name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
686
allowCompletion
bool
2 classes
RestrictedProduct.mapAlong_continuous
Mathlib.Topology.Algebra.RestrictedProduct.TopologicalSpace
[ "Filter.instMembership", "Iff.mpr", "Eq.mpr", "RestrictedProduct.continuous_rng_of_principal", "Continuous", "Filter.le_principal_iff", "Pi.topologicalSpace", "congrArg", "Filter.eventually_principal._simp_1", "RestrictedProduct.inclusion", "Filter.Eventually", "Filter.inter_mem", "Continuou...
true
_private.Mathlib.Algebra.Order.Group.Pointwise.Interval.0.Set.Ici_nsmul_eq.match_1_1
Mathlib.Algebra.Order.Group.Pointwise.Interval
[ "False", "False.elim", "Ne", "instOfNatNat", "instHAdd", "absurd", "HAdd.hAdd", "Nat", "instAddNat", "Nat.zero", "Eq.refl", "OfNat.ofNat", "Nat.succ", "Eq", "Nat.casesOn" ]
false
Int8.shiftLeft
Init.Data.SInt.Basic
[ "BitVec.instOfNat", "HShiftLeft.hShiftLeft", "Int8", "BitVec", "instOfNatNat", "Nat", "BitVec.instHShiftLeft", "Int8.ofUInt8", "Int8.toBitVec", "BitVec.smod", "OfNat.ofNat", "UInt8.ofBitVec" ]
true
_private.Mathlib.Analysis.Analytic.CPolynomialDef.0.HasFiniteFPowerSeriesOnBall.eq_partialSum._simp_1_1
Mathlib.Analysis.Analytic.CPolynomialDef
[ "Finset", "Membership.mem", "Finset.mem_range", "Finset.range", "Finset.instSetLike", "Nat", "LT.lt", "propext", "instLTNat", "Eq", "SetLike.instMembership" ]
false
Quiver.zigzagSetoid.match_1
Mathlib.Combinatorics.Quiver.ConnectedComponent
[ "Quiver.symmetrifyQuiver", "Nonempty.intro", "Quiver.Path", "Quiver.Symmetrify", "Nonempty.casesOn", "Quiver", "Nonempty" ]
false
_private.Lean.Elab.Tactic.RCases.0.Lean.Elab.Tactic.RCases.rcases.match_8
Lean.Elab.Tactic.RCases
[ "Lean.Syntax.Ident", "Lean.Syntax", "Prod.mk", "Prod", "Prod.casesOn", "Option" ]
false
MeasureTheory.withDensityᵥ_add
Mathlib.MeasureTheory.VectorMeasure.WithDensity
[ "Eq.mpr", "Real", "MeasureTheory.Measure", "MeasureTheory.Measure.withDensityᵥ", "MeasurableSet", "NormedSpace", "AddMonoid.toAddSemigroup", "congrArg", "MeasureTheory.VectorMeasure.ext", "MeasureTheory.VectorMeasure.measureOf'", "PseudoMetricSpace.toUniformSpace", "MeasureTheory.Integrable", ...
true
Set.fintypeOfFintypeImage
Mathlib.Data.Set.Finite.Basic
[ "Multiset.filterMap", "Function.IsPartialInv", "Set.fintypeOfFintypeImage._proof_1", "Set.Elem", "Fintype.ofFinset", "Set.toFinset", "Finset.val", "Fintype", "Set.image", "Finset.mk", "Set.fintypeOfFintypeImage._proof_2", "Option", "Set" ]
true
_private.Mathlib.Geometry.Manifold.VectorField.LieBracket.0.VectorField.mpullbackWithin_mlieBracketWithin_aux
Mathlib.Geometry.Manifold.VectorField.LieBracket
[ "ContinuousLinearMap.comp", "Filter.instMembership", "MDifferentiableAt.comp_mdifferentiableWithinAt", "Set.mem_range_self", "Eq.mpr", "ContMDiffWithinAt.comp_of_eq", "MDifferentiableWithinAt.differentiableWithinAt_mpullbackWithin_vectorField", "ContMDiffWithinAt.mono", "Set.inter_subset_inter_right...
true
CategoryTheory.Pseudofunctor.DescentDataAsCoalgebra.coalgebraEquivalence_inverse_map_hom
Mathlib.CategoryTheory.Sites.Descent.DescentDataAsCoalgebra
[ "CategoryTheory.Pseudofunctor.DescentDataAsCoalgebra.coalgebraEquivalence._proof_3", "CategoryTheory.Comonad.Coalgebra.a", "Opposite", "CategoryTheory.LocallyDiscrete.mk", "CategoryTheory.Pseudofunctor.DescentDataAsCoalgebra.coalgebraEquivalence", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheor...
true
AlgebraicGeometry.Scheme.range_fromSpecResidueField
Mathlib.AlgebraicGeometry.ResidueField
[ "AlgebraicGeometry.Spec", "AlgebraicGeometry.Scheme", "CommRingCat.carrier", "AlgebraicGeometry.PresheafedSpace.carrier", "congrArg", "CategoryTheory.ConcreteCategory.hom", "CommRingCat", "TopCat.instCategory", "ContinuousMap", "CommRingCat.instCategory", "Set.instSingletonSet", "Set.range_eq_...
true
MonoidAlgebra.mapDomainRingEquiv_apply
Mathlib.Algebra.MonoidAlgebra.MapDomain
[ "Finsupp.instFunLike", "Monoid", "MulEquiv.instEquivLike", "Monoid.toMulOneClass", "RingEquiv.instEquivLike", "NonUnitalNonAssocSemiring.toMulZeroClass", "MonoidAlgebra.instMul", "MulOne.toMul", "Distrib.toAdd", "MulEquiv.toEquiv", "MulOneClass.toMulOne", "NonAssocSemiring.toNonUnitalNonAssocS...
