name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
686
allowCompletion
bool
2 classes
CoxeterMatrix.E₆._proof_2
Mathlib.GroupTheory.Coxeter.Matrix
[ "Equiv.instEquivLike", "of_decide_eq_true", "Matrix", "Matrix.of", "id", "Equiv", "instOfNatNat", "Bool.true", "Nat", "Matrix.vecEmpty", "Bool", "Eq.refl", "instDecidableEqNat", "Nat.decidableForallFin", "OfNat.ofNat", "Fin", "Decidable.decide", "Eq", "DFunLike.coe", "Matrix.ve...
false
MeasureTheory.measurable_cylinderEvents_iff
Mathlib.MeasureTheory.Constructions.Cylinders
[ "Eq.mpr", "MeasurableSpace.instLE", "MeasurableSpace.comap", "MeasurableSpace.comap_comp", "Iff.of_eq", "congrArg", "_private.Mathlib.MeasureTheory.Constructions.Cylinders.0.MeasureTheory.measurable_cylinderEvents_iff._simp_1_1", "iSup", "PartialOrder.toPreorder", "Measurable", "Preorder.toLE", ...
true
CategoryTheory.InjectiveResolution.Hom.mk.injEq
Mathlib.CategoryTheory.Preadditive.Injective.Resolution
[ "CategoryTheory.InjectiveResolution.Hom", "CategoryTheory.InjectiveResolution.Hom.mk", "CategoryTheory.Limits.HasZeroMorphisms", "HomologicalComplex.instCategory", "Nat.instOne", "HomologicalComplex.Hom.f", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CochainComplex.single₀", "Eq.propI...
true
Quiver.Path.getElem_vertices_zero._proof_1
Mathlib.Combinatorics.Quiver.Path.Vertices
[ "IsRightCancelAdd.addRightStrictMono_of_addRightMono", "Nat.instCanonicallyOrderedAdd", "Lean.RArray.leaf", "Preorder.toLT", "Nat.instIsOrderedAddMonoid", "congrArg", "instIsLeftCancelAddOfAddLeftReflectLE", "covariant_swap_add_of_covariant_add", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorde...
false
HomologicalComplex.natIsoSc'_inv_app_τ₂
Mathlib.Algebra.Homology.ShortComplex.HomologicalComplex
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Functor", "HomologicalComplex.instCategory", "CategoryTheory.CategoryStruct.toQuiver", "HomologicalComplex.shortComplexFunctor'", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.ShortComplex", "HomologicalComplex", "Categor...
true
isStarProjection_iff_eq_starProjection_range
Mathlib.Analysis.InnerProductSpace.Adjoint
[ "Iff.mpr", "ContinuousLinearMap.isStarProjection_iff_isSymmetricProjection", "Eq.mpr", "InnerProductSpace.toNormedSpace", "RingHomSurjective.ids", "CompleteSpace", "ContinuousLinearMap.instStarId", "Iff.of_eq", "Submodule.starProjection", "congrArg", "NormedSpace.toModule", "PseudoMetricSpace....
true
ContinuousLinearMap.IsPositive.isSelfAdjoint
Mathlib.Analysis.InnerProductSpace.Positive
[ "InnerProductSpace.toNormedSpace", "IsSelfAdjoint", "CompleteSpace", "ContinuousLinearMap.instStarId", "NormedSpace.toModule", "ContinuousLinearMap.IsPositive", "PseudoMetricSpace.toUniformSpace", "LinearMap.IsSymmetric.isSelfAdjoint", "NormedField.toField", "ContinuousLinearMap.IsPositive.isSymme...
true
_private.Mathlib.LinearAlgebra.Dual.Defs.0.LinearMap.range_dualMap_dual_eq_span_singleton.match_1_3
Mathlib.LinearAlgebra.Dual.Defs
[ "instHSMul", "Semiring.toModule", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "Exists", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "LinearMap.module", "smulCommClass_self", "AddCommMonoid", "CommSemiring", "NonUnitalNonAssocSemiring....
false
Ordinal.uniqueIioOne._proof_1
Mathlib.SetTheory.Ordinal.Basic
[ "Ordinal.instLinearOrder", "Preorder.toLT", "Ordinal.partialOrder", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "Ordinal.instZeroLEOneClass", "Membership.mem", "SemilatticeInf.toPartialOrder", "AddZeroClass.toAddZero", "Set.Elem", "DistribLattice.toLattice", "Subtype", "Ordinal.in...
false
CategoryTheory.Bicategory._aux_Mathlib_CategoryTheory_Bicategory_Adjunction_Basic___unexpand_CategoryTheory_Bicategory_Adjunction_1
Mathlib.CategoryTheory.Bicategory.Adjunction.Basic
[ "Pure.pure", "cond", "Lean.TSyntax", "Unit.unit", "Lean.MonadRef.mkInfoFromRefPos", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "Lean.PrettyPrinter.UnexpandM", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Syntax.atom", "Lean.TSyntax.mk", "Lean.Syntax", ...
false
Equiv.permCongrHom_symm
Mathlib.Algebra.Group.End
[ "Equiv", "Equiv.permCongrHom", "Equiv.Perm", "Equiv.Perm.instMul", "MulEquiv", "Equiv.symm", "MulEquiv.symm", "Eq", "rfl" ]
true
ZMod.prime_ne_zero
Mathlib.Data.ZMod.ValMinAbs
[ "Eq.mpr", "Nat.Coprime", "Nat.Prime", "Dvd.dvd", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "ZMod.commRing", "congrArg", "AddMonoid.toAddZeroClass", "AddGroupWithOne.toAddMonoidWithOne", "NonUnitalNonAssocSemiring.toMulZeroClass", "Fact", "AddZeroClass.t...
