name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
Stream'.Seq.corec_cons
Mathlib.Data.Seq.Defs
[ "Stream'.Seq", "congrArg", "Stream'.Seq.destruct_eq_cons", "Option.some", "Stream'.Seq.omap.match_1", "Prod.mk", "Stream'.Seq.omap", "Option.none", "Unit", "Stream'.Seq.corec_eq", "Stream'.Seq.cons", "True", "eq_self", "Stream'.Seq.corec", "of_eq_true", "Stream'.Seq1", "congrFun'", ...
true
NonUnitalStarAlgebra.gc
Mathlib.Algebra.Star.NonUnitalSubalgebra
[ "Eq.mpr", "Set.star", "NonUnitalStarAlgebra.adjoin", "NonUnitalSubalgebra", "instSMulOfMul", "ChainCompletePartialOrder.instOfCompleteLattice", "star_star", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsScalarTower", "AddMonoid.toAddZeroClass", "NonUnitalStarAlg...
true
AlgebraicGeometry.Scheme.Modules.instAdditivePushforward
Mathlib.AlgebraicGeometry.Modules.Sheaf
[ "CategoryTheory.Abelian.toPreadditive", "AlgebraicGeometry.Scheme.Modules.pushforward", "AlgebraicGeometry.Scheme", "AlgebraicGeometry.Scheme.Modules.instCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.PreservesLimitsOfShape.preservesLimit", "CategoryTheory.Fu...
true
CategoryTheory.MonoidalCategory.tensorMonoidal._proof_6
Mathlib.CategoryTheory.Monoidal.Braided.Basic
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.MonoidalCategory", "CategoryTheory.MonoidalCategory.tensor", "CategoryTheory.CategoryStruct.id", "CategoryTheory.MonoidalCategory.tensorμ", "CategoryTheory.MonoidalCategory.tensorδ", "Prod.fst", "CategoryTheory.Bra...
false
IsBaseChange.of_comp
Mathlib.RingTheory.IsTensorProduct
[ "Eq.mpr", "LinearMap.restrictScalars", "instHSMul", "IsBaseChange.of_lift_unique", "Algebra.algebraMap", "IsBaseChange.lift", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "HEq.refl", "IsScalarTower", "AddMonoid.toAddZeroClass", "LinearMap.comp_assoc", "Algebra",...
true
Lean.Server.DirectImports.mk.injEq
Lean.Server.References
[ "Eq.propIntro", "Lean.Server.DirectImports.mk", "Lean.injEq_helper", "Lean.Server.ModuleImport", "Lean.Server.DirectImports.mk.inj", "Array", "And", "Lean.Server.ModuleImportIndex", "Eq.ndrec", "Lean.Server.DirectImports", "Eq.refl", "Eq" ]
true
_private.Mathlib.CategoryTheory.Triangulated.Opposite.Pretriangulated.0.CategoryTheory.Pretriangulated.Opposite.distinguished_cocone_triangle._simp_1_1
Mathlib.CategoryTheory.Triangulated.Opposite.Pretriangulated
[ "CategoryTheory.Pretriangulated.Opposite.mem_distinguishedTriangles_iff", "Opposite", "CategoryTheory.Functor.Additive", "CategoryTheory.shiftFunctor", "Membership.mem", "Int", "Int.instAddMonoid", "CategoryTheory.Pretriangulated.Triangle", "CategoryTheory.Pretriangulated.Opposite.instHasShiftOpposi...
false
_private.Mathlib.CategoryTheory.Limits.Shapes.Reflexive.0._auto_141
Mathlib.CategoryTheory.Limits.Shapes.Reflexive
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.Name.mkStr2", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
Aesop.ExtResult.mk.injEq
Aesop.Util.Tactic.Ext
[ "Eq.propIntro", "Lean.injEq_helper", "Lean.MVarId", "Lean.FVarId", "Aesop.ExtResult.mk", "Array", "Aesop.ExtResult", "And", "Nat", "Eq.ndrec", "Aesop.ExtResult.mk.inj", "Eq.refl", "Prod", "Eq" ]
true
OrderIso.isAtomic_iff
Mathlib.Order.Atoms
[ "_private.Mathlib.Order.Atoms.0.OrderIso.isAtomic_iff._simp_1_1", "Function.Surjective.forall", "RelIso.eq_iff_eq", "congrArg", "Function.Surjective.exists", "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "OrderBot", "Exists", "PartialOrder", "OrderIso.isAtom_iff", "OrderIso",...
true
CategoryTheory.WithInitial.incl._proof_1
Mathlib.CategoryTheory.WithTerminal.Basic
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.WithInitial.of", "CategoryTheory.CategoryStruct.id", "id", "CategoryTheory.WithInitial", "Eq.refl", "CategoryTheory.Category.toCategoryStruct", "Eq", "CategoryTheory.WithInitial.instCategory", "CategoryTheory.Category" ]
false
Std.ExtHashSet.get?