true
Filter.Germ.coeRingHom
Mathlib.Order.Filter.Germ.Basic
[ "Filter.Germ.coeRingHom._proof_3", "Filter.Germ.ofFun", "NonAssocSemiring.toAddCommMonoidWithOne", "MulOne.toOne", "RingHom.mk", "MonoidHom", "Monoid.toMulOneClass", "OneHom.mk", "AddMonoid.toAddZeroClass", "RingHom", "Filter.Germ.coeRingHom._proof_4", "AddZeroClass.toAddZero", "MonoidHom.mk...
true
LSeries.logMul
Mathlib.NumberTheory.LSeries.Deriv
[ "Complex.log", "HMul.hMul", "Complex.instMul", "Complex.instNatCast", "Nat.cast", "Nat", "Complex", "instHMul" ]
true
_private.Mathlib.Data.Finsupp.Basic.0.Finsupp.eq_zero_of_comapDomain_eq_zero._simp_1_2
Mathlib.Data.Finsupp.Basic
[ "Finset", "Membership.mem", "Finset.ext_iff", "Iff", "Finset.instSetLike", "propext", "Eq", "SetLike.instMembership" ]
false
intervalIntegral.intervalIntegral_pos_of_pos_on
Mathlib.MeasureTheory.Integral.IntervalIntegral.Basic
[ "MeasureTheory.ae", "Iff.mpr", "Eq.mpr", "Set.Ioc", "InnerProductSpace.toNormedSpace", "Real.partialOrder", "Real.instLE", "Real", "MeasureTheory.Measure", "Preorder.toLT", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "instIsAddHaarMeasureVolume", "Real.lattice", "MulZeroClass.toMul", ...
true
Std.instCoeDepAnyAsyncStreamOfAsyncStream
Std.Sync.StreamMap
[ "Std.AnyAsyncStream.mk", "Std.AnyAsyncStream", "CoeDep.mk", "Std.Internal.Async.IO.AsyncStream", "CoeDep" ]
true
List.forall₂_nil_left_iff._simp_1
Mathlib.Data.List.Forall2
[ "List.forall₂_nil_left_iff", "List", "propext", "List.Forall₂", "Eq", "List.nil" ]
false
AddMonoidAlgebra.nonAssocSemiring.eq_1
Mathlib.Algebra.MonoidAlgebra.Defs
[ "NonAssocSemiring.mk", "NonAssocSemiring.toAddCommMonoidWithOne", "AddMonoidAlgebra.nonUnitalNonAssocSemiring", "AddZeroClass.toAddZero", "AddMonoidWithOne.toNatCast", "AddCommMonoidWithOne.toAddMonoidWithOne", "Nat.cast", "AddMonoidAlgebra.nonAssocSemiring._proof_4", "AddZero.toZero", "AddZeroCla...
true
_private.Mathlib.Data.List.Lattice.0.List.bagInter_sublist_left._proof_1_4
Mathlib.Data.List.Lattice
[ "False", "eq_false", "Lean.Grind.iff_eq", "Classical.byContradiction", "Eq.mp", "id", "instBEqOfDecidableEq", "List.cons", "List", "Iff", "List.erase", "True", "eq_true", "List.Sublist", "List.cons_sublist_cons", "Eq.symm", "Eq", "Not", "Eq.trans", "List.bagInter", "True.intr...
false
CategoryTheory.ShortComplex.SnakeInput.mono_L₀_f
Mathlib.Algebra.Homology.ShortComplex.SnakeLemma
[ "CategoryTheory.Abelian.toPreadditive", "Eq.mpr", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.ShortComplex.Hom.comm₁₂", "Quiver.Hom", "congrArg", "CategoryTheory.ShortComplex.Hom.τ₁", "CategoryTheory.ShortComplex.SnakeInput.L₀", "CategoryTheory.ShortComplex.Sna...
true
Localization.mk_eq_monoidOf_mk'
Mathlib.GroupTheory.MonoidLocalization.Basic
[ "Localization.mk", "Monoid.toMulOneClass", "Submonoid.LocalizationMap.mk'", "Membership.mem", "Subtype", "Localization", "Localization.mk_eq_monoidOf_mk'_apply", "OreLocalization.instCommMonoid", "funext", "OreLocalization.oreSetComm", "CommMonoid.toMonoid", "Submonoid.instSetLike", "Localiz...
true
lt_add_iff_pos_left._simp_1
Mathlib.Algebra.Order.Monoid.Unbundled.Basic
[ "AddRightStrictMono", "AddZeroClass.toAddZero", "AddZero.toZero", "instHAdd", "AddZeroClass", "AddRightReflectLT", "HAdd.hAdd", "LT.lt", "propext", "AddZero.toAdd", "Zero.toOfNat0", "OfNat.ofNat", "Eq", "lt_add_iff_pos_left", "LT" ]
false
ContinuousMapZero.nonUnitalStarAlgHom_postcomp._proof_3
Mathlib.Topology.ContinuousMap.ContinuousMapZero
[ "NonAssocSemiring.toAddCommMonoidWithOne", "instHSMul", "Continuous", "MonoidHom.instFunLike", "SemilinearMapClass.toMulActionSemiHomClass", "MonoidHom", "NonUnitalAlgHomClass.instLinearMapClass", "Monoid.toMulOneClass", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", ...
false
_private.Mathlib.Combinatorics.Colex.0.Finset.Colex.singleton_le_singleton._simp_1_1
Mathlib.Combinatorics.Colex
[ "Finset.Colex.toColex_le_singleton", "Equiv.instEquivLike", "Colex", "Finset.Colex.instLE", "Finset", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "PartialOrder", "Equiv", "LE.le", "And", "Finset.instSetLike", "propext", "toColex", "Finset.instSingleton", "Singleton....