true
CategoryTheory.ComposableArrows.Mk₁.obj
Mathlib.CategoryTheory.ComposableArrows.Basic
[ "instOfNatNat", "Nat", "LT.lt", "instLTNat", "OfNat.ofNat", "Fin", "CategoryTheory.ComposableArrows.Mk₁.obj.match_1" ]
true
String.Slice.splitInclusive
Init.Data.String.Slice
[ "String.Slice.Pattern.ToForwardSearcher.toSearcher", "String.Slice.SplitInclusiveIterator", "String.Slice", "String.Slice.Pattern.ToForwardSearcher", "String.Slice.startPos", "Std.Iter.mk", "Std.Iter", "String.Slice.SplitInclusiveIterator.operating" ]
true
Std.Iterators.Types.Flatten.mk.inj
Init.Data.Iterators.Combinators.Monadic.FlatMap
[ "Std.Iterators.Types.Flatten.mk.noConfusion", "Std.Iterators.Types.Flatten.mk", "And", "And.intro", "eq_of_heq", "HEq", "Std.IterM", "Eq", "Std.Iterators.Types.Flatten", "Option" ]
true
IsPredArchimedean.findAtom
Mathlib.Order.SuccPred.Tree
[ "OrderBot.toBot", "PartialOrder.toPreorder", "HSub.hSub", "Preorder.toLE", "OrderBot", "PartialOrder", "instSubNat", "instOfNatNat", "Bot.bot", "Nat.iterate", "IsPredArchimedean", "instHSub", "Nat", "Order.pred", "Nat.find", "IsPredArchimedean.findAtom._proof_1", "PredOrder", "OfNa...
true
Polynomial.leadingCoeffHom
Mathlib.Algebra.Polynomial.Degree.Operations
[ "MulOne.toOne", "Polynomial.leadingCoeff_mul", "MonoidHom", "OneHom.mk", "NonUnitalNonAssocSemiring.toMulZeroClass", "Polynomial.leadingCoeff", "MonoidHom.mk", "NonAssocSemiring.toMulZeroOneClass", "Polynomial", "MulZeroOneClass.toMulOneClass", "MulOneClass.toMulOne", "NoZeroDivisors", "Dist...
true
WittVector.equiv._proof_1
Mathlib.RingTheory.WittVector.Compare
[ "WittVector.toPadicInt", "RingHom.instRingHomClass", "Nat.Prime", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "ZMod.commRing", "PadicInt", "WittVector.instCommRing", "CommSemiring.toSemiring", "RingHom", "Fact", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "PadicInt...
false
list_sum_pow_char
Mathlib.Algebra.CharP.Lemmas
[ "NonAssocSemiring.toAddCommMonoidWithOne", "RingHom.instRingHomClass", "RingHomClass.toAddMonoidHomClass", "CommSemiring.toSemiring", "List.map", "List.sum", "NonUnitalNonAssocSemiring.toMulZeroClass", "RingHom", "ExpChar", "Distrib.toAdd", "AddCommMonoidWithOne.toAddMonoidWithOne", "map_list_...
true
CategoryTheory.ShortComplex.FunctorEquivalence.inverse_obj_g
Mathlib.Algebra.Homology.ShortComplex.FunctorEquivalence
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.ShortComplex", "CategoryTheory.Functor.comp", "CategoryTheory.ShortComplex.π₂Toπ₃", "CategoryTheory.ShortComplex.π₃", "Cate...
true
SSet.horn₃₂.desc._proof_1
Mathlib.AlgebraicTopology.SimplicialSet.HornColimits
[ "instNeZeroNatHAdd_1", "Opposite", "Compl.compl", "Finset", "instDecidableEqFin", "CategoryTheory.Functor.category", "Membership.mem", "BooleanAlgebra.toCompl", "SSet.stdSimplex.face", "Set.Elem", "Set.instSingletonSet", "Fin.instOfNat", "Insert.insert", "instOfNatNat", "SSet", "SSet.s...
false
Submodule.annihilator_mono
Mathlib.RingTheory.Ideal.Maps
[ "Iff.mpr", "Submodule", "instHSMul", "Semiring.toModule", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "Preorder.toLE", "Submodule.mem_annihilator", "Membership.mem", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "Submodule.instPartialOr...
true
instDecidableEqProd._proof_2
Init.Core
[ "False", "Prod.mk", "heq_of_eq", "absurd", "eq_of_heq", "Prod.noConfusion", "HEq", "Prod", "Eq", "Not", "rfl" ]
false
Std.ExtDTreeMap.maxKeyD_insertIfNew
Std.Data.ExtDTreeMap.Lemmas
[ "instDecidableEqOrdering", "Std.DTreeMap", "Ordering", "Std.ExtDTreeMap.maxKey?", "Std.TransCmp", "Std.ExtDTreeMap.insertIfNew", "Std.ExtDTreeMap.maxKeyD", "Ordering.lt", "Std.ExtDTreeMap.inductionOn", "Std.ExtDTreeMap", "Std.DTreeMap.maxKeyD_insertIfNew", "Option.elim", "Eq", "ite" ]
true
NormedAddGroupHom.Equalizer.lift.congr_simp
Mathlib.Analysis.Normed.Group.Hom
[ "NormedAddGroupHom", "SeminormedAddGroup.toAddGroup", "SeminormedAddCommGroup", "AddSubgroup.seminormedAddCommGroup", "Membership.mem", "Eq.rec", "Subtype", "NormedAddGroupHom.comp", "AddSubgroup", "SeminormedAddCommGroup.toSeminormedAddGroup", "AddSubgroup.instSetLike", "NormedAddGroupHom.equ...
