name
string
module
string
deps
list
allowCompletion
bool
CommMonCat.forget₂CreatesLimit._proof_11
Mathlib.Algebra.Category.MonCat.Limits
[ "MonCat.limitMonoid", "CategoryTheory.Limits.Cone.π", "MulOne.toOne", "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "MonoidHom.instFunLike", "Equiv.instEquivLike", "CategoryTheory.Limits.Types.Small.limitCone", "CommMonCat.instConcreteCategoryMonoidHomCarrier", "CategoryTheory.CategorySt...
false
MonCat.Colimits.descFunLift.eq_3
Mathlib.Algebra.Category.MonCat.Colimits
[ "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "HMul.hMul", "Monoid.toMulOneClass", "MonCat.Colimits.Prequotient", "MulOne.toMul", "MonCat", "MonCat.instCategory", "MonCat.carrier", "MulOneClass.toMulOne", "Eq.refl", "MonCat.Colimits.Prequotient.mul", "Eq", "MonCat.str", "MonC...
true
_private.Mathlib.Algebra.Group.Finsupp.0.Finsupp.addCommute_of_disjoint._simp_1_2
Mathlib.Algebra.Group.Finsupp
[ "Finset", "Disjoint", "Finset.partialOrder", "Finset.instEmptyCollection", "Inter.inter", "Finset.instInter", "Finset.disjoint_iff_inter_eq_empty", "propext", "EmptyCollection.emptyCollection", "Finset.instOrderBot", "Eq", "DecidableEq" ]
false
String.Slice.apply_skipPrefixWhile_bool_eq_false
Init.Data.String.Lemmas.Pattern.TakeDrop.Pred
[ "congrArg", "String.Slice.skipPrefixWhile", "String.Slice", "String.Slice.Pos.skipWhile", "Ne", "String.Slice.startPos", "String.Slice.endPos", "String.Slice.skipPrefixWhile_eq_skipWhile_startPos", "String.Slice.Pattern.CharPred.instForwardPatternForallCharBool", "True", "eq_self", "Bool", "...
true
_private.Mathlib.Algebra.Category.CommAlgCat.Basic.0.CommAlgCat.mk._flat_ctor
Mathlib.Algebra.Category.CommAlgCat.Basic
[ "CommRing", "CommSemiring.toSemiring", "Algebra", "CommRing.toCommSemiring", "_private.Mathlib.Algebra.Category.CommAlgCat.Basic.0.CommAlgCat.mk", "CommAlgCat" ]
false
CategoryTheory.Sieve.essSurjFullFunctorGaloisInsertion
Mathlib.CategoryTheory.Sites.Sieves
[ "CategoryTheory.Functor", "PartialOrder.toPreorder", "GaloisConnection.toGaloisInsertion", "CategoryTheory.Sieve", "CategoryTheory.Sieve.essSurjFullFunctorGaloisInsertion._proof_1", "CompleteLattice.toCompleteSemilatticeInf", "CompleteSemilatticeInf.toPartialOrder", "CategoryTheory.Sieve.functorPushfo...
true
_private.Lean.Elab.App.0.Lean.Elab.Term.ElabAppArgs.getParamType
Lean.Elab.App
[ "Pure.pure", "Lean.Elab.Term.ElabAppArgs.M", "Lean.Elab.Term.ElabAppArgs.State", "Lean.Core.instMonadLiftIOCoreM", "Lean.Elab.Term.instMonadTermElabM", "IO.instMonadLiftSTRealWorldBaseIO", "Lean.Meta.State", "instMonadLiftT", "MonadState.get", "IO", "StateRefT'.instMonadStateOfOfMonadLiftTST", ...
true
extChartAt_target_eventuallyEq_of_mem
Mathlib.Geometry.Manifold.IsManifold.ExtChartAt
[ "extChartAt", "NormedSpace", "PartialEquiv.target", "nhdsWithin", "PseudoMetricSpace.toUniformSpace", "nhdsWithin_eq_iff_eventuallyEq", "Membership.mem", "nhds", "Filter.EventuallyEq", "ModelWithCorners.toFun'", "TopologicalSpace", "ModelWithCorners", "SeminormedAddCommGroup.toPseudoMetricSp...
true
_private.Mathlib.Algebra.Polynomial.RuleOfSigns.0.List.filter.match_1.eq_1
Mathlib.Algebra.Polynomial.RuleOfSigns
[ "Unit.unit", "List.filter.match_1", "Bool.true", "Unit", "Bool", "Eq.refl", "Bool.false", "Eq" ]
true
_private.Std.Data.DHashMap.Internal.Defs.0.Std.DHashMap.Internal.Raw₀.expand.go.induct
Std.Data.DHashMap.Internal.WF
[ "Std.DHashMap.Internal.Raw₀.reinsertAux", "Array.set", "Std.DHashMap.Internal.AssocList.foldl", "Std.DHashMap.Internal.AssocList.nil", "PSigma.casesOn", "id", "Subtype", "instOfNatNat", "Array", "GetElem.getElem", "instHAdd", "Array.instGetElemNatLtSize", "HAdd.hAdd", "Hashable.hash", "N...
true
ContinuousLinearMap.equivProdOfSurjectiveOfIsCompl.congr_simp
Mathlib.Analysis.Calculus.Implicit
[ "Submodule", "RingHomSurjective.ids", "instUniformSpaceProd", "CompleteSpace", "NormedSpace", "AddCommGroup.toAddCommMonoid", "Submodule.completeLattice", "NormedSpace.toModule", "LinearMap.ker", "PseudoMetricSpace.toUniformSpace", "instTopologicalSpaceProd", "NormedField.toField", "Eq.rec",...