false
CategoryTheory.mono_iff_isIso_fst
Mathlib.CategoryTheory.Limits.EpiMono
[ "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.IsIso", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.IsSplitEpi", "Subtype.casesOn", "CategoryTheory.Limits.WidePullbackShape.category", "CategoryTheory.CategoryStruct.id", ...
true
TwoUniqueProds.instForall
Mathlib.Algebra.Group.UniqueProds.Basic
[ "Iff.mpr", "Eq.mpr", "exists_or", "UniqueMul.of_image_filter", "Finset.exists_of_one_lt_card_pi", "UniqueMul", "Pi.evalMulHom", "HMul.hMul", "Finset.Nonempty.image", "SProd.sprod", "_private.Mathlib.Algebra.Group.UniqueProds.Basic.0.TwoUniqueProds.instForall._simp_1", "congrArg", "Finset", ...
true
Std.HashMap.Raw.mem_of_mem_filterMap
Std.Data.HashMap.RawLemmas
[ "Std.HashMap.Raw.WF.out", "Membership.mem", "Std.HashMap.Raw.WF", "LawfulHashable", "Std.HashMap.Raw", "EquivBEq", "Std.HashMap.Raw.filterMap", "Std.HashMap.Raw.inner", "Std.HashMap.Raw.instMembershipOfBEqOfHashable", "Hashable", "Std.DHashMap.Raw.mem_of_mem_filterMap", "BEq", "Option" ]
true
CategoryTheory.InducedWideCategory.congr_simp
Mathlib.CategoryTheory.Widesubcategory
[ "CategoryTheory.MorphismProperty", "Eq.rec", "CategoryTheory.InducedWideCategory", "Eq.ndrec", "Eq.refl", "CategoryTheory.Category.toCategoryStruct", "Eq", "CategoryTheory.MorphismProperty.IsMultiplicative", "CategoryTheory.Category" ]
true
Lean.Meta.Grind.Arith.Linear.geAvoiding._unsafe_rec
Lean.Meta.Tactic.Grind.Arith.Linear.Search
[ "Rat.instOfNat", "Rat", "instDecidableEqBool", "Array", "Lean.Meta.Grind.Arith.Linear.inDiseqValues", "Bool.true", "instHAdd", "HAdd.hAdd", "Rat.instAdd", "Bool", "Lean.Meta.Grind.Arith.Linear.geAvoiding._unsafe_rec", "Prod", "OfNat.ofNat", "Eq", "Lean.Meta.Grind.Arith.Linear.DiseqCnstr"...
false
Std.HashMap.Raw.getElem?_insert
Std.Data.HashMap.RawLemmas
[ "Std.HashMap.Raw.WF.out", "Option.some", "Membership.mem", "instDecidableEqBool", "Std.HashMap.Raw.WF", "LawfulHashable", "Std.HashMap.Raw", "Std.DHashMap.Raw.Const.get?_insert", "Bool.true", "BEq.beq", "EquivBEq", "Std.HashMap.Raw.instGetElem?Mem", "Std.HashMap.Raw.insert", "Bool", "Std...
true
_private.Std.Sync.Channel.0.Std.CloseableChannel.Unbounded.recv.match_1
Std.Sync.Channel
[ "Option.ctorIdx", "_private.Std.Sync.Channel.0.Std.CloseableChannel.Unbounded.trySend._sparseCasesOn_1", "Option.some", "Nat.hasNotBit", "Option" ]
false
_private.Mathlib.Data.DFinsupp.Multiset.0.DFinsupp.toMultiset_le_toMultiset._simp_1_1
Mathlib.Data.DFinsupp.Multiset
[ "Nat.instMulZeroClass", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "DFinsupp.addZeroClass'", "Multiset.instAddCancelCommMonoid", "Preorder.toLE", "Nat.instAddMonoid", "AddZeroClass.toAddZero", "Multiset", "LE.le", "instLENat", "Nat", "AddCancelCommMonoid.toAddCommMonoid", "prop...
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", "Lean.Expr.instBEq", "String", "Lean.Meta.State", "instMonadLiftT", "MonadState.ge...
true
_private.Mathlib.Data.DFinsupp.Lex.0.DFinsupp.lt_trichotomy_rec._proof_2
Mathlib.Data.DFinsupp.Lex
[ "Equiv.instEquivLike", "LinearOrder.toDecidableEq", "Lex", "Finset", "LinearOrder", "Finset.min", "Equiv", "Finset.instEmptyCollection", "Finset.min_eq_top", "WithTop.top", "DFinsupp.neLocus", "Iff.mp", "DFinsupp", "EmptyCollection.emptyCollection", "Top.top", "Eq", "DFunLike.coe", ...
false
Set.Definable.image_comp_equiv
Mathlib.ModelTheory.Definability
[ "Eq.mpr", "Equiv.apply_symm_apply", "Equiv.instEquivLike", "Set.Definable", "congrArg", "Equiv.symm_apply_apply", "Set.Definable.preimage_comp", "Function.comp", "Eq.mp", "id", "Equiv", "funext", "FirstOrder.Language.Structure", "Set.preimage", "Set.image_eq_preimage_of_inverse", "cong...
true
Std.ExtDTreeMap.Const.mem_toList_iff_get?_eq_some
Std.Data.ExtDTreeMap.Lemmas
[ "Std.ExtDTreeMap.Const.toList", "Std.DTreeMap.Const.mem_toList_iff_get?_eq_some", "Std.DTreeMap", "Option.some", "Membership.mem", "Ordering", "Prod.mk", "Std.TransCmp", "Std.ExtDTreeMap.Const.get?", "List", "Iff", "List.instMembership", "Std.LawfulEqCmp", "Std.ExtDTreeMap.inductionOn", ...