true
codisjoint_subtype_iff
Mathlib.Order.Disjoint
[ "Eq.mpr", "Codisjoint", "Subtype.coe_sup", "congrArg", "Subtype.coe_top", "PartialOrder.toPreorder", "codisjoint_iff", "Subtype.coe_inj", "Preorder.toLE", "SemilatticeSup.toMax", "id", "Subtype", "Subtype.semilatticeSup", "OrderTop", "Iff", "OrderTop.toTop", "Max.max", "propext", ...
true
_private.Mathlib.RingTheory.IntegralClosure.Algebra.Ideal.0.Polynomial.exists_monic_aeval_eq_zero_forall_mem_of_mem_map._proof_1_2
Mathlib.RingTheory.IntegralClosure.Algebra.Ideal
[ "Int.Linear.eq_of_core", "Lean.RArray.leaf", "False", "CommRing", "Preorder.toLT", "Lean.Grind.not_not", "HMul.hMul", "Int.Linear.Expr.eq_of_norm_eq", "congrArg", "CommSemiring.toSemiring", "Int.Linear.le_norm_expr", "Int.Linear.le_unsat", "Int.Linear.le_neg", "Int.Linear.eq_norm", "Clas...
false
Lean.Meta.Grind.AttrKind.cases.sizeOf_spec
Lean.Meta.Tactic.Grind.Attr
[ "Lean.Meta.Grind.AttrKind.cases", "instOfNatNat", "Lean.Meta.Grind.AttrKind", "instHAdd", "HAdd.hAdd", "Lean.Meta.Grind.AttrKind._sizeOf_inst", "Nat", "SizeOf.sizeOf", "Bool", "instAddNat", "Eq.refl", "OfNat.ofNat", "Bool._sizeOf_inst", "Eq" ]
true
Convex.uniformContinuous_gauge
Mathlib.Analysis.Convex.Gauge
[ "Filter.instMembership", "UniformContinuous", "Real.partialOrder", "Real", "LipschitzWith", "SeminormedAddGroup.toAddGroup", "SeminormedAddCommGroup", "gauge", "NormedSpace", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "AddMonoid.toAddZeroClass",...
true
DFinsupp.subset_support_tsub
Mathlib.Data.DFinsupp.Order
[ "False", "DFinsupp.tsub", "eq_false", "Classical.not_not._simp_1", "congrArg", "Finset", "DFinsupp.coe_tsub", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "HSub.hSub", "Decidable", "_private.Mathlib.Data.DFinsupp.Order.0.DFinsupp.subset_support_tsub._simp_1_1", "Preorder.toLE", "...
true
IsLocallyConstant.iff_is_const
Mathlib.Topology.LocallyConstant.Basic
[ "trivial", "Set.univ", "IsLocallyConstant", "PreconnectedSpace", "TopologicalSpace", "Iff", "Iff.intro", "PreconnectedSpace.isPreconnected_univ", "IsLocallyConstant.of_constant", "Eq", "IsLocallyConstant.apply_eq_of_isPreconnected" ]
true
_private.Mathlib.Data.List.Basic.0.List.foldr_ext._simp_1_4
Mathlib.Data.List.Basic
[ "forall_eq", "propext", "Eq" ]
false
Lean.Lsp.FileChangeType.ctorIdx
Lean.Data.Lsp.Workspace
[ "Nat", "Lean.Lsp.FileChangeType", "Lean.Lsp.FileChangeType.casesOn" ]
false
Std.Sat.AIG.Decl.rec
Std.Sat.AIG.Basic
[ "Std.Sat.AIG.Decl", "Std.Sat.AIG.Decl.gate", "Std.Sat.AIG.Decl.atom", "Std.Sat.AIG.Decl.false", "Std.Sat.AIG.Fanin" ]
false
_private.Lean.Server.Completion.CompletionInfoSelection.0.Lean.Server.Completion.findCompletionInfosAt.containsHoverPos
Lean.Server.Completion.CompletionInfoSelection
[ "Pure.pure", "Lean.Syntax.Range", "Lean.Syntax.Range.contains", "_private.Lean.Server.Completion.CompletionInfoSelection.0.Lean.Server.Completion.findCompletionInfosAt.containsHoverPos.match_6", "Monad.toApplicative", "String", "Lean.Syntax.getRangeWithTrailing?", "Lean.Elab.CompletionInfo", "_priva...
true
SeparationQuotient.instNormedAlgebra._proof_2
Mathlib.Analysis.Normed.Module.Basic
[ "NormedCommRing.toSeminormedCommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "Ring.toNonAssocRing", "IsBoundedSMul.toUniformContinuousConstSMul", "PseudoMetricSpace.toUniformSpace", "NonUnitalNonAssocSemirin...
false
Equiv.funSplitAt_apply
Mathlib.Logic.Equiv.Prod
[ "Equiv.instEquivLike", "Equiv", "Subtype", "Prod.mk", "Ne", "Equiv.funSplitAt", "Eq.refl", "Prod", "Subtype.val", "Eq", "DFunLike.coe", "Not", "EquivLike.toFunLike", "DecidableEq" ]
true
HurwitzZeta.completedHurwitzZetaEven_zero
Mathlib.NumberTheory.LSeries.RiemannZeta
[ "Real", "AddCommGroup.toAddGroup", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "Real.instAddCommGroup", "SubtractionCommMonoid.toSubtractionMonoid", "Real.instOne", "UnitAddCircle", "QuotientAddGroup.Quotient.addCommGroup", "AddSubgroup.zmultiples", "HurwitzZeta.co...
