name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
686
allowCompletion
bool
2 classes
CategoryTheory.Pi.instBraidedForallEval._proof_2
Mathlib.CategoryTheory.Pi.Monoidal
[ "CategoryTheory.Pi.instMonoidalForallEval", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Pi.monoidalCategory", "congrArg", "CategoryTheory.MonoidalCategory", "CategoryTheory.Pi.eval", "CategoryTheory.Category.comp_id", "CategoryTheory.pi", "CategoryTheory.Functor.map", ...
false
Aesop.BaseRuleSet.mk.injEq
Aesop.RuleSet
[ "Aesop.BaseRuleSet.mk.inj", "Aesop.RuleName", "Aesop.SafeRuleInfo", "Eq.propIntro", "Aesop.RulePatternIndex", "Lean.PHashMap", "Lean.injEq_helper", "Aesop.UnsafeRuleInfo", "Aesop.BaseRuleSet.mk", "Lean.PHashSet", "Aesop.RuleName.instBEq", "Aesop.ForwardIndex", "And", "Aesop.Index", "Aeso...
true
_private.Mathlib.Util.Notation3.0.Mathlib.Notation3.exprToMatcher.match_12
Mathlib.Util.Notation3
[ "Lean.TSyntax", "Prod.mk", "Mathlib.Notation3.DelabKey", "List.cons", "List", "Lean.SyntaxNodeKind", "Prod", "Prod.casesOn", "Lean.Name.mkStr1", "List.nil" ]
false
Std.Time.Month.instLawfulEqOrdOffset
Std.Time.Date.Unit.Month
[ "Std.Time.Month.instOrdOffset", "_private.Std.Time.Date.Unit.Month.0.Std.Time.Month.instLawfulEqOrdOffset._proof_1", "Std.Time.Month.Offset", "Std.LawfulEqOrd" ]
true
BitVec.instRxcIsAlwaysFinite
Init.Data.Range.Polymorphic.BitVec
[ "BitVec.instRxcLawfulHasSize", "BitVec", "inferInstance", "BitVec.instUpwardEnumerable", "BitVec.instLawfulUpwardEnumerable", "Std.Rxc.IsAlwaysFinite", "Nat", "instLEBitVec", "Std.Rxc.instIsAlwaysFiniteOfLawfulHasSize", "BitVec.instRxcHasSize" ]
true
BddOrd.Iso.mk
Mathlib.Order.Category.BddOrd
[ "BddOrd.Iso.mk._proof_4", "PartOrd.str", "PartialOrder.toPreorder", "Preorder.toLE", "BddOrd.toPartOrd", "CategoryTheory.Iso", "BddOrd", "OrderIso", "CategoryTheory.Iso.mk", "BddOrd.isBoundedOrder", "BddOrd.Iso.mk._proof_3", "OrderIso.symm", "BddOrd.ofHom", "instFunLikeOrderIso", "BddOrd...
true
_private.Mathlib.RingTheory.Smooth.StandardSmoothCotangent.0.Algebra.SubmersivePresentation.sectionCotangent_zero_of_notMem_range._proof_1_1
Mathlib.RingTheory.Smooth.StandardSmoothCotangent
[ "NonAssocSemiring.toAddCommMonoidWithOne", "of_eq_false", "False", "Set.mem_range", "forall_not_of_not_exists", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "Lean.Grind.nestedProof", "eq_false", "Lean.Grind.iff_eq", "CommSemiring.toSemiring", "...
false
IsDiscrete.mono
Mathlib.Topology.Constructions
[ "IsDiscrete.to_subtype", "HasSubset.Subset", "TopologicalSpace", "IsDiscrete.mk", "IsDiscrete", "DiscreteTopology.of_subset", "Set.instHasSubset", "Set" ]
true
_private.Std.Time.Date.Basic.0.Std.Time.Millisecond.Offset.ofDays._proof_1
Std.Time.Date.Basic
[ "Rat.instOfNat", "Int.cast", "instHDiv", "of_decide_eq_true", "Rat", "Rat.instIntCast", "id", "HDiv.hDiv", "Int", "Bool.true", "instOfNat", "Bool", "Eq.refl", "OfNat.ofNat", "instDecidableEqRat", "Decidable.decide", "Eq", "Rat.instDiv" ]
false
instAddCommMonoidWithOneENNReal._proof_16
Mathlib.Data.ENNReal.Basic
[ "instAddCommMonoidWithOneENNReal._proof_5", "NonAssocSemiring.toAddCommMonoidWithOne", "AddMonoidWithOne.mk", "One.mk", "AddMonoid.toAddSemigroup", "instAddCommMonoidWithOneENNReal._proof_10", "Add.mk", "instAddCommMonoidWithOneENNReal._proof_11", "instAddCommMonoidWithOneENNReal._aux_3", "instAdd...
false
Option.bind_eq_none'
Init.Data.Option.Lemmas
[ "False", "Option.ctorIdx", "congrArg", "False.elim", "Option.casesOn", "noConfusion_of_Nat", "Option.some.injEq", "Option.some", "Option.bind", "Ne", "false_implies", "forall_eq'._simp_1", "iff_self", "Option.none", "Iff", "_private.Init.Data.Option.Lemmas.0.Option.bind_eq_none'._simp_...