Std.Data.ExtHashSet.Basic
[ "Std.ExtHashSet", "LawfulHashable", "Unit", "EquivBEq", "Std.ExtHashSet.inner", "Hashable", "Std.ExtHashMap.getKey?", "BEq", "Option" ]
true
Lean.IR.Alt._sizeOf_3_eq
Lean.Compiler.IR.Basic
[ "congrArg", "Lean.IR.Alt._sizeOf_3", "Lean.IR.Alt._sizeOf_4", "Array.rec", "instOfNatNat", "Array.mk.sizeOf_spec", "Array._sizeOf_inst", "Array", "Lean.IR.Alt._sizeOf_inst", "List", "instHAdd", "HAdd.hAdd", "Nat", "List._sizeOf_inst", "SizeOf.sizeOf", "instAddNat", "Array.mk", "OfN...
false
ContinuousWithinAt.cfcₙ._auto_3
Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Continuity
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
Std.Internal.Parsec.Error
Std.Internal.Parsec.Basic
[ "Std.Internal.Parsec.Error.other", "Std.Internal.Parsec.Error.eof" ]
true
Manifold.LiftSourceTargetPropertyAt.localPresentationAt
Mathlib.Geometry.Manifold.LocalSourceTargetProperty
[ "NormedSpace", "Classical.choice", "Manifold.LiftSourceTargetPropertyAt", "TopologicalSpace", "ModelWithCorners", "Manifold.LocalPresentationAt", "ENat", "NontriviallyNormedField", "NontriviallyNormedField.toNormedField", "NormedAddCommGroup.toSeminormedAddCommGroup", "OpenPartialHomeomorph", ...
true
Filter.HasBasis.specializes_iff
Mathlib.Topology.Inseparable
[ "Pure.pure", "Specializes", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "nhds", "LE.le", "Filter.HasBasis.ge_iff", "TopologicalSpace", "Filter.instPure", "Filter.HasBasis", "Iff", "Iff.trans", "specializes_iff_pure", "Set.instMembership", "Filter", "Filter.instParti...
true
Aesop.CompleteMatch.mk
Aesop.Forward.Match.Types
[ "Aesop.CompleteMatch.mk", "Aesop.Match", "Array", "Aesop.CompleteMatch" ]
true
Std.TreeMap.getElem!_ofList_of_contains_eq_false
Std.Data.TreeMap.Lemmas
[ "Inhabited.default", "List.map", "List.contains", "Membership.mem", "Ordering", "Std.TransCmp", "Prod.fst", "List", "Std.TreeMap.instMembership", "Std.LawfulBEqCmp", "Std.TreeMap.instGetElem?Mem", "Bool", "Std.TreeMap.ofList", "Inhabited", "Std.DTreeMap.Const.get!_ofList_of_contains_eq_f...
true
Std.Http.RequestTarget.authorityForm.elim
Std.Internal.Http.Data.URI.Basic
[ "PULift.up", "Std.Http.RequestTarget.authorityForm", "Std.Http.RequestTarget.ctorIdx", "Std.Http.URI.Authority", "Std.Http.RequestTarget", "Nat", "Std.Http.RequestTarget.ctorElim", "Eq.symm", "Eq" ]
false
CategoryTheory.NonemptyParallelPairPresentationAux.ι₁
Mathlib.CategoryTheory.Limits.Indization.ParallelPair
[ "CategoryTheory.Limits.IndObjectPresentation.I", "CategoryTheory.Limits.IndObjectPresentation.ι", "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.NonemptyParallelPairPresentationAux.F₁", "CategoryTheory.Comma.fst", "CategoryTheory.Limits....
true
CategoryTheory.ShortComplex.isIso_homologyMap'_of_isIso
Mathlib.Algebra.Homology.ShortComplex.Homology
[ "_private.Mathlib.Algebra.Homology.ShortComplex.Homology.0.CategoryTheory.ShortComplex.isIso_homologyMap'_of_isIso._proof_1", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.IsIso", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComp...
true
InverseSystem.PEquivOn.ctorIdx
Mathlib.Order.DirectedInverseSystem
[ "Order.succ", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "Equiv", "LE.le", "Nat", "SuccOrder", "Prod", "InverseSystem.PEquivOn", "Not", "instDistribLatticeOfLinearOrder", "Lattice.toSemilatticeInf", "IsMax", ...
false
Std.Time.Duration.instLT
Std.Time.Duration
[ "LT.mk", "Std.Time.Duration.toNanoseconds", "LT.lt", "Std.Time.Nanosecond.Offset", "Std.Time.Duration", "Std.Time.Nanosecond.instLTOffset", "LT" ]
true
ProbabilityTheory.betaMeasure
Mathlib.Probability.Distributions.Beta
[ "MeasureTheory.Measure.withDensity", "Real", "MeasureTheory.Measure", "ProbabilityTheory.betaPDF", "MeasureTheory.MeasureSpace.toMeasurableSpace", "Real.measureSpace", "Real.measurableSpace", "MeasureTheory.MeasureSpace.volume" ]
true
OrderDual.instNonAssocSemiring
Mathlib.Algebra.Order.Ring.Synonym
[ "NonAssocSemiring.mk", "NonAssocSemiring.toAddCommMonoidWithOne", "OrderDual.instNonAssocSemiring._proof_3", "AddMonoidWithOne.toNatCast", "OrderDual.instNonAssocSemiring._proof_1", "OrderDual.instAddCommMonoidWithOne", "AddCommMonoidWithOne.toAddMonoidWithOne", "OrderDual.instNonUnitalNonAssocSemirin...
true
Std.Iterators.Types.TakeWhile.instProductive
Std.Data.Iterators.Combinators.Monadic.TakeWhile
[ "ULift", "Std.Iterator", "_private.Std.Data.Iterators.Combinators.Monadic.TakeWhile.0.Std.Iterators.Types.TakeWhile.instProductivenessRelation", "Std.Iterators.Productive", "Std.Iterators.Types.TakeWhile", "Bool", "Std.Iterators.PostconditionT", "Std.Iterators.Productive.of_productivenessRelation", ...
