name
string
module
string
deps
list
allowCompletion
bool
mulEquivOfOrderOfEq
Mathlib.GroupTheory.SpecificGroups.Cyclic
[ "mulEquivOfOrderOfEq._proof_4", "Monoid.toMulOneClass", "monoidHomOfForallMemZpowers", "Group", "Membership.mem", "MulOne.toMul", "DivInvMonoid.toMonoid", "Subgroup", "MonoidHom.toMulEquiv", "Group.toDivInvMonoid", "orderOf", "MulOneClass.toMulOne", "Nat", "Subgroup.zpowers", "MulEquiv",...
true
WithZero.instMonoidWithZero.match_1
Mathlib.Algebra.GroupWithZero.WithZero
[ "Unit.unit", "Option.casesOn", "Option.some", "Option.none", "Unit", "WithZero" ]
false
commutatorElement_one_left
Mathlib.GroupTheory.Commutator.Basic
[ "MulOne.toOne", "InvOneClass.toOne", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "Bracket.bracket", "Group", "Group.toDivisionMonoid", "DivisionMonoid.toDivInvOneMonoid", "DivInvMonoid.toMonoid", "commutatorElement", "Group.toDivInvMonoid", "MulOneClass.toMulOne", "One.toOfNat1"...
true
CategoryTheory.Over.iteratedSliceForwardIsoPost_hom_app
Mathlib.CategoryTheory.Comma.Over.Basic
[ "CategoryTheory.Over", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Over.Hom.left", "CategoryTheory.Over.mk", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Over.forget", "CategoryTheory.instCategoryOver",...
true
Filter.univ_pi_mem_pi
Mathlib.Order.Filter.Cofinite
[ "Filter.instMembership", "congrArg", "Compl.compl", "Set.mem_univ._simp_1", "Set.univ", "Filter.Eventually", "setOf", "Membership.mem", "Filter.mp_mem", "id", "Set.instCompl", "dite", "True", "of_eq_true", "Filter.pi", "Filter.cofinite", "congrFun'", "Set.pi", "Set.decidableEq", ...
true
_private.Mathlib.Data.Set.Card.Arithmetic.0.Set.Infinite.exists_union_disjoint_cardinal_eq_of_infinite._simp_1_2
Mathlib.Data.Set.Card.Arithmetic
[ "Set.instUnion", "Set.preimage_union", "Set.preimage", "Union.union", "Eq.symm", "Eq", "Set" ]
false
ProbabilityTheory.variance_sum_pi
Mathlib.Probability.Moments.Variance
[ "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "MeasureTheory.AEStronglyMeasurable.aemeasurable", "Real", "MeasureTheory.Measure", "Pi.addCommMonoid", "Finset.univ", "Measurable.aemeasurable", "AEMeasurable", "congrArg", "Finset", "Nat.instAtLeastTwoHAddOfNat", "ProbabilityTheory.iIndepFun...
true
Array.isEmpty_eq_false_iff_exists_mem
Init.Data.Array.Lemmas
[ "Eq.mpr", "congrArg", "Array.instMembership", "Membership.mem", "Exists", "Array.isEmpty", "Eq.mp", "Array.casesOn", "id", "List.mem_toArray._simp_1", "Ne", "List.isEmpty_eq_false_iff._simp_1", "List.toArray", "Array", "List.isEmpty_eq_false_iff_exists_mem", "funext", "List", "Iff"...
true
_private.Mathlib.Analysis.SumIntegralComparisons.0.AntitoneOn.integral_le_sum._simp_1_6
Mathlib.Analysis.SumIntegralComparisons
[ "Preorder.toLE", "Membership.mem", "LE.le", "And", "Set.Icc", "propext", "Set.mem_Icc", "Eq", "Set.instMembership", "Preorder", "Set" ]
false
RingHom.pi._proof_4
Mathlib.Algebra.Ring.Pi
[ "NonAssocSemiring.toAddCommMonoidWithOne", "ZeroHom.toFun", "AddMonoid.toAddZeroClass", "RingHom", "AddMonoidHom.toZeroHom", "AddZeroClass.toAddZero", "AddCommMonoidWithOne.toAddMonoidWithOne", "RingHom.toAddMonoidHom", "AddZero.toZero", "instHAdd", "AddMonoidHom.pi", "NonAssocSemiring", "HA...
false
String.Pos.le_skipWhile._simp_1
Init.Data.String.Lemmas.Pattern.TakeDrop.Basic
[ "String", "String.Slice.Pattern.Model.LawfulForwardPatternModel", "LE.le", "String.Slice.Pattern.ForwardPattern", "True", "String.Pos", "eq_true", "String.Pos.le_skipWhile", "String.instLEPos", "String.Slice.Pattern.Model.PatternModel", "String.Pos.skipWhile", "Eq" ]
false
MeasureTheory.Measure.compProd_eq_comp_prod
Mathlib.Probability.Kernel.Composition.MeasureComp
[ "Eq.mpr", "Unit.unit", "MeasureTheory.Measure", "ProbabilityTheory.Kernel.const.instIsSFiniteKernel", "congrArg", "ProbabilityTheory.Kernel.comp", "MeasureTheory.Measure.compProd.eq_1", "ProbabilityTheory.IsSFiniteKernel", "ProbabilityTheory.Kernel.instFunLike", "id", "ProbabilityTheory.Kernel.c...
true
MeasureTheory.integral_conv
Mathlib.MeasureTheory.Group.IntegralConvolution
[ "Eq.mpr", "Real", "MeasureTheory.Measure", "NormedSpace", "congrArg", "AEMeasurable.add", "MeasureTheory.integral_map", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "MeasureTheory.Integrable", "Function.comp", "AddZeroClass.toAddZero", "SeminormedAddGroup.toContinuousENorm...