true
_private.Mathlib.Data.Real.Archimedean.0.Real.exists_isLUB.match_1_4
Mathlib.Data.Real.Archimedean
[ "Int.cast", "Real.instLE", "Real", "instHDiv", "Real.instRatCast", "Rat", "Membership.mem", "Exists", "Rat.instIntCast", "HDiv.hDiv", "Rat.cast", "Int", "LE.le", "Nat.cast", "And.casesOn", "And", "Exists.casesOn", "Nat", "And.intro", "Exists.intro", "Set.instMembership", "R...
false
MvQPF.Comp
Mathlib.Data.QPF.Multivariate.Constructions.Comp
[ "Nat", "Fin2", "TypeVec" ]
true
AddMonoidHom.toMultiplicative
Mathlib.Algebra.Group.TypeTags.Hom
[ "MulOne.toOne", "MonoidHom.instFunLike", "Equiv.instEquivLike", "AddMonoidHom.toMultiplicative._proof_1", "MonoidHom", "OneHom.mk", "AddMonoidHom.toMultiplicative._proof_5", "AddZeroClass.toAddZero", "Equiv.mk", "AddMonoidHom.mk", "Multiplicative.mulOneClass", "Equiv", "MonoidHom.mk", "Add...
true
CategoryTheory.MonoidalCategory.DayConvolution.unit_naturality
Mathlib.CategoryTheory.Monoidal.DayConvolution
[ "CategoryTheory.MonoidalCategory.DayConvolution.convolution", "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.MonoidalCategory.DayConvolution", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg"...
true
CategoryTheory.BasedFunctor.mk
Mathlib.CategoryTheory.FiberedCategory.BasedCategory
[ "CategoryTheory.Functor", "CategoryTheory.BasedFunctor", "CategoryTheory.BasedCategory.p", "CategoryTheory.Functor.comp", "CategoryTheory.instCategoryObj", "CategoryTheory.BasedCategory.obj", "autoParam", "CategoryTheory.BasedFunctor.w._autoParam", "CategoryTheory.BasedFunctor.mk", "CategoryTheory...
true
ExpChar.congr
Mathlib.Algebra.CharP.Defs
[ "ExpChar", "Eq.rec", "Nat", "Eq", "AddMonoidWithOne" ]
true
Std.HashMap.getElem_filterMap'._proof_1
Std.Data.HashMap.Lemmas
[ "Std.HashMap.getKey", "GetElem?.toGetElem", "instLawfulHashableOfLawfulBEq", "congrArg", "LawfulBEq", "Membership.mem", "Eq.mp", "Std.HashMap", "GetElem.getElem", "Bool.true", "Std.HashMap.getKey_eq", "Std.HashMap.filterMap", "Std.HashMap.mem_of_mem_filterMap", "Bool", "congrFun'", "Ha...
false
CategoryTheory.Enriched.Functor.functorHom_whiskerLeft_natTransEquiv_symm_app
Mathlib.CategoryTheory.Functor.FunctorHom
[ "CategoryTheory.Functor.HomObj.ofNatTrans", "CategoryTheory.Functor", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "Opposite", "Equiv.instEquivLike", "CategoryTheory.coyoneda", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.typesCartesianMonoidalCategory", "Quiver.Hom", "Categor...
true
String.utf8Len_le_of_infix
Batteries.Data.String.Lemmas
[ "String.utf8Len_le_of_sublist", "String.utf8Len", "LE.le", "instLENat", "List.IsInfix", "List", "Nat", "Char", "List.IsInfix.sublist" ]
true
FiniteAddGrp.of.eq_1
Mathlib.Algebra.Category.Grp.FiniteGrp
[ "Finite", "FiniteAddGrp.mk", "FiniteAddGrp", "AddGroup", "FiniteAddGrp.of", "AddGrpCat.of", "Eq.refl", "Eq" ]
true
_private.Mathlib.Order.Partition.Finpartition.0.Finpartition.mem_part_ofSetSetoid_iff_rel._simp_1_1
Mathlib.Order.Partition.Finpartition
[ "Finset", "Finpartition.part", "Membership.mem", "Exists", "Finpartition.mem_part_iff_exists", "Finpartition.parts", "And", "Finset.instSetLike", "Finset.instLattice", "propext", "Finset.instOrderBot", "Eq", "Finpartition", "SetLike.instMembership", "DecidableEq" ]
false
Lean.Meta.Grind.Arith.Cutsat.ToIntInfo.negThm?._default
Lean.Meta.Tactic.Grind.Arith.Cutsat.ToIntInfo
[ "Lean.Expr", "id", "Option.none", "Option" ]
false
MonoidHom.inr_apply
Mathlib.Algebra.Group.Prod
[ "MulOne.toOne", "MonoidHom.instFunLike", "MonoidHom.inr", "MonoidHom", "Prod.instMulOneClass", "Prod.mk", "MulOneClass.toMulOne", "One.toOfNat1", "MulOneClass", "Prod", "OfNat.ofNat", "Eq", "DFunLike.coe", "rfl" ]
true
Lean.Meta.Grind.Arith.Linear.IneqCnstrProof.ringEq.inj
Lean.Meta.Tactic.Grind.Arith.Linear.Types
[ "Lean.Meta.Grind.Arith.Linear.LinExpr", "Lean.Meta.Grind.Arith.Linear.IneqCnstrProof.ringEq", "Lean.Meta.Grind.Arith.Linear.IneqCnstrProof", "Lean.Meta.Grind.Arith.Linear.RingEqCnstr", "And", "And.intro", "Lean.Meta.Grind.Arith.Linear.IneqCnstrProof.ringEq.noConfusion", "Eq" ]
true
Std.DTreeMap.Internal.Impl.Equiv.minEntry_eq
Std.Data.DTreeMap.Internal.Lemmas
[ "Std.DTreeMap.Internal.Impl.Equiv.minEntry?_eq", "Ord", "congrArg", "Std.TransOrd", "Option.get.congr_simp", "Std.DTreeMap.Internal.Impl.WF", "Bool.true", "Std.DTreeMap.Internal.Impl.minEntry?", "Std.DTreeMap.Internal.Impl.Equiv", "Option.get", "Std.DTreeMap.Internal.Impl.isEmpty", "congr", ...