true
Submodule.localized'_inf
Mathlib.Algebra.Module.LocalizedModule.Submodule
[ "Submodule", "IsLocalization", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsScalarTower", "AddMonoid.toAddZeroClass", "IsLocalizedModule", "Algebra", "Algebra.toSMul", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "Submodule.localized'", "NonAssocSemiring.toMulZ...
true
Turing.PartrecToTM2.K'.elim_update_aux
Mathlib.Computability.TuringMachine.ToPartrec
[ "Function.update", "Turing.PartrecToTM2.K'.rev", "Turing.PartrecToTM2.instDecidableEqK'", "Turing.PartrecToTM2.Γ'", "Turing.PartrecToTM2.K'.stack", "Turing.PartrecToTM2.K'.casesOn", "Turing.PartrecToTM2.K'.elim", "funext", "List", "Turing.PartrecToTM2.K'.aux", "Turing.PartrecToTM2.K'.main", "E...
true
PolynormableSpace.withSeminorms
Mathlib.Analysis.LocallyConvex.WithSeminorms
[ "NormedCommRing.toSeminormedCommRing", "Real", "Continuous", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "NormedField.toField", "AddZeroClass.toAddZero", "AddCommGroup", "Subtype", ...
true
MeasureTheory.exp_llr
Mathlib.MeasureTheory.Measure.LogLikelihoodRatio
[ "MeasureTheory.ae", "Eq.mpr", "Real", "MeasureTheory.Measure", "Preorder.toLT", "instDecidableTrue", "LinearOrder.toDecidableEq", "Real.instZero", "congrArg", "MeasureTheory.SigmaFinite", "PartialOrder.toPreorder", "setOf", "MeasureTheory.Measure.rnDeriv", "MeasureTheory.Measure.rnDeriv_lt...
true
Lean.Elab.Deriving.mkInhabitedInstanceHandler
Lean.Elab.Deriving.Inhabited
[ "Pure.pure", "Lean.isInductive", "Lean.Elab.Command.instMonadEnvCommandElabM", "IO.RealWorld", "EIO", "instDecidableEqBool", "instOfNatNat", "instMonadEIO", "Applicative.toPure", "Array", "Bool.true", "Lean.Elab.Command.instMonadCommandElabM", "Array.forM", "Lean.Elab.Command.State", "St...
true
ProbabilityTheory.mgf_sum_of_identDistrib₀
Mathlib.Probability.Moments.Basic
[ "Finset.prod_eq_pow_card", "Eq.mpr", "Real", "MeasureTheory.Measure", "ProbabilityTheory.iIndepFun.mgf_sum₀", "Pi.addCommMonoid", "AEMeasurable", "congrArg", "Finset", "Membership.mem", "id", "ProbabilityTheory.iIndepFun", "Finset.prod", "Monoid.toPow", "MeasurableSpace", "Real.instMon...
true
Finset.singleton_subset_coe._simp_1
Mathlib.Data.Finset.Insert
[ "Finset", "Set.instSingletonSet", "HasSubset.Subset", "Finset.singleton_subset_coe", "SetLike.coe", "Finset.instSetLike", "propext", "Finset.instHasSubset", "Finset.instSingleton", "Singleton.singleton", "Eq", "Set.instHasSubset", "Set" ]
false
Lean.Meta.Match.Overlaps.mk.sizeOf_spec
Lean.Meta.Match.MatcherInfo
[ "Std.TreeSet", "Std.HashMap._sizeOf_inst", "Lean.Meta.Match.Overlaps", "instOfNatNat", "Std.HashMap", "instHashableNat", "instBEqOfDecidableEq", "Ord.compare", "instHAdd", "HAdd.hAdd", "Std.TreeSet._sizeOf_inst", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "instSizeOfNat", "inst...
true
CategoryTheory.Limits.BinaryBicone.inlCokernelCofork_π
Mathlib.CategoryTheory.Limits.Shapes.BinaryBiproducts
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.Limits.BinaryBicone.inl", "CategoryTheory.Limits.BinaryBicone.pt", "CategoryTheory.Limits.BinaryBicone.snd", "CategoryTheory.Limits.walkingPara...
true
CategoryTheory.Presheaf.IsSheaf.amalgamate_map_assoc
Mathlib.CategoryTheory.Sites.Sheaf
[ "CategoryTheory.GrothendieckTopology.Cover.Arrow.Relation", "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.Presheaf.IsSheaf.amalgamate_map", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "Quiver.Hom.op", "Eq.mp", "CategoryTheory.Groth...
