name
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2
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6
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2 classes
_private.Mathlib.Tactic.Simproc.FinsetInterval.0.Mathlib.Tactic.Simp.evalFinsetIccNat._unary._proof_1
Mathlib.Tactic.Simproc.FinsetInterval
[ "Qq.QuotedDefEq", "Lean.Expr.const", "Lean.Expr.sort", "Lean.Level", "Qq.Quoted", "Lean.Level.zero", "Qq.Quoted.unsafeMk", "Lean.Level.succ", "Lean.Name.mkStr1", "Qq.QuotedDefEq.unsafeIntro", "List.nil" ]
false
OrderIso.mapSetOfMaximal._proof_7
Mathlib.Order.Minimal
[ "setOf", "Preorder.toLE", "Membership.mem", "Set.Elem", "OrderIso", "LE.le", "OrderIso.symm", "Subtype.mk", "instFunLikeOrderIso", "And.left", "OrderIso.mapSetOfMaximal._proof_3", "Maximal", "Subtype.val", "Set.instMembership", "DFunLike.coe", "Preorder", "Subtype.property", "Order...
false
DedekindCut.instCompleteLinearOrder._proof_12
Mathlib.Order.Completion
[ "Lattice.toSemilatticeSup", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "inferInstance", "DistribLattice.toLattice", "GeneralizedHeytingAlgebra.toHImp", "DedekindCut.instCompleteLinearOrder._proof_11", "BiheytingAlgebra.toHeytingAlgebra", "Dedekind...
false
Lean.Server.Test.Runner.processInteractiveDiagnostics
Lean.Server.Test.Runner
[ "Lean.Lsp.DiagnosticWith.relatedInformation?", "Pure.pure", "Lean.Server.Test.Runner.Client.HighlightedMsgEmbed", "Lean.Server.Test.Runner.Client.instToJsonMsgEmbed", "Lean.Server.Test.Runner.Client.NormalizeState", "Unit.unit", "Lean.Lsp.instFromJsonDiagnosticWith", "Lean.Lsp.DiagnosticWith.source?",...
true
contDiff_mul
Mathlib.Analysis.Calculus.ContDiff.Operations
[ "NormedCommRing.toSeminormedCommRing", "Algebra.to_smulCommClass", "Prod.normedSpace", "NormedRing.toRing", "NormedSpace.toIsBoundedSMul", "HMul.hMul", "UniformContinuousConstSMul.to_continuousConstSMul", "Prod.normedAddCommGroup", "IsScalarTower.right", "ContinuousLinearMap.topologicalSpace", "...
true
ONote.repr._f
Mathlib.SetTheory.Ordinal.Notation
[ "PNat.val", "ONote.below", "HMul.hMul", "Ordinal.omega0", "MulZeroClass.toMul", "ONote.oadd", "ONote.zero", "AddMonoidWithOne.toNatCast", "Nat.cast", "Ordinal.addMonoidWithOne", "instHAdd", "Unit", "MonoidWithZero.toMulZeroOneClass", "HPow.hPow", "HAdd.hAdd", "Ordinal.zero", "ONote.r...
false
Lean.Compiler.LCNF.Simp.inlineApp?
Lean.Compiler.LCNF.Simp.Main
[ "Lean.Compiler.LCNF.Simp.DiscrM", "Inhabited.default", "instInhabitedOfMonad", "ReaderT.instMonad", "IO.RealWorld", "Lean.Compiler.LCNF.Purity.pure", "Lean.Compiler.LCNF.Simp.SimpM", "Lean.Compiler.LCNF.Simp.DiscrM.Context", "Lean.Compiler.LCNF.Code", "instInhabitedOption", "StateRefT'", "Lean...
true
CategoryTheory.MonObj.mul_def
Mathlib.CategoryTheory.Monoidal.Mon
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.MonoidalCategoryStruct.leftUnitor", "CategoryTheory.MonObj.instTensorUnit", "CategoryTheory.MonoidalCategoryStruct.tensorObj", "CategoryTheory.MonoidalCategoryStruct.tensorUnit", "Eq.refl", "Ca...
true
KummerExtension.«_aux_Mathlib_FieldTheory_KummerExtension___delab_app_KummerExtension_termK[_√_]_1»
Mathlib.FieldTheory.KummerExtension
[ "Pure.pure", "Lean.MonadRef.mkInfoFromRefPos", "Mathlib.Notation3.MatchState.empty", "Mathlib.Notation3.withHeadRefIfTagAppFns", "Mathlib.Notation3.matchApp", "Lean.PrettyPrinter.Delaborator.instMonadReaderOfSubExprDelabM", "Lean.SourceInfo", "Lean.PrettyPrinter.Delaborator.Context", "Lean.Meta.Stat...
false
Lean.EnvExtension.AsyncMode.ctorElim
Lean.Environment
[ "Lean.EnvExtension.AsyncMode.sync", "Lean.AsyncBranch", "Lean.EnvExtension.AsyncMode.local", "Lean.EnvExtension.AsyncMode.casesOn", "Lean.EnvExtension.AsyncMode", "Lean.EnvExtension.AsyncMode.ctorElimType", "Lean.EnvExtension.AsyncMode.ctorIdx", "Nat", "Eq.ndrec", "Lean.EnvExtension.AsyncMode.main...
false
Finsupp.instNonUnitalCommRing._proof_3
Mathlib.Data.Finsupp.Pointwise
[ "Finsupp.instFunLike", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "AddMonoid.toAddZeroClass", "NonUnitalNonAssocRing.toAddCommGroup", "AddCommGroup.toAddGroup", "AddZeroClass.toAddZero", "NonUnitalCommRing", "AddZero.toZero", "Finsupp.coe_add", "instHAdd", "Finsupp.instAdd", "Pi.instAdd"...
