name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
ZeroHom.smul_apply
Mathlib.Algebra.GroupWithZero.Action.Hom
[ "ZeroHom.funLike", "instHSMul", "SMulZeroClass", "ZeroHom.instSMulZeroClass", "ZeroHom", "HSMul.hSMul", "SMulZeroClass.toSMul", "instZeroZeroHom", "Eq", "DFunLike.coe", "rfl", "Zero" ]
true
DirectLimit.map._proof_1
Mathlib.Order.DirectedInverseSystem
[ "Eq.mpr", "congrArg", "Preorder.toLE", "id", "Sigma.fst", "DirectedSystem.map_map'", "LE.le", "congr", "True", "eq_self", "of_eq_true", "DirectedSystem", "Sigma.mk", "LE.le.trans", "Sigma.snd", "Eq", "DFunLike.coe", "Preorder", "Eq.trans", "FunLike" ]
false
CategoryTheory.IsIso.comp_inv_eq._simp_1
Mathlib.CategoryTheory.Iso
[ "CategoryTheory.IsIso", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.IsIso.comp_inv_eq", "propext", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.inv", "CategoryTheory.Category.toCategoryStruct", "Eq", "CategoryTheory.Category" ]
false
Algebra.mem_sup_left
Mathlib.Algebra.Algebra.Subalgebra.Lattice
[ "Subalgebra.instSetLike", "Lattice.toSemilatticeSup", "le_sup_left", "PartialOrder.toPreorder", "Algebra.instCompleteLatticeSubalgebra", "Algebra", "Preorder.toLE", "Membership.mem", "CompleteLattice.toConditionallyCompleteLattice", "SemilatticeSup.toMax", "LE.le", "CommSemiring", "Max.max",...
true
Bundle.ContMDiffRiemannianMetric.toContinuousRiemannianMetric
Mathlib.Geometry.Manifold.VectorBundle.Riemannian
[ "Bundle.ContMDiffRiemannianMetric.isVonNBounded", "Real", "NormedSpace", "FiberBundle", "Real.denselyNormedField", "AddCommGroup.toAddCommMonoid", "Bundle.ContMDiffRiemannianMetric.toContinuousRiemannianMetric._proof_16", "PseudoMetricSpace.toUniformSpace", "Bundle.ContMDiffRiemannianMetric.symm", ...
true
Aesop.Match.mk.sizeOf_spec
Aesop.Forward.Match.Types
[ "Aesop.PremiseIndex._sizeOf_inst", "Aesop.PremiseIndex", "Aesop.Match.mk", "Aesop.SlotIndex", "Aesop.Substitution", "Aesop.Match", "instOfNatNat", "Array._sizeOf_inst", "Array", "Aesop.Substitution._sizeOf_inst", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "Aesop.Match._sizeOf_inst"...
true
MeromorphicAt.meromorphicTrailingCoeffAt_fun_zpow
Mathlib.Analysis.Meromorphic.TrailingCoefficient
[ "DivInvMonoid.toZPow", "NormedDivisionRing.toDivisionRing", "DivisionRing.toDivInvMonoid", "Int", "NormedField.toNormedDivisionRing", "NormedCommRing.toNonUnitalNormedCommRing", "NonUnitalNormedRing.toNormedAddCommGroup", "HPow.hPow", "NonUnitalNormedCommRing.toNonUnitalNormedRing", "meromorphicTr...
true
Std.Tactic.BVDecide.instDecidableEqBVBinOp._proof_2
Std.Tactic.BVDecide.Bitblast.BVExpr.Basic
[ "False", "Std.Tactic.BVDecide.BVBinOp", "Std.Tactic.BVDecide.BVBinOp.ctorIdx", "absurd", "Nat", "Eq.ndrec", "Eq.refl", "Eq", "Not" ]
false
Rack.PreEnvelGroupRel'.act_incl.elim
Mathlib.Algebra.Quandle
[ "PULift.up", "Rack.PreEnvelGroupRel'", "Rack.toShelf", "Rack.PreEnvelGroupRel'.ctorIdx", "Rack", "Rack.PreEnvelGroupRel'.act_incl", "Rack.PreEnvelGroup.inv", "Shelf.act", "Nat", "Rack.PreEnvelGroup.incl", "Rack.PreEnvelGroupRel'.ctorElim", "Eq.symm", "Eq", "Rack.PreEnvelGroup", "Rack.Pre...
false
_private.Lean.Server.FileWorker.WidgetRequests.0.Lean.Widget.TaggedTextHighlightState.mk.noConfusion
Lean.Server.FileWorker.WidgetRequests
[ "String", "_private.Lean.Server.FileWorker.WidgetRequests.0.Lean.Widget.TaggedTextHighlightState.noConfusion", "_private.Lean.Server.FileWorker.WidgetRequests.0.Lean.Widget.TaggedTextHighlightState", "_private.Lean.Server.FileWorker.WidgetRequests.0.Lean.Widget.TaggedTextHighlightState.mk", "id", "String....
false
IsLocalization.AtPrime.mem_primesOver_of_isPrime
Mathlib.RingTheory.Localization.AtPrime.Extension
[ "Eq.mpr", "CommRing", "Ideal.primesOver", "congrArg", "CommSemiring.toSemiring", "Algebra", "IsLocalRing.maximalIdeal", "Membership.mem", "Ideal.liesOver_iff", "inferInstance", "Ideal.LiesOver", "id", "Algebra.IsIntegral", "IsLocalRing", "Ideal", "CommRing.toCommSemiring", "And.intro...