true
Composition.mk._flat_ctor
Mathlib.Combinatorics.Enumerative.Composition
[ "Nat.instMulZeroClass", "Composition.mk", "List.sum", "Membership.mem", "instOfNatNat", "Composition", "List", "List.instMembership", "Nat", "LT.lt", "instAddNat", "instLTNat", "OfNat.ofNat", "Eq", "MulZeroClass.toZero" ]
false
CategoryTheory.Limits.limit.cone_x
Mathlib.CategoryTheory.Limits.HasLimits
[ "CategoryTheory.Functor", "CategoryTheory.Limits.HasLimit", "CategoryTheory.Limits.limit.cone", "CategoryTheory.Limits.Cone.pt", "CategoryTheory.Limits.limit", "Eq", "rfl", "CategoryTheory.Category" ]
true
LineDeriv.«_aux_Mathlib_Analysis_Distribution_DerivNotation___macroRules_LineDeriv_term∂_{_}_1»
Mathlib.Analysis.Distribution.DerivNotation
[ "Pure.pure", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Syntax.ident", "instMonadExceptOfMonadExceptOf", "String", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.TSyntax.mk", "Lean.Syntax", "ReaderT.instMonad"...
false
Bundle.Trivialization.eqOn
Mathlib.Topology.FiberBundle.Trivialization
[ "Bundle.Trivialization.toFun'", "Bundle.Trivialization.coe_fst", "instTopologicalSpaceProd", "Function.comp", "Membership.mem", "Set.EqOn", "Prod.fst", "TopologicalSpace", "Bundle.Trivialization", "PartialEquiv.source", "Prod", "OpenPartialHomeomorph.toPartialEquiv", "Set.instMembership", ...
true
CategoryTheory.Mat.id_apply_of_ne
Mathlib.CategoryTheory.Preadditive.Mat
[ "NonAssocSemiring.toAddCommMonoidWithOne", "eq_false", "congrArg", "Finite", "Classical.propDecidable", "CategoryTheory.CategoryStruct.id", "Ne", "CategoryTheory.ObjectProperty.FullSubcategory.obj", "AddCommMonoidWithOne.toAddMonoidWithOne", "AddMonoidWithOne.toOne", "CategoryTheory.Mat", "Tru...
true
IsAddUnit.add_eq_zero_iff_eq_neg
Mathlib.Algebra.Group.Units.Basic
[ "NegZeroClass.toNeg", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "SubtractionMonoid.toSubNegZeroMonoid", "IsAddUnit", "SubtractionMonoid.toSubNegMonoid", "SubNegZeroMonoid.toNegZeroClass", "instHAdd", "Iff", "HAdd.hAdd", "SubtractionMonoid", "AddUnits.add_eq_zero_iff_eq_neg", "Add...
true
Metric.unitBall.instSemigroupWithZero
Mathlib.Analysis.Normed.Field.UnitBall
[ "SemigroupWithZero", "NonUnitalSeminormedRing", "Real", "Metric.unitBall.instSemigroup", "NonUnitalNonAssocSemiring.toMulZeroClass", "NonUnitalRing.toNonUnitalNonAssocRing", "Set.Elem", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "Metric.ball", "Real.instOne", "SemigroupWithZero.mk", ...
true
Pi.isCompact_iff_of_isClosed
Mathlib.Topology.Compactness.Compact
[ "Pi.topologicalSpace", "Set.univ", "isCompact_univ_pi", "Function.eval", "IsClosed", "TopologicalSpace", "Iff", "IsCompact.of_isClosed_subset", "Iff.intro", "continuous_apply", "Set.image", "Set.pi", "IsCompact.image", "Set.subset_pi_eval_image", "IsCompact", "Set" ]
true
TemperedDistribution.instFourierTransformInv
Mathlib.Analysis.Distribution.TemperedDistribution
[ "instInnerProductSpaceRealComplex", "TemperedDistribution.instLineDeriv._proof_1", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "Real", "TemperedDistribution.instFourierTransformInv._proof_1", "PointwiseConvergenceCLM", "Complex.instNormedAddCommGroup", "SchwartzMap.inst...
true
Subgroup.zpowers_one_eq_bot
Mathlib.Algebra.Group.Subgroup.ZPowers.Basic
[ "Iff.mpr", "InvOneClass.toOne", "DivInvOneMonoid.toInvOneClass", "Group", "Group.toDivisionMonoid", "DivisionMonoid.toDivInvOneMonoid", "Subgroup", "Bot.bot", "Subgroup.zpowers_eq_bot", "Subgroup.zpowers", "One.toOfNat1", "Subgroup.instBot", "OfNat.ofNat", "Eq", "rfl" ]
true
AddCommSemigroup.add_comm
Mathlib.Algebra.Group.Defs
[ "AddCommSemigroup.toAddSemigroup", "instHAdd", "AddSemigroup.toAdd", "HAdd.hAdd", "AddCommSemigroup", "Eq" ]
true
BitVec.shiftRight_sub_one_eq_shiftConcat
Init.Data.BitVec.Lemmas
[ "BitVec.getElem_shiftConcat._proof_2", "Eq.mpr", "Decidable.casesOn", "BitVec.getElem_shiftConcat", "BitVec.instHShiftRightNat", "congrArg", "HSub.hSub", "Decidable", "BitVec", "Eq.rec", "BitVec.getLsbD", "id", "instSubNat", "instOfNatNat", "if_pos", "_private.Init.Data.BitVec.Lemmas.0...