true
Lean.Meta.SolveByElim.saturateSymm
Lean.Meta.Tactic.SolveByElim
[ "Pure.pure", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "instMonadExceptOfMonadExceptOf", "Lean.MonadError.toMonadExceptOf", "Lean.Meta.State", "Lean.instAddErrorMessageContextOfAddMessageContextOfMonad", "Option.some", "Lean.MonadQuotation.toMonadRef", "Lean.Expr", "Lean.Meta...
true
ConvexCone.mem_mk
Mathlib.Geometry.Convex.Cone.Basic
[ "instHSMul", "Preorder.toLT", "SMul", "Iff.rfl", "PartialOrder.toPreorder", "ConvexCone.instSetLike", "NonUnitalNonAssocSemiring.toMulZeroClass", "Membership.mem", "PartialOrder", "AddCommMonoid", "instHAdd", "Iff", "ConvexCone.mk", "HAdd.hAdd", "NonAssocSemiring.toNonUnitalNonAssocSemir...
true
_private.Lean.Elab.Binders.0.Lean.Elab.Term.FunBinders.elabFunBinderViews
Lean.Elab.Binders
[ "Inhabited.default", "Lean.Elab.Term.BinderView", "Lean.Elab.Term.instInhabitedTermElabM", "Lean.Elab.Term.FunBinders.State", "Array", "Nat", "Lean.Elab.Term.TermElabM" ]
true
Nat.one_lt_succ_succ
Init.Data.Nat.Lemmas
[ "Nat.succ_lt_succ", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "Nat.succ_pos", "LT.lt", "instAddNat", "instLTNat", "OfNat.ofNat", "Nat.succ" ]
true
_private.Qq.Commands.0.Qq.mkLetFVarsFromValues
Qq.Commands
[ "Lean.LocalDecl.ldecl", "Lean.Meta.instMonadLCtxMetaM", "Array.push", "instMonadControlTOfPure", "Lean.Meta.State", "Lean.LocalContext.empty", "Lean.LocalInstance", "Lean.LocalContext.addDecl", "Lean.LocalDecl.index", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "instOfNatNat", "Lean.Ex...
true
Complex.isCauSeq_exp
Mathlib.Analysis.Complex.Exponential
[ "Norm.norm", "Real", "instHDiv", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "Complex.commRing", "IsCauSeq.of_abv", "Complex.instDivInvMonoid", "Complex.instNorm", "Complex.isCauSeq_norm_exp", "HDiv.hDiv", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring"...
true
List.monotone_sum_take
Mathlib.Algebra.Order.BigOperators.Group.List
[ "Eq.mpr", "Preorder.toLT", "instReflLe", "congrArg", "Std.le_refl", "AddMonoid.toAddZeroClass", "List.sum", "PartialOrder.toPreorder", "Monotone", "Preorder.toLE", "AddZeroClass.toAddZero", "List.take_of_length_le", "id", "Nat.le_succ", "instOfNatNat", "LE.le", "CanonicallyOrderedAdd...
true
AddMonoidAlgebra.smulZeroClass._proof_1
Mathlib.Algebra.MonoidAlgebra.Defs
[ "Finsupp.smulZeroClass", "instHSMul", "AddMonoidAlgebra.addAddCommMonoid", "SMulZeroClass", "AddMonoid.toAddZeroClass", "NonUnitalNonAssocSemiring.toMulZeroClass", "smul_zero", "AddZeroClass.toAddZero", "inferInstance", "SMul.mk", "AddZero.toZero", "NonAssocSemiring.toNonUnitalNonAssocSemiring...
false
CategoryTheory.Bicategory.Prod.snd_map₂
Mathlib.CategoryTheory.Bicategory.Product
[ "CategoryTheory.Bicategory.Prod.snd", "CategoryTheory.StrictPseudofunctorPreCore.mk", "CategoryTheory.StrictlyUnitaryPseudofunctor.toPseudofunctor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.PrelaxFunctorStruct.mk", "CategoryTheory.StrictPseudofunctor.toStrictlyUnitaryPseud...
true
ContinuousMap.Homotopy.ulift_apply
Mathlib.AlgebraicTopology.FundamentalGroupoid.InducedMaps
[ "ULift.topologicalSpace", "Real", "ContinuousMap", "ULift", "PseudoMetricSpace.toUniformSpace", "instTopologicalSpaceProd", "ContinuousMap.Homotopy.uliftMap", "Membership.mem", "Set.Elem", "Prod.mk", "TopCat.str", "TopCat.carrier", "ContinuousMap.Homotopy.instFunLike", "ContinuousMap.Homot...
true
Finsupp.coe_mk
Mathlib.Data.Finsupp.Defs
[ "Finsupp.instFunLike", "Finset", "Membership.mem", "Finsupp.mk", "Ne", "Iff", "Finset.instSetLike", "Zero.toOfNat0", "OfNat.ofNat", "Eq", "DFunLike.coe", "SetLike.instMembership", "Finsupp", "rfl", "Zero" ]
true
UInt16.ofNatTruncate_toNat
Init.Data.UInt.Lemmas
[ "Eq.mpr", "congrArg", "id", "UInt16.ofNatTruncate", "UInt16.ofNatTruncate_eq_ofNat", "UInt16.ofNat", "UInt16", "UInt16.ofNat_toNat", "True", "eq_self", "of_eq_true", "UInt16.toNat", "congrFun'", "UInt16.toNat_lt", "Eq", "Eq.trans" ]
true
Int.getElem_toList_roo
Init.Data.Range.Polymorphic.IntLemmas
[ "congrArg", "Std.PRange.instUpwardEnumerableInt", "GetElem.getElem.congr_simp", "Int.toList_roo_eq_toList_rco", "Int", "Nat.cast", "Std.PRange.instIsAlwaysFiniteInt_1", "GetElem.getElem", "Int.instLTInt", "List", "instHAdd", "instOfNat", "HAdd.hAdd", "Nat", "LT.lt", "True", "eq_self"...