true
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.isEmpty_diff_iff._simp_1_3
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "Membership.mem", "Bool.true", "Std.DTreeMap.Internal.Impl.contains", "propext", "Bool", "Std.DTreeMap.Internal.Impl.mem_iff_contains", "Eq", "Std.DTreeMap.Internal.Impl", "Std.DTreeMap.Internal.Impl.instMembershipOfOrd" ]
false
CategoryTheory.Functor.descColimitType_comp_ι
Mathlib.CategoryTheory.Limits.Types.ColimitType
[ "CategoryTheory.Functor", "Function.comp", "CategoryTheory.Functor.ColimitType", "CategoryTheory.Functor.CoconeTypes.ι", "CategoryTheory.Functor.CoconeTypes.pt", "CategoryTheory.Functor.descColimitType", "CategoryTheory.Functor.CoconeTypes", "CategoryTheory.types", "Eq", "CategoryTheory.Functor.ιC...
true
Lean.Elab.Term.BodyInfo.casesOn
Lean.Elab.Term.TermElabM
[ "Lean.Elab.Term.BodyInfo.mk", "Lean.Expr", "Lean.Elab.Term.BodyInfo.rec", "Lean.Elab.Term.BodyInfo", "Option" ]
false
Matrix.conjTransposeAddEquiv_symm
Mathlib.LinearAlgebra.Matrix.ConjTranspose
[ "Matrix.add", "AddMonoid.toAddSemigroup", "Matrix", "AddSemigroup.toAdd", "AddMonoid", "StarAddMonoid", "AddEquiv", "Matrix.conjTransposeAddEquiv", "Eq", "rfl", "AddEquiv.symm" ]
true
MeasureTheory.hasFiniteIntegral_iff_enorm
Mathlib.MeasureTheory.Function.L1Space.HasFiniteIntegral
[ "MeasureTheory.Measure", "Preorder.toLT", "PartialOrder.toPreorder", "iff_self", "MeasurableSpace", "ENorm.enorm", "Iff", "LT.lt", "ENNReal", "of_eq_true", "ENorm", "ENNReal.instPartialOrder", "MeasureTheory.HasFiniteIntegral", "ENNReal.instTop", "Top.top", "MeasureTheory.lintegral" ]
true
_private.Aesop.RuleSet.Member.0.Aesop.LocalRuleSetMember.name.match_1
Aesop.RuleSet.Member
[ "Aesop.LocalRuleSetMember.global", "Aesop.LocalRuleSetMember", "Aesop.LocalRuleSetMember.casesOn", "Aesop.LocalRuleSetMember.localNormSimpRule", "Aesop.GlobalRuleSetMember", "Aesop.LocalNormSimpRule" ]
false
Lean.Sym.UInt16.lt_eq_false
Init.Sym.Lemmas
[ "False", "UInt16.decLt", "UInt16.not_lt._simp_1", "iff_false", "instLEUInt16", "eq_iff_iff._simp_1", "Eq.mp", "id", "LE.le", "UInt16", "Iff", "decide_eq_false_iff_not._simp_1", "LT.lt", "True", "eq_true", "Bool", "of_eq_true", "instLTUInt16", "Bool.false", "Decidable.decide", ...
true
HasQuotient.quotient'
Mathlib.Algebra.Quotient
[ "outParam", "HasQuotient.Quotient", "HasQuotient" ]
true
IsLocalization.mapFrameHom._proof_1
Mathlib.RingTheory.Localization.Ideal
[ "RingHom.instRingHomClass", "Semiring.toModule", "Algebra.algebraMap", "CommSemiring.toSemiring", "Algebra", "RingHom", "Ideal.map", "Submodule.instTop", "Ideal", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "RingHom.instFunLike", "NonAssocSemiring.toNonUnitalNonAssocSemiring...
false
CategoryTheory.Abelian.SpectralObject.opcyclesMap_fromOpcycles
Mathlib.Algebra.Homology.SpectralObject.Cycles
[ "Eq.mpr", "instNeZeroNatHAdd_1", "CategoryTheory.Functor", "le_rfl", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Abelian.SpectralObject.H", "CategoryTheory.Abelian.SpectralObject.opcyclesMap", "CategoryTheory.ComposableArrows.map'._proof_8", "CategoryTheor...
true
AlgebraicGeometry.Scheme.isPullback_of_openCover
Mathlib.AlgebraicGeometry.Pullbacks
[ "CategoryTheory.Limits.limit.π", "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.Limits.pullback", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "AlgebraicGeometry.Scheme.Cover.pullbackHom", "AlgebraicGeometry.Scheme", "CategoryTheory.PreZeroHypercover.f", "CategoryTheory.Is...
true
_private.Mathlib.Tactic.Widget.InteractiveUnfold.0.Mathlib.Tactic.InteractiveUnfold.UnfoldComponent._proof_1
Mathlib.Tactic.Widget.InteractiveUnfold
[ "UInt64", "String", "instHashableString", "Hashable.hash", "Eq", "rfl" ]
false
CategoryTheory.LocallyDiscrete.rec
Mathlib.CategoryTheory.Bicategory.LocallyDiscrete
[ "CategoryTheory.LocallyDiscrete.mk", "CategoryTheory.LocallyDiscrete" ]
false
CategoryTheory.ExponentiableMorphism.mk._flat_ctor
Mathlib.CategoryTheory.LocallyCartesianClosed.ExponentiableMorphism
[ "CategoryTheory.Over", "CategoryTheory.Functor", "CategoryTheory.ChosenPullbacksAlong", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.instCategoryOver", "CategoryTheory.ExponentiableMorphism.mk", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Adjunction", "Ca...
false
Dense.extend_spec
Mathlib.Topology.UniformSpace.UniformEmbedding
[ "UniformContinuous", "UniformSpace", "CompleteSpace", "instUniformSpaceSubtype", "Membership.mem", "nhds", "Dense", "Set.Elem", "Subtype", "Dense.extend", "Filter.Tendsto", "isUniformInducing_val", "Dense.denseRange_val", "uniformly_extend_spec", "Subtype.val", "UniformSpace.toTopologi...