true
Profinite.IndexFunctor.π_app._proof_1
Mathlib.Topology.Category.Profinite.Product
[ "Pi.topologicalSpace", "ContinuousMap", "Set.mapsTo_image", "Subtype", "TopologicalSpace", "ContinuousMap.precomp", "Set.MapsTo", "Set.image", "Subtype.val", "ContinuousMap.instFunLike", "DFunLike.coe", "Set" ]
false
CategoryTheory.instAbelianInd._proof_1
Mathlib.CategoryTheory.Abelian.Indization
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.Ind", "CategoryTheory.Abelian", "CategoryTheory.Abelian.hasFiniteColimits", "CategoryTheory.SmallCategory", "CategoryTheory.Limits.hasKernels_of_hasEqualizers", "CategoryTheory.instHasLimitsOfShapeWalkingParallelPairInd", "CategoryTheory.instPrea...
false
ProbabilityTheory.covarianceOperator_apply
Mathlib.Probability.Moments.CovarianceBilin
[ "NormedCommRing.toNormedRing", "Eq.mpr", "ProbabilityTheory.covarianceBilin._proof_4", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "MeasureTheory.MemLp.smul", "MeasureTheory.MemLp.const_inner", "Real", "Algebra.to_smulCommClass", "ProbabilityTheory.covarianceBilin._pr...
true
CategoryTheory.Bicategory.LeftExtension.whiskering._proof_4
Mathlib.CategoryTheory.Bicategory.Extension
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.StructuredArrow.hom_eq_iff._simp_1", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Bicategory.whiskerRight", "CategoryTheory.Bicategory.LeftExtension", "CategoryTheory.Bicategory.toCategoryStruct", "CategoryThe...
false
ProperlyDiscontinuousSMul.recOn
Mathlib.Topology.Algebra.ConstMulAction
[ "instHSMul", "ProperlyDiscontinuousSMul.rec", "SMul", "setOf", "Set.Finite", "ProperlyDiscontinuousSMul.mk", "Set.instInter", "Inter.inter", "TopologicalSpace", "Set.Nonempty", "Set.image", "HSMul.hSMul", "ProperlyDiscontinuousSMul", "IsCompact", "Set" ]
false
Topology.CWComplex.Subcomplex.mk''_I
Mathlib.Topology.CWComplex.Classical.Basic
[ "Topology.CWComplex", "Topology.RelCWComplex.openCell", "Topology.CWComplex.instRelCWComplex", "Membership.mem", "Set.Elem", "Topology.CWComplex.Subcomplex.mk''", "Topology.RelCWComplex.Subcomplex.I", "TopologicalSpace", "Nat", "Topology.RelCWComplex.cell", "T2Space", "Set.instEmptyCollection"...
true
Lean.Meta.SynthInstance.State.mk._flat_ctor
Lean.Meta.SynthInstance
[ "Lean.Meta.SynthInstance.Answer", "Lean.Meta.SynthInstance.ConsumerNode", "Lean.Expr.instBEq", "Lean.Meta.AbstractMVarsResult", "Lean.Expr", "Std.HashMap", "Array", "Lean.Meta.SynthInstance.GeneratorNode", "Lean.Meta.SynthInstance.TableEntry", "Lean.Meta.SynthInstance.State.mk", "Lean.Expr.instH...
false
Lean.Elab.Command.PreElabHeaderResult.mk.noConfusion
Lean.Elab.MutualInductive
[ "Lean.Expr", "id", "Lean.Elab.Command.InductiveView", "Array", "List", "Nat", "Lean.Elab.Command.PreElabHeaderResult", "Lean.Elab.Command.PreElabHeaderResult.mk", "Lean.Name", "Lean.Elab.Command.PreElabHeaderResult.noConfusion", "Eq" ]
false
_private.Mathlib.InformationTheory.KullbackLeibler.Basic.0.InformationTheory.klDiv_ne_top_iff._simp_1_1
Mathlib.InformationTheory.KullbackLeibler.Basic
[ "NormedCommRing.toSeminormedCommRing", "Real", "MeasureTheory.Measure", "InformationTheory.klDiv_eq_top_iff", "PseudoMetricSpace.toUniformSpace", "MeasureTheory.Integrable", "MeasureTheory.llr", "MeasureTheory.Measure.AbsolutelyContinuous", "SeminormedAddGroup.toContinuousENorm", "MeasurableSpace"...
false
Real.cosPartialEquiv._proof_6
Mathlib.Analysis.SpecialFunctions.Trigonometric.Inverse
[ "Real", "Real.cos", "Membership.mem", "Real.instOne", "Set.Icc", "Real.cos_arccos", "Real.sinPartialEquiv._proof_8", "Real.instNeg", "One.toOfNat1", "OfNat.ofNat", "Eq", "Set.instMembership", "Real.sinPartialEquiv._proof_10", "Neg.neg", "Real.instPreorder", "Real.arccos", "Set" ]
false
CategoryTheory.Abelian.SpectralObject.cyclesIsoH.congr_simp
Mathlib.Algebra.Homology.SpectralObject.Page
[ "CategoryTheory.Abelian.SpectralObject.cycles", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Abelian.SpectralObject.H", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "CategoryTheory.Abelian.SpectralObject.cyclesIsoH", "CategoryTheory.Abelian", "CategoryTheo...
true
CuspForm.translate._proof_1
Mathlib.NumberTheory.ModularForms.Basic
[ "SlashInvariantForm", "OnePoint.instGLAction", "ModularForm", "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "Semigroup.toMul", "Real", "instHSMul", "MulEquiv.instEquivLike", "ModularForm.toSlashInvariantForm", "HMul.hMul", "OnePoint.infty", "SlashInvariantForm.toFun", "Monoid.toMulOneCl...