true
Rep.coinvariantsTensorIndInv._proof_2
Mathlib.RepresentationTheory.Induced
[ "Rep.instMonoidalCategory", "Rep.V", "CategoryTheory.Functor", "CommRing", "MonoidHom", "Monoid.toMulOneClass", "Rep.ind", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Rep.hV2", "CategoryTheory.Functor.category", "Group", "Rep.instCategory", "Rep.hV1", "DivInvMonoid.toMono...
false
_private.Mathlib.Geometry.Manifold.MFDeriv.Basic.0.mdifferentiableWithinAt_congr_set'._simp_1_1
Mathlib.Geometry.Manifold.MFDeriv.Basic
[ "NormedSpace", "mdifferentiableWithinAt_iff_exists_hasMFDerivWithinAt", "NormedField.toField", "Exists", "instModuleTangentSpace", "Field.toSemifield", "instTopologicalSpaceTangentSpace", "ContinuousLinearMap", "TopologicalSpace", "ModelWithCorners", "Semifield.toDivisionSemiring", "TangentSpa...
false
_private.Mathlib.CategoryTheory.Sites.Descent.DescentDataAsCoalgebra.0.CategoryTheory.Pseudofunctor.DescentDataAsCoalgebra.Hom.ext.match_1
Mathlib.CategoryTheory.Sites.Descent.DescentDataAsCoalgebra
[ "Opposite", "CategoryTheory.LocallyDiscrete.mk", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.Bicategory.Adj.Hom.l", "Quiver.Hom", "CategoryTheory.CategoryStruct.opposite", "Quiver.Hom.op", "CategoryTheory.locallyDiscreteBicategory", "CategoryTheory.Cat.str", "CategoryTheory.Pseudofun...
false
Std.DTreeMap.Internal.Impl.length_keys
Std.Data.DTreeMap.Internal.Lemmas
[ "Eq.mpr", "Std.Internal.List.length_keys_eq_length", "Ord", "congrArg", "Std.TransOrd", "Std.DTreeMap.Internal.Impl.size", "id", "Std.DTreeMap.Internal.Impl.WF", "Std.DTreeMap.Internal.Impl.WF.balanced", "List", "Nat", "Std.DTreeMap.Internal.Impl.size_eq_length", "congr", "Std.DTreeMap.Int...
true
_private.Aesop.RuleTac.Cases.0.Aesop.RuleTac.cases.go.match_10
Aesop.RuleTac.Cases
[ "Lean.Meta.CasesSubgoal", "Option.ctorIdx", "_private.Aesop.RuleTac.Cases.0.Aesop.RuleTac.cases.go._sparseCasesOn_10", "Option.some", "Nat.hasNotBit", "Array", "Option" ]
false
MeasureTheory.Measure.AbsolutelyContinuous.support_mono
Mathlib.MeasureTheory.Measure.Support
[ "MeasureTheory.Measure", "Preorder.toLT", "Filter.smallSets", "MeasureTheory.Measure.AbsolutelyContinuous.pos_mono", "PartialOrder.toPreorder", "Membership.mem", "nhds", "MeasureTheory.Measure.AbsolutelyContinuous", "Filter.Eventually.of_forall", "HasSubset.Subset", "instZeroENNReal", "Measure...
true
List.getLast._proof_1
Init.Data.List.Basic
[ "List", "Eq", "rfl", "List.nil" ]
false
_private.Mathlib.Tactic.TacticAnalysis.Declarations.0.Mathlib.TacticAnalysis.TerminalReplacementOutcome.error.noConfusion
Mathlib.Tactic.TacticAnalysis.Declarations
[ "_private.Mathlib.Tactic.TacticAnalysis.Declarations.0.Mathlib.TacticAnalysis.TerminalReplacementOutcome", "_private.Mathlib.Tactic.TacticAnalysis.Declarations.0.Mathlib.TacticAnalysis.TerminalReplacementOutcome.noConfusion", "Lean.TSyntax", "Lean.MessageData", "_private.Mathlib.Tactic.TacticAnalysis.Declar...
false
DirectSum.GSemiring.casesOn
Mathlib.Algebra.DirectSum.Ring
[ "instHSMul", "HMul.hMul", "AddMonoid.toAddSemigroup", "GradedMonoid.GOne.toOne", "AddMonoid.toAddZeroClass", "AddMonoid.toNSMul", "AddZeroClass.toAddZero", "GradedMonoid.GOne.one", "Sigma.fst", "instOfNatNat", "AddCommMonoid", "AddZero.toZero", "instHAdd", "AddSemigroup.toAdd", "DirectSu...
false
_private.Lean.Elab.Tactic.Simp.0.Lean.Elab.Tactic.elabSimpArgs.match_13
Lean.Elab.Tactic.Simp
[ "Lean.Syntax", "Prod.mk", "Lean.Elab.Tactic.ElabSimpArgResult", "Prod", "Prod.casesOn" ]
false
Std.Tactic.BVDecide.LRAT.Internal.lratChecker._unsafe_rec
Std.Tactic.BVDecide.LRAT.Internal.LRATChecker
[ "Std.Tactic.BVDecide.LRAT.Internal.Formula.delete", "Std.Tactic.BVDecide.LRAT.Internal.Formula.performRatAdd", "Std.Tactic.BVDecide.LRAT.Internal.Formula", "Std.Tactic.BVDecide.LRAT.Action", "Std.Tactic.BVDecide.LRAT.Internal.lratChecker.match_1", "instDecidableEqBool", "Std.Tactic.BVDecide.LRAT.Interna...