true
constFormalMultilinearSeries.match_1
Mathlib.Analysis.Calculus.FormalMultilinearSeries
[ "Unit.unit", "instOfNatNat", "dite", "Unit", "Nat", "Eq.ndrec_symm", "instDecidableEqNat", "OfNat.ofNat", "Eq", "Not" ]
false
Lean.Doc.Block.rec_5
Lean.DocString.Types
[ "Lean.Doc.Block.blockquote", "String", "Lean.Doc.Block", "Lean.Doc.Block.concat", "Lean.Doc.DescItem", "Int", "Lean.Doc.Block.dl", "Lean.Doc.Block.ul", "List.cons", "Array", "List", "Lean.Doc.Block.ol", "Lean.Doc.DescItem.mk", "Lean.Doc.Block.code", "Lean.Doc.Block.para", "Lean.Doc.Lis...
false
_private.Lean.Server.InfoUtils.0.Lean.Elab.Info.type?._sparseCasesOn_1
Lean.Server.InfoUtils
[ "Lean.Elab.PartialTermInfo", "Lean.Elab.Info.ofOptionInfo", "Nat.ne_of_beq_eq_false", "Lean.Elab.Info.ofTacticInfo", "Lean.Elab.FieldRedeclInfo", "Lean.Elab.CompletionInfo", "Lean.Elab.OptionInfo", "Nat.shiftRight", "Lean.Elab.Info.rec", "Lean.Elab.MacroExpansionInfo", "Nat.hasNotBit", "instOf...
false
Std.DTreeMap.getKey!_eq_get!_getKey?
Std.Data.DTreeMap.Lemmas
[ "Std.DTreeMap.Internal.Impl.getKey!_eq_get!_getKey?", "Std.DTreeMap", "Std.DTreeMap.getKey!", "Ord.mk", "Ordering", "Option.get!", "Std.DTreeMap.inner", "Std.TransCmp", "Std.DTreeMap.getKey?", "Std.DTreeMap.wf", "Inhabited", "Eq" ]
true
NormedGroup.toENormedMonoid._proof_4
Mathlib.Analysis.Normed.Group.Continuity
[ "Semigroup.toMul", "ENNReal.ofNNReal", "HMul.hMul", "CommSemiring.toSemiring", "NormedGroup", "NNNorm.nnnorm", "PartialOrder.toPreorder", "PseudoMetricSpace.toUniformSpace", "SeminormedGroup.toPseudoMetricSpace", "Preorder.toLE", "Distrib.toAdd", "DivInvMonoid.toMonoid", "NNReal", "ENNReal...
false
IsLocalization.IsInteger.eq_1
Mathlib.RingTheory.Localization.Rat
[ "IsLocalization.IsInteger", "Subsemiring.instSetLike", "CommSemiring.toSemiring", "Algebra", "Membership.mem", "algebraMap", "Subsemiring", "CommSemiring", "Eq.refl", "Semiring.toNonAssocSemiring", "Eq", "SetLike.instMembership", "RingHom.rangeS" ]
true
CategoryTheory.Limits.equalizerSubobject_arrow
Mathlib.CategoryTheory.Subobject.Limits
[ "CategoryTheory.Subobject.arrow", "CategoryTheory.Subobject.underlying", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Limits.equalizer", "PartialOrder.toPreorder", "CategoryTheory.Limits.equalizerSubobject", "CategoryTheory.Limits.HasEqualizer", "Preorder.sma...
true
MeasureTheory.AECover.integral_tendsto_of_countably_generated
Mathlib.MeasureTheory.Integral.IntegralEqImproper
[ "MeasureTheory.ae", "MeasureTheory.Integrable.aestronglyMeasurable", "Norm.norm", "Eq.mpr", "MeasureTheory.integral_indicator", "Real.instLE", "Real", "MeasureTheory.Measure", "NormedSpace", "congrArg", "Set.indicator", "HEq.refl", "Filter.Eventually", "MeasureTheory.tendsto_integral_filte...
true
ScottContinuous.comp
Mathlib.Order.ScottContinuity
[ "Eq.mpr", "ScottContinuousOn.comp", "congrArg", "scottContinuousOn_univ", "Set.mem_univ._simp_1", "Set.univ", "ScottContinuous", "Preorder.toLE", "Function.comp", "Membership.mem", "Eq.mp", "Set.instSingletonSet", "id", "Insert.insert", "LE.le", "imp_self._simp_1", "Set.instInsert", ...
true
FiniteField.exists_nonsquare
Mathlib.FieldTheory.Finite.Basic
[ "Eq.mpr", "not_exists._simp_1", "NegZeroClass.toNeg", "Ring.neg_one_ne_one_of_char_ne_two", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "CommRing.toNonUnitalCommRing", "congrArg", "Finite", "NonUnitalNonAssocRing.toAddCommGroup", "AddGroupWithOne.toAddMonoidWithOne", "Functio...