false
OpenPartialHomeomorph.replaceEquiv._proof_1
Mathlib.Topology.OpenPartialHomeomorph.Defs
[ "OpenPartialHomeomorph.open_source", "PartialEquiv", "Eq.rec", "TopologicalSpace", "PartialEquiv.source", "IsOpen", "OpenPartialHomeomorph.toPartialEquiv", "Eq", "OpenPartialHomeomorph" ]
false
_private.Lean.Meta.Tactic.Grind.Arith.Cutsat.LeCnstr.0.Lean.Meta.Grind.Arith.Cutsat.reportNonNormalized
Lean.Meta.Tactic.Grind.Arith.Cutsat.LeCnstr
[ "Lean.Meta.Grind.GrindM", "Lean.MessageData", "Lean.Meta.Grind.Goal", "Lean.Meta.Grind.State", "ReaderT", "Lean.Meta.Sym.reportIssueIfVerbose", "String", "instMonadLiftT", "Lean.Meta.Sym.Context", "Lean.MessageData.instAppend", "Lean.Meta.Grind.Context", "Lean.Expr", "Lean.Meta.MetaM", "IO...
true
List.dropPrefix?._unsafe_rec
Batteries.Data.List.Basic
[ "List.dropPrefix?.match_1", "Option.some", "instDecidableEqBool", "Bool.true", "Option.none", "List", "BEq.beq", "Bool", "List.dropPrefix?._unsafe_rec", "BEq", "Eq", "Option", "ite" ]
false
_private.Mathlib.RingTheory.Ideal.Quotient.Nilpotent.0.Ideal.Quotient.isUnit_mk_pow_iff_isUnit_mk._simp_1_1
Mathlib.RingTheory.Ideal.Quotient.Nilpotent
[ "Semiring.toModule", "IsScalarTower.right", "CommSemiring.toSemiring", "Algebra.id", "Ideal.map", "Ideal", "CommSemiring", "HPow.hPow", "Nat", "instHPow", "Eq.symm", "Semiring.toNonAssocSemiring", "Eq", "Ideal.map_pow", "Submodule.instPowNat", "FunLike", "RingHomClass" ]
false
_private.Mathlib.GroupTheory.Perm.Finite.0.Equiv.Perm.Disjoint.isConj_mul._simp_1_2
Mathlib.GroupTheory.Perm.Finite
[ "Exists", "exists_eq_right", "And", "propext", "Eq" ]
false
AddSubgroup.index_eq_two_iff'
Mathlib.GroupTheory.Index
[ "neg_add_rev", "AddGroup.toSubtractionMonoid", "Eq.mpr", "SubtractionMonoid.toInvolutiveNeg", "neg_mem_iff", "Equiv.instEquivLike", "congrArg", "AddSubgroup.index", "Equiv.neg", "Iff.rfl", "AddMonoid.toAddZeroClass", "Xor", "Membership.mem", "Exists", "AddZeroClass.toAddZero", "id", ...
true
Fin.consLinearEquiv._proof_5
Mathlib.LinearAlgebra.Pi
[ "instNeZeroNatHAdd_1", "instHSMul", "Pi.addCommMonoid", "Fin.succ", "DistribMulAction.toDistribSMul", "Pi.module", "AddMonoid.toAddZeroClass", "RingHom", "AddZeroClass.toAddZero", "Fin.instOfNat", "DistribSMul.toSMulZeroClass", "instOfNatNat", "Equiv.toFun", "AddCommMonoid", "AddZero.toZ...
false
PowerSeries.intValuation_eq_of_coe
Mathlib.RingTheory.LaurentSeries
[ "Polynomial.instNormalizationMonoid", "UniqueFactorizationMonoid.normalizedFactors", "Iff.mpr", "Eq.mpr", "Int.instAddCommMonoid", "Associates.mk", "Multiplicative.linearOrder", "False", "Int.instIsStrictOrderedRing", "IsDomain.to_noZeroDivisors", "MvPowerSeries.instZero", "NonUnitalCommRing.t...
true
FractionalIdeal.adjoinIntegral_eq_one_of_isUnit
Mathlib.RingTheory.DedekindDomain.Ideal.Basic
[ "Iff.mpr", "FractionalIdeal.adjoinIntegral", "Eq.mpr", "Submodule", "IsDomain", "Semigroup.toMul", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "IsScalarTower.right", "CommRing.toNonUnitalCommRing", "CommSemiring.toNonUnitalCommSemiring", "congrArg", "CommSemir...
true
TopologicalSpace.Opens.comap_id
Mathlib.Topology.Sets.Opens
[ "FrameHom.ext", "FrameHom", "TopologicalSpace.Opens.instCompleteLattice", "TopologicalSpace.Opens", "TopologicalSpace.Opens.ext", "TopologicalSpace.Opens.instSetLike", "TopologicalSpace", "ContinuousMap.id", "TopologicalSpace.Opens.comap", "SetLike.coe", "FrameHom.instFunLike", "Eq", "DFunLi...
true
_private.Init.Data.List.Sublist.0.List.cons_subset._simp_1_2
Init.Data.List.Sublist
[ "Membership.mem", "List.cons", "List", "List.instMembership", "propext", "Or", "List.mem_cons", "Eq" ]
false
le_nhds_add
Mathlib.Topology.Algebra.Monoid
[ "Filter.instAdd", "Eq.mpr", "SProd.sprod", "congrArg", "Filter.map", "PartialOrder.toPreorder", "instTopologicalSpaceProd", "Preorder.toLE", "nhds", "id", "Prod.mk", "LE.le", "Prod.fst", "Continuous.tendsto", "TopologicalSpace", "instHAdd", "HAdd.hAdd", "Filter.map_uncurry_prod", ...