true
_private.Mathlib.Data.Int.Fib.Basic.0.Int.fib_two_mul_add_one_pos._proof_1_1
Mathlib.Data.Int.Fib.Basic
[ "Int.Linear.eq_of_core", "of_eq_false", "Lean.Grind.CommRing.le_norm_expr", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "False", "HMul.hMul", "Int.Linear.norm_le", "eq_false", "Lean.Grind.iff_eq", "Lean.Grind.CommRing.Expr.var", "Int.Linear.Expr.eq_of_norm_eq", "congrArg", "Int.Li...
false
_private.Mathlib.Analysis.Normed.Lp.PiLp.0.PiLp.lipschitzWith_ofLp_aux._simp_1_1
Mathlib.Analysis.Normed.Lp.PiLp
[ "Finset", "PartialOrder.toPreorder", "Preorder.toLE", "OrderBot", "Membership.mem", "LE.le", "Finset.instSetLike", "propext", "Finset.sup_le_iff", "Finset.sup", "SemilatticeSup.toPartialOrder", "Eq", "SemilatticeSup", "SetLike.instMembership" ]
false
ProbabilityTheory.IsPreLocalizingSequence.recOn
Mathlib.Probability.Process.LocalProperty
[ "MeasureTheory.ae", "MeasureTheory.IsStoppingTime", "OrderTopology", "MeasureTheory.Measure", "ProbabilityTheory.IsPreLocalizingSequence", "Filter.Eventually", "nhds", "MeasureTheory.Filtration", "ProbabilityTheory.IsPreLocalizingSequence._auto_1", "autoParam", "Filter.atTop", "MeasurableSpace...
false
CategoryTheory.Presieve.shrinkFunctorHomEquiv._proof_2
Mathlib.CategoryTheory.Sites.IsSheafFor
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.LocallySmall", "CategoryTheory.shrinkYoneda", "CategoryTheory.Functor.category", "Membership.mem", "CategoryTheory.Subfunctor.obj", "CategoryTheory.Sieve", "CategoryTheory.Subfunctor.toFunctor", "CategoryTheory.Sieve.shrinkFunctor", "Subtype....
false
Homotopy.extendEquiv
Mathlib.Algebra.Homology.Embedding.ExtendHomotopy
[ "HomologicalComplex.instCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Homotopy.extend", "HomologicalComplex", "Equiv.mk", "Equiv", "Homotopy.extendEquiv._proof_4", "HomologicalComplex.extend", "ComplexShape", "CategoryTheory.Preadditive", "Homotopy.ofExtend", "CategoryT...
true
Fin.modn_val
Init.Data.Fin.Lemmas
[ "Nat.instMod", "instHMod", "Fin.val", "HMod.hMod", "Nat", "Fin.modn", "Fin", "Eq", "rfl" ]
true
Equiv.Perm.IsCycleOn.inv
Mathlib.GroupTheory.Perm.Cycle.Basic
[ "Iff.mpr", "Equiv.Perm.instInv", "Equiv.Perm.isCycleOn_inv", "Inv.inv", "Equiv.Perm", "Equiv.Perm.IsCycleOn", "Set" ]
true
Std.DTreeMap.Internal.Impl.minKeyD._unary._proof_2
Std.Data.DTreeMap.Internal.Queries
[ "Lean.RArray.leaf", "invImage", "instSizeOfDefault", "Nat.Linear.ExprCnstr.eq_true_of_isValid", "Lean.RArray.branch", "namedPattern", "Std.DTreeMap.Internal.Impl.inner", "PSigma.casesOn", "id", "instOfNatNat", "LE.le", "sizeOfWFRel", "instLENat", "Nat.Linear.Expr.num", "Bool.true", "in...
false
AlgebraicGeometry.exists_eq_pow_mul_of_isAffineOpen._proof_2
Mathlib.AlgebraicGeometry.Morphisms.QuasiSeparated
[ "AlgebraicGeometry.Scheme", "Opposite", "CommRingCat.carrier", "AlgebraicGeometry.PresheafedSpace.carrier", "TopologicalSpace.Opens.instPartialOrder", "CommRingCat", "PartialOrder.toPreorder", "TopologicalSpace.Opens", "Preorder.toLE", "AlgebraicGeometry.Scheme.basicOpen_le", "CommRingCat.instCa...
false
Nat.mod_div_self
Init.Data.Nat.Lemmas
[ "instHDiv", "HDiv.hDiv", "Nat.instMod", "instHMod", "instOfNatNat", "Nat.mod_lt", "Nat.casesAuxOn", "Nat.div_zero", "instHAdd", "HMod.hMod", "HAdd.hAdd", "Nat", "Nat.succ_pos", "Nat.instDiv", "Eq.ndrec", "instAddNat", "Eq.refl", "Nat.div_eq_of_lt", "OfNat.ofNat", "Eq.symm", "...
true
CategoryTheory.GrothendieckTopology.isClosed_iff_close_eq_self
Mathlib.CategoryTheory.Sites.Closed
[ "PartialOrder.toPreorder", "CompleteLattice.toConditionallyCompleteLattice", "CategoryTheory.Sieve", "Iff", "CategoryTheory.GrothendieckTopology.IsClosed", "ClosureOperator.isClosed_iff", "CategoryTheory.GrothendieckTopology", "CategoryTheory.Sieve.instCompleteLattice", "ConditionallyCompletePartial...