false
_private.Std.Data.Internal.List.Associative.0.Std.Internal.List.isEmpty_iff_forall_isSome_getEntry?.match_1_1
Std.Data.Internal.List.Associative
[ "Unit.unit", "List.cons", "List", "Unit", "List.casesOn", "Sigma.mk", "Sigma.casesOn", "Sigma", "List.nil" ]
false
Finset.piecewise
Mathlib.Data.Finset.Piecewise
[ "Finset", "Decidable", "Membership.mem", "Finset.instSetLike", "SetLike.instMembership", "ite" ]
true
AbstractSimplicialComplex.mk
Mathlib.AlgebraicTopology.SimplicialComplex.Basic
[ "AbstractSimplicialComplex.mk", "PreAbstractSimplicialComplex.faces", "Finset", "Membership.mem", "PreAbstractSimplicialComplex", "Finset.instSingleton", "Singleton.singleton", "Set.instMembership", "AbstractSimplicialComplex", "Set" ]
true
PhragmenLindelof.eq_zero_on_quadrant_IV
Mathlib.Analysis.Complex.PhragmenLindelof
[ "Iff.mpr", "DiffContOnCl", "AddGroup.toSubtractionMonoid", "Norm.norm", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "Real.instPow", "Real.instLE", "Real", "Set.Ioi", "HMul.hMul", "Complex.instNormedAddCommGroup", "PhragmenLindelof.quadrant_IV", "PseudoMetricSp...
true
IsTopologicalRing.toIsSemitopologicalRing
Mathlib.Topology.Algebra.Ring.Basic
[ "NonUnitalNonAssocRing", "IsTopologicalSemiring.toContinuousAdd", "IsTopologicalRing.toIsTopologicalSemiring", "IsTopologicalSemiring.toContinuousMul", "IsSemitopologicalSemiring.mk", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "IsSemitopologicalRing", "IsTopologicalRing", "TopologicalSpace...
true
_private.Mathlib.Topology.Order.LeftRightLim.0.Monotone.leftLim_le._simp_1_4
Mathlib.Topology.Order.LeftRightLim
[ "Set.mem_Iio", "Preorder.toLT", "Membership.mem", "LT.lt", "propext", "Set.Iio", "Eq", "Set.instMembership", "Preorder", "Set" ]
false
Monotone.withTop_map
Mathlib.Order.WithBot
[ "Iff.mpr", "WithTop.instPreorder", "Monotone", "WithTop.monotone_map_iff", "WithTop.map", "Preorder", "WithTop" ]
true
npow_mul_comm
Mathlib.Algebra.Group.NatPowAssoc
[ "_private.Mathlib.Algebra.Group.NatPowAssoc.0.npow_mul_comm._simp_1_1", "HMul.hMul", "Pow", "congrArg", "MulOne.toMul", "add_comm", "instHAdd", "MulOneClass.toMulOne", "HPow.hPow", "HAdd.hAdd", "Nat", "congr", "True", "eq_self", "of_eq_true", "instAddNat", "AddCommSemigroup.toAddComm...
true
MonCat.Colimits.quot_one
Mathlib.Algebra.Category.MonCat.Colimits
[ "MulOne.toOne", "CategoryTheory.Functor", "MonCat.Colimits.colimitSetoid", "Monoid.toMulOneClass", "MonCat.Colimits.Prequotient", "MonCat", "MonCat.instCategory", "MulOneClass.toMulOne", "MonCat.Colimits.monoidColimitType", "MonCat.Colimits.ColimitType", "MonCat.Colimits.Prequotient.one", "One...
true
IsLocalHomeomorphOn.of_comp_left
Mathlib.Topology.IsLocalHomeomorph
[ "IsLocalHomeomorphOn.mk", "Filter.instMembership", "Iff.mpr", "Eq.mpr", "mem_interior_iff_mem_nhds", "interior_subset", "OpenPartialHomeomorph.open_source", "congrArg", "ContinuousAt", "PartialEquiv.target", "IsLocalHomeomorphOn", "ContinuousAt.preimage_mem_nhds", "OpenPartialHomeomorph.tran...
true
AddChar.PrimitiveAddChar.char
Mathlib.NumberTheory.LegendreSymbol.AddCharacter
[ "PNat.val", "CommRing", "AddChar.PrimitiveAddChar", "AddGroupWithOne.toAddMonoidWithOne", "AddChar", "AddChar.PrimitiveAddChar.n", "Field.toSemifield", "instFieldCyclotomicField", "Semifield.toDivisionSemiring", "CyclotomicField", "DivisionSemiring.toSemiring", "AddMonoidWithOne.toAddMonoid", ...
true
skyscraperSheafForgetAdjunction
Mathlib.Topology.Sheaves.Skyscraper
[ "TopCat.instCategoryPresheaf", "Decidable", "CategoryTheory.Functor.comp", "TopologicalSpace.Opens", "Membership.mem", "TopCat.Presheaf", "skyscraperSheafFunctor", "skyscraperPresheafStalkAdjunction", "TopCat.Sheaf", "TopologicalSpace.Opens.instSetLike", "TopCat.str", "TopCat.carrier", "TopC...
true
MulEquiv.coe_subgroupMap_apply
Mathlib.Algebra.Group.Subgroup.Map
[ "MulEquiv.instEquivLike", "Subgroup.map", "Monoid.toMulOneClass", "MulEquiv.instMulEquivClass", "Subgroup.mul", "Group", "MulEquiv.subgroupMap", "Membership.mem", "MulOne.toMul", "Subtype", "MonoidHomClass.toMonoidHom", "DivInvMonoid.toMonoid", "Subgroup", "Group.toDivInvMonoid", "MulOne...