true
Std.Sat.AIG.RelabelNat.State.noConfusionType
Std.Sat.AIG.RelabelNat
[ "Std.Sat.AIG.Decl", "Std.Sat.AIG.RelabelNat.State.casesOn", "Std.HashMap", "instBEqOfDecidableEq", "Std.Sat.AIG.RelabelNat.State.Inv2", "Array", "Nat", "Std.Sat.AIG.RelabelNat.State", "Std.Sat.AIG.RelabelNat.State.Inv1", "HEq", "Hashable", "Eq", "DecidableEq" ]
false
_private.Std.Data.DHashMap.Internal.WF.0.Std.DHashMap.Internal.AssocList.foldrM.eq_2
Std.Data.DHashMap.Internal.WF
[ "Std.DHashMap.Internal.AssocList.foldrM", "Monad.toBind", "Eq.refl", "Std.DHashMap.Internal.AssocList", "Bind.bind", "Std.DHashMap.Internal.AssocList.cons", "Monad", "Eq" ]
true
Mathlib.Notation3.mkFoldlMatcher
Mathlib.Util.Notation3
[ "Pure.pure", "OptionT.instMonad", "Lean.TSyntax", "OptionT", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Syntax.ident", "Lean.Elab.Term.instMonadMacroAdapterTermElabM", "Lean.Quote.quote", "Array.push", "Lean.Elab.Term.instMonadTermElabM", "String", "Lean.SourceInfo", "Lean.Syntax.node5", "Lea...
true
_private.Lean.Compiler.CSimpAttr.0.Lean.Compiler.CSimp.isConstantReplacement?._sparseCasesOn_1
Lean.Compiler.CSimpAttr
[ "Nat.ne_of_beq_eq_false", "Option.ctorIdx", "Nat.shiftRight", "Option.some", "Nat.hasNotBit", "Option.rec", "instOfNatNat", "Nat.land", "Option.none", "Nat", "Bool", "Eq.refl", "OfNat.ofNat", "Bool.false", "Option" ]
false
algebraMap_comp_natCast
Mathlib.Algebra.Algebra.Basic
[ "NonAssocSemiring.toAddCommMonoidWithOne", "RingHom.instRingHomClass", "Algebra.algebraMap", "congrArg", "CommSemiring.toSemiring", "Algebra", "RingHom", "Function.comp", "AddMonoidWithOne.toNatCast", "AddCommMonoidWithOne.toAddMonoidWithOne", "Nat.cast", "CommSemiring", "funext", "RingHom...
true
ArchimedeanClass.stdPart_eq_sSup
Mathlib.Algebra.Order.Ring.StandardPart
[ "IsRightCancelAdd.addRightStrictMono_of_addRightMono", "AddGroup.toSubtractionMonoid", "Set.ext", "Eq.mpr", "NegZeroClass.toNeg", "Real.partialOrder", "Real", "IsDomain.to_noZeroDivisors", "Preorder.toLT", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "AddLeftCancelSemigroup.toIsLeftCancelAdd...
true
WellFounded.Nat.fix.go.congr_simp
Init.WF
[ "InvImage", "Eq.rec", "WellFounded.Nat.fix.go", "Nat", "LT.lt", "Eq.ndrec", "Eq.refl", "instLTNat", "Eq" ]
true
hasSum_nat_jacobiTheta
Mathlib.NumberTheory.ModularForms.JacobiTheta.OneVariable
[ "add_sub_assoc", "AddGroup.toSubtractionMonoid", "Int.cast_neg", "Int.cast", "Eq.mpr", "NegZeroClass.toNeg", "NormedCommRing.toSeminormedCommRing", "NonAssocSemiring.toAddCommMonoidWithOne", "Int.cast_natCast", "Real", "instHDiv", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Real.pi", ...
true
Std.Sat.AIG.denote_idx_gate
Std.Sat.AIG.Lemmas
[ "Eq.mpr", "Std.Sat.AIG.Entrypoint.aig", "Std.Sat.AIG.Decl", "Std.Sat.AIG.denote.go.congr_simp", "False", "Std.Sat.AIG.denote_idx_gate._proof_2", "Std.Sat.AIG.Fanin.gate", "Std.Sat.AIG.Ref.mk", "Std.Sat.AIG.denote._proof_5", "_private.Std.Sat.AIG.Lemmas.0.Std.Sat.AIG.toGraphviz.go.match_1.splitter"...
true
Fintype.prod_empty
Mathlib.Algebra.BigOperators.Group.Finset.Defs
[ "MulOne.toOne", "Finset.univ", "Monoid.toMulOneClass", "Finset.prod_of_isEmpty", "IsEmpty", "Finset.prod", "MulOneClass.toMulOne", "Fintype", "CommMonoid.toMonoid", "One.toOfNat1", "OfNat.ofNat", "Eq", "CommMonoid" ]
true
instAddCommMonoidFormalMultilinearSeries._proof_6
Mathlib.Analysis.Calculus.FormalMultilinearSeries
[ "Pi.addCommMonoid", "AddMonoid.toAddSemigroup", "ContinuousMultilinearMap.addCommMonoid", "ContinuousMultilinearMap", "AddCommMonoid", "TopologicalSpace", "instHAdd", "AddSemigroup.toAdd", "HAdd.hAdd", "Nat", "Semiring", "AddCommMonoid.add_comm", "AddCommMonoid.toAddMonoid", "AddCommSemigr...
false
CategoryTheory.Limits.WidePushout.head
Mathlib.CategoryTheory.Limits.Shapes.WidePullbacks
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.widePushout", "CategoryTheory.Limits.WidePushoutShape.wideSpan", "CategoryTheory.Limits.WidePushoutShape.category", "Option.none", "CategoryTheory.Limits.HasWidePushout", "CategoryTheory.Category.toCategoryStruct", "Categ...