true
_private.Lean.Elab.Tactic.Conv.Pattern.0.Lean.Elab.Tactic.Conv.evalPattern.match_5
Lean.Elab.Tactic.Conv.Pattern
[ "Lean.MVarId", "Nat.hasNotBit", "Array", "_private.Lean.Elab.Tactic.Conv.Pattern.0.Lean.Elab.Tactic.Conv.evalPattern._sparseCasesOn_5", "Lean.Elab.Tactic.Conv.PatternMatchState", "Lean.Elab.Tactic.Conv.PatternMatchState.all", "Lean.Elab.Tactic.Conv.PatternMatchState.ctorIdx" ]
false
_private.Lean.Server.Completion.CompletionCollectors.0.Lean.Server.Completion.runM
Lean.Server.Completion.CompletionCollectors
[ "Pure.pure", "_private.Lean.Server.Completion.CompletionCollectors.0.Lean.Server.Completion.State", "instMonadExceptOfMonadExceptOf", "Lean.Server.RequestCancellation", "Lean.Core.instMonadLiftIOCoreM", "_private.Lean.Server.Completion.CompletionCollectors.0.Lean.Server.Completion.State.mk", "instMonadE...
true
AlgebraicGeometry.Scheme.Modules.instCategory._proof_2
Mathlib.AlgebraicGeometry.Modules.Sheaf
[ "AlgebraicGeometry.Scheme", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "TopologicalSpace.Opens.instPartialOrder", "CommRingCat", "PartialOrder.toPreorder", "TopologicalSpace.Opens", "CategoryTheory.CategoryStruct.id", "inferInstance", "Co...
false
CategoryTheory.fieldEndOfFiniteDimensional._proof_10
Mathlib.CategoryTheory.Preadditive.Schur
[ "Semigroup.toMul", "HMul.hMul", "CategoryTheory.instDivisionRingEndOfHasKernelsOfSimple", "inferInstance", "NNRat", "DivisionRing.toRing", "DivisionRing.nnqsmul", "CategoryTheory.End", "CategoryTheory.Preadditive", "DivisionRing.nnqsmul_def", "Semiring.toMonoid", "CategoryTheory.Preadditive.pr...
false
Std.Internal.List.Const.isSome_minKey?_modifyKey_eq_isSome
Std.Data.Internal.List.Associative
[ "Bool.not", "Ord", "congrArg", "Std.Internal.List.Const.isEmpty_modifyKey", "Std.TransOrd", "Std.Internal.List.minKey?", "Std.Internal.List.Const.modifyKey", "List", "Std.Internal.List.isSome_minKey?_eq_not_isEmpty", "List.isEmpty", "congr", "True", "eq_self", "Bool", "of_eq_true", "St...
true
_private.Mathlib.Combinatorics.KatonaCircle.0.Numbering.prefixedEquiv._simp_25
Mathlib.Combinatorics.KatonaCircle
[ "DFunLike.ext_iff", "DFunLike", "propext", "Eq", "DFunLike.coe" ]
false
Std.Sat.AIG.RefVec.IfInput.mk
Std.Sat.AIG.If
[ "Std.Sat.AIG.RefVec.IfInput", "Std.Sat.AIG.Ref", "Std.Sat.AIG", "Nat", "Std.Sat.AIG.RefVec.IfInput.mk", "Hashable", "Std.Sat.AIG.RefVec", "DecidableEq" ]
true
_private.Mathlib.Lean.Meta.RefinedDiscrTree.Encode.0.Lean.Meta.RefinedDiscrTree.encodingStepWithEta._proof_1
Mathlib.Lean.Meta.RefinedDiscrTree.Encode
[ "_private.Mathlib.Lean.Meta.RefinedDiscrTree.Encode.0.Lean.Meta.RefinedDiscrTree.Context", "instNonemptyOfMonad", "ReaderT", "ReaderT.instMonad", "Lean.Meta.MetaM", "Lean.Meta.RefinedDiscrTree.Key", "List", "Lean.Meta.RefinedDiscrTree.LazyEntry", "Lean.Meta.instMonadMetaM", "instNonemptyOfInhabite...
false
Lean.getPPAnalyzeTrustSubtypeMk
Lean.PrettyPrinter.Delaborator.TopDownAnalyze
[ "Lean.pp.analyze.trustSubtypeMk", "Lean.KVMap.instValueBool", "Lean.Options.get", "Lean.Option.defValue", "Bool", "Lean.Options", "Lean.Option.name" ]
true
DividedPowers.ofInjective._proof_2
Mathlib.RingTheory.DividedPowers.Padic
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "RingHom.instRingHomClass", "Exists.choose_spec", "Semiring.toModule", "congrArg", "CommSemiring.toSemiring", "Ideal.mem_map_of_mem", "Function.Injective.eq_iff", "Decidable", "Classical.propDecidable", "RingHom", "Membership.mem", "Mono...
false
WeierstrassCurve.Jacobian.addXYZ.eq_1
Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Formula
[ "CommRing", "WeierstrassCurve.Jacobian.addY", "instOfNatNat", "WeierstrassCurve.Jacobian", "WeierstrassCurve.Jacobian.addXYZ", "Nat", "Matrix.vecEmpty", "Eq.refl", "OfNat.ofNat", "WeierstrassCurve.Jacobian.addZ", "WeierstrassCurve.Jacobian.addX", "Fin", "Eq", "Matrix.vecCons" ]
true
Lean.Elab.Do.elabDoElem._unsafe_rec
Lean.Elab.Do.Basic
[ "liftExcept", "Lean.Core.instMonadTraceCoreM", "Lean.instMonadEnvOfMonadLift", "Lean.Elab.Do.CodeLiveness", "Lean.TSyntax", "Lean.KeyedDeclsAttribute.getEntries", "Lean.MessageData", "Lean.MonadError.mk", "Unit.unit", "Lean.instMonadExceptOfExceptionCoreM", "Std.instToFormatString", "Lean.Elab...