true
String.utf8EncodeChar_eq_cons_cons_cons_cons
Init.Data.String.Decode
[ "UInt32.toUInt8", "Eq.mpr", "False", "instHOrOfOrOp", "UInt8.instOfNat", "and_true", "congrArg", "False.elim", "String.utf8EncodeChar_eq_utf8EncodeCharFast", "eq_false_of_decide", "instInhabitedTrue", "noConfusion_of_Nat", "instOrOpUInt8", "List.ne_cons_self._simp_1", "id", "Char.toUIn...
true
LipschitzWith.isBounded_image
Mathlib.Topology.MetricSpace.Lipschitz
[ "Bornology.IsBounded.image", "LipschitzWith", "LocallyBoundedMap.instFunLike", "LocallyBoundedMap.instLocallyBoundedMapClass", "PseudoMetricSpace.toBornology", "NNReal", "Bornology.IsBounded", "LocallyBoundedMap", "PseudoMetricSpace", "Set.image", "LipschitzWith.toLocallyBoundedMap", "PseudoMe...
true
CategoryTheory.Limits.WalkingMulticospan.Hom.snd.elim
Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer
[ "CategoryTheory.Limits.MulticospanShape.snd", "PULift.up", "CategoryTheory.Limits.WalkingMulticospan.Hom.ctorIdx", "CategoryTheory.Limits.WalkingMulticospan.Hom", "CategoryTheory.Limits.WalkingMulticospan.Hom.ctorElim", "CategoryTheory.Limits.WalkingMulticospan.right", "Nat", "CategoryTheory.Limits.Wa...
false
List.disjoint_of_disjoint_append_right_left
Batteries.Data.List.Lemmas
[ "List.Disjoint", "instHAppendOfAppend", "List", "And", "List.disjoint_append_right", "And.left", "Iff.mp", "List.instAppend", "HAppend.hAppend" ]
true
QuotientAddGroup.sound
Mathlib.GroupTheory.QuotientGroup.Basic
[ "AddGroup.toSubtractionMonoid", "Set.ext", "Eq.mpr", "NegZeroClass.toNeg", "AddMonoid.toAddSemigroup", "outParam", "congrArg", "HEq.refl", "AddMonoid.toAddZeroClass", "AddSubgroup.toAddGroup", "Membership.mem", "QuotientAddGroup.Quotient.addGroup", "AddZeroClass.toAddZero", "AddAction.inst...
true
Std.Time.TimeZone.convertTZifV2
Std.Time.Zoned.Database.Basic
[ "Std.Time.TimeZone.convertTZifV1", "String", "Std.Time.TimeZone.TZif.TZifV2", "Std.Time.TimeZone.TZif.TZifV2.toTZifV1", "Except", "Std.Time.TimeZone.ZoneRules" ]
true
Batteries.AssocList.any._sunfold
Batteries.Data.AssocList
[ "Batteries.AssocList.toList.match_1", "Batteries.AssocList.any", "Batteries.AssocList", "Unit", "Bool", "Bool.or", "Bool.false" ]
false
_private.Mathlib.Tactic.Lift.0.Mathlib.Tactic.Lift.main.match_5
Mathlib.Tactic.Lift
[ "Lean.TSyntax", "Option.ctorIdx", "_private.Mathlib.Tactic.Lift.0.Mathlib.Tactic.Lift.main._sparseCasesOn_5", "Option.some", "Nat.hasNotBit", "List.cons", "Lean.SyntaxNodeKind", "Lean.Name.mkStr1", "List.nil", "Option" ]
false
NonUnitalSubsemiring.coe_center
Mathlib.RingTheory.NonUnitalSubsemiring.Basic
[ "NonUnitalSubsemiring.center", "Set.center", "SetLike.coe", "Distrib.toMul", "NonUnitalSubsemiring.instSetLike", "NonUnitalSubsemiring", "NonUnitalNonAssocSemiring.toDistrib", "NonUnitalNonAssocSemiring", "Eq", "rfl", "Set" ]
true
Lean.ImportM.Context.ctorIdx
Lean.Environment
[ "Lean.ImportM.Context", "Nat" ]
false
AddSubgroup.upperCentralSeries_isAscendingCentralSeries
Mathlib.GroupTheory.Nilpotent
[ "AddSubgroup.instBot", "addCommutatorElement", "Bracket.bracket", "Membership.mem", "instOfNatNat", "Bot.bot", "AddSubgroup", "instHAdd", "AddGroup", "HAdd.hAdd", "AddSubgroup.instSetLike", "Nat", "AddSubgroup.upperCentralSeries", "And.intro", "AddSubgroup.IsAscendingCentralSeries", "i...
true
Finset.measurable_restrict_apply
Mathlib.MeasureTheory.MeasurableSpace.Constructions
[ "measurable_subtype_coe", "Measurable.comp", "Finset", "Measurable", "Finset.restrict", "Membership.mem", "Subtype", "MeasurableSpace", "Finset.instSetLike", "Subtype.instMeasurableSpace", "Subtype.val", "SetLike.instMembership" ]
true
_private.Mathlib.Data.Nat.Init.0.Nat.strongRecAux.match_1
Mathlib.Data.Nat.Init
[ "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "LT.lt", "instAddNat", "Nat.zero", "instLTNat", "OfNat.ofNat", "Nat.succ", "Nat.casesOn" ]
false
Mathlib.Tactic.superscriptTerm.parenthesizer
Mathlib.Util.Superscript
[ "Lean.Parser.withCache.parenthesizer", "Lean.Parser.mkAntiquot.parenthesizer", "Lean.Name.mkStr3", "Lean.PrettyPrinter.Parenthesizer", "instOfNatNat", "Lean.PrettyPrinter.Parenthesizer.leadingNode.parenthesizer", "Nat", "Lean.PrettyPrinter.Parenthesizer.withAntiquot.parenthesizer", "Lean.Parser.term...