true
BooleanSubalgebra.mem_comap
Mathlib.Order.BooleanSubalgebra
[ "BooleanAlgebra", "BooleanSubalgebra", "BoundedLatticeHom.instFunLike", "Iff.rfl", "Membership.mem", "BooleanAlgebra.toBoundedOrder", "BiheytingAlgebra.toCoheytingAlgebra", "BooleanAlgebra.toBiheytingAlgebra", "Iff", "BoundedLatticeHom", "CoheytingAlgebra.toGeneralizedCoheytingAlgebra", "Boole...
true
TopologicalSpace.DiscreteTopology.metrizableSpace
Mathlib.Topology.Metrizable.Basic
[ "UniformSpace", "TopologicalSpace.PseudoMetrizableSpace.mk", "Lattice.toSemilatticeSup", "TopologicalSpace.MetrizableSpace", "SetRel.id", "CompleteLattice.toLattice", "DiscreteTopology", "OrderBot.toBot", "uniformity", "PartialOrder.toPreorder", "DiscreteTopology.toT2Space", "Preorder.toLE", ...
true
CategoryTheory.Limits.isLimitOfHasBinaryProductOfPreservesLimit
Mathlib.CategoryTheory.Limits.Preserves.Shapes.BinaryProducts
[ "CategoryTheory.Functor", "CategoryTheory.Limits.PreservesLimit", "CategoryTheory.Limits.prod.fst", "CategoryTheory.Limits.BinaryFan.mk", "CategoryTheory.Limits.WalkingPair", "CategoryTheory.Functor.map", "CategoryTheory.Limits.prod.snd", "CategoryTheory.Limits.prodIsProd", "CategoryTheory.Limits.Is...
true
Real.fourierIntegralInv_comp_linearIsometry
Mathlib.Analysis.Fourier.FourierTransform
[ "LinearIsometryEquiv.instEquivLike", "InnerProductSpace.toNormedSpace", "Real", "NormedSpace", "Real.instRCLike", "NormedSpace.toModule", "Complex.instNormedField", "PseudoMetricSpace.toUniformSpace", "Function.comp", "Real.fourierInv_comp_linearIsometry", "BorelSpace", "Real.semiring", "Rea...
true
Std.TreeSet.get!_insertMany_list_of_mem
Std.Data.TreeSet.Lemmas
[ "Std.TreeSet", "Std.TreeSet.get!", "instForInOfForIn'", "Membership.mem", "Ordering", "inferInstance", "Std.TreeSet.inner", "Std.TransCmp", "Id", "Membership", "List", "List.instMembership", "Inhabited", "Std.TreeSet.insertMany", "Id.instMonad", "Eq", "Std.TreeMap.getKey!_insertManyI...
true
Int.gcd_sub_right_right_of_dvd
Init.Data.Int.Gcd
[ "Int.gcd", "Dvd.dvd", "HMul.hMul", "HSub.hSub", "Int", "Int.gcd_sub_mul_left_right", "Int.instDvd", "Int.instMul", "instHSub", "Exists.casesOn", "Nat", "Eq.ndrec", "Int.instSub", "Eq.symm", "Eq", "instHMul" ]
true
CategoryTheory.ShortComplex.Splitting.mk._flat_ctor
Mathlib.Algebra.Homology.ShortComplex.Exact
[ "CategoryTheory.ShortComplex.Splitting.s_g._autoParam", "CategoryTheory.ShortComplex.Splitting.f_r._autoParam", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AddCommGroup.toAddCommMonoid", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.X₁", "CategoryTheory.CategoryStruct.id", ...
false
_private.Mathlib.Algebra.Star.UnitaryStarAlgAut.0.Unitary.conjStarAlgAut_ext_iff'._simp_1_6
Mathlib.Algebra.Star.UnitaryStarAlgAut
[ "Monoid", "Units.val", "HMul.hMul", "Monoid.toMulOneClass", "Units", "MulOne.toMul", "MulOneClass.toMulOne", "Inv.inv", "propext", "Eq.symm", "Eq", "Units.instInv", "Units.eq_inv_mul_iff_mul_eq", "instHMul" ]
false
Representation.coinvariantsToFinsupp._proof_1
Mathlib.RepresentationTheory.Coinvariants
[ "Finsupp.instFunLike", "CommRing", "Representation", "MonoidHom.instFunLike", "Finsupp.module", "Finsupp.ext", "Monoid.toMulOneClass", "LinearMap.ext", "congrArg", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "Module.End.instSemiring", "LinearMap.i...
false
_private.Mathlib.MeasureTheory.Function.ConditionalLExpectation.0.MeasureTheory.measurable_condLExp'._simp_1_1
Mathlib.MeasureTheory.Function.ConditionalLExpectation
[ "Measurable", "Pi.instZero", "MeasurableSpace", "measurable_zero", "True", "eq_true", "Zero.toOfNat0", "OfNat.ofNat", "Eq", "Zero" ]
false
TypeCat.Hom.hom
Mathlib.CategoryTheory.Types.Basic
[ "CategoryTheory.ConcreteCategory.hom", "TypeCat.Hom", "TypeCat.instFunLikeFun", "TypeCat.Fun", "CategoryTheory.types", "instConcreteCategoryTypeFun" ]
true
Mathlib.Tactic.ITauto.Proof.orImpL.sizeOf_spec
Mathlib.Tactic.ITauto
[ "Mathlib.Tactic.ITauto.Proof._sizeOf_inst", "instOfNatNat", "instHAdd", "Mathlib.Tactic.ITauto.Proof", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "Mathlib.Tactic.ITauto.Proof.orImpL", "instAddNat", "Eq.refl", "OfNat.ofNat", "Eq" ]
true
_private.Mathlib.Topology.Sets.CompactOpenCovered.0.IsCompactOpenCovered.exists_mem_of_isBasis._simp_1_8
Mathlib.Topology.Sets.CompactOpenCovered
[ "Exists", "exists_prop", "And", "propext", "Eq" ]
false
Subalgebra.algebraicClosure
Mathlib.RingTheory.Algebraic.Integral
[ "IsDomain", "CommRing", "IsAlgebraic", "Subsemigroup.mk", "CommSemiring.toSemiring", "setOf", "Algebra", "Subalgebra.algebraicClosure._proof_4", "MulOne.toMul", "Subalgebra.algebraicClosure._proof_3", "Subalgebra.algebraicClosure._proof_1", "NonAssocSemiring.toMulZeroOneClass", "MulZeroOneCl...