false
Lean.Elab.DefsParsedSnapshot.isFatal._inherited_default
Lean.Elab.DefView
[ "id", "Bool", "Bool.false" ]
false
_private.Mathlib.Combinatorics.SimpleGraph.Copy.0.SimpleGraph.top_isIndContained_iff_top_isContained.match_1_1
Mathlib.Combinatorics.SimpleGraph.Copy
[ "SimpleGraph.IsContained", "SimpleGraph.Copy", "Nonempty.intro", "SimpleGraph", "BooleanAlgebra.toTop", "Nonempty.casesOn", "SimpleGraph.completeAtomicBooleanAlgebra", "Top.top", "CompleteBooleanAlgebra.toBooleanAlgebra", "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra" ]
false
PEquiv.instFunLikeOption
Mathlib.Data.PEquiv
[ "DFunLike.mk", "PEquiv.toFun", "PEquiv", "PEquiv.instFunLikeOption._proof_1", "FunLike", "Option" ]
true
ClosedIciTopology
Mathlib.Topology.Order.OrderClosed
[ "TopologicalSpace", "ClosedIciTopology.mk", "Preorder" ]
true
Stream'.Seq.set_nil
Mathlib.Data.Seq.Basic
[ "Stream'.Seq", "Stream'.Seq.nil", "Stream'.Seq.update_nil", "Nat", "Stream'.Seq.set", "Eq" ]
true
_private.Mathlib.RingTheory.Valuation.RankOne.0.Valuation.RankLeOne.exists_val_lt._simp_1_1
Mathlib.RingTheory.Valuation.RankOne
[ "Classical.or_iff_not_imp_left", "propext", "Or", "Eq", "Not" ]
false
QuadraticMap.Nondegenerate.rank_rad_polar_le
Mathlib.LinearAlgebra.QuadraticForm.Radical
[ "Submodule", "CommRing", "Cardinal.instOne", "Cardinal", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Submodule.addCommMonoid", "LinearMap.ker", "Membership.mem", "AddCommGroup", "Subtype", "Submodule.module", "LE.le", "LinearMap.module", "LinearMap", "Cardinal.instLE", ...
true
Nat.pow_mul'
Init.Data.Nat.Lemmas
[ "Nat.pow_mul", "instPowNat", "Eq.mpr", "HMul.hMul", "congrArg", "id", "instMulNat", "Nat.mul_comm", "instNatPowNat", "HPow.hPow", "Nat", "Eq.refl", "instHPow", "Eq.symm", "Eq", "instHMul" ]
true
Nat.prime_def_le_sqrt
Mathlib.Data.Nat.Prime.Defs
[ "Eq.mpr", "MulOne.toOne", "lt_of_le_of_lt", "False", "Nat.le_sqrt_of_eq_mul", "Nat.Prime", "Dvd.dvd", "HMul.hMul", "Nat.prime_def_lt'", "Nat.sqrt_lt_self", "Nat.lt_of_mul_lt_mul_right", "congrArg", "Nat.instMulOneClass", "Eq.mp", "id", "MulOne.toMul", "CommMagma.toMul", "instMulNat...
true
isLUB_ciSup
Mathlib.Order.ConditionallyCompleteLattice.Indexed
[ "iSup", "PartialOrder.toPreorder", "ConditionallyCompleteLattice", "Preorder.toLE", "BddAbove", "Set.range_nonempty", "IsLUB", "Nonempty", "ConditionallyCompletePartialOrderSup.toPartialOrder", "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder", "Set.range", "ConditionallyCompl...
true
OrderDual.instLocallyFiniteOrderTop._proof_1
Mathlib.Order.Interval.Finset.Defs
[ "Equiv.instEquivLike", "OrderDual.ofDual", "Finset", "Finset.mem_Iic", "Preorder.toLE", "Membership.mem", "LocallyFiniteOrderBot", "Equiv", "LE.le", "Iff", "Finset.instSetLike", "Finset.Iic", "OrderDual", "DFunLike.coe", "SetLike.instMembership", "Preorder", "EquivLike.toFunLike" ]
false
AlgebraNorm.isScalarTower_restriction._proof_3
Mathlib.Analysis.Normed.Unbundled.AlgebraNorm
[ "AlgebraNorm.instFunLikeReal", "NonAssocSemiring.toAddCommMonoidWithOne", "RingHom.instRingHomClass", "Real.partialOrder", "Real.instLE", "Real", "CommRing", "RingHomClass.toAddMonoidHomClass", "AddMonoid.toAddSemigroup", "SeminormedCommRing", "Algebra.algebraMap", "Ring.toNonAssocRing", "Ad...
false
CategoryTheory.SmallObject.locallySmall
Mathlib.CategoryTheory.SmallObject.IsCardinalForSmallObjectArgument
[ "CategoryTheory.MorphismProperty", "Cardinal.IsRegular", "Cardinal", "CategoryTheory.LocallySmall", "PartialOrder.toPreorder", "Preorder.toLE", "OrderBot", "SemilatticeInf.toPartialOrder", "Fact", "DistribLattice.toLattice", "linearOrder_toType", "Cardinal.ord", "CategoryTheory.Category.toCa...