true
ONote.repr_opow
Mathlib.SetTheory.Ordinal.Notation
[ "Ordinal.opow_mul", "PNat.val", "ONote.repr_one", "Ordinal.opow_one", "ONote.NF", "Eq.mpr", "ONote.instMul", "Nat.cast_succ", "ONote.split'", "ONote.nf_repr_split'", "Semigroup.toMul", "Ordinal.instLinearOrder", "Preorder.toLT", "Dvd.dvd", "Ordinal.opow_omega0", "HMul.hMul", "Ordinal...
true
Seminorm.closedBall_finset_sup
Mathlib.Analysis.Seminorm
[ "Eq.mpr", "Real.instLE", "Real", "iInf", "CompleteLattice.toLattice", "Real.instZero", "congrArg", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "Finset", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "Preorder.toLE", "SeminormedRing.toRing", "AddCommGroup.to...
true
Polynomial.eval₂AlgHom_apply
Mathlib.Algebra.Polynomial.AlgebraMap
[ "Polynomial.eval₂AlgHom._proof_1", "AlgHom", "AlgHom.funLike", "Polynomial.algebraOfAlgebra", "Algebra", "Commute", "Polynomial.eval₂", "Polynomial", "instDistribOfSemiring", "CommSemiring", "Distrib.toMul", "RingHomClass.toRingHom", "Polynomial.semiring", "Semiring", "Eq.refl", "Semir...
true
mersenne_odd._simp_1
Mathlib.NumberTheory.LucasLehmer
[ "Odd", "Ne", "instOfNatNat", "mersenne", "Nat", "propext", "Nat.instSemiring", "mersenne_odd", "OfNat.ofNat", "Eq" ]
false
instPosSMulStrictMonoIntOfIsOrderedAddMonoid
Mathlib.Algebra.Order.Module.Defs
[ "Preorder.toLT", "AddCommGroup.toAddCommMonoid", "PartialOrder.toPreorder", "AddCommGroup.toAddGroup", "SemilatticeInf.toPartialOrder", "zsmul_lt_zsmul_right", "PartialOrder", "AddCommGroup", "Int", "AddGroup.toSubNegMonoid", "PosSMulStrictMono", "LT.lt", "instLatticeInt", "Zero.toOfNat0",...
true
Aesop.Frontend.Feature.builderOption.sizeOf_spec
Aesop.Frontend.RuleExpr
[ "Aesop.Frontend.Feature._sizeOf_inst", "Aesop.Frontend.BuilderOption._sizeOf_inst", "instOfNatNat", "Aesop.Frontend.Feature.builderOption", "instHAdd", "Aesop.Frontend.Feature", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "OfNat.ofNat", "Eq", "Aesop.Frontend.BuilderOption...
true
Filter.mul_neBot_iff
Mathlib.Order.Filter.Pointwise
[ "HMul.hMul", "Filter.map₂_neBot_iff", "Filter.NeBot", "Mul", "Filter.instMul", "And", "Iff", "Filter", "instHMul" ]
true
Set.initialSegIic._proof_2
Mathlib.Order.Interval.Set.InitialSeg
[ "Subtype.casesOn", "Membership.mem", "Set.Elem", "id", "Subtype.mk", "eq_self", "of_eq_true", "Eq.ndrec", "Set.Iic", "Subtype.val", "Eq", "Set.instMembership", "Preorder", "Set" ]
false
DifferentiableWithinAt.fun_const_smul
Mathlib.Analysis.Calculus.FDeriv.Add
[ "Monoid", "instHSMul", "NormedSpace", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "NormedField.toField", "AddZeroClass.toAddZero", "id", "DistribSMul.toSMu...
true
_private.Mathlib.Combinatorics.Nullstellensatz.0.MvPolynomial.Alon.P.eq_1
Mathlib.Combinatorics.Nullstellensatz
[ "Finsupp.instAddZeroClass", "Nat.instMulZeroClass", "CommRing", "AddGroupWithOne.toAddGroup", "AddMonoidAlgebra.commRing", "CommSemiring.toSemiring", "Finset", "AddMonoid.toAddZeroClass", "HSub.hSub", "Finsupp.instAddMonoid", "MvPolynomial.X", "Nat.instAddMonoid", "RingHom", "AddMonoidAlge...
true
_private.Std.Internal.Async.System.0.Std.Internal.IO.Async.System.instDecidableEqSystemUser.decEq._proof_5
Std.Internal.Async.System
[ "False", "Std.Internal.IO.Async.System.GroupId", "String", "Std.Internal.IO.Async.System.SystemUser.mk.noConfusion", "Std.Internal.IO.Async.System.SystemUser.mk", "Std.Internal.IO.Async.System.SystemUser", "Eq", "Not", "Std.Internal.IO.Async.System.UserId", "System.FilePath", "Option" ]
false
CategoryTheory.Functor.isoWhiskerLeft_refl
Mathlib.CategoryTheory.Whiskering
[ "CategoryTheory.Functor", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Iso.refl", "CategoryTheory.Iso", "CategoryTheory.Functor.isoWhiskerLeft", "Eq", "rfl", "CategoryTheory.Category" ]
true
_private.Mathlib.LinearAlgebra.AffineSpace.AffineSubspace.Basic.0.vectorSpan_range_eq_span_range_vsub_right_ne._simp_1_5
Mathlib.LinearAlgebra.AffineSpace.AffineSubspace.Basic
[ "Exists", "Subtype.exists", "Subtype", "Subtype.mk", "propext", "Eq" ]
false
SimpleGraph.disjoint_sdiff_neighborFinset_image
Mathlib.Combinatorics.SimpleGraph.Operations
[ "Eq.mpr", "SimpleGraph.incidenceSet", "False", "Sym2.mem_iff._simp_1", "Sym2.mk", "congrArg", "and_self", "Finset", "SimpleGraph.Adj", "False.elim", "SimpleGraph.fintypeEdgeSet", "DecidableRel", "SimpleGraph.neighborFinset", "Finset.mem_image._simp_1", "SimpleGraph.mem_incidenceFinset", ...