true
Dense.eq_of_inner_right
Mathlib.Analysis.InnerProductSpace.Continuous
[ "NormedCommRing.toNormedRing", "AddGroup.toSubtractionMonoid", "Eq.mpr", "NormedRing.toRing", "Inner.inner", "AddGroupWithOne.toAddGroup", "congrArg", "sub_eq_zero", "HSub.hSub", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "Membership.mem", "NormedField.toField", "Dense"...
true
iteratedDerivWithin_add
Mathlib.Analysis.Calculus.IteratedDeriv.Lemmas
[ "NormedCommRing.toNormedRing", "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "Semiring.toModule", "NormedRing.toRing", "NormedSpace", "ENat.instNatCast", "UniqueDiffOn", "congrArg", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "AddGroupWithOne.toAddMonoidWithOne", "iteratedDeri...
true
Submodule.orthogonal_disjoint
Mathlib.Analysis.InnerProductSpace.Orthogonal
[ "InnerProductSpace.toNormedSpace", "Submodule", "congrArg", "AddCommGroup.toAddCommMonoid", "OrderBot.toBot", "Submodule.completeLattice", "NormedSpace.toModule", "_private.Mathlib.Analysis.InnerProductSpace.Orthogonal.0.Submodule.orthogonal_disjoint._simp_1_1", "PartialOrder.toPreorder", "Preorde...
true
MeasureTheory.lintegral_def
Mathlib.MeasureTheory.Integral.Lebesgue.Basic
[ "MeasureTheory.SimpleFunc.lintegral", "Eq.mpr", "MeasureTheory.Measure", "congrArg", "iSup", "MeasureTheory.SimpleFunc", "id", "Subtype", "LE.le", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", "Pi.hasLe", "Subtype.mk", "MeasureTheory.SimpleFunc.instFunLike", "MeasureTh...
true
_private.Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer.0.CategoryTheory.Limits.WalkingMultispan.functorExt.match_1.eq_1
Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer
[ "CategoryTheory.Limits.WalkingMultispan.functorExt.match_1", "CategoryTheory.Limits.WalkingMultispan", "CategoryTheory.Limits.MultispanShape.L", "CategoryTheory.Limits.MultispanShape", "CategoryTheory.Limits.WalkingMultispan.left", "CategoryTheory.Limits.WalkingMultispan.right", "CategoryTheory.Limits.M...
true
Polynomial.Splits.X_pow
Mathlib.Algebra.Polynomial.Splits
[ "Polynomial.Splits.X", "Polynomial", "Monoid.toPow", "Polynomial.Splits.pow", "HPow.hPow", "Polynomial.semiring", "Nat", "Semiring.toMonoid", "Semiring", "instHPow", "Polynomial.Splits", "Polynomial.X" ]
true
ENNReal.continuousAt_const_mul
Mathlib.Topology.Instances.ENNReal.Lemmas
[ "HMul.hMul", "CommSemiring.toSemiring", "ContinuousAt", "Filter.tendsto_id", "nhds", "ENNReal.Tendsto.const_mul", "Ne", "ENNReal.instCommSemiring", "instDistribOfSemiring", "Or.symm", "Distrib.toMul", "ENNReal", "Zero.toOfNat0", "ENNReal.instTopologicalSpace", "ENNReal.instTop", "Or", ...
true
CategoryTheory.ComposableArrows.homMk₅_app_three
Mathlib.CategoryTheory.ComposableArrows.Basic
[ "CategoryTheory.ComposableArrows.homMk₅", "_private.Mathlib.CategoryTheory.ComposableArrows.Basic.0._proof_455", "CategoryTheory.ComposableArrows.homMk₅._proof_4", "_private.Mathlib.CategoryTheory.ComposableArrows.Basic.0._auto_492", "CategoryTheory.CategoryStruct.toQuiver", "_private.Mathlib.CategoryTheo...
true
BitVec.reverse.eq_1
Init.Data.BitVec.Lemmas
[ "BitVec.reverse", "BitVec", "instOfNatNat", "Nat", "Eq.refl", "OfNat.ofNat", "Eq" ]
true
WithTop.coe_sInf._simp_1
Mathlib.Order.ConditionallyCompleteLattice.Basic
[ "WithTop.instInfSet", "iInf", "ConditionallyCompleteLinearOrderBot", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", "WithTop.some", "Set.Nonempty", "BddBelow", "ConditionallyCompleteLinearOrderBot.toConditionallyCo...
false
DirectSum.Decomposition.mk.noConfusion
Mathlib.Algebra.DirectSum.Decomposition
[ "SetLike", "DirectSum.coeAddMonoidHom", "DirectSum.Decomposition", "Function.LeftInverse", "instAddCommMonoidDirectSum", "HEq.refl", "DirectSum.Decomposition.noConfusion", "AddMonoid.toAddZeroClass", "Membership.mem", "AddSubmonoidClass", "AddZeroClass.toAddZero", "id", "Subtype", "AddSubm...
false
SemistandardYoungTableau.casesOn
Mathlib.Combinatorics.Young.SemistandardTableau
[ "SemistandardYoungTableau.rec", "YoungDiagram", "SemistandardYoungTableau.mk", "Membership.mem", "Prod.mk", "instOfNatNat", "LE.le", "instLENat", "Nat", "LT.lt", "instLTNat", "Prod", "OfNat.ofNat", "Eq", "Not", "SetLike.instMembership", "YoungDiagram.instSetLikeProdNat", "Semistand...