true
_private.Init.Data.Range.Polymorphic.UInt.0.UInt64.instLawfulUpwardEnumerableLE._simp_1
Init.Data.Range.Polymorphic.UInt
[ "UInt64", "Std.PRange.UpwardEnumerable.LE", "UInt64.ofBitVec", "BitVec", "BitVec.instUpwardEnumerable", "instOfNatNat", "UInt64.upwardEnumerableLE_ofBitVec", "Nat", "propext", "OfNat.ofNat", "Eq", "UInt64.instUpwardEnumerable" ]
false
Aesop.BuilderName.forward
Aesop.Rule.Name
[ "Aesop.BuilderName", "Aesop.BuilderName.forward" ]
true
Lean.Parser.Term.doContinue
Lean.Parser.Do
[ "Lean.Parser.Parser", "Lean.Parser.leadingNode", "instOfNatNat", "Lean.Parser.symbol", "Lean.Parser.withAntiquot", "Bool.true", "Nat", "Lean.Parser.withCache", "OfNat.ofNat", "Lean.Parser.mkAntiquot", "Bool.false", "Lean.Name.mkStr4" ]
true
_private.Lean.Elab.Term.TermElabM.0.Lean.Elab.Term.useImplicitLambda
Lean.Elab.Term.TermElabM
[ "Pure.pure", "Lean.Elab.Term.UseImplicitLambdaResult", "Lean.Elab.Term.isLocalIdent?", "Lean.Elab.Term.blockImplicitLambda", "Lean.Elab.Term.instMonadTermElabM", "ReaderT", "Lean.Meta.State", "instMonadLiftT", "Lean.Elab.Term.hasNoImplicitLambdaAnnotation", "Lean.Elab.Term.UseImplicitLambdaResult....
true
CategoryTheory.Monad.ForgetCreatesColimits.coconePoint._proof_1
Mathlib.CategoryTheory.Monad.Limits
[ "CategoryTheory.Monad.ForgetCreatesColimits.commuting", "Eq.mpr", "CategoryTheory.Monad", "CategoryTheory.Functor", "CategoryTheory.Monad.forget", "CategoryTheory.Monad.Algebra.unit_assoc", "CategoryTheory.Limits.Cocone", "CategoryTheory.Limits.IsColimit.hom_ext", "CategoryTheory.CategoryStruct.toQu...
false
_private.Mathlib.Algebra.Group.Subsemigroup.Membership.0.AddSubsemigroup.mem_biSup_of_directedOn.match_1_1
Mathlib.Algebra.Group.Subsemigroup.Membership
[ "AddSubsemigroup.instSetLike", "Membership.mem", "Exists", "And.casesOn", "And", "Exists.casesOn", "AddSubsemigroup", "And.intro", "Exists.intro", "SetLike.instMembership", "Add" ]
false
Lean.Meta.CaseValuesSubgoal.noConfusion
Lean.Meta.Match.CaseValues
[ "Lean.Meta.CaseValuesSubgoal.noConfusionType", "Lean.MVarId", "Lean.FVarId", "Lean.Meta.CaseValuesSubgoal.casesOn", "Array", "Lean.Meta.CaseValuesSubgoal", "Lean.Meta.FVarSubst", "Eq.ndrec", "Eq.refl", "Eq" ]
false
TensorPower.gmonoid._proof_1
Mathlib.LinearAlgebra.TensorPower.Basic
[ "Nat.instMulZeroClass", "instHSMul", "AddMonoid.toAddSemigroup", "GradedMonoid.GOne.toOne", "GradedMonoid.GMul.mk", "CommSemiring.toSemiring", "GradedMonoid.GMonoid.gnpowRec", "AddMonoid.toAddZeroClass", "AddMonoid.toNSMul", "Nat.instAddMonoid", "AddZeroClass.toAddZero", "GradedMonoid.GMonoid....
false
AlgebraicGeometry.ProjIsoSpecTopComponent.ToSpec.carrier._proof_2
Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Scheme
[ "SetLike", "CommRing", "AlgebraicGeometry.PresheafedSpace.carrier", "AddGroupWithOne.toAddGroup", "TopologicalSpace.Opens.instPartialOrder", "CommSemiring.toSemiring", "CategoryTheory.ConcreteCategory.hom", "ProjectiveSpectrum.basicOpen", "CommRingCat", "TopCat.instCategory", "ContinuousMap", ...
false
Ordinal.ToType.mk._proof_3
Mathlib.SetTheory.Ordinal.Basic
[ "Preorder.toLT", "isWellOrder_lt", "Ordinal.partialOrder", "PartialOrder.toPreorder", "Membership.mem", "SemilatticeInf.toPartialOrder", "Ordinal.ToType.mk._proof_2", "Eq.rec", "Ordinal.type", "inferInstance", "Set.Elem", "DistribLattice.toLattice", "linearOrder_toType", "IsWellOrder", "...
false
List.hasDecEq.match_1
Init.Prelude
[ "Decidable.isTrue", "Decidable.casesOn", "Decidable", "List", "Decidable.isFalse", "Eq", "Not" ]
false
Mathlib.Linter.DupNamespaceLinter.initFn._@.Mathlib.Tactic.Linter.Lint.3996576634._hygCtx._hyg.2
Mathlib.Tactic.Linter.Lint
[ "_private.Mathlib.Tactic.Linter.Lint.0.Mathlib.Linter.DupNamespaceLinter.dupNamespace", "IO", "Unit", "Lean.Elab.Command.addLinter" ]
false
Finset.fold_const
Mathlib.Data.Finset.Fold
[ "Std.Commutative", "Eq.mpr", "False", "congrArg", "Finset", "Finset.fold", "if_false", "Decidable", "Classical.propDecidable", "Membership.mem", "id", "Insert.insert", "_private.Mathlib.Data.Finset.Fold.0.Finset.fold_const._simp_1_2", "Finset.decidableEq", "ite_cond_eq_true", "if_pos",...
true
MonadStateOf.casesOn
Init.Prelude
[ "MonadStateOf.mk", "MonadStateOf", "MonadStateOf.rec", "PUnit", "Prod" ]
false
SemimoduleCat.hom_ext_iff
Mathlib.Algebra.Category.ModuleCat.Semi
[ "SemimoduleCat.isModule", "SemimoduleCat.moduleCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "SemimoduleCat.isAddCommMonoid", "HEq.refl", "SemimoduleCat.hom_ext", "Eq.casesOn", "SemimoduleCat", "LinearMap", "SemimoduleCat.carrier", "Iff", "Iff.intro", "Eq.ndrec", "Se...