true
Polynomial.expand_eq_zero
Mathlib.Algebra.Polynomial.Expand
[ "AlgHom.algHomClass", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "Polynomial.algebraOfAlgebra", "map_zero", "Algebra.id", "RingHomClass.toMonoidWithZeroHomClass", "Function.Injective.eq_iff'", "NonAssocSemiring.toMulZeroOneClass", "instOfNatNat", "Polynomial", "CommSemiring", "...
true
MeasureTheory.measureReal_univ_pos
Mathlib.MeasureTheory.Measure.Real
[ "Real", "MeasureTheory.Measure", "Real.instZero", "Set.univ", "MeasureTheory.Measure.real", "Real.instLT", "MeasureTheory.measure_ne_top", "MeasureTheory.Measure.instZero", "instZeroENNReal", "ENNReal.toReal_pos", "MeasurableSpace", "MeasureTheory.IsFiniteMeasure", "LT.lt", "ENNReal", "M...
true
LieModuleHom.codRestrict.congr_simp
Mathlib.Algebra.Lie.Weights.Cartan
[ "LieSubmodule.instSetLike", "CommRing", "LieModuleHom.codRestrict", "LieModuleHom", "LieSubmodule.instLieRingModuleSubtypeMem", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "LieSubmodule.instSMulMemClass", "LieSubmodule", "AddCommGroup.toAddGroup", "Membership.mem", "Eq.rec", "...
true
List.SortedGT.reverse
Mathlib.Data.List.Sort
[ "Iff.mpr", "List.SortedLT", "List.SortedGT", "List", "List.reverse", "List.sortedLT_reverse", "Preorder" ]
true
Std.ExtDTreeMap.Const.isSome_get?_iff_mem
Std.Data.ExtDTreeMap.Lemmas
[ "Std.DTreeMap", "Membership.mem", "Ordering", "Std.TransCmp", "Std.ExtDTreeMap.Const.get?", "Bool.true", "Iff", "Std.DTreeMap.Const.isSome_get?_iff_mem", "Std.ExtDTreeMap.inductionOn", "Std.ExtDTreeMap", "Bool", "Option.isSome", "Eq", "Std.ExtDTreeMap.instMembershipOfTransCmp" ]
true
CategoryTheory.End.smul_left
Mathlib.CategoryTheory.Endomorphism
[ "instHSMul", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "MulOpposite", "CategoryTheory.End.mulActionLeft", "CategoryTheory.End.monoid", "CategoryTheory.End", "MulOpposite.instMonoid", "CategoryTheory.CategoryStruct.comp", "Monoid.toSemigroup", "MulOpposite.unop", "HSMul.hSMul", ...
true
StarAddMonoid.mk
Mathlib.Algebra.Star.Basic
[ "StarAddMonoid.mk", "AddMonoid.toAddSemigroup", "InvolutiveStar", "instHAdd", "AddSemigroup.toAdd", "HAdd.hAdd", "AddMonoid", "StarAddMonoid", "InvolutiveStar.toStar", "Eq", "Star.star" ]
true
CategoryTheory.ComposableArrows.IsComplex.opcyclesToCycles._proof_6
Mathlib.Algebra.Homology.ExactSequenceFour
[ "CategoryTheory.ComposableArrows.IsComplex.opcyclesToCycles._auto_1", "instOfNatNat", "LE.le", "instLENat", "autoParam", "instHAdd", "HAdd.hAdd", "Nat", "Decidable.byContradiction", "instAddNat", "OfNat.ofNat", "Not", "Nat.decLe", "_private.Mathlib.Algebra.Homology.ExactSequenceFour.0.Cate...
false
CategoryTheory.MonoOver.supLe._proof_1
Mathlib.CategoryTheory.Subobject.Lattice
[ "CategoryTheory.Over", "CategoryTheory.Limits.hasColimitOfHasColimitsOfShape", "CategoryTheory.Comma.left", "CategoryTheory.Functor.id", "CategoryTheory.ObjectProperty.FullSubcategory.obj", "CategoryTheory.instCategoryOver", "CategoryTheory.Limits.WalkingPair", "CategoryTheory.discreteCategory", "Ca...
false
_private.Mathlib.CategoryTheory.ComposableArrows.Basic.0._auto_498
Mathlib.CategoryTheory.ComposableArrows.Basic
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.Name.mkStr2", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
Num.pos.injEq
Mathlib.Data.Num.Basic
[ "Eq.propIntro", "Num.pos.inj", "Num", "Num.pos", "Eq.ndrec", "Eq.refl", "PosNum", "Eq" ]
true
Function.FromTypes
Mathlib.Logic.Function.FromTypes
[ "Function.FromTypes.match_1", "Nat.brecOn", "instOfNatNat", "Nat.below", "instHAdd", "HAdd.hAdd", "Matrix.vecHead", "Nat", "instAddNat", "OfNat.ofNat", "Fin", "Matrix.vecTail", "Nat.succ" ]
true
_private.Lean.Server.FileWorker.ExampleHover.0.Lean.Server.FileWorker.Hover.RWState.output.injEq
Lean.Server.FileWorker.ExampleHover
[ "_private.Lean.Server.FileWorker.ExampleHover.0.Lean.Server.FileWorker.Hover.RWState", "Eq.propIntro", "_private.Lean.Server.FileWorker.ExampleHover.0.Lean.Server.FileWorker.Hover.RWState.output", "Lean.injEq_helper", "And", "Nat", "Eq.ndrec", "Eq.refl", "_private.Lean.Server.FileWorker.ExampleHover...
true
Lean.Elab.Term.elabStateRefT
Lean.Elab.BuiltinNotation
[ "Pure.pure", "Functor.discard", "Lean.MessageData", "Lean.Elab.Term.TermElab", "Lean.MetavarKind.natural", "Lean.Elab.Term.elabTerm", "Lean.mkSort", "Lean.Elab.Term.instMonadTermElabM", "ReaderT", "Lean.Meta.State", "instMonadLiftT", "Option.some", "Lean.Syntax", "Lean.Expr", "Lean.Meta....