true
Lean.Linter.MissingDocs.hasTacticAlt
Lean.Linter.MissingDocs
[ "Lean.Syntax.isOfKind", "Lean.Syntax", "Array.any", "instOfNatNat", "GetElem.getElem", "Lean.Syntax.getSepArgs", "Nat", "True", "Bool", "OfNat.ofNat", "Lean.Name.mkStr4", "Array.size", "Lean.Syntax.instGetElemNatTrue", "True.intro" ]
true
_private.Std.Time.Date.ValidDate.0.Std.Time.ValidDate.ofOrdinal.go._unary.eq_def
Std.Time.Date.ValidDate
[ "_private.Std.Time.Date.Unit.Month.0.Std.Time.Month.Ordinal.monthSizesNonLeap", "Iff.mpr", "Rat.instOfNat", "Eq.mpr", "Std.Time.Internal.Bounded.cast", "False", "Subtype.mk.congr_simp", "Std.Time.ValidDate", "_private.Std.Time.Date.ValidDate.0.Std.Time.ValidDate.ofOrdinal.go._unary", "Std.Time.Day...
false
List.Perm.union_right
Batteries.Data.List.Perm
[ "LawfulBEq", "List.Perm", "List.Perm.refl", "List.Perm.trans", "List", "List.perm_insert_swap", "List.instUnionOfBEq_batteries", "Union.union", "List.Perm.insert", "List.Perm.rec", "List.foldr", "BEq", "List.insert", "List.nil" ]
true
Rat.cast_fract
Mathlib.Data.Rat.Floor
[ "Int.cast", "Rat.instSub", "Rat.cast_intCast", "DivisionRing.toRatCast", "Int.floor", "AddGroupWithOne.toAddGroup", "congrArg", "Int.fract", "LinearOrder", "Rat", "Rat.instFloorRing", "HSub.hSub", "Rat.linearOrder", "IsStrictOrderedRing", "Field.toDivisionRing", "SemilatticeInf.toParti...
true
Std.Tactic.BVDecide.BVExpr.bitblast.denote_blastRotateLeft._proof_4
Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Operations.RotateLeft
[ "HSub.hSub", "Nat.instMod", "instHMod", "instSubNat", "_private.Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Operations.RotateLeft.0.Std.Tactic.BVDecide.BVExpr.bitblast.denote_blastRotateLeft._proof_3", "HMod.hMod", "instHSub", "Std.Sat.AIG", "Nat", "LT.lt", "Decidable.byContradiction", ...
false
RCLike.sqrt_eq_ite
Mathlib.Analysis.RCLike.Sqrt
[ "NormedCommRing.toNormedRing", "AddGroup.toSubtractionMonoid", "Norm.norm", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "NegZeroClass.toNeg", "NormedCommRing.toSeminormedCommRing", "NonAssocSemiring.toAddCommMonoidWithOne", "False", "Real.instLE", "Real", "Preorder.toLT", "instHDiv", "NonU...
true
CategoryTheory.Arrow.cechNerve
Mathlib.AlgebraicTopology.CechNerve
[ "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.mk", "CategoryTheory.Limits.widePullback", "PartialOrder.toPreorder", "Quiver.Hom.unop", "CategoryTheory.Arrow.cechNerve._proof_1", "CategoryTheory.Arrow.left", "CategoryTheory.Arrow.hom", "instOfNatNat",...
true
CategoryTheory.Functor.IsWellOrderContinuous.restriction_setIci
Mathlib.CategoryTheory.Limits.Shapes.Preorder.WellOrderContinuous
[ "Eq.mpr", "le_refl", "CategoryTheory.Functor", "Preorder.toLT", "Lattice.toSemilatticeSup", "_private.Mathlib.CategoryTheory.Limits.Shapes.Preorder.WellOrderContinuous.0.CategoryTheory.Functor.IsWellOrderContinuous.restriction_setIci._simp_3", "Set.Ici", "Order.IsSuccPrelimit", "congrArg", "Linear...
true
AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.toSheafedSpace
Mathlib.Geometry.RingedSpace.OpenImmersion
[ "AlgebraicGeometry.SheafedSpace", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.toSheafedSpace._proof_1", "AlgebraicGeometry.SheafedSpace.mk", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion", "CategoryTheory.Category.toCategoryStruct", "...
true
Lean.MonadResolveName.mk._flat_ctor
Lean.ResolveName
[ "List", "Lean.MonadResolveName", "Lean.MonadResolveName.mk", "Lean.Name", "Lean.OpenDecl" ]
false
AddCommGrpCat.coyonedaType._proof_3
Mathlib.Algebra.Category.Grp.Yoneda
[ "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "AddCommGrpCat.instCategory", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "CategoryTheory.Functor.mk", "AddMonoid.toAddZeroClass", "Quiver.Hom.unop", "TypeCat.instFunLikeFun", "AddCommGroup.toAddGroup", "AddZeroClass.toAddZero", "i...
false
Isometry.comp_continuousOn_iff
Mathlib.Topology.MetricSpace.Isometry
[ "Function.comp", "IsUniformInducing.isInducing", "PseudoEMetricSpace", "TopologicalSpace", "Iff", "PseudoEMetricSpace.toUniformSpace", "ContinuousOn", "Isometry.isUniformInducing", "Topology.IsInducing.continuousOn_iff", "UniformSpace.toTopologicalSpace", "Iff.symm", "Isometry", "Set" ]
true
CategoryTheory.CostructuredArrow.prodInverse._proof_2
Mathlib.CategoryTheory.Comma.StructuredArrow.Basic
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.CostructuredArrow.hom", "CategoryTheory.CategoryStruct.id", "id", "CategoryTheory.CostructuredArrow", "Prod.mk", "CategoryTheory.Functor.prod", "CategoryTheory.CostructuredArrow.homMk", "Prod.fst", ...