true
Array.mkSlice_roc_eq_mkSlice_roo_min
Init.Data.Slice.Array.Lemmas
[ "instSliceableArrayNatSubarray_3", "Std.Rco", "Std.Rco.Sliceable.mkSlice", "Subarray", "Array.mkSlice_roc_eq_mkSlice_rco", "congrArg", "Std.IsLinearPreorder.toIsPreorder", "Std.instReflLeOfIsPreorder", "instSliceableArrayNatSubarray_1", "Std.le_refl._simp_1", "Array.mkSlice_rco_eq_mkSlice_rco_mi...
true
Lean.Omega.LinearCombo.sub_eq_add_neg
Init.Omega.LinearCombo
[ "Lean.Omega.LinearCombo.coeffs", "congrArg", "Lean.Omega.IntList.instNeg", "Lean.Omega.IntList.instAdd", "Lean.Omega.LinearCombo.ext", "HSub.hSub", "Int.instNegInt", "Int", "Lean.Omega.LinearCombo", "instHAdd", "instHSub", "HAdd.hAdd", "Lean.Omega.Coeffs", "Lean.Omega.LinearCombo.mk", "T...
true
Std.ExtTreeMap.self_le_maxKeyD_insertIfNew
Std.Data.ExtTreeMap.Lemmas
[ "Ordering", "Std.ExtDTreeMap.self_le_maxKeyD_insertIfNew", "Std.TransCmp", "Bool.true", "Std.ExtTreeMap", "Std.ExtTreeMap.inner", "Bool", "Std.ExtTreeMap.insertIfNew", "Ordering.isLE", "Eq", "Std.ExtTreeMap.maxKeyD" ]
true
_private.Mathlib.Algebra.Ring.Int.Defs.0.Int.cast_mul_eq_zsmul_cast._simp_1_2
Mathlib.Algebra.Ring.Int.Defs
[ "propext", "Nonempty", "forall_const", "Eq" ]
false
Real.hasStrictDerivAt_sqrt
Mathlib.Analysis.SpecialFunctions.Sqrt
[ "ContDiffAt", "NormedCommRing.toSeminormedCommRing", "Real", "instHDiv", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "HMul.hMul", "IsTopologicalRing.toIsTopologicalSemiring", "Real.denselyNormedField", "Real.instZero", "IsTopologicalSemiring.toContinuousMul", "Real.in...
true
Std.DTreeMap.Internal.Impl.get_erase
Std.Data.DTreeMap.Internal.Lemmas
[ "Std.DTreeMap.Internal.Impl.toListModel_erase", "Eq.mpr", "Std.Internal.List.DistinctKeys", "Std.DTreeMap.Internal.Impl.get_eq_getValueCast", "Std.Internal.List.containsKey_of_perm", "Std.DTreeMap.Internal.Impl.SizedBalancedTree.impl", "Std.DTreeMap.Internal.Impl.contains_of_contains_erase", "Ord", ...
true
_private.Mathlib.AlgebraicTopology.SimplicialSet.StdSimplex.0.SSet.stdSimplex.finOrderIsoPairCompl._proof_8
Mathlib.AlgebraicTopology.SimplicialSet.StdSimplex
[ "Lean.Grind.eq_false_of_not_eq_true", "Fin.succAbove", "Finset.mem_singleton", "False", "SimplexCategory.instFintypeToTypeOrderHomFinHAddNatLenOfNat", "eq_false", "Lean.Grind.iff_eq", "congrArg", "Compl.compl", "Finset", "Classical.byContradiction", "instDecidableEqFin", "Membership.mem", ...
false
Int.mul_self_lt_mul_self
Init.Data.Int.Order
[ "HMul.hMul", "Int.lt_of_le_of_lt", "Int", "LE.le", "Int.mul_lt_mul'", "Int.instMul", "Int.instLTInt", "instOfNat", "LT.lt", "OfNat.ofNat", "Int.le_of_lt", "Int.instLEInt", "instHMul" ]
true
_private.Mathlib.Algebra.BigOperators.Intervals.0.Finset.prod_fin_Icc_eq_prod_nat_Icc._proof_1_1
Mathlib.Algebra.BigOperators.Intervals
[ "Lean.Grind.Nat.lt_eq", "instOfNatNat", "LE.le", "instLENat", "instHAdd", "HAdd.hAdd", "Nat", "LT.lt", "instAddNat", "instLTNat", "OfNat.ofNat", "Eq.mpr_prop" ]
false
VectorFourier.fourierPowSMulRight_apply
Mathlib.Analysis.Fourier.FourierTransformDeriv
[ "Real", "Algebra.to_smulCommClass", "instHSMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "Real.pi", "HMul.hMul", "VectorFourier.fourierPowSMulRight", "CommRing.toNonUnitalCommRing", "Finset.univ", "NormedSpace", "ContinuousLinearMap.topologicalSpace", "CommSemir...