false
Array.foldlM_congr
Init.Data.Array.Lemmas
[ "Eq.mpr", "List.foldlM", "congrArg", "List.length_drop", "HSub.hSub", "Eq.rec", "Array.casesOn", "id", "instSubNat", "instOfNatNat", "Array.foldlM_start_stop", "Array.extract", "List.toArray", "List.length_take", "Array", "Array.foldlM", "funext", "List", "List.size_toArray", "...
true
HasDerivWithinAt.div_const
Mathlib.Analysis.Calculus.Deriv.Mul
[ "HasDerivWithinAt.congr_simp", "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "DivInvMonoid.toInv", "instHDiv", "GroupWithZero.toDivisionMonoid", "NormedRing.toRing", "NormedSpace.toIsBoundedSMul", "HMul.hMul", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "DistribMulAction.toDist...
true
FiniteGaloisIntermediateField.ctorIdx
Mathlib.FieldTheory.Galois.GaloisClosure
[ "Algebra", "Field.toSemifield", "Semifield.toDivisionSemiring", "Nat", "DivisionSemiring.toSemiring", "Semifield.toCommSemiring", "Field", "FiniteGaloisIntermediateField" ]
false
Nat.iSup_of_not_bddAbove
Mathlib.Data.Nat.Lattice
[ "Nat.sSup_of_not_bddAbove", "iSup", "instOfNatNat", "instLENat", "BddAbove", "Nat", "Nat.instSupSet", "Set.range", "OfNat.ofNat", "Eq", "Not" ]
true
CategoryTheory.Limits.hasColimit_inverse_equivalence_comp_iff
Mathlib.CategoryTheory.Limits.HasLimits
[ "CategoryTheory.Functor", "CategoryTheory.Equivalence", "CategoryTheory.Functor.comp", "CategoryTheory.Limits.hasColimit_equivalence_comp_iff", "Iff", "CategoryTheory.Limits.HasColimit", "CategoryTheory.Equivalence.symm", "CategoryTheory.Category", "CategoryTheory.Equivalence.inverse" ]
true
AlgebraicGeometry.openToLocalization._proof_4
Mathlib.AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf
[ "SetLike", "NonAssocSemiring.toAddCommMonoidWithOne", "CategoryTheory.Functor", "CommRing", "Opposite", "AddGroupWithOne.toAddGroup", "TopologicalSpace.Opens.instPartialOrder", "CommSemiring.toSemiring", "AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf.IsFraction._proof_1", "TopCat.PrelocalPre...
false
Module.flat_of_localized_span
Mathlib.RingTheory.Flat.Localization
[ "Semiring.toModule", "instSMulOfMul", "IsScalarTower.right", "LocalizedModule", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "Module.flat_of_isLocalized_span", "Membership.mem", "AddZeroClass.toAddZero", "Set.Elem", "Algebra.id", "DistribSMul.toSMu...
true
joinedIn_univ._simp_1
Mathlib.Topology.Connected.PathConnected
[ "JoinedIn", "Set.univ", "joinedIn_univ", "TopologicalSpace", "propext", "Eq", "Joined" ]
false
ProofWidgets.ExprWithCtx.noConfusion
ProofWidgets.Compat
[ "Lean.Expr", "Lean.Elab.ContextInfo", "ProofWidgets.ExprWithCtx.casesOn", "Eq.ndrec", "Eq.refl", "ProofWidgets.ExprWithCtx.noConfusionType", "ProofWidgets.ExprWithCtx", "Lean.LocalInstances", "Eq", "Lean.LocalContext" ]
false
LieDerivation.instLinearMapClass
Mathlib.Algebra.Lie.Derivation.Basic
[ "LieAlgebra.toModule", "CommRing", "LieDerivation", "outParam", "LieRing.toAddCommGroup", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "SemilinearMapClass.mk", "RingHom", "AddZeroClass.toAddZero", "AddCommGroup", "...
true
RingHom.asBoolAlg_id
Mathlib.Algebra.Ring.BooleanRing
[ "CommSemiring.toSemiring", "BoundedLatticeHom.id", "BooleanRing.toCommRing", "AsBoolAlg", "BooleanAlgebra.toBoundedOrder", "BiheytingAlgebra.toCoheytingAlgebra", "BooleanAlgebra.toBiheytingAlgebra", "RingHom.asBoolAlg", "CommRing.toCommSemiring", "BoundedLatticeHom", "CoheytingAlgebra.toGenerali...
true
_private.Mathlib.RingTheory.WittVector.IsPoly.0.WittVector._aux_Mathlib_RingTheory_WittVector_IsPoly___macroRules__private_Mathlib_RingTheory_WittVector_IsPoly_0_WittVector_term𝕎_1
Mathlib.RingTheory.WittVector.IsPoly
[ "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
Affine.Simplex.exradius_empty
Mathlib.Geometry.Euclidean.Incenter
[ "InnerProductSpace.toNormedSpace", "Nat.instMulZeroClass", "Real", "Real.instRCLike", "Finset", "NormedSpace.toModule", "Affine.Simplex.inradius", "Affine.Simplex", "Real.instRing", "instOfNatNat", "Finset.instEmptyCollection", "instHAdd", "NormedAddTorsor.toAddTorsor", "MetricSpace", "H...
true
SchwartzMap.instFourierPair
Mathlib.Analysis.Distribution.SchwartzSpace.Fourier
[ "Eq.mpr", "InnerProductSpace.toNormedSpace", "Real", "CompleteSpace", "instIsAddHaarMeasureVolume", "measureSpaceOfInnerProductSpace", "MeasureTheory.Measure.IsAddHaarMeasure.instHasTemperateGrowth", "NormedSpace", "Real.instRCLike", "congrArg", "NormedSpace.toModule", "SchwartzMap.continuous"...