true
Real.instFloorRing
Mathlib.Data.Real.Archimedean
[ "Real", "Real.instArchimedean", "Real.instRing", "FloorRing", "Archimedean.floorRing", "Real.linearOrder", "Real.instIsStrictOrderedRing" ]
true
Std.DTreeMap.Equiv.foldrM_eq
Std.Data.DTreeMap.Lemmas
[ "Std.DTreeMap.foldrM", "Std.DTreeMap", "Ord.mk", "Ordering", "LawfulMonad", "Std.DTreeMap.inner", "Std.DTreeMap.Internal.Impl.Equiv.foldrM_eq", "Std.TransCmp", "Std.DTreeMap.Equiv.inner", "Std.DTreeMap.wf", "Std.DTreeMap.Equiv", "Monad", "Eq" ]
true
Subsemiring.mk'._proof_4
Mathlib.Algebra.Ring.Subsemiring.Defs
[ "NonAssocSemiring.toAddCommMonoidWithOne", "AddSubmonoid.zero_mem", "AddMonoid.toAddZeroClass", "Membership.mem", "Eq.rec", "AddZeroClass.toAddZero", "AddSubmonoid", "AddCommMonoidWithOne.toAddMonoidWithOne", "AddZero.toZero", "NonAssocSemiring", "SetLike.coe", "Zero.toOfNat0", "AddMonoidWit...
false
deriv_fun_pow
Mathlib.Analysis.Calculus.Deriv.Pow
[ "NormedCommRing.toNormedRing", "NormedCommRing.toSeminormedCommRing", "NormedCommRing.toCommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "NormedRing.toRing", "HMul.hMul", "NormedCommRing", "DifferentiableAt.hasDerivAt", "CommSemiring.toSemiring", "DifferentiableAt", "deriv", "HasDer...
true
Int.Cooper.mul_resolve_left_inv_le
Init.Data.Int.Cooper
[ "Eq.mpr", "Int.le_of_mul_le_mul_left", "Int.instDiv", "Int.Cooper.resolve_left_inv", "Dvd.dvd", "instHDiv", "HMul.hMul", "congrArg", "Int.mul_left_comm", "id", "HDiv.hDiv", "Int", "LE.le", "Int.instDvd", "Int.instMul", "Int.instLTInt", "instHAdd", "instOfNat", "HAdd.hAdd", "Int...
true
CategoryTheory.ProjectiveResolution.isoLeftDerivedToHomotopyCategoryObj
Mathlib.CategoryTheory.Abelian.LeftDerived
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.Functor", "HomologicalComplex.instCategory", "Nat.instIsOrderedAddMonoid", "CategoryTheory.ProjectiveResolution.iso", "CategoryTheory.ProjectiveResolution.isoLeftDerivedToHomotopyCategoryObj._proof_1", "Nat.instOne", "instIsLeftCancelAddOfAddLeft...
true
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.Const.mem_toList_iff_getKey?_eq_some_and_get?_eq_some._simp_1_1
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "Ordering", "Ordering.eq", "Ord.compare", "Bool.true", "BEq.beq", "propext", "Bool", "Std.LawfulBEqOrd", "BEq", "Eq", "Std.LawfulBEqOrd.compare_eq_iff_beq" ]
false
monotoneOn_univ._simp_1
Mathlib.Order.Monotone.Defs
[ "Set.univ", "Monotone", "MonotoneOn", "propext", "Eq", "monotoneOn_univ", "Preorder" ]
false
CategoryTheory.Functor.IsDenseSubsite.sheafEquiv
Mathlib.CategoryTheory.Sites.DenseSubsite.Basic
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.Functor.category", "CategoryTheory.Equivalence", "CategoryTheory.Functor.asEquivalence", "CategoryTheory.GrothendieckTopology", "CategoryTheory.Functor.IsDenseSubsite.instIsContinuous", "CategoryTheory.Category.opposite", "CategoryTheory.Presheaf...
true
Std.DHashMap.mem_toArray_iff_get?_eq_some
Std.Data.DHashMap.Lemmas
[ "Std.DHashMap.Raw", "Array.instMembership", "Option.some", "LawfulBEq", "Membership.mem", "Std.DHashMap.toArray", "Std.DHashMap.wf", "instOfNatNat", "Std.DHashMap.Raw.WF.size_buckets_pos", "Subtype.mk", "Array", "Iff", "Std.DHashMap.inner", "Nat", "Std.DHashMap.Raw.buckets", "LT.lt", ...
true
_private.Mathlib.Tactic.Linter.FlexibleLinter.0.Mathlib.Linter.Flexible.TacticData.mk.sizeOf_spec
Mathlib.Tactic.Linter.FlexibleLinter
[ "Lean.MetavarContext", "_private.Mathlib.Tactic.Linter.FlexibleLinter.0.Mathlib.Linter.Flexible.TacticData._sizeOf_inst", "Lean.Syntax._sizeOf_inst", "Lean.Syntax", "Lean.MVarId", "instOfNatNat", "Lean.Elab.ContextInfo", "_private.Mathlib.Tactic.Linter.FlexibleLinter.0.Mathlib.Linter.Flexible.TacticDa...
true
smul_add_smul_le_smul_add_smul
Mathlib.Algebra.Order.Module.Defs
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "instHSMul", "add_left_comm", "congrArg", "DistribMulAction.toDistribSMul", "instIsLeftCancelAddOfAddLeftReflectLE", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "IsStrictOrderedRing", "NonUnitalNonAssocSemiring.toMulZeroClass", "P...
true