true
Real.pow_mul_norm_iteratedFDeriv_fourier_le
Mathlib.Analysis.Fourier.FourierTransformDeriv
[ "AddGroup.toSubtractionMonoid", "Real.instIsOrderedRing", "Norm.norm", "SeminormedAddGroup.toNorm", "Eq.mpr", "InnerProductSpace.toNormedSpace", "mul_nonneg", "NormedCommRing.toSeminormedCommRing", "MulOne.toOne", "False", "pow_pos", "MeasureTheory.integral_nonneg", "Real.partialOrder", "R...
true
ContinuousMap.toAEEqFunAddHom._proof_1
Mathlib.MeasureTheory.Function.AEEqFun
[ "ContinuousMap.toAEEqFun", "TopologicalSpace.PseudoMetrizableSpace", "MeasureTheory.Measure", "ContinuousMap", "AddMonoid.toAddZeroClass", "BorelSpace", "AddZeroClass.toAddZero", "ContinuousMap.instAddZeroClassOfContinuousAdd", "IsTopologicalAddGroup.toContinuousAdd", "MeasureTheory.AEEqFun", "M...
false
_private.Std.Data.Iterators.Lemmas.Consumers.Monadic.Collect.0.Std.IterM.Equiv.toList_eq._simp_1_1
Std.Data.Iterators.Lemmas.Consumers.Monadic.Collect
[ "Monad.toApplicative", "Std.Iterators.Finite", "Std.IterM.toListRev", "LawfulMonad", "Std.Iterator", "List", "List.reverse", "Applicative.toFunctor", "Std.IterM", "Std.IterM.toList", "Std.IterM.reverse_toListRev", "Eq.symm", "Monad", "Eq", "Functor.map" ]
false
SzemerediRegularity.increment.congr_simp
Mathlib.Combinatorics.SimpleGraph.Regularity.Increment
[ "Real", "instSubsingletonDecidable", "Finset.univ", "Finset", "SimpleGraph.Adj", "DecidableRel", "Decidable", "Eq.rec", "Pi.instSubsingleton", "SzemerediRegularity.increment", "SimpleGraph", "Fintype", "Finset.instLattice", "Eq.ndrec", "Eq.refl", "Subsingleton.elim", "Finset.instOrde...
true
SkewMonoidAlgebra.equivMapDomain._proof_1
Mathlib.Algebra.SkewMonoidAlgebra.Lift
[ "Equiv.instEquivLike", "congrArg", "Finset", "AddMonoid.toAddZeroClass", "Finset.map", "Membership.mem", "AddZeroClass.toAddZero", "Equiv", "Ne", "Finset.mem_map_equiv._simp_1", "SkewMonoidAlgebra.mem_support_iff._simp_1", "AddCommMonoid", "iff_self", "AddZero.toZero", "Iff", "SkewMono...
false
ArchimedeanClass.FiniteElement._proof_1
Mathlib.Algebra.Order.Ring.StandardPart
[ "IsDomain.to_noZeroDivisors", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "IsOrderedRing", "CommSemiring.toSemiring", "LinearOrder", "PartialOrder.toPreorder", "Field.toDivisionRing", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "DivisionRing....
false
Int.getElem?_toArray_roo_eq_none
Init.Data.Range.Polymorphic.IntLemmas
[ "Std.Rco.toArray", "congrArg", "Std.PRange.instUpwardEnumerableInt", "HSub.hSub", "Int.getElem?_toArray_rco_eq_none", "Int", "LE.le", "instLENat", "Std.PRange.instIsAlwaysFiniteInt_1", "Array", "Int.instLTInt", "Option.none", "instHAdd", "instHSub", "instOfNat", "HAdd.hAdd", "Nat", ...
true
Lean.Widget.WidgetSource.mk.noConfusion
Lean.Widget.UserWidget
[ "Lean.Widget.WidgetSource.noConfusion", "Lean.Widget.WidgetSource", "String", "id", "Lean.Widget.WidgetSource.mk", "Eq" ]
false
Lean.Grind.IntModule.OfNatModule.mk_le_mk
Init.Grind.Module.Envelope
[ "Iff.rfl", "Prod.mk", "Lean.Grind.IntModule.OfNatModule.Q.mk", "LE.le", "LE", "Lean.Grind.IntModule.OfNatModule.Q", "instHAdd", "Iff", "Std.IsPreorder", "HAdd.hAdd", "Lean.Grind.AddCommMonoid.toAdd", "Lean.Grind.IntModule.OfNatModule.instLEQOfOrderedAdd", "Lean.Grind.NatModule", "Lean.Grin...
true
StructureGroupoid.id_mem_maximalAtlas
Mathlib.Geometry.Manifold.HasGroupoid
[ "chartedSpaceSelf", "Membership.mem", "StructureGroupoid", "chartedSpaceSelf_atlas._simp_1", "TopologicalSpace", "StructureGroupoid.subset_maximalAtlas", "True", "eq_self", "of_eq_true", "StructureGroupoid.maximalAtlas", "atlas", "hasGroupoid_model_space", "Eq", "Set.instMembership", "Op...
true
Array.mapIdx_mapIdx
Init.Data.Array.MapIdx
[ "Array.getElem?_mapIdx", "congrArg", "Array.mapIdx", "Function.comp", "Array", "_private.Init.Data.Array.MapIdx.0.Array.mapIdx_mapIdx._simp_1_1", "Option.map", "Option.map_map", "Nat", "congr", "LT.lt", "True", "eq_self", "of_eq_true", "implies_true", "instLTNat", "GetElem?.getElem?"...