true
Cubic.natDegree_of_zero
Mathlib.Algebra.CubicDiscriminant
[ "instOfNatNat", "Cubic.toPoly", "Cubic.natDegree_of_c_eq_zero'", "Nat", "Semiring", "Cubic", "Zero.toOfNat0", "Polynomial.natDegree", "OfNat.ofNat", "Eq", "MulZeroClass.toZero", "instMulZeroClassOfSemiring", "Cubic.instZero" ]
true
_private.Mathlib.AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf.0.AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf.SectionSubring.mul_mem'._simp_1_2
Mathlib.AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf
[ "SetLike", "CommRing", "HomogeneousLocalization", "CommSemiring.toSemiring", "Localization", "HomogeneousLocalization.ext_iff_val", "MulZeroOneClass.toMulOneClass", "instMulZeroOneClassOfSemiring", "CommRing.toCommSemiring", "propext", "CommRing.toCommMonoid", "Eq", "Submonoid", "Homogeneo...
false
CategoryTheory.Limits.coker_map
Mathlib.CategoryTheory.Limits.Shapes.Kernels
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Limits.coker", "CategoryTheory.Limits.cokernel.desc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Arrow.Hom.right", "CategoryTheory.Limits.coker._proof_1", "CategoryTheory.Limits.cokernel", "CategoryTheory.Arrow.le...
true
LinearMap.IsSymmetric.adjoint_eq
Mathlib.Analysis.InnerProductSpace.Adjoint
[ "Eq.mpr", "InnerProductSpace.toNormedSpace", "Inner.inner", "congrArg", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "LinearMap.instFunLike", "NormedDivisionRing.toDivisionRing", "NormedField.toField", "id", "RingHomInvPair.instStarRingEnd", "NormedField.toNormedDivisionRing", "eq...
true
Complex.normSq._proof_1
Mathlib.Data.Complex.Basic
[ "Real", "HMul.hMul", "Real.instZero", "Real.instAddMonoid", "congrArg", "Complex.im", "AddMonoid.toAddZeroClass", "Real.semiring", "MulZeroClass.mul_zero", "Real.instAdd", "Complex.re", "instMulZeroOneClassOfSemiring", "instHAdd", "HAdd.hAdd", "Real.instMul", "congr", "True", "eq_s...
false
Lean.Elab.Tactic.BVDecide.Frontend.LemmaState.mk._flat_ctor
Lean.Elab.Tactic.BVDecide.Frontend.BVDecide.Reflect
[ "Lean.Elab.Tactic.BVDecide.Frontend.ReifiedBVExpr", "Lean.Expr.instBEq", "Lean.Elab.Tactic.BVDecide.Frontend.ReifiedBVLogical", "Lean.Elab.Tactic.BVDecide.Frontend.ReifiedBVPred", "Lean.Expr", "Lean.Elab.Tactic.BVDecide.Frontend.SatAtBVLogical", "Std.HashMap", "Lean.Elab.Tactic.BVDecide.Frontend.Lemma...
false
_private.Mathlib.Order.CompleteLattice.Defs.0.sSup_lt_iff.match_1_1
Mathlib.Order.CompleteLattice.Defs
[ "CompleteSemilatticeSup", "Preorder.toLT", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "Exists", "upperBounds", "And.casesOn", "And", "Exists.casesOn", "And.intro", "LT.lt", "Exists.intro", "CompleteSemilatticeSup.toPartialOrder", "Set.instMembership", "Set" ]
false
CategoryTheory.Functor.IsStronglyCartesian.mk
Mathlib.CategoryTheory.FiberedCategory.Cartesian
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.IsHomLift", "CategoryTheory.Functor.IsStronglyCartesian", "And", "ExistsUnique", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Functor.IsStr...
true
SelectInsertParamsClass.mk.noConfusion
Mathlib.Tactic.Widget.SelectInsertParamsClass
[ "SelectInsertParamsClass", "Lean.SubExpr.GoalsLocation", "id", "SelectInsertParamsClass.mk", "Array", "heq_of_eq", "SelectInsertParamsClass.noConfusion", "Eq.refl", "HEq", "Lean.Lsp.Position", "Lean.Lsp.Range", "Lean.Widget.InteractiveGoal", "Eq" ]
false
Lean.Parser.Tactic.MRefinePat.stateful
Std.Tactic.Do.Syntax
[ "Lean.TSyntax", "List.cons", "Lean.Parser.Tactic.MRefinePat", "Lean.Name.mkStr2", "Lean.SyntaxNodeKind", "Lean.Parser.Tactic.MRefinePat.stateful", "List.nil" ]
true
DFinsupp.mapRange.linearEquiv._proof_3
Mathlib.LinearAlgebra.DFinsupp
[ "instHSMul", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "RingHom", "DFinsupp.mapRange.linearMap", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "LinearMap.toAddHom", "AddCommMonoid", "AddZero.toZero", "RingHom.instFunLike", "LinearEquiv.toLinearMap", "DFinsupp.a...
false
eq_iff_iff._simp_2
Std.Tactic.BVDecide.Normalize.Prop
[ "Iff", "propext", "Eq", "eq_iff_iff" ]
false
Std.IterM.toArray_mapWithPostcondition_mapWithPostcondition
Init.Data.Iterators.Lemmas.Combinators.Monadic.FilterMap
[ "LawfulMonadLiftT", "Std.IterM.toArray", "congrArg", "Monad.toApplicative", "Std.Iterators.Types.Map.instIterator", "_private.Init.Data.Iterators.Lemmas.Combinators.Monadic.FilterMap.0.Std.IterM.toArray_mapWithPostcondition_mapWithPostcondition._simp_1_1", "MonadLiftT.monadLift", "Std.Iterators.Types....
true
Hamming.instMetricSpace._proof_1
Mathlib.InformationTheory.Hamming
[ "instT4SpaceOfT1SpaceOfNormalSpace", "Hamming.instPseudoMetricSpace", "T3Space.toT0Space", "PseudoMetricSpace.toUniformSpace", "UniformSpace.completelyNormalSpace_of_isCountablyGenerated_uniformity", "TopologicalSpace.DiscreteTopology.metrizableSpace", "EMetric.instIsCountablyGeneratedUniformity", "Co...