false
Real.sinh_eq_tsum
Mathlib.Analysis.SpecialFunctions.Trigonometric.Series
[ "Real", "instHDiv", "HMul.hMul", "Real.hasSum_sinh", "Real.instDivInvMonoid", "EMetricSpace.metrizableSpace", "PseudoMetricSpace.toUniformSpace", "Real.sinh", "HDiv.hDiv", "instMulNat", "instOfNatNat", "Nat.cast", "SummationFilter.instNeBotUnconditional", "Monoid.toPow", "Real.instMonoid...
true
CategoryTheory.InducedWideCategory.Hom.mk.congr_simp
Mathlib.CategoryTheory.Widesubcategory
[ "CategoryTheory.MorphismProperty", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Eq.rec", "CategoryTheory.InducedWideCategory.Hom", "CategoryTheory.InducedWideCategory", "Eq.ndrec", "CategoryTheory.InducedWideCategory.Hom.mk", "Eq.refl", "CategoryTheory.Category.toCategoryStruct", "Eq...
true
_private.Mathlib.RingTheory.Adjoin.Field.0.AlgEquiv.adjoinSingletonEquivAdjoinRootMinpoly._simp_1
Mathlib.RingTheory.Adjoin.Field
[ "Subalgebra.instSetLike", "NonAssocSemiring.toAddCommMonoidWithOne", "SubsemiringClass.toAddSubmonoidClass", "AddMonoid.toAddZeroClass", "Algebra", "Membership.mem", "Subtype", "ZeroMemClass.zero", "AddCommMonoidWithOne.toAddMonoidWithOne", "CommSemiring", "propext", "Subalgebra.instSubsemirin...
false
intervalIntegral.FTCFilter.le_nhds
Mathlib.MeasureTheory.Integral.IntervalIntegral.FundThmCalculus
[ "Real", "outParam", "PartialOrder.toPreorder", "PseudoMetricSpace.toUniformSpace", "Preorder.toLE", "nhds", "LE.le", "intervalIntegral.FTCFilter", "Real.pseudoMetricSpace", "UniformSpace.toTopologicalSpace", "Filter", "Filter.instPartialOrder" ]
true
CategoryTheory.MonoidalCategory.«term𝟙__»
Mathlib.CategoryTheory.Monoidal.Category
[ "Lean.Name.mkStr3", "instOfNatNat", "Lean.ParserDescr.binary", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "Lean.ParserDescr.symbol", "Lean.ParserDescr.cat", "OfNat.ofNat", "Lean.Name.mkStr1" ]
true
Mathlib.Meta.Positivity.evalNNRealSqrt
Mathlib.Analysis.Real.Sqrt
[ "Qq.QuotedDefEq", "Pure.pure", "Lean.instantiateMVars", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "_private.Mathlib.Analysis.Real.Sqrt.0.Mathlib.Meta.Positivity.evalNNRealSqrt.match_1", "Lean.MetavarKind.natural", "Mathlib.Meta.Positivity.Strictness", "Mathlib.Meta.Positivity.Pos...
true
Submonoid.units._proof_2
Mathlib.Algebra.Group.Submonoid.Units
[ "Monoid", "MonoidHom.instMonoidHomClass", "Submonoid.inv", "MonoidHom.instFunLike", "Units.coeHom", "DivInvOneMonoid.toInvOneClass", "MonoidHom", "Monoid.toMulOneClass", "Submonoid.toSubsemigroup", "Group.toDivisionMonoid", "Membership.mem", "DivisionMonoid.toDivInvOneMonoid", "Units", "Mu...
false
Turing.ListBlank.tail_cons
Mathlib.Computability.TuringMachine.Tape
[ "Quotient.mk''", "Turing.ListBlank.tail", "List", "Quotient", "Turing.ListBlank.cons", "Turing.ListBlank", "Quotient.ind'", "Inhabited", "Turing.BlankRel.setoid", "Eq", "rfl" ]
true
Order.isPredLimitRecOn_pred_of_not_isMin
Mathlib.Order.SuccPred.Limit
[ "Eq.mpr", "Preorder.toLT", "Lattice.toSemilatticeSup", "congrArg", "LinearOrder", "PartialOrder.toPreorder", "Order.isPredPrelimitRecOn", "Classical.propDecidable", "Preorder.toLE", "Order.isPredPrelimitRecOn_pred_of_not_isMin", "DistribLattice.toLattice", "id", "Order.isPredLimitRecOn._proo...
true
_private.Mathlib.Tactic.Translate.Core.0.Mathlib.Tactic.Translate.initFn._@.Mathlib.Tactic.Translate.Core.1162112896._hygCtx._hyg.2
Mathlib.Tactic.Translate.Core
[ "Lean.Name.mkNum", "IO", "Lean.Name.mkStr", "instOfNatNat", "Lean.registerTraceClass", "Lean.Name.anonymous", "Unit", "Nat", "OfNat.ofNat", "Bool.false", "Lean.Name.mkStr1" ]
false
CategoryTheory.ObjectProperty.isSeparating_unop_iff
Mathlib.CategoryTheory.Generator.Basic
[ "Opposite", "CategoryTheory.CategoryStruct.opposite", "CategoryTheory.ObjectProperty.isCoseparating_op_iff", "CategoryTheory.ObjectProperty.unop", "CategoryTheory.ObjectProperty.IsCoseparating", "Iff", "CategoryTheory.Category.opposite", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Ob...
true
_private.Mathlib.Algebra.BigOperators.Group.Finset.Gaps.0.Finset.sum_eq_sum_range_intervalGapsWithin._proof_1_5
Mathlib.Algebra.BigOperators.Group.Finset.Gaps
[ "False", "Set.mem_Iio", "Preorder.toLT", "eq_false", "Lean.Grind.iff_eq", "congrArg", "Finset", "Classical.byContradiction", "Lean.Grind.Nat.lt_eq", "Membership.mem", "Eq.mp", "id", "instOfNatNat", "Finset.mem_range", "LE.le", "instLENat", "Finset.range", "instHAdd", "Iff", "Fi...
false
Std.DTreeMap.Internal.Impl.get?ₘ_eq_getValueCast?