true
_private.Batteries.Data.String.Lemmas.0.Substring.Raw.ValidFor.toString.match_1_1
Batteries.Data.String.Lemmas
[ "Unit.unit", "Substring.Raw.mk", "HEq.refl", "String.utf8Len", "Substring.Raw.ValidFor", "Substring.Raw", "Substring.Raw.ValidFor.mk", "instHAppendOfAppend", "List", "instHAdd", "Unit", "String.Pos.Raw.mk", "HAdd.hAdd", "Nat", "eq_of_heq", "Eq.ndrec", "instAddNat", "Eq.refl", "HE...
false
Lean.Meta.ArgsPacker.noConfusionType
Lean.Meta.ArgsPacker.Basic
[ "Lean.Meta.ArgsPacker", "Array", "Lean.Name", "Lean.Meta.ArgsPacker.casesOn", "Eq" ]
false
Interval.recBotCoe
Mathlib.Order.Interval.Basic
[ "WithBot.some", "WithBot", "Bot.bot", "Interval", "LE", "WithBot.recBotCoe", "WithBot.bot", "NonemptyInterval" ]
true
Fin.univ_def
Mathlib.Data.Fintype.Basic
[ "Finset.univ", "Finset", "Fin.fintype", "Multiset.ofList", "Nat", "List.nodup_finRange", "Finset.mk", "Fin", "List.finRange", "Eq", "rfl" ]
true
EuclideanGeometry.Sphere.isIntTangent_self_iff
Mathlib.Geometry.Euclidean.Sphere.Tangent
[ "Nontrivial", "Eq.mpr", "InnerProductSpace.toNormedSpace", "Real.instLE", "Real", "EuclideanGeometry.Sphere.isIntTangentAt_self_iff_mem._simp_1", "Real.instZero", "Real.instRCLike", "congrArg", "EuclideanGeometry.Sphere.nonempty_iff", "EuclideanGeometry.Sphere", "EuclideanGeometry.Sphere.IsInt...
true
Lean.Meta.reduceBoolNativeUnsafe
Lean.Meta.WHNF
[ "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Lean.Meta.State", "Lean.instAddErrorMessageContextOfAddMessageContextOfMonad", "Lean.Core.instMonadOptionsCoreM", "Lean.MonadQuotation.toMonadRef", "Lean.instMonadOptionsOfMonadLift", "Lean.Meta.MetaM", "IO.RealWorld", "StateRefT'.inst...
true
Lean.Elab.Command.Scope.levelNames._default
Lean.Elab.Command.Scope
[ "id", "List", "Lean.Name", "List.nil" ]
false
Polynomial.div_tendsto_atBot_zero_iff_degree_lt
Mathlib.Analysis.Polynomial.Basic
[ "NormedCommRing.toNormedRing", "WithBot.instPreorder", "Eq.mpr", "Polynomial.C", "Polynomial.eval", "NegZeroClass.toNeg", "NormedCommRing.toSeminormedCommRing", "RingHom.instRingHomClass", "False", "OrderTopology", "WithBot", "Preorder.toLT", "instHDiv", "NonUnitalCommRing.toNonUnitalNonAs...
true
CategoryTheory.Deterministic
Mathlib.CategoryTheory.CopyDiscardCategory.Deterministic
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.IsComonHom", "CategoryTheory.MonoidalCategory", "CategoryTheory.CopyDiscardCategory.comonObj", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.CopyDiscardCategory", "CategoryTheory.Category" ]
true
_private.Batteries.Data.RBMap.Depth.0.Batteries.RBNode.Balanced.le_size.match_1_7
Batteries.Data.RBMap.Depth
[ "instPowNat", "Batteries.RBNode", "Unit.unit", "HEq.refl", "Batteries.RBNode.Balanced.below.nil", "Batteries.RBNode.nil", "instOfNatNat", "LE.le", "instLENat", "Batteries.RBNode.size", "Batteries.RBNode.Balanced.nil", "instNatPowNat", "Batteries.RBNode.Balanced.black", "instHAdd", "Batte...
false
OrderIso.map_ciSup_set_of_directedOn
Mathlib.Order.ConditionallyCompletePartialOrder.Indexed
[ "iSup", "PartialOrder.toPreorder", "GaloisConnection.l_ciSup_set_of_directedOn", "OrderIso.to_galoisConnection", "Preorder.toLE", "DirectedOn", "Membership.mem", "Set.Elem", "OrderIso", "LE.le", "OrderIso.symm", "BddAbove", "Set.Nonempty", "instFunLikeOrderIso", "Set.image", "Condition...
true
Subgroup.exists_pow_mem_of_index_ne_zero
Mathlib.GroupTheory.Index
[ "zpow_natCast", "Eq.mpr", "Fintype.card_ofFinset", "Nat.card_le_card_of_injective", "Nat.instCanonicallyOrderedAdd", "False", "Nat.instOrderedSub", "Preorder.toLT", "zpow_add", "Nat.instIsOrderedAddMonoid", "HMul.hMul", "DivInvOneMonoid.toInvOneClass", "Nat.instOne", "and_true", "outPara...
true
CategoryTheory.ShortComplex.SnakeInput.mono_v₀₁_τ₂
Mathlib.Algebra.Homology.ShortComplex.SnakeLemma
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.Limits.KernelFork.ofι", "CategoryTheory.Mono", "CategoryTheory.ShortComplex.SnakeInput.L₂", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ShortComplex.SnakeInput.L₀", "CategoryTheory.ShortComplex.SnakeInput", "Category...
true
Nat.fact_prime_two
Mathlib.Data.Nat.Prime.Defs
[ "Nat.Prime", "Fact", "instOfNatNat", "Nat.prime_two", "Fact.mk", "Nat", "OfNat.ofNat" ]
true
DirichletCharacter.isPrimitive_one_level_one
Mathlib.NumberTheory.DirichletCharacter.Basic
[ "DirichletCharacter.conductor", "Dvd.dvd", "ZMod.commRing", "MulChar.hasOne", "DirichletCharacter.conductor_dvd_level", "Nat.dvd_one", "instOfNatNat", "ZMod", "Nat.instDvd", "CommMonoidWithZero", "Nat", "DirichletCharacter", "Iff.mp", "DirichletCharacter.IsPrimitive", "One.toOfNat1", "...
true
Std.ExtDTreeMap.le_minKey?
