.succ", "CommSemiring.toSemiring", "MultilinearMap.addCommMonoid", "multilinearCurryLeftEquiv", "Fin.instOfNat", "LinearMap.module", "LinearMap", "MultilinearMap", "smulCommClass_self", "AddCommMonoid", "MultilinearMap.instAddMonoid", "CommS...
true
_private.Mathlib.MeasureTheory.OuterMeasure.AE.0.MeasureTheory.union_ae_eq_right._simp_1_1
Mathlib.MeasureTheory.OuterMeasure.AE
[ "PartialOrder.toPreorder", "Preorder.toLE", "Filter.eventuallyLE_antisymm_iff", "PartialOrder", "Filter.EventuallyEq", "And", "propext", "Filter.EventuallyLE", "Eq", "Filter" ]
false
Std.DTreeMap.Internal.Impl.toArray_filterMap!
Std.Data.DTreeMap.Internal.Lemmas
[ "Std.DTreeMap.Internal.Impl.filterMap_eq_filterMap!", "Ord", "congrArg", "Eq.mp", "Sigma.fst", "instOfNatNat", "Std.DTreeMap.Internal.Impl.WF", "Std.DTreeMap.Internal.Impl.WF.balanced", "Array", "Option.map", "Array.filterMap", "Nat", "congrFun'", "Std.DTreeMap.Internal.Impl.toArray_filter...
true
CategoryTheory.WithInitial.ofCommaObject._proof_1
Mathlib.CategoryTheory.WithTerminal.Basic
[ "CategoryTheory.Functor", "CategoryTheory.Comma.right", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Comma.left", "CategoryTheory.Functor.id", "Eq.mp", "CategoryTheory.Comma.hom", "id", "CategoryTheory.Comma", "Categor...
false
CategoryTheory.Limits.asEmptyCone._proof_3
Mathlib.CategoryTheory.Limits.Shapes.IsTerminal
[ "Eq.mpr", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "False.elim", "Aesop.BuiltinRules.pEmpty_false", "CategoryTheory.Functor.category", "id", "PEmpty", "CategoryTheory.Functor.map", "CategoryTheory.Discrete.mk", "CategoryTheory.Discrete.as"...
false
lowerClosure_mul_distrib
Mathlib.Algebra.Order.UpperLower
[ "Eq.mpr", "HMul.hMul", "IsOrderedMonoid", "Monoid.toMulOneClass", "congrArg", "Preorder.toLE", "id", "MulOne.toMul", "DivInvMonoid.toMonoid", "CommGroup", "SetLike.coe_injective", "Group.toDivInvMonoid", "MulOneClass.toMulOne", "SetLike.coe", "Eq.refl", "lowerClosure_mul", "CommGroup...
true
CategoryTheory.Oplax.StrongTrans.Modification.equivOplax_apply
Mathlib.CategoryTheory.Bicategory.Modification.Oplax
[ "CategoryTheory.Oplax.StrongTrans.Modification.equivOplax", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Equiv", "CategoryTheory.Bicategory", "CategoryTheory.Oplax.StrongTrans.Modification.mkOfOplax", "CategoryTheory.OplaxFunctor", "CategoryTheory.Oplax.StrongTrans...
true
Std.Internal.List.getValueD_insertListConst_of_contains_eq_false
Std.Data.Internal.List.Associative
[ "Std.Internal.List.getValue?_insertListConst_of_contains_eq_false", "Eq.mpr", "congrArg", "Std.Internal.List.insertListConst", "List.map", "List.contains", "Option.getD", "id", "Prod.fst", "List", "Std.Internal.List.getValue?", "congr", "PartialEquivBEq", "Bool", "Eq.refl", "Std.Intern...
true
«term∃_,_»
Init.NotationExtra
[ "Lean.explicitBinders", "instOfNatNat", "Lean.ParserDescr.binary", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "Lean.ParserDescr.symbol", "Lean.ParserDescr.cat", "OfNat.ofNat", "Lean.Name.mkStr1" ]
true
TopCat.Presheaf.pullbackObjObjOfImageOpen
Mathlib.Topology.Sheaves.Presheaf
[ "CategoryTheory.Functor.op", "CategoryTheory.Limits.IsLimit.mk", "CategoryTheory.Limits.Cone", "Opposite", "CategoryTheory.Functor.LeftExtension.mk", "CategoryTheory.Functor.leftKanExtension", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "TopCat.Presheaf.pullback", "TopCat.Presheaf.pull...
true
Antitone.add_const
Mathlib.Algebra.Order.Monoid.Unbundled.Basic
[ "Preorder.toLE", "AddRightMono", "instHAdd", "Antitone", "HAdd.hAdd", "add_left_mono", "Monotone.comp_antitone", "Add", "Preorder" ]
true
CategoryTheory.Mon.instIsCommMonObj
Mathlib.CategoryTheory.Monoidal.Cartesian.Mon
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.CartesianMonoidalCategory.toSymmetricCategory", "congrArg", "CategoryTheory.Mon.Hom.hom", "CategoryTheory.IsCommMonObj.mk", "CategoryTheory.Mon.monMonoidal", "CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory", "Ca...