Std.Data.DTreeMap.Internal.WF.Lemmas
[ "Eq.mpr", "Std.DTreeMap.Internal.Impl.applyCell", "Std.Internal.List.getValueCast?._proof_1", "and_true", "Ord", "Iff.of_eq", "Std.DTreeMap.Internal.Impl.get?ₘ", "congrArg", "Option.toList", "Std.Internal.List.getValueCast?", "Std.TransOrd", "Std.DTreeMap.Internal.Impl.Ordered", "Std.DTreeMa...
true
CategoryTheory.MorphismProperty.IsLocalAtTarget.mk_of_small
Mathlib.CategoryTheory.MorphismProperty.Local
[ "CategoryTheory.MorphismProperty", "CategoryTheory.Limits.pullback", "CategoryTheory.PreZeroHypercover.f", "CategoryTheory.Precoverage", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Precoverage.HasPullbacks", "CategoryTheory.Limits.pullback.snd", "CategoryTheory.Precoverag...
true
MeasureTheory.SignedMeasure.null_of_totalVariation_zero
Mathlib.MeasureTheory.VectorMeasure.Decomposition.Jordan
[ "MeasureTheory.JordanDecomposition.posPart", "MeasureTheory.SignedMeasure.totalVariation", "Eq.mpr", "ENNReal.instAdd", "MeasureTheory.JordanDecomposition.toSignedMeasure", "Real", "MeasureTheory.Measure", "MeasurableSet", "ENNReal.instAddCommMonoid", "sub_self", "Real.instZero", "congrArg", ...
true
ContinuousLinearMap.completion._proof_4
Mathlib.Topology.Algebra.LinearMapCompletion
[ "LinearMap.toAddMonoidHom", "UniformSpace", "ZeroHom.toFun", "AddCommGroup.toAddCommMonoid", "ContinuousLinearMap.completion._proof_1", "AddMonoid.toAddZeroClass", "AddCommGroup.toAddGroup", "RingHom", "AddMonoidHom.toZeroHom", "AddZeroClass.toAddZero", "AddCommGroup", "ContinuousLinearMap.toL...
false
LinearGrowth.le_linearGrowthSup_iff
Mathlib.Analysis.Asymptotics.LinearGrowth
[ "instAddCommMonoidWithOneEReal", "Iff.mpr", "Eq.mpr", "EReal.instDivInvMonoid", "Preorder.toLT", "instHDiv", "HMul.hMul", "congrArg", "Filter.isBounded_le_of_top", "Filter.map", "Nat.cast_lt._simp_1", "Filter.Eventually", "Iff.rfl", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", ...
true
CategoryTheory.Abelian.SpectralObject.homologyDataIdId_right_ι
Mathlib.Algebra.Homology.SpectralObject.Page
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Abelian.SpectralObject.H", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "CategoryTheory.Abelian", "CategoryTheory.ComposableArrows", "CategoryTheory.CategoryStruct.id", ...
true
Lean.Meta.Tactic.Backtrack.BacktrackConfig.discharge._default
Lean.Meta.Tactic.Backtrack
[ "Lean.MVarId", "Lean.Meta.MetaM", "id", "List", "Alternative.failure", "Lean.Meta.instAlternativeMetaM", "Option" ]
false
Module.Free.chooseBasis._proof_1
Mathlib.LinearAlgebra.FreeModule.Basic
[ "Module.free_iff_set", "Exists.choose_spec", "Exists", "Set.Elem", "Module.Free.ChooseBasisIndex._proof_1", "AddCommMonoid", "Module.Free", "Module.Basis", "Iff.mp", "Semiring", "Nonempty", "Exists.choose", "Module", "Set" ]
false
_private.Std.Data.ExtTreeMap.Lemmas.0.Std.ExtTreeMap.alter_eq_empty_iff._simp_1_1
Std.Data.ExtTreeMap.Lemmas
[ "_private.Std.Data.ExtTreeMap.Lemmas.0.Std.ExtTreeMap.ext_iff", "Ordering", "Std.ExtTreeMap", "Std.ExtTreeMap.inner", "propext", "Std.ExtDTreeMap", "Eq" ]
false
_private.Mathlib.Control.Basic.0.map_seq._simp_1_1
Mathlib.Control.Basic
[ "Pure.pure", "Seq.seq", "Applicative.toPure", "Applicative", "Unit", "LawfulApplicative.pure_seq", "Applicative.toFunctor", "Applicative.toSeq", "Eq.symm", "Eq", "Functor.map", "LawfulApplicative" ]
false
_private.Mathlib.Tactic.ToFun.0.Mathlib.Tactic.toFunImpl.match_3
Mathlib.Tactic.ToFun
[ "Lean.TSyntax", "Option.ctorIdx", "Option.some", "Nat.hasNotBit", "List.cons", "Lean.SyntaxNodeKind", "_private.Mathlib.Tactic.ToFun.0.Mathlib.Tactic.toFunImpl._sparseCasesOn_3", "Lean.Name.mkStr1", "List.nil", "Option" ]
false
Numbering.prefixedEquiv._proof_14
Mathlib.Combinatorics.KatonaCircle
[ "Eq.mpr", "Compl.compl", "Finset", "Finset.mem_compl._simp_1", "Membership.mem", "BooleanAlgebra.toCompl", "id", "Fintype", "Finset.instSetLike", "Finset.booleanAlgebra", "Eq", "Not", "SetLike.instMembership", "DecidableEq" ]
false
Order.IsSuccLimit.sSup_Iio
Mathlib.Order.SuccPred.CompleteLinearOrder
[ "ConditionallyCompleteLinearOrderBot", "PartialOrder.toPreorder", "Order.IsSuccLimit", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", "Order.IsSuccLimit.isSuccPrelimit", "ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder", "ConditionallyCompletePartialOrderSup.to...