true
natCast_apply
Mathlib.Data.FunLike.IsApply
[ "instHSMul", "outParam", "SMul", "NatCast", "Nat.cast", "IsNatCastApply", "Nat", "HSMul.hSMul", "IsNatCastApply.natCast_apply", "Eq", "DFunLike.coe", "FunLike" ]
true
_private.Std.Data.DTreeMap.Internal.Balancing.0.Std.DTreeMap.Internal.Impl.balanceL!.match_5.eq_2
Std.Data.DTreeMap.Internal.Balancing
[ "Std.DTreeMap.Internal.Impl.balanceL!.match_5", "Std.DTreeMap.Internal.Impl.inner", "Unit", "Std.DTreeMap.Internal.Impl.leaf", "Nat", "Eq.refl", "Eq", "Std.DTreeMap.Internal.Impl" ]
true
SimpleGraph.componentComplMk_eq_of_adj
Mathlib.Combinatorics.SimpleGraph.Ends.Defs
[ "Eq.mpr", "SimpleGraph.connectedComponentMk", "congrArg", "Compl.compl", "SimpleGraph.Adj", "SimpleGraph.Adj.reachable", "Membership.mem", "Set.Elem", "id", "SimpleGraph.ConnectedComponent", "Set.instCompl", "Subtype.mk", "SimpleGraph", "propext", "SimpleGraph.ConnectedComponent.eq", "...
true
_private.Mathlib.Algebra.Homology.HomotopyCategory.MappingCocone.0.CochainComplex.mappingCocone.inr._proof_1
Mathlib.Algebra.Homology.HomotopyCategory.MappingCocone
[ "False", "congrArg", "Classical.byContradiction", "False.casesOn", "Int.instNegInt", "Int", "instHAdd", "instOfNat", "HAdd.hAdd", "True", "eq_self", "Int.instAdd", "Lean.Grind.not_true", "Lean.Grind.intro_with_eq", "OfNat.ofNat", "Eq", "Not", "Neg.neg", "Eq.trans" ]
false
_private.Std.Data.Internal.List.Associative.0.Std.Internal.List.containsKey_filterMap_iff._simp_1_1
Std.Data.Internal.List.Associative
[ "Option.any", "Option.some", "Exists", "Option.any_eq_true", "Bool.true", "And", "propext", "Bool", "Eq", "Option" ]
false
_private.Mathlib.Topology.MetricSpace.CoveringNumbers.0.Metric.isSeparated_maximalSeparatedSet._proof_1_2
Mathlib.Topology.MetricSpace.CoveringNumbers
[ "Set.encard", "ENNReal.ofNNReal", "instTopENat", "Set.Finite", "Exists", "NNReal", "HasSubset.Subset", "Metric.packingNumber", "PseudoEMetricSpace", "And", "ENat", "Eq.refl", "Metric.exists_set_encard_eq_packingNumber", "Top.top", "Eq.mpr_prop", "Eq", "Not", "Metric.IsSeparated", ...
false
Lean.Elab.elabTerminationByHints
Lean.Elab.PreDefinition.Main
[ "Pure.pure", "Lean.Elab.PreDefinition.termination", "Lean.Elab.TerminationBy", "Option.mapM", "Lean.Elab.Term.instMonadTermElabM", "Lean.Elab.TerminationMeasure.elab", "instMonadControlTOfPure", "Lean.Elab.TerminationHints.extraParams", "Lean.Meta.State", "Lean.Meta.lambdaTelescope", "Lean.Elab....
true
CategoryTheory.Functor.CoconeTypes.mk.injEq
Mathlib.CategoryTheory.Limits.Types.ColimitType
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Eq.propIntro", "CategoryTheory.ConcreteCategory.hom", "Lean.injEq_helper", "CategoryTheory.Functor.CoconeTypes.ι_naturality._autoParam", "TypeCat.instFunLikeFun", "Function.comp", "autoParam", "CategoryTheory.Func...
true
List.cons_head!_tail
Mathlib.Data.List.Basic
[ "List.head!", "List.head!_mem_head?", "Ne", "List.tail", "List.cons", "List", "Inhabited", "Eq", "List.cons_head?_tail", "List.nil" ]
true
FirstOrder.Language.DirectLimit.cg'
Mathlib.ModelTheory.DirectLimit
[ "Preorder.toLE", "FirstOrder.Language.DirectLimit.cg", "LE.le", "FirstOrder.Language.Embedding", "FirstOrder.Language.Embedding.funLike", "FirstOrder.Language.Structure", "FirstOrder.Language.Structure.CG", "IsDirectedOrder", "FirstOrder.Language.DirectLimit.instStructureDirectLimit", "Countable",...
true
Equiv.linearEquiv._proof_4
Mathlib.Algebra.Module.TransferInstance
[ "Equiv.right_inv", "Equiv", "Equiv.toFun", "AddCommMonoid", "Equiv.addEquiv", "Equiv.add", "Function.RightInverse", "AddCommSemigroup.toAddCommMagma", "AddEquiv.toEquiv", "AddCommMonoid.toAddCommSemigroup", "Equiv.invFun", "AddCommMagma.toAdd" ]
false
_private.Batteries.Data.List.Basic.0.List.dropSliceTR.go.match_1.splitter
Batteries.Data.List.Basic
[ "instOfNatNat", "List.cons", "Array", "List", "Nat", "List.dropSliceTR.go.match_1", "OfNat.ofNat", "Nat.succ", "List.nil" ]
true
Profinite.lift_lifts
Mathlib.Topology.Category.Stonean.Basic
[ "CategoryTheory.Epi", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "Stonean.toProfinite", "TotallyDisconnectedSpace", "TopCat.str", "CategoryTheory.Projective.factorThru_comp", "Profinite", "TopCat.carrier", "Stonean", "Profinite.lift", "True", "eq_self", "Category...