false
Lean.Parser.Attr.export._regBuiltin.Lean.Parser.Attr.export.declRange_3
Lean.Parser.Attr
[ "Lean.addBuiltinDeclarationRanges", "Lean.DeclarationRange.mk", "IO", "instOfNatNat", "Unit", "Lean.Position.mk", "Nat", "OfNat.ofNat", "Lean.DeclarationRanges.mk", "Lean.Name.mkStr4" ]
false
ConvexOn.integrable_apply_rnDeriv_of_integrable_compProd
Mathlib.MeasureTheory.Measure.Decomposition.IntegralRNDeriv
[ "NormedCommRing.toNormedRing", "Real.instIsOrderedRing", "Eq.mpr", "Unit.unit", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "Ioi_mem_nhds", "instClosedIicTopology", "Real.partialOrder", "Real.instLE", "ProbabilityTheory.IsZeroOrMarkovKernel.isFiniteKernel", "Real"...
true
Metric.isPreconnected_ball
Mathlib.Analysis.Normed.Module.Connected
[ "Real", "NormedSpace.toIsBoundedSMul", "NormedSpace", "Real.instZero", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "IsBoundedSMul.continuousSMul", "AddZeroCl...
true
_private.Mathlib.Analysis.Seminorm.0.Seminorm.neg_mem_closedBall_zero._simp_1_1
Mathlib.Analysis.Seminorm
[ "Real.instLE", "Real", "Seminorm.mem_closedBall_zero", "SMul", "AddCommGroup.toAddGroup", "Membership.mem", "AddCommGroup", "Seminorm.closedBall", "Seminorm", "SubtractionMonoid.toSubNegZeroMonoid", "LE.le", "SubNegZeroMonoid.toNegZeroClass", "SubtractionCommMonoid.toSubtractionMonoid", "S...
false
Module.instFinitePolynomialAEval'
Mathlib.Algebra.Polynomial.Module.AEval
[ "Module.AEval'._proof_2", "instSMulOfMul", "Module.End.applyModule", "CommSemiring.toSemiring", "Module.End.instSemiring", "Module.AEval'", "inferInstance", "Module.AEval.instAddCommMonoid", "Module.AEval.instModulePolynomial", "LinearMap", "Polynomial", "Module.AEval.mapSubmodule._proof_2", ...
true
Real.sin_nonpos_of_nonpos_of_neg_pi_le
Mathlib.Analysis.SpecialFunctions.Trigonometric.Basic
[ "Iff.mpr", "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "Real.instLE", "Real", "Real.pi", "neg_le", "Real.instZero", "covariant_swap_add_of_covariant_add", "Real.sin_nonneg_of_nonneg_of_le_pi", "Eq.rec", "Real.sin_neg", "Real.instAddGroup", "SubtractionMonoid.toSubNegZeroMonoid", ...
true
Array.sum_div_length_le_max_of_max?_eq_some_int
Init.Data.Array.Int
[ "List.sum_toArray", "Eq.mpr", "Int.instDiv", "instHDiv", "congrArg", "Int.instMax", "Array.sum", "List.sum", "Zero.ofOfNat0", "Option.some", "Eq.mp", "Array.casesOn", "id", "HDiv.hDiv", "Array.max?", "Int", "LE.le", "List.max?", "Nat.cast", "Array", "List", "List.size_toArr...
true
AddGroup.fintypeOfKerOfCodom._proof_2
Mathlib.GroupTheory.QuotientGroup.Finite
[ "AddSubgroup.instCompleteLattice", "AddSubgroup.topEquiv", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "AddSubgroup.instPartialOrder", "AddEquiv.toAddMonoidHom", "AddGroup.fintypeOfKerOfCodom._proof_1", "Preorder.toLE", "AddSubgroup.inclusion", "AddSubgroup.toAddGroup", "Membership.me...
false
Lean.Parser.registerAlias
Lean.Parser.Extension
[ "Lean.NameMap", "Lean.Parser.registerAliasCore", "Lean.Parser.ParserAliasValue", "Lean.Parser.Parser", "IO.instMonadLiftSTRealWorldBaseIO", "ST.Ref.modify", "instMonadLiftT", "IO", "Option.some", "IO.RealWorld", "instOfNatNat", "instMonadEIO", "Lean.Parser.parserAlias2kindRef", "Lean.Name....
true
Vector.isEqv_self
Init.Data.Vector.DecidableEq
[ "Vector.isEqv", "Vector", "congrArg", "Vector.mk_isEqv_mk", "Array.isEqv", "Vector.casesOn", "Eq.rec", "Array", "Bool.true", "Array.isEqv_self", "Vector.mk", "Nat", "True", "eq_self", "Bool", "of_eq_true", "Eq.refl", "congrFun'", "Decidable.decide", "Eq", "Array.size", "Eq....
true
Std.ExtDHashMap.Const.getD_insertIfNew
Std.Data.ExtDHashMap.Lemmas
[ "Std.ExtDHashMap.Const.getD", "instDecidableNot", "Std.ExtDHashMap.instMembershipOfEquivBEqOfLawfulHashable", "Std.DHashMap.Const.getD_insertIfNew", "Std.ExtDHashMap.instDecidableMem", "Membership.mem", "instDecidableEqBool", "Std.ExtDHashMap.inductionOn", "LawfulHashable", "Std.ExtDHashMap.insert...
true
Aesop.UnsafeQueueEntry
Aesop.Tree.UnsafeQueue
[ "Aesop.UnsafeQueueEntry.unsafeRule", "Aesop.UnsafeQueueEntry.postponedSafeRule" ]
true
Lean.Doc.Data.Attribute._sizeOf_inst
Lean.Elab.DocString.Builtin
[ "Lean.Doc.Data.Attribute", "SizeOf.mk", "Lean.Doc.Data.Attribute._sizeOf_1", "SizeOf" ]
false
_private.Mathlib.NumberTheory.LucasLehmer.0.mersenne_mod_three._proof_1_2
Mathlib.NumberTheory.LucasLehmer
[ "Lean.RArray.leaf", "False", "HMul.hMul", "congrArg", "Classical.byContradiction", "Nat.Linear.ExprCnstr.eq_true_of_isValid", "Nat.Linear.Expr.mulL", "id", "False.casesOn", "instMulNat", "instOfNatNat", "Nat.Linear.Expr.num", "Bool.true", "instHAdd", "HAdd.hAdd", "Nat", "True", "Bo...