true
TopologicalSpace.NonemptyCompacts.isEmbedding_singleton
Mathlib.Topology.Sets.VietorisTopology
[ "TopologicalSpace.NonemptyCompacts.instSetLike", "TopologicalSpace.NonemptyCompacts", "TopologicalSpace.NonemptyCompacts.isEmbedding_coe", "TopologicalSpace.vietoris", "Function.comp", "TopologicalSpace.vietoris.isEmbedding_singleton", "TopologicalSpace", "SetLike.coe", "Iff.mp", "Topology.IsEmbed...
true
KuratowskiEmbedding.embeddingOfSubset
Mathlib.Topology.MetricSpace.Kuratowski
[ "Real", "Real.instSub", "HSub.hSub", "instAddCommGroupPreLp", "AddCommGroup.toAddGroup", "Membership.mem", "KuratowskiEmbedding.embeddingOfSubset._proof_1", "Subtype", "Real.normedAddCommGroup", "instOfNatNat", "Subtype.mk", "AddSubgroup", "instHSub", "lp", "MetricSpace", "AddSubgroup....
true
Plausible.Rat.shrinkable
Mathlib.Testing.Plausible.Sampleable
[ "Pure.pure", "Rat.num", "Plausible.Shrinkable.mk", "Monad.toApplicative", "List.map", "Rat", "Rat.divInt", "Rat.den", "List.instMonad", "Int", "Applicative.toPure", "Nat.cast", "List", "Nat", "Plausible.Shrinkable", "Plausible.Shrinkable.shrink", "Monad.toBind", "Bind.bind", "Pla...
true
modularCyclotomicCharacter.id
Mathlib.NumberTheory.Cyclotomic.CyclotomicCharacter
[ "one_pow", "Units.val", "IsDomain", "MulOne.toOne", "Nat.instMulZeroClass", "CommRing", "Eq.ge", "Preorder.toLT", "RingEquiv.refl", "ZMod.commRing", "modularCyclotomicCharacter.toFun", "Monoid.toMulOneClass", "congrArg", "CommSemiring.toSemiring", "RingEquiv.instEquivLike", "PartialOrd...
true
_private.Mathlib.Data.Set.Insert.0.Set.inter_insert_of_notMem._proof_1_1
Mathlib.Data.Set.Insert
[ "Lean.Grind.of_eq_eq_true", "Lean.Grind.eq_false_of_not_eq_true", "Set.ext", "False", "Lean.Grind.and_eq_of_eq_true_right", "Lean.Grind.not_not", "eq_false", "Lean.Grind.iff_eq", "congrArg", "Set.mem_inter_iff", "False.elim", "Classical.byContradiction", "Lean.Grind.and_eq_of_eq_true_left", ...
false
CategoryTheory.InjectiveResolution.descFSucc._proof_5
Mathlib.CategoryTheory.Abelian.Injective.Resolution
[ "CategoryTheory.InjectiveResolution.injective", "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.ShortComplex.Exact.comp_descToInjective", "CategoryTheory.InjectiveResolution.descFSucc._proof_4", "Nat.instOne", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ShortComplex...
false
_private.Lean.Compiler.IR.EmitLLVM.0.Lean.IR.emitLLVM.match_1
Lean.Compiler.IR.EmitLLVM
[ "Option.ctorIdx", "Option.some", "Nat.hasNotBit", "_private.Lean.Compiler.IR.EmitLLVM.0.Lean.IR.EmitLLVM.emitExternCall._sparseCasesOn_1", "LLVM.Value", "LLVM.Context", "Option" ]
false
_private.Lean.Meta.Tactic.Simp.SimpCongrTheorems.0.Lean.Meta.addSimpCongrTheoremEntry.insert._f
Lean.Meta.Tactic.Simp.SimpCongrTheorems
[ "_private.Lean.Meta.Tactic.Simp.SimpCongrTheorems.0.Lean.Meta.addSimpCongrTheoremEntry.insert.match_1", "GE.ge", "instLENat", "List.cons", "List", "Unit", "Nat", "Lean.Meta.SimpCongrTheorem", "Lean.Meta.SimpCongrTheorem.priority", "List.below", "Nat.decLe", "List.nil", "ite" ]
false
Int.ofNat_fmod
Init.Data.Int.DivMod.Lemmas
[ "Nat.instMod", "instHMod", "instOfNatNat", "Int", "Int.fmod", "Nat.cast", "Nat.casesAuxOn", "instHAdd", "HMod.hMod", "instOfNat", "HAdd.hAdd", "Nat", "eq_self", "of_eq_true", "Eq.ndrec", "Int.instAdd", "Int.instMod", "instAddNat", "Eq.refl", "instNatCastInt", "OfNat.ofNat", ...
true
CompleteType.isClopen_typesWith
Mathlib.ModelTheory.Topology.Types
[ "CompleteType.isOpen_typesWith", "CompleteType.isClosed_typesWith", "FirstOrder.Language.Theory.typesWith", "FirstOrder.Language.Theory", "FirstOrder.Language.withConstants", "IsClosed", "CompleteType.instTopologicalSpaceCompleteType", "FirstOrder.Language.Theory.CompleteType", "And.intro", "First...