true
_private.Mathlib.Algebra.Star.Module.0.selfAdjointPart_comp_subtype_skewAdjoint.match_1_1
Mathlib.Algebra.Star.Module
[ "NegZeroClass.toNeg", "Submodule", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "StarMul", "Subtype.casesOn", "AddCommGroup.toAddGroup", "Membership.mem", "AddZeroClass.toAddZero", "AddCommGroup", "Subtype", "DistribSMul.toSMulZeroClass", "S...
false
CategoryTheory.Sheaf.instPreservesFiniteLimitsFunctorOppositeSheafToPresheafOfHasFiniteLimits
Mathlib.CategoryTheory.Sites.Limits
[ "CategoryTheory.Functor", "CategoryTheory.Limits.PreservesFiniteLimits", "Opposite", "CategoryTheory.Limits.HasFiniteLimits", "CategoryTheory.Functor.category", "inferInstance", "CategoryTheory.Limits.PreservesFiniteLimits.mk", "CategoryTheory.Sheaf.createsLimitsOfShape", "CategoryTheory.SmallCatego...
true
AddCon.addSubgroup_quotientAddGroupCon
Mathlib.GroupTheory.QuotientGroup.Defs
[ "AddCon.instFunLikeForallProp", "QuotientAddGroup.leftRel_apply", "AddGroup.toSubtractionMonoid", "AddCon", "NegZeroClass.toNeg", "SubtractionMonoid.toInvolutiveNeg", "neg_mem_iff", "QuotientAddGroup.con._proof_1", "congrArg", "AddMonoid.toAddZeroClass", "Membership.mem", "AddZeroClass.toAddZe...
true
ContinuousMultilinearMap.uniformContinuous_restrictScalars
Mathlib.Topology.Algebra.Module.Multilinear.Topology
[ "UniformContinuous", "UniformSpace", "NormedCommRing.toSeminormedCommRing", "ContinuousSMul", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "IsScalarTower", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "SeminormedRing.toRing", "AddCommGroup.toAddGroup", "...
true
BoxIntegral.unitPartition.prepartition_isHenstock
Mathlib.Analysis.BoxIntegral.UnitPartition
[ "Eq.mpr", "BoxIntegral.unitPartition.prepartition_tag", "Nat.instMulZeroClass", "Real", "BoxIntegral.unitPartition.tag_mem", "congrArg", "Finset", "BoxIntegral.Box.Icc", "BoxIntegral.unitPartition.tag", "Membership.mem", "Exists", "id", "BoxIntegral.TaggedPrepartition.tag", "BoxIntegral.Ta...
true
LowerSet.notMem_bot._simp_1
Mathlib.Order.UpperLower.CompleteLattice
[ "False", "eq_false", "LowerSet.instBot", "Membership.mem", "Bot.bot", "LE", "LowerSet.notMem_bot", "LowerSet", "Eq", "SetLike.instMembership", "LowerSet.instSetLike" ]
false
Std.DHashMap.Equiv.constGet_eq
Std.Data.DHashMap.Lemmas
[ "Std.DHashMap.Equiv", "Std.DHashMap.Internal.Raw₀.Const.get_eq_of_equiv", "Std.DHashMap.Raw", "Membership.mem", "Std.DHashMap.instMembership", "Std.DHashMap.wf", "Std.DHashMap.Equiv.mem_iff", "instOfNatNat", "LawfulHashable", "Subtype.mk", "EquivBEq", "Std.DHashMap.inner", "Nat", "Std.DHas...
true
CategoryTheory.NatTrans.removeOp._proof_2
Mathlib.CategoryTheory.Opposites
[ "CategoryTheory.Functor.op", "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Quiver.Hom.op_inj", "CategoryTheory.Functor.category", "Quiver.Hom.unop", "CategoryTheory.Functor.map", "Opposite.op", "CategoryTheory.CategoryStruct.comp", "CategoryTheo...
false
Lean.Widget.RpcEncodablePacket.msg._@.Lean.Server.FileWorker.WidgetRequests.1923616455._hygCtx._hyg.1
Lean.Server.FileWorker.WidgetRequests
[ "Lean.Json", "Lean.Widget.RpcEncodablePacket._@.Lean.Server.FileWorker.WidgetRequests.1923616455._hygCtx._hyg.1" ]
false
_private.Init.Data.String.Basic.0.String.Slice.utf8ByteSize_slice._proof_1_2
Init.Data.String.Basic
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "String.Slice.Pos.offset", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.ofNat_sub_dichotomy", "Lean.Ome...
false
_private.Lean.Elab.DeclNameGen.0.Lean.Elab.Command.NameGen.mkBaseNameCore.visit'.eq_def
Lean.Elab.DeclNameGen
[ "Pure.pure", "_private.Lean.Elab.DeclNameGen.0.Lean.Elab.Command.NameGen.mkBaseNameCore.visit", "StateRefT'.instAlternativeOfMonad", "Lean.Core.instMonadLiftIOCoreM", "IO.instMonadLiftSTRealWorldBaseIO", "modify", "String", "Lean.Meta.State", "instMonadLiftT", "IO", "_private.Lean.Elab.DeclNameG...