false
_private.Mathlib.RingTheory.FractionalIdeal.Norm.0.FractionalIdeal.absNorm_span_singleton._simp_1_5
Mathlib.RingTheory.FractionalIdeal.Norm
[ "Ideal.mem_span_singleton'", "Semiring.toModule", "HMul.hMul", "Membership.mem", "Exists", "Set.instSingletonSet", "Ideal", "instDistribOfSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "Distrib.toMul", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "Submodule.setLike", "propext", ...
false
Lean.instToExprLiteral
Lean.ToExpr
[ "String", "Lean.Name.mkStr3", "Lean.Expr", "Lean.Level", "Lean.Literal", "Lean.mkConst", "Nat", "Lean.Name.mkStr2", "Lean.ToExpr.mk", "Lean.mkApp", "Lean.instToExprLiteral.match_1", "Lean.ToExpr", "Lean.Expr.lit", "List.nil" ]
true
PiLp.edist_eq_card
Mathlib.Analysis.Normed.Lp.PiLp
[ "Real", "instHDiv", "Finset.univ", "LinearOrder.toDecidableEq", "ENNReal.instAddCommMonoid", "iSup", "ENNReal.instPowReal", "Subtype.finite", "Real.instDivInvMonoid", "setOf", "Membership.mem", "PiLp", "HDiv.hDiv", "AddMonoidWithOne.toNatCast", "Ne", "AddCommMonoidWithOne.toAddMonoidWi...
true
Projectivization.mulHeight
Mathlib.NumberTheory.Height.Projectivization
[ "Pi.Function.module", "Real", "Semiring.toModule", "_private.Mathlib.NumberTheory.Height.Projectivization.0.Projectivization.mulHeight_aux", "Finite", "Field.toDivisionRing", "DivisionRing.toDivisionSemiring", "Height.AdmissibleAbsValues", "Subtype", "Ne", "DivisionRing.toRing", "SubtractionMo...
true
_private.Mathlib.CategoryTheory.Types.Basic.0.TypeCat.Hom.mk.noConfusion
Mathlib.CategoryTheory.Types.Basic
[ "TypeCat.Hom.noConfusion", "TypeCat.Hom", "_private.Mathlib.CategoryTheory.Types.Basic.0.TypeCat.Hom.mk", "id", "heq_of_eq", "TypeCat.Fun", "Eq.refl", "HEq", "Eq" ]
false
add_tsub_le_tsub_add
Mathlib.Algebra.Order.Sub.Defs
[ "Eq.mpr", "add_tsub_le_assoc", "congrArg", "HSub.hSub", "AddLeftMono", "Preorder.toLE", "id", "OrderedSub", "LE.le", "add_comm", "instHAdd", "instHSub", "HAdd.hAdd", "AddCommSemigroup.toAddCommMagma", "AddCommSemigroup", "Eq", "Preorder", "AddCommMagma.toAdd", "Sub" ]
true
CategoryTheory.Center.isoMk
Mathlib.CategoryTheory.Monoidal.Center
[ "CategoryTheory.IsIso", "Quiver.Hom", "CategoryTheory.HalfBraiding", "CategoryTheory.Center.isoMk._proof_3", "CategoryTheory.MonoidalCategory", "CategoryTheory.Center.instCategory", "CategoryTheory.Center.isoMk._proof_5", "CategoryTheory.Iso", "Sigma.fst", "CategoryTheory.Iso.mk", "CategoryTheor...
true
_private.Mathlib.RingTheory.RootsOfUnity.Complex.0.Complex.mem_rootsOfUnity._simp_1_4
Mathlib.RingTheory.RootsOfUnity.Complex
[ "False", "HMul.hMul", "eq_false", "Mul", "Ne", "NoZeroDivisors", "Zero.toOfNat0", "mul_ne_zero", "OfNat.ofNat", "Eq", "instHMul", "Zero" ]
false
Diffeomorph.boundarylessManifold
Mathlib.Geometry.Manifold.IsManifold.InteriorBoundary
[ "Diffeomorph.symm", "NormedSpace", "CommSemiring.toSemiring", "IsLocalDiffeomorph.boundarylessManifold", "Diffeomorph.isLocalDiffeomorph", "Diffeomorph", "Ne", "TopologicalSpace", "ModelWithCorners", "Diffeomorph.instEquivLike", "ENat", "instCommSemiringENat", "NontriviallyNormedField", "Z...
true
_private.Lean.Server.FileWorker.SemanticHighlighting.0.Lean.Server.FileWorker.collectVersoTokens.tok
Lean.Server.FileWorker.SemanticHighlighting
[ "_private.Lean.Server.FileWorker.SemanticHighlighting.0.Lean.Server.FileWorker.collectVersoTokens.go.match_1", "Array.push", "modify", "Lean.Syntax", "Lean.Lsp.SemanticTokenType", "instOfNatNat", "Lean.Server.FileWorker.LeanSemanticToken.mk", "Id", "Lean.Server.FileWorker.LeanSemanticToken", "Arra...
true
Nat.getElem_toArray_roo
Init.Data.Range.Polymorphic.NatLemmas
[ "Nat.getElem_toArray_rco", "Std.Rco.toArray", "congrArg", "GetElem.getElem.congr_simp", "Std.PRange.instIsAlwaysFiniteNat_1", "instOfNatNat", "Array", "GetElem.getElem", "instHAdd", "Nat.add_left_cancel_iff._simp_1", "Array.instGetElemNatLtSize", "HAdd.hAdd", "Std.PRange.instUpwardEnumerable...