true
PUnit.normedAlgebra._proof_1
Mathlib.Analysis.Normed.Module.Basic
[ "Norm.norm", "NormedCommRing.toSeminormedCommRing", "SeminormedRing.toNorm", "Real.instLE", "Real", "instHSMul", "HMul.hMul", "Real.instZero", "congrArg", "CommSemiring.toSemiring", "PUnit.commRing", "PUnit.algebra", "Algebra.toSMul", "NormedField.toField", "Real.semiring", "NormedFiel...
false
Std.Sat.AIG.RefVec.cast'
Std.Sat.AIG.RefVec
[ "Std.Sat.AIG.Decl", "Std.Sat.AIG.Fanin.gate", "Vector", "Std.Sat.AIG.RefVec.mk", "Vector.instGetElemNatLt", "Std.Sat.AIG.RefVec.cast'._proof_1", "GetElem.getElem", "Std.Sat.AIG", "Nat", "LT.lt", "Std.Sat.AIG.RefVec.refs", "Hashable", "instLTNat", "Std.Sat.AIG.RefVec", "Std.Sat.AIG.Fanin"...
true
CategoryTheory.Limits.isKernelOfComp._proof_3
Mathlib.CategoryTheory.Limits.Shapes.Kernels
[ "Eq.mpr", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Limits.KernelFork.ofι", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "congrArg", "CategoryTheory.Limits.KernelFork", "CategoryTheory.Limits.Fork.IsLimit.hom_ext", "CategoryTh...
false
_private.Init.Data.Array.GetLit.0.List.take.match_1.eq_1
Init.Data.Array.GetLit
[ "List.take.match_1", "instOfNatNat", "List.cons", "List", "Nat", "Eq.refl", "OfNat.ofNat", "Nat.succ", "Eq", "List.nil" ]
true
Lean.Elab.InlayHint.noConfusion
Lean.Elab.InfoTree.InlayHints
[ "Lean.Elab.InlayHint.noConfusionType", "Lean.Meta.MetaM", "Lean.Elab.InlayHint.casesOn", "Lean.Elab.InlayHintInfo", "Eq.ndrec", "Eq.refl", "Eq", "Lean.LocalContext", "Lean.Elab.InlayHint" ]
false
_private.Mathlib.NumberTheory.Bernoulli.0.Bernoulli.pIntegral_bernoulli_even_term._simp_1_7
Mathlib.NumberTheory.Bernoulli
[ "GroupWithZero.toMonoidWithZero", "False", "GroupWithZero.toDivInvMonoid", "eq_false", "GroupWithZero", "DivInvMonoid.toZPow", "Ne", "Int", "MonoidWithZero.toMulZeroOneClass", "HPow.hPow", "Zero.toOfNat0", "zpow_ne_zero", "instHPow", "MulZeroOneClass.toMulZeroClass", "OfNat.ofNat", "Eq...
false
ValuationSubring.ofLE._proof_1
Mathlib.RingTheory.Valuation.ValuationSubring
[ "ValuationSubring.mem_or_inv_mem", "Subring.toSubsemiring", "DivisionCommMonoid.toDivisionMonoid", "Subring.instSetLike", "DivInvOneMonoid.toInvOneClass", "Submonoid.toSubsemigroup", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "DivisionMonoid.toDivInvOneMonoid", "MulOne.toMul",...
false
SkewMonoidAlgebra.instNonAssocSemiring._proof_4
Mathlib.Algebra.SkewMonoidAlgebra.Basic
[ "Monoid", "NonAssocSemiring.toAddCommMonoidWithOne", "MulOne.toOne", "AddMonoid.toAddSemigroup", "Monoid.toMulOneClass", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "AddMonoidWithOne.toNatCast", "instOfNatNat", "AddCommMonoidWithOne.toAddMonoidWithOne", "NatCast.natCast", "AddMonoidW...
false
Std.DHashMap.Raw.Const.get?_inter_of_mem_right
Std.Data.DHashMap.RawLemmas
[ "Std.DHashMap.Raw.WF", "Std.DHashMap.Raw.instMembershipOfBEqOfHashable", "Eq.mpr", "Std.DHashMap.Raw.mem_iff_contains", "Std.DHashMap.Internal.Raw₀.inter", "Std.DHashMap.Internal.Raw₀.contains", "Std.DHashMap.Internal.Raw₀.Const.get?", "Std.DHashMap.Internal.Raw.inter_eq", "congrArg", "Std.DHashMa...
true
Std.TreeMap.Raw.getKey!_eq_of_contains
Std.Data.TreeMap.Raw.Lemmas
[ "Std.TreeMap.Raw.contains", "Std.TreeMap.Raw.getKey!", "Std.TreeMap.Raw.WF.out", "Ordering", "Std.TransCmp", "Std.TreeMap.Raw.WF", "Std.TreeMap.Raw.inner", "Std.TreeMap.Raw", "Bool.true", "Std.LawfulEqCmp", "Bool", "Std.DTreeMap.Raw.getKey!_eq_of_contains", "Inhabited", "Eq" ]
true
Pi.Part.hasFix
Mathlib.Control.Fix
[ "Part", "Fix", "Part.fix", "Fix.mk" ]
true
Lean.Doc.Inline.noConfusion
Lean.DocString.Types
[ "Lean.Doc.Inline.noConfusionType", "HEq.refl", "String", "Array", "Lean.Doc.MathMode", "eq_of_heq", "Eq.ndrec", "Eq.refl", "HEq", "Lean.Doc.Inline.casesOn", "Eq", "Lean.Doc.Inline" ]
false
MvPowerSeries.coeff_mul_right_one_sub_of_lt_weightedOrder
Mathlib.RingTheory.MvPowerSeries.Order
[ "AddGroup.toSubtractionMonoid", "Finsupp.instAddZeroClass", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Nat.instMulZeroClass", "Semiring.toModule", "HMul.hMul", "map_sub", "SemilinearMapClass.distribMulActionSemiHomClass", "Ring.toNonAssocRing", "MvPowerSeries.le_weightedOrder_mul", ...