Std.Data.ExtDTreeMap.Lemmas
[ "Std.DTreeMap", "Option.some", "Membership.mem", "Ordering", "Std.ExtDTreeMap.minKey?", "Std.TransCmp", "Bool.true", "Iff", "Std.ExtDTreeMap.inductionOn", "Std.ExtDTreeMap", "Bool", "Ordering.isLE", "Eq", "Std.ExtDTreeMap.instMembershipOfTransCmp", "Std.DTreeMap.le_minKey?", "Option" ]
true
lp.singleAddMonoidHom
Mathlib.Analysis.Normed.Lp.lpSpace
[ "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "instAddCommGroupPreLp", "AddCommGroup.toAddGroup", "lp.single", "AddSubgroup.toAddGroup", "Membership.mem", "AddZeroClass.toAddZero", "AddMonoidHom.mk", "lp.single_zero", "Subtype", "ESeminormedAddMonoid.toAddMonoid", "ZeroHom....
true
UpperSet.coe_zero
Mathlib.Algebra.Order.UpperLower
[ "Set.Ici", "UpperSet", "UpperSet.instSetLike", "Preorder.toLE", "AddCommGroup", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "SubtractionCommMonoid.toSubtractionMonoid", "SetLike.coe", "UpperSet.instZero", "Zero.toOfNat0", "AddCommGroup.toDivisionAddCommMonoid", ...
true
isSelfAdjoint_iff_isStarNormal_and_quasispectrumRestricts
Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Instances
[ "cfcₙ", "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "IsSelfAdjoint", "Real", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "RCLike.toNormedAlgebra", "Complex.instNormedAddCommGroup", "IsStarNormal", "IsTopologicalRing.toIsTopologicalSemiring", "Real.instRCLike", "congrArg", "CommSemi...
true
ProbabilityTheory.lintegral_condCDF
Mathlib.Probability.Kernel.Disintegration.CondCDF
[ "Set.instSProd", "Unit.unit", "Real", "MeasureTheory.Measure", "ProbabilityTheory.Kernel.const.instIsFiniteKernel", "ENNReal.ofReal", "SProd.sprod", "Set.univ", "PseudoMetricSpace.toUniformSpace", "StieltjesFunction.toFun", "MeasurableSpace", "Unit", "Real.measurableSpace", "MeasureTheory....
true
_private.Mathlib.Probability.Kernel.IonescuTulcea.Maps.0.IocProdIoc_preimage._proof_1_9
Mathlib.Probability.Kernel.IonescuTulcea.Maps
[ "instLawfulOrderLT_mathlib", "Lean.Grind.and_eq_of_eq_true_right", "Preorder.toLT", "Lean.Grind.iff_eq", "Finset", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "SemilatticeInf.toPartialOrder", "Eq.mp", "DistribLattice.toLattice", "LE.le", "And", "Iff", "...
false
Filter.boundedFilterSubalgebra._proof_2
Mathlib.Order.Filter.ZeroAndBoundedAtFilter
[ "Filter.boundedFilterSubmodule", "Submodule", "Filter.BoundedAtFilter.mul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "SeminormedCommRing", "Ring.toNonAssocRing", "CommSemiring.toSemiring", "SeminormedCommRing.toCommRing", "Algebra", "NonUnitalNonAssocSemiring.toMulZeroClass"...
false
_private.Init.Data.SInt.Lemmas.0.ISize.ofNat_mul._simp_1_1
Init.Data.SInt.Lemmas
[ "ISize.ofInt", "ISize.ofNat", "Int", "Nat.cast", "ISize.ofInt_eq_ofNat", "Nat", "instNatCastInt", "Eq.symm", "ISize", "Eq" ]
false
TrivSqZeroExt.snd_mul
Mathlib.Algebra.TrivSqZeroExt.Basic
[ "TrivSqZeroExt.mul", "TrivSqZeroExt.snd", "instHSMul", "TrivSqZeroExt", "HMul.hMul", "SMul", "MulOpposite", "Mul", "TrivSqZeroExt.fst", "instHAdd", "HAdd.hAdd", "HSMul.hSMul", "Eq", "Add", "rfl", "MulOpposite.op", "instHMul" ]
true
AddSubgroup.nontrivial_iff_exists_ne_zero
Mathlib.Algebra.Group.Subgroup.Lattice
[ "Nontrivial", "AddGroup.toSubtractionMonoid", "Eq.mpr", "Subtype.nontrivial_iff_exists_ne", "Iff.of_eq", "congrArg", "AddMonoid.toAddZeroClass", "Membership.mem", "Exists", "AddZeroClass.toAddZero", "id", "Subtype", "Ne", "SubtractionMonoid.toSubNegZeroMonoid", "exists_prop", "SubNegZe...