true
_private.Mathlib.CategoryTheory.ComposableArrows.Basic.0.CategoryTheory.ComposableArrows.map'_inv_eq_inv_map'._proof_1
Mathlib.CategoryTheory.ComposableArrows.Basic
[ "Nat.lt_of_not_le", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.ev...
false
Setoid.comap
Mathlib.Data.Setoid.Basic
[ "Function.onFun", "Setoid", "Setoid.comap._proof_1", "Setoid.mk", "Setoid.r" ]
true
UniformConcaveOn.concaveOn
Mathlib.Analysis.Convex.Strong
[ "Real.partialOrder", "Real.instLE", "Real", "instSMulOfMul", "NormedSpace", "Real.instZero", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "AddCommGroup.toAddGroup", "AddZeroClass.toAddZero", "Real.semiring", "Eq.mp", ...
true
AlgebraicGeometry.Scheme.IdealSheafData.glueDataT._proof_7
Mathlib.AlgebraicGeometry.IdealSheaf.Subscheme
[ "RingHom.ker.congr_simp", "AlgebraicGeometry.Scheme.Hom.opensFunctor", "Eq.mpr", "AlgebraicGeometry.IsAffineOpen.isoSpec", "CategoryTheory.Category.assoc", "CategoryTheory.Limits.pullback", "Submodule", "RingHom.instRingHomClass", "AlgebraicGeometry.Spec", "AlgebraicGeometry.SheafedSpace.instTopol...
false
Lean.Meta.Sym.getMatch
Lean.Meta.Sym.Simp.DiscrTree
[ "Array.mkEmpty", "_private.Lean.Meta.Sym.Simp.DiscrTree.0.Lean.Meta.Sym.getKey", "Lean.Meta.DiscrTree.instHashableKey", "Lean.Meta.Sym.etaReduce", "Lean.Meta.DiscrTree.Key.star", "Lean.Meta.DiscrTree.instBEqKey", "Lean.Expr", "_private.Lean.Meta.Sym.Simp.DiscrTree.0.Lean.Meta.Sym.initCapacity", "Lea...
true
UInt64.not_eq_neg_sub
Init.Data.UInt.Bitwise
[ "UInt64.instOfNat", "UInt64", "HSub.hSub", "UInt64.toBitVec_inj", "BitVec", "instOfNatNat", "instHSub", "BitVec.not_eq_neg_add", "Nat", "instSubUInt64", "Complement.complement", "Iff.mp", "instComplementUInt64", "OfNat.ofNat", "Eq", "Neg.neg", "instNegUInt64", "UInt64.toBitVec" ]
true
_private.Mathlib.Analysis.Calculus.BumpFunction.FiniteDimension.0.ExistsContDiffBumpBase.y_smooth._simp_1_7
Mathlib.Analysis.Calculus.BumpFunction.FiniteDimension
[ "instHDiv", "HMul.hMul", "DivisionCommMonoid.toDivisionMonoid", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "DivisionCommMonoid", "DivisionMonoid.toDivInvOneMonoid", "MulOne.toMul", "HDiv.hDiv", "DivInvMonoid.toMonoid", "DivisionMonoid.toDivInvMonoid", "MulOneClass.toMulOne", "I...
false
PrincipalSeg.isMin_apply_iff
Mathlib.Order.InitialSeg
[ "Preorder.toLT", "PrincipalSeg", "PartialOrder.toPreorder", "PrincipalSeg.toRelEmbedding", "Preorder.toLE", "PartialOrder", "PrincipalSeg.mem_range_of_rel", "RelEmbedding", "Iff", "instIsTransLt", "LT.lt", "InitialSeg.mk", "DFunLike.coe", "IsMin", "RelEmbedding.instFunLike", "InitialSe...
true
CategoryTheory.NatTrans.mapHomologicalComplex_id
Mathlib.Algebra.Homology.Additive
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Functor", "HomologicalComplex.instCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "HomologicalComplex", "CategoryTheory.CategoryStruct.id", "id", "ComplexShape", "CategoryTheory.NatTra...
true
PiTensorProduct.congr_symm_tprod
Mathlib.LinearAlgebra.PiTensorProduct
[ "PiTensorProduct.instModule", "LinearEquiv.symm", "congrArg", "CommSemiring.toSemiring", "PiTensorProduct.instAddCommMonoid", "MultilinearMap", "PiTensorProduct.tprod", "AddCommMonoid", "PiTensorProduct.lift._proof_3", "CommSemiring", "PiTensorProduct.map_tprod", "LinearEquiv.toLinearMap", "...
true
le_of_forall_lt_imp_ne
Mathlib.Order.Basic
[ "Preorder.toLT", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "le_of_not_gt", "Ne", "LE.le", "LT.lt", "LinearOrder.toPartialOrder", "rfl" ]
true
MeasureTheory.IsFundamentalDomain.setIntegral_eq_tsum
Mathlib.MeasureTheory.Group.FundamentalDomain
[ "Real", "instHSMul", "Trans.trans", "MeasureTheory.Measure", "InvOneClass.toOne", "DivInvOneMonoid.toInvOneClass", "NormedSpace", "congrArg", "AddCommGroup.toAddCommMonoid", "SummationFilter", "PseudoMetricSpace.toUniformSpace", "Group", "Group.toDivisionMonoid", "DivisionMonoid.toDivInvOn...