false
AddUnits.instInhabited
Mathlib.Algebra.Group.Units.Defs
[ "AddUnits.instZero", "AddMonoid", "Inhabited", "Zero.toOfNat0", "OfNat.ofNat", "Inhabited.mk", "AddUnits" ]
true
QuotientGroup.instInhabitedQuotientSubgroup
Mathlib.GroupTheory.Coset.Defs
[ "InvOneClass.toOne", "DivInvOneMonoid.toInvOneClass", "QuotientGroup.mk", "Group", "Group.toDivisionMonoid", "DivisionMonoid.toDivInvOneMonoid", "QuotientGroup.instHasQuotientSubgroup", "Subgroup", "HasQuotient.Quotient", "One.toOfNat1", "Inhabited", "OfNat.ofNat", "Inhabited.mk" ]
true
SetLike.coe_subset_coe
Mathlib.Data.SetLike.Basic
[ "SetLike", "IsConcreteLE.coe_subset_coe'", "HasSubset.Subset", "LE.le", "LE", "Iff", "IsConcreteLE", "SetLike.coe", "Set.instHasSubset", "Set" ]
true
Std.Sat.AIG.RefVec.map.go_le_size
Std.Sat.AIG.RefVecOperator.Map
[ "Std.Sat.AIG.Decl", "Std.Sat.AIG.RefVec.map.go_le_size._unary", "Std.Sat.AIG.RefVec.map.go", "Std.Sat.AIG.Entrypoint", "LE.le", "instLENat", "Std.Sat.AIG.Ref", "Std.Sat.AIG", "Nat", "Std.Sat.AIG.RefVec.LawfulMapOperator", "PSigma.mk", "Hashable", "Std.Sat.AIG.RefVecEntry.aig", "Std.Sat.AIG...
true
ContinuousMultilinearMap.map_piecewise_add
Mathlib.Topology.Algebra.Module.Multilinear.Basic
[ "Finset", "ContinuousMultilinearMap", "Finset.piecewise", "ContinuousMultilinearMap.funLike", "AddCommMonoid", "TopologicalSpace", "instHAdd", "MultilinearMap.map_piecewise_add", "Pi.instAdd", "ContinuousMultilinearMap.toMultilinearMap", "HAdd.hAdd", "Semiring", "Finset.powerset", "AddComm...
true
add_lt_of_lt_sub_right
Mathlib.Algebra.Order.Group.Unbundled.Basic
[ "AddMonoid.toAddZeroClass", "AddRightStrictMono", "HSub.hSub", "AddZeroClass.toAddZero", "SubNegMonoid.toSub", "instHAdd", "AddGroup", "instHSub", "AddGroup.toSubNegMonoid", "HAdd.hAdd", "LT.lt", "Iff.mp", "AddZero.toAdd", "SubNegMonoid.toAddMonoid", "lt_sub_iff_add_lt", "LT" ]
true
MeasureTheory.IsAddFundamentalDomain.setIntegral_eq
Mathlib.MeasureTheory.Group.FundamentalDomain
[ "AddGroup.toSubtractionMonoid", "Eq.mpr", "NegZeroClass.toNeg", "Real", "Trans.trans", "MeasureTheory.Measure", "MeasurableConstVAdd", "NormedSpace", "AddMonoid.toAddSemigroup", "congrArg", "AddCommGroup.toAddCommMonoid", "MeasureTheory.VAddInvariantMeasure", "MeasureTheory.integral_undef", ...
true
CategoryTheory.Enriched.FunctorCategory.isLimitConeFunctorEnrichedHom
Mathlib.CategoryTheory.Enriched.FunctorCategory
[ "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.Limits.IsLimit.mk", "CategoryTheory.Enriched.FunctorCategory.HasFunctorEnrichedHom", "CategoryTheory.Limits.Cone", "CategoryTheory.EnrichedOrdinaryCategory", "CategoryTheory.Enriched.FunctorCategory.isLimitConeFunctorEnrichedHom.f...
true
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.Equiv.erase._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
MvPolynomial.algebraTensorAlgEquiv_symm_map
Mathlib.RingTheory.TensorProduct.MvPolynomial
[ "Finsupp.instAddZeroClass", "NonAssocSemiring.toAddCommMonoidWithOne", "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "Algebra.to_smulCommClass", "DFunLike.congr_fun", "Semiring.toModule", "IsScalarTower.right", "AddMonoidAlgebra.addAddCommMonoid", "AlgEquiv.toAlgHom", "Algebra.algebraMap"...
true
Lean.ConstantKind.axiom
Lean.Environment
[ "Lean.ConstantKind", "Lean.ConstantKind.axiom" ]
true
_private.Mathlib.Algebra.MonoidAlgebra.Module.0.AddMonoidAlgebra.faithfulSMul._proof_1
Mathlib.Algebra.MonoidAlgebra.Module
[ "AddMonoidAlgebra.addAddCommMonoid", "SMulZeroClass", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "FaithfulSMul", "AddZero.toZero", "AddMonoidAlgebra.smulZeroClass", "Semiring", "Nonempty", "SMulZeroClass.toSMul", "AddCommMonoid.toAddMonoid", "AddMonoidAlgebra", "Finsupp.faithfulSM...
false
Finsupp.smul_single'
Mathlib.Data.Finsupp.SMul
[ "Finsupp.smulZeroClass", "NonAssocSemiring.toAddCommMonoidWithOne", "instHSMul", "HMul.hMul", "congrArg", "instDistribSMul", "AddMonoid.toAddZeroClass", "DistribSMul.toSMulZeroClass", "AddCommMonoidWithOne.toAddMonoidWithOne", "instDistribOfSemiring", "Distrib.toMul", "NonAssocSemiring.toNonUn...