true
ByteArray.Iterator.casesOn
Init.Data.ByteArray.Basic
[ "ByteArray.Iterator.rec", "ByteArray.Iterator", "Nat", "ByteArray.Iterator.mk", "ByteArray" ]
false
BitVec.hash._unary.eq_def
Init.Data.BitVec.Basic
[ "instPowNat", "Eq.mpr", "BitVec.setWidth", "BitVec.instHShiftRightNat", "mixHash", "congrArg", "UInt64", "InvImage", "HSub.hSub", "WellFounded.Nat.fix", "WellFounded.Nat.fix_eq", "BitVec", "BitVec.toFin", "PSigma.casesOn", "id", "instSubNat", "instOfNatNat", "LE.le", "instLENat",...
false
Std.DTreeMap.Internal.Unit.RoiSliceData.mk
Std.Data.DTreeMap.Internal.Zipper
[ "Std.DTreeMap.Internal.Unit.RoiSliceData", "Ord", "Std.DTreeMap.Internal.Unit.RoiSliceData.mk", "Unit", "Std.Roi", "Std.DTreeMap.Internal.Impl" ]
true
Complex.norm_ofNat
Mathlib.Analysis.Complex.Norm
[ "Norm.norm", "Real", "Complex.norm_natCast", "Complex.instNorm", "Complex.instNatCast", "Nat", "Complex", "OfNat.ofNat", "Eq", "instOfNatAtLeastTwo", "Nat.AtLeastTwo", "Real.instNatCast" ]
true
_private.Mathlib.Tactic.Ring.Common.0.Mathlib.Tactic.Ring.ExProd.evalInv.match_13
Mathlib.Tactic.Ring.Common
[ "Mathlib.Tactic.Ring.Result", "Mathlib.Tactic.Ring.Result.mk", "Lean.Expr.const", "Mathlib.Tactic.Ring.ExProd", "Lean.Expr.sort", "Lean.Level", "List.cons", "Lean.Literal.natVal", "Qq.Quoted", "Lean.Level.zero", "Qq.Quoted.unsafeMk", "Lean.Name.mkStr2", "Lean.Expr.app", "Lean.Level.succ", ...
false
Lean.Lsp.instFromJsonSignatureHelpTriggerKind
Lean.Data.Lsp.LanguageFeatures
[ "Lean.Json", "Except.ok", "String", "Lean.Lsp.instFromJsonSignatureHelpTriggerKind.match_1", "Lean.Lsp.SignatureHelpTriggerKind.triggerCharacter", "Except.error", "Lean.Lsp.SignatureHelpTriggerKind", "Lean.Lsp.SignatureHelpTriggerKind.contentChange", "Lean.Lsp.SignatureHelpTriggerKind.invoked", "U...
true
iterate_map_sub
Mathlib.Algebra.Group.Hom.Defs
[ "AddGroup.toSubtractionMonoid", "map_sub", "AddMonoid.toAddZeroClass", "HSub.hSub", "AddZeroClass.toAddZero", "AddMonoidHomClass", "Nat.iterate", "SubNegMonoid.toSub", "Function.Semiconj₂.iterate", "AddGroup", "instHSub", "AddGroup.toSubNegMonoid", "Nat", "SubNegMonoid.toAddMonoid", "Eq"...
true
_private.Mathlib.GroupTheory.Perm.Cycle.Type.0.Equiv.Perm.IsThreeCycle.nodup_iff_mem_support._proof_1_495
Mathlib.GroupTheory.Perm.Cycle.Type
[ "Equiv.instEquivLike", "Finset", "Lean.Grind.Nat.lt_eq", "Equiv", "Insert.insert", "instOfNatNat", "LE.le", "instLENat", "instBEqOfDecidableEq", "Finset.instInsert", "List.cons", "List.idxOfNth", "instHAdd", "HAdd.hAdd", "Equiv.Perm", "Nat", "List.filter", "LT.lt", "Eq.substr", ...
false
_private.Mathlib.LinearAlgebra.Basis.VectorSpace.0.nonzero_span_atom._simp_1_1
Mathlib.LinearAlgebra.Basis.VectorSpace
[ "Submodule", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "Set.instSingletonSet", "Submodule.instPartialOrder", "LE.le", "AddCommMonoid", "Submodule.setLike", "propext", "Submodule.span", "Semiring", "Submodule.span_singleton_le_iff_mem", "Module", "Singleton.singleton",...
false
Sigma.Lex.linearOrder._proof_4
Mathlib.Data.Sigma.Order
[ "instTrichotomousLt", "Preorder.toLT", "Sigma.Lex", "LinearOrder", "Sigma.instTotalLexOfTrichotomous", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "LE.le", "total_of", "LT.lt", "Or", "instDistribLatticeOfLinearOrder", "Sigma", ...
false
ContDiffMapSupportedIn.instSMul
Mathlib.Analysis.Distribution.ContDiffMapSupportedIn
[ "Real", "instHSMul", "NormedSpace", "ContDiffMapSupportedIn.instSMul._proof_2", "ContDiffMapSupportedIn.mk", "DistribMulAction.toDistribSMul", "SMul", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "AddZeroClass.toAddZero", "Real.semiring", "Function....