true
Std.Tactic.BVDecide.LRAT.Internal.Clause.isUnit
Std.Tactic.BVDecide.LRAT.Internal.Clause
[ "outParam", "Std.Tactic.BVDecide.LRAT.Internal.Clause", "Std.Sat.Literal", "Option" ]
true
IsLocalizedModule.commonDenom
Mathlib.Algebra.Module.LocalizedModule.Int
[ "instHSMul", "IsLocalizedModule.exist_integer_multiples", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "Finset", "AddMonoid.toAddZeroClass", "IsLocalizedModule", "Membership.mem", "AddZeroClass.toAddZero", "Subtype", "DistribSMul.toSMulZeroClass", "IsLocalizedModule.IsInteger",...
true
Affine.Simplex.excenterWeights_compl
Mathlib.Geometry.Euclidean.Incenter
[ "AddGroup.toSubtractionMonoid", "Pi.Function.module", "InnerProductSpace.toNormedSpace", "NegZeroClass.toNeg", "Nat.instMulZeroClass", "neg_smul", "Real", "instHSMul", "Pi.instNeg", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "instSMulOfMul", "Pi.addGroup", "Divis...
true
TensorPower.gMul._proof_4
Mathlib.LinearAlgebra.TensorPower.Basic
[ "instSMulOfMul", "CommSemiring.toSemiring", "IsScalarTower", "PiTensorProduct.instSMul", "AddCommMonoid", "instDistribOfSemiring", "CommSemiring", "instHAdd", "Distrib.toMul", "HAdd.hAdd", "Nat", "instAddNat", "PiTensorProduct", "Module", "Fin", "PiTensorProduct.instIsScalarTower" ]
false
Set.instFintypeIio.eq_1
Mathlib.Order.Interval.Finset.Defs
[ "Finset.Iio", "LocallyFiniteOrderBot", "Set.Elem", "Fintype.ofFinset", "Fintype", "Eq.refl", "Finset.mem_Iio", "Set.instFintypeIio", "Set.Iio", "Eq", "Preorder" ]
true
AntivaryOn.empty
Mathlib.Order.Monotone.Monovary
[ "Preorder.toLT", "False.elim", "Preorder.toLE", "Membership.mem", "AntivaryOn", "LE.le", "LT.lt", "Set.instEmptyCollection", "EmptyCollection.emptyCollection", "Set.instMembership", "Preorder", "Set" ]
true
_private.Mathlib.NumberTheory.SumFourSquares.0.Int.sq_add_sq_of_two_mul_sq_add_sq._simp_1_1
Mathlib.NumberTheory.SumFourSquares
[ "NonAssocSemiring.toAddCommMonoidWithOne", "Dvd.dvd", "Nat.instAtLeastTwoHAddOfNat", "semigroupDvd", "SemigroupWithZero.toSemigroup", "Distrib.toAdd", "AddMonoidWithOne.toNatCast", "instOfNatNat", "AddCommMonoidWithOne.toAddMonoidWithOne", "NonUnitalSemiring.toSemigroupWithZero", "instDistribOfS...
false
Representation.Coinvariants.hom_ext_iff
Mathlib.RepresentationTheory.Coinvariants
[ "Monoid", "CommRing", "Representation", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "HEq.refl", "AddCommGroup", "Eq.casesOn", "Representation.Coinvariants.hom_ext", "LinearMap", "LinearMap.comp", "Representation.Coinvariants", "CommRing.toCommSemiring", "Iff", "Iff.intro",...
true
ValuativeRel.IsRankLeOne.mk
Mathlib.RingTheory.Valuation.ValuativeRel.Basic
[ "ValuativeRel.IsRankLeOne", "ValuativeRel.RankLeOneStruct", "ValuativeRel.IsRankLeOne.mk", "Semiring", "Nonempty", "ValuativeRel" ]
true
CategoryTheory.Limits.initialMonoClass_of_coproductsDisjoint
Mathlib.CategoryTheory.Limits.Shapes.DisjointCoproduct
[ "CategoryTheory.Limits.IsInitial.hom_ext", "CategoryTheory.Limits.BinaryCofan.inr", "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.CoproductsOfShapeDisjoint.coproductDisjoint", "CategoryTheory.Functor.category", ...
true
DifferentiableOn.sub_iff_left._simp_2
Mathlib.Analysis.Calculus.FDeriv.Add
[ "NormedSpace", "NormedSpace.toModule", "HSub.hSub", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "SubNegMonoid.toSub", "instHSub", "SeminormedAddCommGroup.toPseudoMetricSpace", "AddGroup.toSubNegMonoid", "DifferentiableOn", "propext", "NontriviallyNormedField", "NormedAddCo...
false
BitVec.noConfusionType
Init.Prelude
[ "instPowNat", "BitVec", "instOfNatNat", "instNatPowNat", "BitVec.casesOn", "HPow.hPow", "Nat", "HEq", "instHPow", "OfNat.ofNat", "Fin" ]
false
Function.Antiperiodic.funext'
Mathlib.Algebra.Ring.Periodic
[ "Iff.mpr", "Pi.involutiveNeg", "neg_eq_iff_eq_neg", "instHAdd", "InvolutiveNeg", "HAdd.hAdd", "Function.Antiperiodic", "Function.Antiperiodic.funext", "InvolutiveNeg.toNeg", "Eq", "Neg.neg", "Add" ]
true
SimpleGraph.IsCompleteBetween.disjoint
Mathlib.Combinatorics.SimpleGraph.Basic
[ "Iff.mpr", "Set.disjoint_left", "PartialOrder.toPreorder", "Preorder.toLE", "Disjoint", "Membership.mem", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "BiheytingAlgebra.toHeytingAlgebra", "BiheytingAlgebra.toCoheytingAlgebra", "Set.instDistribLattice", "BooleanAlgebra.toBiheyti...