true
isAddUnit_iff_exists
Mathlib.Algebra.Group.Units.Defs
[ "AddUnits.val", "AddUnits.val_neg", "AddMonoid.toAddZeroClass", "Exists", "AddZeroClass.toAddZero", "IsAddUnit", "AddZero.toZero", "instHAdd", "And", "Iff", "HAdd.hAdd", "AddUnits.neg_val", "And.intro", "Iff.intro", "AddMonoid", "Exists.intro", "_private.Mathlib.Algebra.Group.Units.D...
true
Nat.sqrt_mul_sqrt_lt_succ
Mathlib.Data.Nat.Sqrt
[ "Iff.mpr", "HMul.hMul", "Nat.sqrt_le", "instMulNat", "Nat.sqrt", "instOfNatNat", "LE.le", "instLENat", "instHAdd", "Nat.lt_succ_iff", "HAdd.hAdd", "Nat", "LT.lt", "instAddNat", "instLTNat", "OfNat.ofNat", "Nat.succ", "instHMul" ]
true
_private.Mathlib.GroupTheory.DivisibleHull.0.DivisibleHull.mk_eq_mk_iff_smul_eq_smul._simp_1_2
Mathlib.GroupTheory.DivisibleHull
[ "instHSMul", "AddMonoid.toNSMul", "Ne", "instOfNatNat", "IsAddTorsionFree", "nsmul_right_inj", "Nat", "AddMonoid", "propext", "HSMul.hSMul", "OfNat.ofNat", "Eq" ]
false
CategoryTheory.GrothendieckTopology.HOneHypercover
Mathlib.CategoryTheory.Sites.Hypercover.Homotopy
[ "CategoryTheory.GrothendieckTopology.OneHypercover.homotopicRel", "CategoryTheory.Quotient", "CategoryTheory.GrothendieckTopology", "CategoryTheory.GrothendieckTopology.OneHypercover", "CategoryTheory.GrothendieckTopology.OneHypercover.instCategory", "CategoryTheory.Category" ]
true
CategoryTheory.ComposableArrows.opEquivalence_inverse_obj
Mathlib.CategoryTheory.ComposableArrows.Basic
[ "CategoryTheory.Functor", "Opposite", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "Fin.revOrderIso", "CategoryTheory.Functor.comp", "Preorder.toLE", "CategoryTheory.ComposableArrows", "OrderIso", "CategoryTheory.Equivalence.functor", "Preorder.smallCategory", "instOfNatNat", ...
true
_private.Mathlib.Tactic.Translate.Core.0.Mathlib.Tactic.Translate.elabRename.addRule
Mathlib.Tactic.Translate.Core
[ "Pure.pure", "Lean.TSyntax", "Lean.MessageData", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Lean.NameMap", "Lean.TSyntax.getId", "Bool.not", "String", "Lean.Meta.State", "Lean.instAddErrorMessageContextOfAddMessageContextOfMonad", "Lean.MessageData.instAppend", "Lean.thro...
true
Bialgebra.TensorProduct.rid_toAlgEquiv
Mathlib.RingTheory.Bialgebra.TensorProduct
[ "Coalgebra.toCoalgebraStruct", "CommSemiring.toBialgebra", "Semiring.toModule", "Bialgebra.toCoalgebra", "CommSemiring.toSemiring", "IsScalarTower", "Algebra", "Algebra.toSMul", "Bialgebra.TensorProduct.rid", "Algebra.toModule", "Algebra.id", "Algebra.TensorProduct.leftAlgebra", "CommSemirin...
true
Matrix.UnitaryGroup.map_star_inv_eq_transpose
Mathlib.LinearAlgebra.UnitaryGroup
[ "Matrix.instStar", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "DivInvOneMonoid.toInvOneClass", "star_star", "congrArg", "CommSemiring.toSemiring", "Matrix", "Group.toDivisionMonoid", "Membership.mem", "DivisionMonoid.toDivInvOneMonoid", "Matr...
true
Matrix.invOf_fromBlocks_zero₁₂_eq
Mathlib.LinearAlgebra.Matrix.SchurComplement
[ "Eq.mpr", "NegZeroClass.toNeg", "Matrix.fromBlocks", "CommRing", "instFintypeSum", "HMul.hMul", "Invertible.congr", "CommSemiring.toSemiring", "Matrix.instMulOfFintypeOfAddCommMonoid", "Matrix", "HEq.refl", "instDecidableEqSum", "Matrix.instHMulOfFintypeOfMulOfAddCommMonoid", "AddGroupWith...
true
Nat.succ
Init.Prelude
[ "Nat", "Nat.succ" ]
true
Set.uIcc_subset_uIcc_iff_le
Mathlib.Order.Interval.Set.UnorderedInterval
[ "Lattice.toSemilatticeSup", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "SemilatticeSup.toMax", "DistribLattice.toLattice", "Set.uIcc_subset_uIcc_iff_le'", "HasSubset.Subset", "SemilatticeInf.toMin", "LE.le", "And", "Iff", "Max.max", "Set.u...
true
AddMonoid.IsTorsion.torsionAddEquiv.eq_1
Mathlib.GroupTheory.Torsion
[ "AddMonoid.IsTorsion.torsionAddEquiv", "AddSubmonoid.instTop", "AddMonoid.toAddZeroClass", "Membership.mem", "AddSubmonoid.topEquiv", "AddZeroClass.toAddZero", "Subtype", "AddSubmonoid.add", "AddSubmonoid", "AddCommMonoid", "AddEquiv.trans", "AddMonoid.IsTorsion.torsion_eq_top", "AddCommMono...
true
CategoryTheory.WithTerminal.map
Mathlib.CategoryTheory.WithTerminal.Basic
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.WithTerminal.id.match_1", "CategoryTheory.Functor.mk", "CategoryTheory.WithTerminal", "CategoryTheory.Functor.map", "CategoryTheory.WithTerminal.of", "Unit", "CategoryTheory.WithTerminal.star", "Cat...