true
Ideal.isPrincipalNonZeroDivisorsSubmonoid._proof_2
Mathlib.RingTheory.Ideal.IsPrincipal
[ "Submodule", "MulOne.toOne", "Ideal.one_eq_top", "CommRing", "Semiring.toModule", "congrArg", "CommSemiring.toSemiring", "AddGroupWithOne.toAddMonoidWithOne", "Ideal.span_singleton_one", "Membership.mem", "nonZeroDivisors", "Algebra.id", "Set.instSingletonSet", "Subtype", "Submonoid.toMu...
false
CategoryTheory.Sheaf.isSheaf_of_isLimit
Mathlib.CategoryTheory.Sites.Limits
[ "Eq.mpr", "CategoryTheory.GrothendieckTopology.Cover.shape", "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "Opposite", "congrArg", "CategoryTheory.Limits.HasLimitsOfShape", "CategoryTheory.Functor.category", "CategoryTheory.Limits.WalkingMulticospan.instSmallCategory", "CategoryTheory.Fu...
true
MaximalSpectrum.toPiLocalization_apply_apply
Mathlib.RingTheory.Spectrum.Maximal.Localization
[ "MaximalSpectrum.asIdeal", "Algebra.algebraMap", "OreLocalization.instAlgebra", "CommSemiring.toSemiring", "AlgHom", "Localization.AtPrime", "AlgHom.funLike", "RingHom", "Algebra.id", "MaximalSpectrum", "MaximalSpectrum.toPiLocalization", "CommSemiring", "Pi.semiring", "Pi.algebra", "Max...
true
LinearEquiv.ofIsUnitDet._proof_2
Mathlib.LinearAlgebra.Determinant
[ "LinearMap.id", "Matrix.toLin", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "HMul.hMul", "CommRing.toNonUnitalCommRing", "Matrix.module", "congrArg", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Matrix", "Matrix.instHMulOfFintypeOfMulOfAdd...
false
SimpleGraph.IsFiveWheelLike.card_inter
Mathlib.Combinatorics.SimpleGraph.FiveWheelLike
[ "Finset", "Inter.inter", "SimpleGraph", "Finset.instInter", "Nat", "SimpleGraph.IsFiveWheelLike", "Finset.card", "Eq", "DecidableEq" ]
true
_private.Mathlib.Data.Part.0.Part.mem_toOption._simp_1_4
Mathlib.Data.Part
[ "Option.instMembership", "Option.some", "Membership.mem", "propext", "Eq", "Option.mem_def", "Option" ]
false
LinearMap.inverse._proof_1
Mathlib.Algebra.Module.LinearMap.Defs
[ "Eq.mpr", "congrArg", "LinearMap.instFunLike", "RingHom", "map_add", "id", "LinearMap.semilinearMapClass", "LinearMap", "AddCommMonoid", "instHAdd", "HAdd.hAdd", "congr", "True", "eq_self", "of_eq_true", "Semiring", "AddCommSemigroup.toAddCommMagma", "Module", "Eq.symm", "AddCo...
false
CategoryTheory.Pseudofunctor.CoGrothendieck.noConfusionType
Mathlib.CategoryTheory.Bicategory.Grothendieck
[ "Opposite", "CategoryTheory.LocallyDiscrete.mk", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.locallyDiscreteBicategory", "CategoryTheory.Pseudofunctor.CoGrothendieck", "CategoryTheory.Pseudofunctor.toPrelaxFunctor", "CategoryTheory.Bicategory.toCategoryStruct", "CategoryT...
false
CategoryTheory.Sheaf.IsConstant.recOn
Mathlib.CategoryTheory.Sites.ConstantSheaf
[ "CategoryTheory.Functor", "CategoryTheory.constantSheaf", "Opposite", "CategoryTheory.Functor.category", "CategoryTheory.Sheaf.IsConstant", "CategoryTheory.Functor.essImage", "CategoryTheory.Sheaf.IsConstant.rec", "CategoryTheory.GrothendieckTopology", "CategoryTheory.HasWeakSheafify", "CategoryTh...
false
CategoryTheory.ObjectProperty.isoModSerre_of_mono
Mathlib.CategoryTheory.Abelian.SerreClass.MorphismProperty
[ "Eq.mpr", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ObjectProperty.IsSerreClass", "CategoryTheory.Abelian", "id", "CategoryTheory.ObjectProperty.isoModSerre_iff_of_mono", "propext", "CategoryTheory.ObjectProperty.isoModSerre", "C...
true
OrderHom.le_def
Mathlib.Order.Hom.Basic
[ "Iff.rfl", "Preorder.toLE", "OrderHom.instPreorder", "LE.le", "OrderHom.instFunLike", "Iff", "DFunLike.coe", "OrderHom", "Preorder" ]
true
Multiset.lt_cons_self
Mathlib.Data.Multiset.ZeroCons
[ "Eq.mpr", "Preorder.toLT", "congrArg", "PartialOrder.toPreorder", "Preorder.toLE", "Quot.inductionOn", "Multiset", "Nat.lt_succ_self", "Multiset.cons", "id", "List.Perm", "Ne", "_private.Mathlib.Data.Multiset.ZeroCons.0.Multiset.lt_cons_self._simp_1_1", "LE.le", "List.cons", "List.Perm...