true
BialgCat.category
Mathlib.Algebra.Category.BialgCat.Basic
[ "Quiver.mk", "BialgCat.instBialgebra", "CommRing", "Coalgebra.toCoalgebraStruct", "CategoryTheory.CategoryStruct.mk", "BialgCat", "BialgCat.category._proof_1", "Bialgebra.toCoalgebra", "BialgHom.id", "BialgCat.category._proof_3", "CategoryTheory.Category.mk", "BialgCat.Hom.toBialgHom'", "Alg...
true
Array.getElem?_zip_eq_some
Init.Data.Array.Zip
[ "Eq.mpr", "congrArg", "Array.getElem?_zipWith_eq_some", "_private.Init.Data.Array.Zip.0.Array.zip.eq_1", "Option.some.injEq", "Option.some", "Exists", "Eq.mp", "id", "Prod.mk", "Prod.fst", "Array", "And.casesOn", "And", "Iff", "Exists.casesOn", "Nat", "Prod.mk.injEq", "And.intro"...
true
Std.TreeMap.Raw.maxKey!_insert
Std.Data.TreeMap.Raw.Lemmas
[ "Std.TreeMap.Raw.maxKey!", "Std.TreeMap.Raw.WF.out", "Std.TreeMap.Raw.insert", "Std.TreeMap.Raw.maxKey?", "Ordering", "instDecidableEqBool", "Std.TransCmp", "Std.TreeMap.Raw.WF", "Std.TreeMap.Raw.inner", "Std.TreeMap.Raw", "Bool.true", "Std.DTreeMap.Raw.maxKey!_insert", "Bool", "Inhabited"...
true
_private.Mathlib.Algebra.Ring.NonZeroDivisors.0.le_nonZeroDivisorsLeft_iff_isLeftRegular._simp_1_1
Mathlib.Algebra.Ring.NonZeroDivisors
[ "SetLike", "SetLike.le_def", "Membership.mem", "LE.le", "LE", "IsConcreteLE", "propext", "Eq", "SetLike.instMembership" ]
false
Fin.castLT_sub_nezero._proof_2
Mathlib.Data.Fin.Basic
[ "_private.Mathlib.Data.Fin.Basic.0.Fin.castLT_sub_nezero._proof_1", "Zero.ofOfNat0", "HSub.hSub", "instSubNat", "Ne", "instOfNatNat", "Fin.val", "instHSub", "Nat", "LT.lt", "instLTFin", "Zero.toOfNat0", "OfNat.ofNat", "Fin" ]
false
FirstOrder.Language.PartialEquiv.mk.injEq
Mathlib.ModelTheory.PartialEquiv
[ "Eq.propIntro", "FirstOrder.Language.Equiv", "Lean.injEq_helper", "FirstOrder.Language.Substructure.inducedStructure", "Membership.mem", "FirstOrder.Language.Substructure.instSetLike", "HEq.homo_ndrec", "Subtype", "FirstOrder.Language.PartialEquiv.mk.inj", "FirstOrder.Language.Substructure", "Fi...
true
norm_pow
Mathlib.Analysis.Normed.Ring.Basic
[ "NormOneClass", "Norm.norm", "SeminormedRing.toNorm", "Real", "AddGroupWithOne.toAddMonoidWithOne", "SeminormedRing.toRing", "Real.semiring", "NormMulClass", "instDistribOfSemiring", "Monoid.toPow", "instMulZeroOneClassOfSemiring", "AddMonoidWithOne.toOne", "Real.instMonoid", "HPow.hPow", ...
true
Std.TreeMap.keys.eq_1
Std.Data.TreeSet.Iterator
[ "Std.TreeMap.inner", "Std.TreeMap.keys", "Ordering", "List", "Eq.refl", "Std.DTreeMap.keys", "Eq", "Std.TreeMap" ]
true
_private.Std.Data.Internal.List.Associative.0.Std.Internal.List.minKey?_eq_some_iff_getKey?_eq_self_and_forall._simp_1_2
Std.Data.Internal.List.Associative
[ "Option.some", "Exists", "Option.map", "And", "propext", "Eq", "Option.map_eq_some_iff", "Option" ]
false
Lean.instHashableLevelMVarId.hash
Lean.Level
[ "UInt64.instOfNat", "mixHash", "UInt64", "Lean.LevelMVarId", "Hashable.hash", "_private.Lean.Level.0.Lean.instHashableLevelMVarId.hash.match_1", "Lean.Name", "OfNat.ofNat", "Lean.instHashableName" ]
true
List.unattach_append
Init.Data.List.Attach
[ "List.unattach", "congrArg", "List.map", "Subtype", "instHAppendOfAppend", "List", "True", "eq_self", "of_eq_true", "congrFun'", "List.map_append", "List.instAppend", "Subtype.val", "Eq", "HAppend.hAppend", "Eq.trans" ]
true
TopologicalSpace.Opens.coe_eq_univ._simp_1
Mathlib.Topology.Sets.Opens
[ "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "TopologicalSpace.Opens.instCompleteLattice", "Set.univ", "PartialOrder.toPreorder", "TopologicalSpace.Opens", "Preorder.toLE", "CompleteLattice.toBoundedOrder", "TopologicalSpace.Opens.instSetLike", "TopologicalSpace", "OrderTop.toTop", ...
false