true
Lean.Elab.Tactic.Do.SpecAttr.SpecTheorem.noConfusionType
Lean.Elab.Tactic.Do.Attr
[ "Lean.Elab.Tactic.Do.SpecAttr.SpecTheorem", "Lean.Elab.Tactic.Do.SpecAttr.SpecTheorem.casesOn", "Lean.Expr", "Lean.Meta.DiscrTree.Key", "Array", "Nat", "Eq", "Lean.Elab.Tactic.Do.SpecAttr.SpecProof" ]
false
StrictConcaveOn.congr
Mathlib.Analysis.Convex.Function
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "StrictConcaveOn", "instHSMul", "Preorder.toLT", "congrArg", "SMul", "PartialOrder.toPreorder", "Membership.mem", "PartialOrder", "id", "Distrib.toAdd", "LT.lt.le", "Ne", "AddCommMonoidWithOne.toAddMonoidWithOne", "Set.EqOn", "AddC...
true
Std.HashMap.emptyWithCapacity_equiv_iff_isEmpty
Std.Data.HashMap.Lemmas
[ "Std.HashMap.Equiv.comm", "Std.HashMap", "LawfulHashable", "Bool.true", "Iff", "EquivBEq", "Std.HashMap.isEmpty", "Std.HashMap.Equiv", "Nat", "Iff.trans", "Bool", "Std.HashMap.equiv_emptyWithCapacity_iff_isEmpty", "Hashable", "Std.HashMap.emptyWithCapacity", "BEq", "Eq" ]
true
HahnSeries.SummableFamily.smul_hsum
Mathlib.RingTheory.HahnSeries.Summable
[ "HahnSeries.support", "Eq.mpr", "not_exists._simp_1", "finsum_zero", "False", "Finset.exists_ne_zero_of_sum_ne_zero", "HahnSeries.isPWO_support", "instHSMul", "Equiv.instEquivLike", "_private.Mathlib.RingTheory.HahnSeries.Summable.0.HahnSeries.SummableFamily.smul_hsum._simp_1_1", "eq_false", "...
true
Plausible.TestResult.gaveUp.injEq
Plausible.Testable
[ "Eq.propIntro", "Plausible.TestResult.gaveUp.inj", "Plausible.TestResult", "Nat", "Eq.ndrec", "Eq.refl", "Plausible.TestResult.gaveUp", "Eq" ]
true
UniversalEnvelopingAlgebra.ι_comp_lift
Mathlib.Algebra.Lie.UniversalEnveloping
[ "LieHom", "LieHom.ext_iff", "CommRing", "Equiv.instEquivLike", "UniversalEnvelopingAlgebra.lift", "Equiv.symm_apply_apply", "AlgHom", "AlgHom.funLike", "Algebra", "Function.comp", "instRingUniversalEnvelopingAlgebra", "Equiv", "UniversalEnvelopingAlgebra", "UniversalEnvelopingAlgebra.ι", ...
true
CategoryTheory.coyonedaEquiv_coyoneda_map
Mathlib.CategoryTheory.Yoneda
[ "Eq.mpr", "CategoryTheory.Functor", "Opposite", "Equiv.instEquivLike", "CategoryTheory.coyoneda", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.coyonedaEquiv", "congrArg", "CategoryTheory.ConcreteCategory.hom", "Quiver.Hom.op", "CategoryTheory.Functor.category", "Ty...
true
CategoryTheory.GrothendieckTopology.Cover.Arrow.mk
Mathlib.CategoryTheory.Sites.Grothendieck
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Membership.mem", "CategoryTheory.Sieve.arrows", "CategoryTheory.Sieve", "CategoryTheory.GrothendieckTopology.Cover.Arrow", "CategoryTheory.GrothendieckTopology.Cover", "CategoryTheory.GrothendieckTopology", "CategoryTheory.GrothendieckTopology...
true
InnerProductGeometry.mul_norm_eq_abs_sub_sq_norm
Mathlib.Geometry.Euclidean.Sphere.Power
[ "norm_sub_sq_real", "Mathlib.Tactic.Ring.Common.mul_pf_left", "Real.instIsOrderedRing", "Norm.norm", "Mathlib.Tactic.Ring.Common.neg_zero", "SeminormedAddGroup.toNorm", "Eq.mpr", "InnerProductSpace.toNormedSpace", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Meta.Nor...
true
Order.Coframe.mk._flat_ctor
Mathlib.Order.CompleteBooleanAlgebra
[ "SemilatticeSup.mk", "LT.mk", "Order.Coframe.mk", "Preorder.mk", "InfSet.mk", "SemilatticeSup.toMax", "SupSet.mk", "Preorder.lt_iff_le_not_ge._autoParam", "Top.mk", "OrderTop.mk", "Lattice.mk", "autoParam", "HNot.mk", "And", "Iff", "Order.Coframe", "Max.max", "OrderBot.mk", "IsGL...