true
mul_eq_zero_of_ne_zero_imp_eq_zero
Mathlib.Algebra.GroupWithZero.Basic
[ "Eq.mpr", "HMul.hMul", "MulZeroClass.toMul", "congrArg", "MulZeroClass.zero_mul", "Decidable", "Classical.propDecidable", "MulZeroClass", "id", "Ne", "dite", "MulZeroClass.mul_zero", "Zero.toOfNat0", "Eq.refl", "OfNat.ofNat", "Eq", "Not", "MulZeroClass.toZero", "instHMul" ]
true
Nat.Partition.oddDistincts
Mathlib.Combinatorics.Enumerative.Partition.Basic
[ "Nat.Partition.odds", "Finset", "Inter.inter", "Finset.instInter", "Nat.Partition", "Nat", "Nat.Partition.distincts", "Nat.instDecidableEqPartition" ]
true
Real.exp_one_gt_d9
Mathlib.Analysis.Complex.ExponentialBounds
[ "NormedCommRing.toNormedRing", "Int.cast", "Real.instNNRatCast", "NonAssocSemiring.toAddCommMonoidWithOne", "Real", "NNRatCast.toOfScientific", "instHDiv", "Mathlib.Meta.NormNum.IsNat.to_isNNRat", "GroupWithZero.toDivisionMonoid", "NormedRing.toRing", "HMul.hMul", "DivInvOneMonoid.toInvOneClas...
true
Lean.Meta.UnificationHints.discrTree._default
Lean.Meta.UnificationHint
[ "id", "Lean.Meta.DiscrTree.empty", "Lean.Meta.DiscrTree", "Lean.Name" ]
false
Std.Http.Method.mkworkspace
Std.Internal.Http.Data.Method
[ "Std.Http.Method", "Std.Http.Method.mkworkspace" ]
true
_private.Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Formula.0.WeierstrassCurve.Affine.cyclic_sum_Y_mul_X_sub_X._simp_1_7
Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Formula
[ "False", "eq_false", "AddMonoid.toAddSemigroup", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "AddMonoidWithOne.toNatCast", "Nat.cast", "CharZero", "Nat.cast_add_one_ne_zero", "AddMonoidWithOne.toOne", "AddZero.toZero", "instHAdd", "AddSemigroup.toAdd", "HAdd.hAdd", "Nat", "On...
false
instNonUnitalCommCStarAlgebraSubtypeMemNonUnitalStarSubalgebraComplexElementalOfIsStarNormal._proof_8
Mathlib.Analysis.CStarAlgebra.Classes
[ "NonUnitalCStarAlgebra.toStarModule", "NormedCommRing.toSeminormedCommRing", "NonUnitalCStarAlgebra.toNonUnitalNormedRing", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "AddMonoid.toAddSemigroup", "NonUnitalCStarAlgebra.toCStarRing", "CommSemiring.toSemiring", ...
false
_private.Lean.Compiler.LCNF.FixedParams.0.Lean.Compiler.LCNF.FixedParams.isEquivalentFunDecl?._sparseCasesOn_7
Lean.Compiler.LCNF.FixedParams
[ "Lean.Compiler.LCNF.LetValue.reuse", "Lean.Compiler.LCNF.Arg", "Lean.Compiler.LCNF.LetValue.pap", "Nat.ne_of_beq_eq_false", "Lean.Compiler.LCNF.LitValue", "Lean.Compiler.LCNF.LetValue.oproj", "Lean.Compiler.LCNF.LetValue.rec", "Lean.Compiler.LCNF.LetValue", "Nat.shiftRight", "Lean.Compiler.LCNF.Le...
false
CategoryTheory.Abelian.Ext.comp_add
Mathlib.Algebra.Homology.DerivedCategory.Ext.Basic
[ "CategoryTheory.Abelian.Ext.hom'", "instCategoryDerivedCategory", "DerivedCategory", "CategoryTheory.Abelian.Ext.ext", "CategoryTheory.ShiftedHom.comp_add", "congrArg", "AddCommGroup.toAddCommMonoid", "CategoryTheory.Abelian.Ext.instAddCommGroup", "CategoryTheory.shiftFunctor", "CategoryTheory.Abe...
true
_private.Init.Data.UInt.Lemmas.0.USize.zero_lt_one._simp_1_1
Init.Data.UInt.Lemmas
[ "USize.toNat", "Nat", "LT.lt", "instLTUSize", "propext", "instLTNat", "Eq", "USize", "USize.lt_iff_toNat_lt" ]
false
_private.Mathlib.Tactic.Linter.TextBased.0.Mathlib.Linter.TextBased.unicodeLinter.match_3
Mathlib.Tactic.Linter.TextBased
[ "_private.Mathlib.Tactic.Linter.TextBased.0.Mathlib.Linter.TextBased.StyleError.unwantedUnicode", "_private.Mathlib.Tactic.Linter.TextBased.0.Mathlib.Linter.TextBased.StyleError.unicodeVariant", "_private.Mathlib.Tactic.Linter.TextBased.0.Mathlib.Linter.TextBased.StyleError", "String", "Nat.hasNotBit", "C...
false
_private.Lean.Elab.Structure.0.Lean.Elab.Command.Structure.StructFieldKind.isParent.match_1
Lean.Elab.Structure
[ "Lean.Elab.Command.Structure.StructFieldKind.otherParent", "Lean.Elab.Command.Structure.StructFieldKind.ctorIdx", "_private.Lean.Elab.Structure.0.Lean.Elab.Command.Structure.StructFieldKind.isParent._sparseCasesOn_1", "Nat.hasNotBit", "Lean.Elab.Command.Structure.StructFieldKind", "Lean.Name", "Lean.Ela...
false
Subrepresentation.coe_inf
Mathlib.RepresentationTheory.Subrepresentation
[ "Monoid", "Representation", "Subrepresentation.instMin", "Subrepresentation", "Set.instInter", "AddCommMonoid", "Inter.inter", "SetLike.coe", "Subrepresentation.instSetLike", "Semiring", "Module", "Eq", "Min.min", "rfl", "Set" ]
true