true
Lean.Expr.foldRelevantConstants
Lean.LibrarySuggestions.Basic
[ "Pure.pure", "Lean.Meta.State", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "Applicative.toPure", "Lean.Core.CoreM", "StateRefT'", "StateRefT'.instMonad", "Lean.Name", "Lean.Core.instMonadCoreM", "ReaderT.instApplicativeOfMonad", "Lean.Meta.Context" ]
true
NormedField.instRankOneNNRealValuation._proof_4
Mathlib.Topology.Algebra.Valued.NormedValued
[ "NormedCommRing.toNormedRing", "GroupWithZero.toMonoidWithZero", "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "NormedCommRing.toSeminormedCommRing", "NormedRing.toRing", "StrictMono", "Monoid.toMulOneClass", "PartialOrder.toPreorder", "LinearOrderedCommMonoidWithZero.toLinearO...
false
Subalgebra.involutiveStar._proof_11
Mathlib.Algebra.Star.Subalgebra
[ "Subalgebra.instSetLike", "Subalgebra.involutiveStar._proof_7", "NonAssocSemiring.toAddCommMonoidWithOne", "MulOne.toOne", "Set.star", "star_star", "Subsemigroup.mk", "CommSemiring.toSemiring", "SubsemiringClass.toAddSubmonoidClass", "Subalgebra.involutiveStar._proof_4", "AddMonoid.toAddZeroClas...
false
StieltjesFunction.instModuleNNReal._proof_5
Mathlib.MeasureTheory.Measure.Stieltjes
[ "ContinuousWithinAt.const_smul", "Real.instIsOrderedRing", "Real.partialOrder", "Real.instLE", "Real", "instHSMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "IsOrderedRing.toPosMulMono", "HMul.hMul", "Set.Ici", "CommRing.toNonUnitalCommRing", "StieltjesFunction.mk", "Real.instZero", ...
false
BoundedOrder.noConfusionType
Mathlib.Order.BoundedOrder.Basic
[ "OrderBot", "BoundedOrder.casesOn", "OrderTop", "LE", "HEq", "BoundedOrder" ]
false
_private.Mathlib.Data.Set.Finite.Lattice.0.Set.Finite.bddAbove_biUnion._simp_1_1
Mathlib.Data.Set.Finite.Lattice
[ "Preorder.toLE", "BddAbove", "bddAbove_empty", "True", "eq_true", "Set.instEmptyCollection", "Nonempty", "EmptyCollection.emptyCollection", "Eq", "Preorder", "Set" ]
false
CategoryTheory.Functor.instEffectiveEpiEffectiveEpiOver
Mathlib.CategoryTheory.EffectiveEpi.Enough
[ "CategoryTheory.Functor", "CategoryTheory.Functor.EffectivelyEnough.presentation", "CategoryTheory.Functor.EffectivePresentation", "CategoryTheory.Functor.EffectivePresentation.effectiveEpi", "CategoryTheory.Functor.effectiveEpiOverObj", "Nonempty.some", "CategoryTheory.EffectiveEpi", "CategoryTheory....
true
derivWithin_fun_const
Mathlib.Analysis.Calculus.Deriv.Basic
[ "NormedCommRing.toNormedRing", "NormedCommRing.toSeminormedCommRing", "NormedRing.toRing", "NormedSpace", "congrArg", "AddCommGroup.toAddCommMonoid", "ContinuousLinearMap.funLike", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "AddGroupWithOne.toAddMonoidWithOne", "PseudoMetricSpace.toUnif...
true
CoeOut.mk
Init.Coe
[ "CoeOut.mk", "CoeOut", "semiOutParam" ]
true
CategoryTheory.Functor.IsCoverDense.sheafYonedaHom
Mathlib.CategoryTheory.Sites.DenseSubsite.Basic
[ "CategoryTheory.Functor.op", "CategoryTheory.Functor", "CategoryTheory.Functor.IsCoverDense", "Opposite", "CategoryTheory.coyoneda", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.yoneda", "CategoryTheory....
true
_private.Mathlib.Topology.UniformSpace.Closeds.0.IsCompact.nhds_hausdorff_eq_nhds_vietoris._simp_1_2
Mathlib.Topology.UniformSpace.Closeds
[ "Filter.instMembership", "Filter.le_principal_iff", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "LE.le", "propext", "Filter.principal", "Eq", "Filter", "Filter.instPartialOrder", "Set" ]
false
_private.Mathlib.AlgebraicTopology.SimplicialObject.II.0.SimplexCategory.II.last_mem_finset._simp_1_1
Mathlib.AlgebraicTopology.SimplicialObject.II
[ "SimplexCategory.II.finset", "Finset", "PartialOrder.toPreorder", "Membership.mem", "Exists", "Fin.castPred", "Ne", "instOfNatNat", "LE.le", "instLEFin", "instHAdd", "OrderHom.instFunLike", "Fin.instPartialOrder", "Finset.instSetLike", "HAdd.hAdd", "SimplexCategory.II.mem_finset_iff", ...
false
Stream'.Seq1.bind_assoc
Mathlib.Data.Seq.Basic
[ "Eq.mpr", "Stream'.Seq", "congrArg", "Function.comp", "Stream'.Seq.map", "Stream'.Seq.join_append", "id", "Prod.mk", "Stream'.Seq.join", "Stream'.Seq1.map", "Stream'.Seq.append_nil", "Stream'.Seq.nil", "Stream'.Seq1.bind", "Stream'.Seq.map_comp", "Stream'.Seq.recOn", "Stream'.Seq.appen...