false
ISize.pow._f
Init.Data.SInt.Basic
[ "instOfNatNat", "ISize.mul", "Nat.below", "Unit", "ISize.instOfNat", "Nat", "Int8.pow.match_1", "OfNat.ofNat", "ISize", "Nat.succ" ]
false
_private.Lean.Meta.Tactic.FunInd.0.Lean.Tactic.FunInd.foldAndCollect.match_10
Lean.Meta.Tactic.FunInd
[ "Option.ctorIdx", "Option.some", "Nat.hasNotBit", "Lean.ConstantInfo", "_private.Lean.Meta.Tactic.FunInd.0.Lean.Tactic.FunInd.foldAndCollect._sparseCasesOn_3", "Option" ]
false
Lean.Meta.Grind.Order.ProofInfo.noConfusionType
Lean.Meta.Tactic.Grind.Order.Types
[ "Lean.Expr", "Lean.Meta.Grind.Order.NodeId", "Lean.Meta.Grind.Order.Weight", "Lean.Meta.Grind.Order.ProofInfo.casesOn", "Lean.Meta.Grind.Order.ProofInfo", "Eq" ]
false
CategoryTheory.ShortComplex.HomologyData.ofEpiMonoFactorisation.isoImage_ι_assoc
Mathlib.Algebra.Homology.ShortComplex.Abelian
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.ShortComplex.opcycles", "CategoryTheory.Category.assoc", "CategoryTheory.Limits.HasImages.has_image", "CategoryTheory.ShortComplex.HomologyData.ofEpiMonoFactorisation.isoImage", "CategoryTheory.Epi", "CategoryTheory.Mono", "CategoryTheory.Categor...
true
interior_mem_nhds
Mathlib.Topology.Neighborhoods
[ "Filter.instMembership", "Iff.mpr", "mem_interior_iff_mem_nhds", "interior_subset", "isOpen_interior", "Membership.mem", "nhds", "TopologicalSpace", "Iff", "IsOpen.mem_nhds", "interior", "Iff.intro", "Set.instMembership", "Filter", "Filter.mem_of_superset", "Set" ]
true
addMonoidEndRingEquivInt_apply
Mathlib.Algebra.Module.Equiv.Basic
[ "AddCommGroup.toAddCommMonoid", "RingEquiv.instEquivLike", "AddMonoid.toAddZeroClass", "addMonoidEndRingEquivInt", "AddCommGroup.toAddGroup", "Module.End.instMul", "AddZeroClass.toAddZero", "AddCommGroup", "Distrib.toAdd", "LinearMap.toAddHom", "LinearMap.instAdd", "AddMonoidHom.instAddCommMon...
true
Std.Iter.findM?_toList
Init.Data.Iterators.Lemmas.Consumers.Loop
[ "Pure.pure", "Std.Iter.findSomeM?_toList", "List.findSomeM?", "congrArg", "Monad.toApplicative", "Std.Iter.findSomeM?", "ULift", "Std.IteratorLoop", "Option.some", "Std.Iterators.Finite", "LawfulMonad.bind_pure_comp", "LawfulApplicative.toLawfulFunctor", "instDecidableEqBool", "LawfulMonad...
true
ULift.addZeroClass._proof_2
Mathlib.Algebra.Group.ULift
[ "Equiv.instEquivLike", "ULift", "AddZeroClass.toAddZero", "Equiv.ulift", "Equiv", "AddZero.toZero", "ULift.zero", "AddZeroClass", "Zero.toOfNat0", "OfNat.ofNat", "Eq", "DFunLike.coe", "rfl", "EquivLike.toFunLike" ]
false
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.Const.get?_inter._simp_1_2
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "beqOfOrd", "Ordering", "Std.DTreeMap.Internal.Impl.compare_ne_iff_beq_eq_false", "Ordering.eq", "Ne", "Ord.compare", "BEq.beq", "propext", "Bool", "Bool.false", "Eq" ]
false
_private.Mathlib.RingTheory.RingHom.Locally.0.RingHom.locally_iff_isLocalization.match_1_1
Mathlib.RingTheory.RingHom.Locally
[ "CommRing", "Semiring.toModule", "Algebra.algebraMap", "OreLocalization.instAlgebra", "CommSemiring.toSemiring", "Finset", "Localization.Away", "RingHom", "Membership.mem", "Exists", "Algebra.id", "Submodule.instTop", "Ideal", "RingHom.comp", "CommRing.toCommSemiring", "OreLocalization...
false
IsLocalization.map_eq
Mathlib.RingTheory.Localization.Defs
[ "RingHom.instRingHomClass", "IsLocalization.map", "IsLocalization", "Algebra.algebraMap", "CommSemiring.toSemiring", "IsLocalization.lift_eq", "PartialOrder.toPreorder", "Algebra", "Preorder.toLE", "RingHom", "Membership.mem", "Subtype", "RingHomClass.toMonoidWithZeroHomClass", "NonAssocSe...
true
_private.Lean.Meta.Tactic.Grind.AC.Seq.0.Lean.Grind.AC.Seq.reverse.go._f
Lean.Meta.Tactic.Grind.AC.Seq
[ "_private.Lean.Meta.Tactic.Grind.AC.Seq.0.Lean.Grind.AC.Seq.reverse.go.match_1", "Lean.Grind.AC.Seq.cons", "Lean.Grind.AC.Seq.below", "Lean.Grind.AC.Seq.var", "Lean.Grind.AC.Var", "Lean.Grind.AC.Seq" ]
false
MvPolynomial.coe_monomial
Mathlib.RingTheory.MvPowerSeries.Basic
[ "Eq.mpr", "Nat.instMulZeroClass", "Semiring.toModule", "AddMonoidAlgebra.addAddCommMonoid", "congrArg", "CommSemiring.toSemiring", "MvPolynomial.monomial", "LinearMap.instFunLike", "Classical.propDecidable", "MvPowerSeries", "id", "Finsupp.instDecidableEq", "MvPowerSeries.instModule", "MvP...
true
closure_eq_self_union_frontier
Mathlib.Topology.Closure
[ "frontier", "Set.union_sdiff_cancel'", "interior_subset", "subset_closure", "Set.instUnion", "TopologicalSpace", "SDiff.sdiff", "closure", "interior", "Union.union", "Eq.symm", "Eq", "Set.instSDiff", "Set" ]
true