true
CategoryTheory.categoryOfElements._proof_4
Mathlib.CategoryTheory.Elements
[ "CategoryTheory.Functor.Elements", "CategoryTheory.Functor", "Subtype.mk.congr_simp", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ConcreteCategory.hom", "TypeCat.instFunLikeFun", "CategoryTheory.CategoryStruct.id", "Subtype", "Sigma.fst", "CategoryTheory...
false
PowerSeries.degree_trunc_lt
Mathlib.RingTheory.PowerSeries.Trunc
[ "WithBot.instPreorder", "PowerSeries.coeff_trunc", "WithBot", "Preorder.toLT", "Semiring.toModule", "ite_eq_right_iff._simp_1", "congrArg", "PartialOrder.toPreorder", "LinearMap.instFunLike", "Preorder.toLE", "PowerSeries.coeff", "Polynomial.degree", "MvPowerSeries.instModule", "LE.le", ...
true
Equiv.nonUnitalCommSemiring._proof_3
Mathlib.Algebra.Ring.TransferInstance
[ "Equiv.apply_symm_apply", "Equiv.instEquivLike", "HMul.hMul", "Equiv", "NonUnitalSemiring.toNonUnitalNonAssocSemiring", "NonUnitalCommSemiring.toNonUnitalSemiring", "Distrib.toMul", "NonUnitalNonAssocSemiring.toDistrib", "NonUnitalCommSemiring", "Equiv.symm", "Eq", "DFunLike.coe", "EquivLike...
false
LieSubmodule.Quotient.lieQuotientLieAlgebra._proof_1
Mathlib.Algebra.Lie.Quotient
[ "LieAlgebra.toModule", "Eq.mpr", "Submodule", "CommRing", "LieSubmodule.Quotient.module", "instHSMul", "instSMulOfMul", "LieRing.toAddCommGroup", "congrArg", "CommSemiring.toSemiring", "LieSubmodule.Quotient.mk", "lie_smul", "AddCommGroup.toAddCommMonoid", "Submodule.Quotient.mk", "Brack...
false
_private.Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Expr.0.Std.Tactic.BVDecide.BVExpr.bitblast.go.match_9.eq_1
Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Expr
[ "Unit.unit", "Std.Tactic.BVDecide.BVBinOp.umod", "Std.Tactic.BVDecide.BVBinOp", "Std.Tactic.BVDecide.BVExpr.bitblast.go.match_9", "Std.Tactic.BVDecide.BVBinOp.mul", "Std.Tactic.BVDecide.BVBinOp.and", "Unit", "Std.Tactic.BVDecide.BVBinOp.udiv", "Std.Tactic.BVDecide.BVBinOp.xor", "Eq.refl", "Std.T...
true
Std.ExtDTreeMap.filterMap._proof_1
Std.Data.ExtDTreeMap.Basic
[ "Std.ExtDTreeMap.mk", "Std.DTreeMap", "Ordering", "Std.ExtDTreeMap.sound", "Std.ExtDTreeMap", "Std.DTreeMap.Equiv", "Eq", "Std.DTreeMap.Equiv.filterMap", "Std.DTreeMap.filterMap", "Option" ]
false
CategoryTheory.InjectivePresentation.mk.noConfusion
Mathlib.CategoryTheory.Preadditive.Injective.Basic
[ "CategoryTheory.Injective", "CategoryTheory.InjectivePresentation.noConfusion", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.InjectivePresentation.mono._autoParam", "HEq.refl", "CategoryTheory.InjectivePresentation.mk", "id", "CategoryTheory.Inject...
false
_private.Lean.Meta.Tactic.Simp.BuiltinSimprocs.UInt.0._regBuiltin.UInt64.reduceAdd.declare_249._@.Lean.Meta.Tactic.Simp.BuiltinSimprocs.UInt.4002762760._hygCtx._hyg.31
Lean.Meta.Tactic.Simp.BuiltinSimprocs.UInt
[ "IO", "Lean.Meta.DiscrTree.Key.star", "Lean.Meta.DiscrTree.Key", "instOfNatNat", "List.toArray", "List.cons", "UInt64.reduceAdd", "Unit", "Nat", "Lean.Meta.Simp.registerBuiltinDSimproc", "Lean.Name.mkStr2", "OfNat.ofNat", "Lean.Name.mkStr1", "Lean.Meta.DiscrTree.Key.const", "List.nil" ]
false
RegularExpression.epsilon.elim
Mathlib.Computability.RegularExpressions
[ "PULift.up", "RegularExpression", "RegularExpression.epsilon", "Nat", "RegularExpression.ctorElim", "Eq.symm", "Eq", "RegularExpression.ctorIdx" ]
false
Lean.Lsp.InitializeResult.serverInfo?
Lean.Data.Lsp.InitShutdown
[ "Lean.Lsp.ServerInfo", "Lean.Lsp.InitializeResult", "Option" ]
true
CategoryTheory.Limits.Types.Small.productLimitCone._proof_1
Mathlib.CategoryTheory.Limits.Types.Products
[ "UnivLE.small", "small_Pi", "UnivLE.self", "Small" ]
false
_private.Mathlib.Data.Nat.Factorization.LCM.0.Nat.factorizationLCMRight_dvd_right._simp_1_2
Mathlib.Data.Nat.Factorization.LCM
[ "SemigroupWithZero", "dvd_zero", "Dvd.dvd", "semigroupDvd", "SemigroupWithZero.toMulZeroClass", "SemigroupWithZero.toSemigroup", "True", "eq_true", "Zero.toOfNat0", "OfNat.ofNat", "Eq", "MulZeroClass.toZero" ]
false