true
Ideal.map_ofList
Mathlib.RingTheory.Regular.RegularSequence
[ "Set.ext", "RingHom.instRingHomClass", "congrArg", "List.map", "setOf", "RingHom", "Membership.mem", "Exists", "Ideal.map_span", "Ideal.map", "Ideal", "List", "And", "RingHom.instFunLike", "List.instMembership", "Ideal.ofList", "Semiring", "Set.image", "Ideal.span", "List.mem_m...
true
Lean.Server.FileWorker.EditableDocumentCore.initSnap
Lean.Server.FileWorker.Utils
[ "Lean.Server.FileWorker.EditableDocumentCore", "Lean.Language.Lean.InitialSnapshot" ]
true
CategoryTheory.IsCardinalFiltered.max._proof_1
Mathlib.CategoryTheory.Presentable.IsCardinalFiltered
[ "Eq.mpr", "HasCardinalLT", "Cardinal", "id", "CategoryTheory.discreteCategory", "CategoryTheory.Arrow", "CategoryTheory.hasCardinalLT_arrow_discrete_iff._simp_1", "Eq", "CategoryTheory.Discrete" ]
false
_private.Init.Data.String.Iterator.0.String.Pos.Raw.get?.match_1.eq_1
Init.Data.String.Iterator
[ "String", "String.Pos.Raw", "String.Pos.Raw.get?.match_1", "Eq.refl", "Eq" ]
true
Flag.instMulActionOrderIso
Mathlib.Algebra.Order.Group.Action.Flag
[ "Flag.instMulActionOrderIso._proof_1", "Function.Injective.mulAction", "Preorder.toLE", "OrderIso", "DivInvMonoid.toMonoid", "LE.le", "Flag.instSetLike", "Flag.instSMulOrderIso", "Group.toDivInvMonoid", "Flag", "SetLike.coe", "RelIso.applyMulAction", "MulAction", "Set.mulActionSet", "Rel...
true
ContDiff.differentiable_deriv_two
Mathlib.Analysis.Calculus.ContDiff.Deriv
[ "Differentiable", "NormedCommRing.toNormedRing", "NormedCommRing.toSeminormedCommRing", "Prod.normedSpace", "Semiring.toModule", "NormedRing.toRing", "instAddMonoidWithOneENat", "contDiff_id", "Prod.normedAddCommGroup", "NormedSpace", "ENat.instNatCast", "deriv", "NormedSpace.toModule", "N...
true
List.lookmap_id'
Mathlib.Data.List.Lookmap
[ "Eq.mpr", "congrArg", "Option.instMembership", "List.map_id", "List.map", "Membership.mem", "List.lookmap", "id", "List", "List.lookmap_map_eq", "Eq.refl", "Eq.symm", "Eq", "Option" ]
true
PosNum.testBit.eq_def
Mathlib.Data.Num.Lemmas
[ "Eq.mpr", "False", "congrArg", "PosNum.bit1", "PosNum.rec", "id", "PosNum.below", "instOfNatNat", "_private.Mathlib.Data.Num.Lemmas.0.PosNum.testBit.match_1.splitter", "PosNum.brecOn.eq", "_private.Mathlib.Data.Num.Lemmas.0.PosNum.testBit.match_1.eq_2", "Bool.true", "PosNum.bit0", "Unit", ...
true
WeierstrassCurve.HasGoodReduction.not_hasAdditiveReduction
Mathlib.AlgebraicGeometry.EllipticCurve.Reduction
[ "WeierstrassCurve.Δ", "Int.instAddCommMonoid", "IsDomain", "Multiplicative.linearOrder", "Int.instIsStrictOrderedRing", "CommRing", "WeierstrassCurve.HasAdditiveReduction.badReduction", "CommSemiring.toSemiring", "Int.instLinearOrder", "IsFractionRing", "IsDiscreteValuationRing", "IsPrincipalI...
true
_private.Mathlib.Algebra.Divisibility.Prod.0.pi_dvd_iff._simp_1_1
Mathlib.Algebra.Divisibility.Prod
[ "Semigroup", "Semigroup.toMul", "Dvd.dvd", "HMul.hMul", "dvd_def", "semigroupDvd", "Exists", "propext", "Eq", "instHMul" ]
false
CategoryTheory.Limits.BinaryBicone.inrCokernelCofork
Mathlib.CategoryTheory.Limits.Shapes.BinaryBiproducts
[ "CategoryTheory.Limits.BinaryBicone.fst", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Limits.CokernelCofork", "CategoryTheory.Limits.BinaryBicone.pt", "CategoryTheory.Limits.BinaryBicone.inr", "CategoryTheory.Limits.BinaryBicone", "CategoryTheory.Limits.BinaryBicone.inr_fst", "CategoryTh...
true