true
Algebra.traceMatrix_of_matrix_vecMul
Mathlib.RingTheory.Trace.Basic
[ "Mathlib.Tactic.Ring.Common.mul_pf_left", "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Algebra.mul_smul_comm", "Semigroup.toMul", "CommRing", "instHSMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "...
true
_private.Mathlib.Analysis.InnerProductSpace.Adjoint.0.ContinuousLinearMap.IsIdempotentElem.isSelfAdjoint_iff_isStarNormal._simp_1_5
Mathlib.Analysis.InnerProductSpace.Adjoint
[ "eq_comm", "propext", "Eq" ]
false
_private.Lean.ReducibilityAttrs.0.Lean.initFn._@.Lean.ReducibilityAttrs.2994861043._hygCtx._hyg.2
Lean.ReducibilityAttrs
[ "Lean.MessageData", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Lean.Name.mkNum", "Lean.Core.instMonadRefCoreM", "Lean.AttrM", "String", "Lean.instAddErrorMessageContextOfAddMessageContextOfMonad", "_private.Lean.ReducibilityAttrs.0.Lean.addAttr", "IO", "Lean.MessageData.instA...
false
Std.Time.PlainDate.withMonthRollOver
Std.Time.Date.PlainDate
[ "Std.Time.PlainDate", "Std.Time.PlainDate.day", "Std.Time.PlainDate.year", "Std.Time.PlainDate.rollOver", "Std.Time.Month.Ordinal" ]
true
CategoryTheory.Abelian.SpectralObject.IsThirdQuadrant.mk
Mathlib.Algebra.Homology.SpectralObject.HasSpectralSequence
[ "WithBotTop.coe", "WithBot.instPreorder", "Preorder.toLT", "WithTop.instPreorder", "CategoryTheory.Abelian.SpectralObject.H", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "Preorder.toLE", "CategoryTheory.Abelian", "CategoryTheory.ComposableArrows", "SemilatticeInf.toPartialOrder...
true
AlgebraicGeometry.isIntegral_of_isOpenImmersion
Mathlib.AlgebraicGeometry.Properties
[ "AlgebraicGeometry.Scheme.Hom.opensFunctor", "CategoryTheory.Iso.commRingCatIsoToRingEquiv", "AlgebraicGeometry.IsIntegral", "Eq.mpr", "AlgebraicGeometry.IsIntegral.nonempty._autoParam", "AlgebraicGeometry.IsIntegral.mk", "IsDomain", "AlgebraicGeometry.Scheme.Hom.toLRSHom", "AlgebraicGeometry.Sheafe...
true
Turing.ToPartrec.instDecidableEqCode.decEq._proof_30
Mathlib.Computability.TuringMachine.Config
[ "False", "Turing.ToPartrec.Code.ctorIdx", "False.elim", "noConfusion_of_Nat", "Turing.ToPartrec.Code.succ", "Turing.ToPartrec.Code.comp", "Eq", "Not", "Turing.ToPartrec.Code" ]
false
Order.IsPredLimit.le_iff_forall_le
Mathlib.Order.SuccPred.Limit
[ "Order.IsPredLimit.isPredPrelimit", "Preorder.toLT", "Lattice.toSemilatticeSup", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "DistribLattice.toLattice", "LE.le", "Iff", "LT.lt", "Order.IsPredPrelimit.le_iff_forall_le", "SemilatticeSup.toPartialOrder", "instDistribLatticeOfLine...
true
Std.DTreeMap.Raw.Const.get?_insertManyIfNewUnit_list
Std.Data.DTreeMap.Raw.Lemmas
[ "Unit.unit", "Std.DTreeMap.Raw.instMembership", "instForInOfForIn'", "List.contains", "Std.DTreeMap.Internal.Impl.Const.get?_insertManyIfNewUnit!_list", "Ord.mk", "Option.some", "Membership.mem", "Ordering", "inferInstance", "instDecidableEqBool", "Std.DTreeMap.Raw.Const.insertManyIfNewUnit", ...
true
_private.Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Formula.0.WeierstrassCurve.Affine.addPolynomial_slope._proof_1_1
Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Formula
[ "NegZeroClass.toNeg", "Lean.RArray.leaf", "Lean.Grind.Field.toCommRing", "False", "Lean.Grind.CommRing.Mon.mult", "Lean.Grind.CommRing.diseq_to_eq", "instHDiv", "Lean.Grind.CommRing.Poly", "Lean.Grind.CommRing.Expr", "HMul.hMul", "Lean.Grind.CommRing.Expr.mul", "DivisionCommMonoid.toDivisionMo...
false
instNonUnitalAlgHomClassOfNonUnitalAlgEquivClass
Mathlib.Algebra.Star.StarAlgHom
[ "Monoid", "MonoidHom.instFunLike", "outParam", "MonoidHom", "Monoid.toMulOneClass", "DistribMulAction.toDistribSMul", "RingEquivClass.toNonUnitalRingHomClass", "NonUnitalAlgEquivClass.toMulActionSemiHomClass", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "Distrib.toAdd", "DistribSMul....
true
Lean.Elab.Tactic.Conv.evalConvConvSeq
Lean.Elab.Tactic.Conv.Basic
[ "Lean.Syntax", "Lean.Expr", "instOfNatNat", "Lean.Elab.Tactic.Conv.getLhs", "Lean.Elab.Tactic.instMonadTacticM", "GetElem.getElem", "Unit", "Lean.Elab.Tactic.Tactic", "Lean.Elab.Tactic.Conv.convert", "Nat", "True", "Monad.toBind", "_private.Lean.Elab.Tactic.Conv.Basic.0.Lean.Elab.Tactic.Conv...
true