true
CategoryTheory.rightExactFunctor
Mathlib.CategoryTheory.Limits.ExactFunctor
[ "CategoryTheory.Functor", "CategoryTheory.Functor.category", "CategoryTheory.Limits.PreservesFiniteColimits", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.ObjectProperty", "CategoryTheory.Category" ]
true
AddGrpCat.limitAddGroup._aux_4
Mathlib.Algebra.Category.Grp.Limits
[ "CategoryTheory.Functor", "Equiv.instEquivLike", "CategoryTheory.Limits.Types.Small.limitCone", "AddGrpCat.instCategory", "AddMonoid.toAddZeroClass", "CategoryTheory.Functor.comp", "AddZeroClass.toAddZero", "Set.Elem", "Equiv", "CategoryTheory.Limits.Cone.pt", "AddGrpCat", "AddZero.toZero", ...
false
DilationEquiv.coe_one
Mathlib.Topology.MetricSpace.DilationEquiv
[ "InvOneClass.toOne", "DivInvOneMonoid.toInvOneClass", "DilationEquiv.instEquivLike", "Group.toDivisionMonoid", "DivisionMonoid.toDivInvOneMonoid", "id", "PseudoEMetricSpace", "DilationEquiv.instGroup", "One.toOfNat1", "DilationEquiv", "OfNat.ofNat", "Eq", "DFunLike.coe", "rfl", "EquivLik...
true
OrderType.instOfNat
Mathlib.Order.Types.Arithmetic
[ "OrderType.type", "Fin.instLinearOrder", "Nat", "OfNat.mk", "OrderType", "Fin", "OfNat" ]
true
CategoryTheory.Subfunctor.Subpresheaf.range_id
Mathlib.CategoryTheory.Subfunctor.Image
[ "CategoryTheory.Functor", "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "Preorder.toLE", "CategoryTheory.CategoryStruct.id", "CompleteLattice.toBoundedOrder", "CategoryTheory.instCompleteLatticeSubfunctor", "CategoryTheory.Su...
true
Std.TreeSet.getD_diff_of_mem_right
Std.Data.TreeSet.Lemmas
[ "Std.TreeSet", "Std.TreeSet.getD", "Membership.mem", "Ordering", "Std.TreeSet.inner", "Std.TransCmp", "Std.TreeSet.instSDiff", "Std.TreeMap.getKeyD_diff_of_mem_right", "SDiff.sdiff", "Unit", "Eq", "Std.TreeSet.instMembership" ]
true
IsCyclotomicExtension.adjoin_roots_cyclotomic_eq_adjoin_nth_roots
Mathlib.NumberTheory.Cyclotomic.Basic
[ "Subalgebra.instSetLike", "Iff.mpr", "Eq.mpr", "Polynomial.eval", "Nat.instCanonicallyOrderedAdd", "IsDomain", "Nat.instMulZeroClass", "CommRing", "Polynomial.cyclotomic_ne_zero", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "congrArg", "CommSemiring.toSem...
true
NumberField.IsCMField.complexConj_eq_self_iff
Mathlib.NumberTheory.NumberField.CMField
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "NumberField.IsCMField.zpowers_complexConj_eq_top", "instIsPrincipalIdealRingOfIsSemisimpleRing", "Subfield.toDivisionRing", "SubsemiringClass.nontrivial", "Lattice.toSemilatticeSup", "Subfield.toAlgebra", "Semiring.toModule", "CompleteLattice.t...
true
IsSemitopologicalSemiring
Mathlib.Topology.Algebra.Ring.Basic
[ "IsSemitopologicalSemiring.mk", "TopologicalSpace", "NonUnitalNonAssocSemiring" ]
true
LieAlgebra.IsKilling.disjoint_ker_weight_corootSpace
Mathlib.Algebra.Lie.Weights.Killing
[ "LieAlgebra.toModule", "Iff.mpr", "LieSubalgebra.lieAlgebra", "Eq.mpr", "Submodule", "instIsPrincipalIdealRingOfIsSemisimpleRing", "SetLike.mem_coe._simp_1", "LieModule.Weight.instFunLike", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "CommRing.toNonUnitalCommRing", "L...
true
List.forM_nil
Init.Data.List.Control
[ "Pure.pure", "ForM.forM", "Monad.toApplicative", "Applicative.toPure", "List", "PUnit", "PUnit.unit", "Monad", "Eq", "rfl", "List.instForMOfMonad", "List.nil" ]
true
CategoryTheory.CostructuredArrow.ofCostructuredArrowProjEquivalence.inverse._proof_2
Mathlib.CategoryTheory.Comma.Over.Basic
[ "CategoryTheory.Over", "CategoryTheory.Functor", "CategoryTheory.Comma.right", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Comma.left", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.id", "CategoryTheory.Over.forget", "Eq.mp", "CategoryTheory.Com...
false
PNat.XgcdType.mk.sizeOf_spec
Mathlib.Data.PNat.Xgcd
[ "PNat.XgcdType._sizeOf_inst", "instOfNatNat", "PNat.XgcdType", "instHAdd", "PNat.XgcdType.mk", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "instSizeOfNat", "OfNat.ofNat", "Eq" ]
true
CategoryTheory.ProjectiveResolution.quasiIso._autoParam
Mathlib.CategoryTheory.Preadditive.Projective.Resolution
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
bihimp_comm
Mathlib.Order.SymmDiff
[ "congrArg", "GeneralizedHeytingAlgebra.toHImp", "SemilatticeInf.toMin", "inf_comm", "bihimp", "GeneralizedHeytingAlgebra.toLattice", "True", "eq_self", "of_eq_true", "congrFun'", "Eq", "GeneralizedHeytingAlgebra", "Min.min", "Eq.trans", "HImp.himp", "Lattice.toSemilatticeInf" ]
true