true
Std.Time.Month.instInhabitedOrdinal
Std.Time.Date.Unit.Month
[ "Inhabited", "OfNat.ofNat", "Std.Time.Month.Ordinal", "Std.Time.Month.instOfNatOrdinal", "Inhabited.mk" ]
true
Nat.le_three_of_sqrt_eq_one
Mathlib.Data.Nat.Sqrt
[ "Nat.sqrt_lt", "HMul.hMul", "_private.Mathlib.Data.Nat.Sqrt.0.Nat.le_three_of_sqrt_eq_one._proof_1_1", "instMulNat", "Nat.sqrt", "instOfNatNat", "LE.le", "instLENat", "Nat.le_of_lt_succ", "Nat", "LT.lt", "Iff.mp", "instLTNat", "OfNat.ofNat", "Eq", "instHMul" ]
true
Derivation.couple._proof_10
Mathlib.RingTheory.Derivation.Lie
[ "CommRing", "CommSemiring.toSemiring", "Algebra.toModule", "Algebra.id", "smulCommClass_self", "NonUnitalNonAssocSemiring.toAddCommMonoid", "CommRing.toCommSemiring", "CommMonoid.toMonoid", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "CommSemiring.toCommMonoid", "Monoid.toSemigroup", "Modu...
false
_private.Mathlib.Order.ModularLattice.0.Set.Iic.isCompl_inf_inf_of_isCompl_of_le._simp_1_1
Mathlib.Order.ModularLattice
[ "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "Disjoint", "OrderBot", "disjoint_iff", "SemilatticeInf.toPartialOrder", "Bot.bot", "SemilatticeInf.toMin", "SemilatticeInf", "propext", "Eq", "Min.min" ]
false
Lean.Elab.Term.TacticMVarKind.term.sizeOf_spec
Lean.Elab.Term.TermElabM
[ "Lean.Elab.Term.TacticMVarKind.term", "instOfNatNat", "Lean.Elab.Term.TacticMVarKind", "Nat", "SizeOf.sizeOf", "Lean.Elab.Term.TacticMVarKind._sizeOf_inst", "Eq.refl", "OfNat.ofNat", "Eq" ]
true
Lean.PrettyPrinter.Delaborator.delabHOrElse._regBuiltin.Lean.PrettyPrinter.Delaborator.delabHOrElse_1
Lean.PrettyPrinter.Delaborator.Builtins
[ "IO", "Lean.PrettyPrinter.Delaborator.Delab", "Lean.Name.mkStr3", "Lean.PrettyPrinter.Delaborator.delabHOrElse", "Unit", "Lean.Name.mkStr4", "Lean.PrettyPrinter.Delaborator.delabAttribute", "Lean.KeyedDeclsAttribute.addBuiltin" ]
false
Lean.Parser.Term.app._regBuiltin.Lean.Parser.Term.ellipsis.formatter_11
Lean.Parser.Term
[ "Lean.PrettyPrinter.Formatter", "Lean.Name.mkStr5", "IO", "Unit", "Lean.Parser.Term.ellipsis.formatter", "Lean.PrettyPrinter.formatterAttribute", "Lean.Name.mkStr4", "Lean.KeyedDeclsAttribute.addBuiltin" ]
false
_private.Mathlib.Analysis.Normed.Field.Dense.0.IsAlgClosed.of_denseRange._simp_1_3
Mathlib.Analysis.Normed.Field.Dense
[ "Finset", "Finset.not_nonempty_iff_eq_empty", "Finset.instEmptyCollection", "propext", "Finset.Nonempty", "EmptyCollection.emptyCollection", "Eq", "Not" ]
false
CategoryTheory.Functor.WellOrderInductionData.Extension.limit._proof_3
Mathlib.CategoryTheory.SmallObject.WellOrderInductionData
[ "CategoryTheory.Functor.op", "Eq.mpr", "CategoryTheory.Functor", "Preorder.toLT", "isMin_iff_eq_bot._simp_1", "CategoryTheory.Functor.WellOrderInductionData", "Opposite", "CategoryTheory.Functor.WellOrderInductionData.Extension.map_zero", "OrderHom.monotone", "CategoryTheory.CategoryStruct.toQuive...
false
Partition.mk._flat_ctor
Mathlib.Order.Partition.Basic
[ "sSupIndep", "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "CompleteLattice.toConditionallyCompleteLattice", "CompleteLattice.toBoundedOrder", "Bot.bot", "Partition", "BoundedOrder.toOrderBot", "Condit...
false
instCStarAlgebraSubtypeMemStarSubalgebraComplexElemental._proof_5
Mathlib.Analysis.CStarAlgebra.Classes
[ "CStarAlgebra.toNonUnitalCStarAlgebra", "NonUnitalCStarAlgebra.toNonUnitalNormedRing", "SeminormedAddGroup.toAddGroup", "NormedRing.toRing", "Ring.toNonAssocRing", "ContinuousStar", "PseudoMetricSpace.toUniformSpace", "NormedStarGroup.to_continuousStar", "CStarAlgebra.toNormedRing", "CStarAlgebra....
false
MvPolynomial.degrees_neg
Mathlib.Algebra.MvPolynomial.CommRing
[ "Finsupp.instAddZeroClass", "Eq.mpr", "NegZeroClass.toNeg", "Nat.instMulZeroClass", "CommRing", "Lattice.toSemilatticeSup", "Finsupp.toMultiset", "congrArg", "Finset", "AddMonoid.toAddZeroClass", "Multiset.instAddCancelCommMonoid", "Multiset.instLattice", "Nat.instAddMonoid", "AddZeroClass...
true
Mathlib.Tactic.BicategoryLike.MkMor₂.casesOn
Mathlib.Tactic.CategoryTheory.Coherence.Datatypes
[ "Mathlib.Tactic.BicategoryLike.Mor₂", "Lean.Expr", "Mathlib.Tactic.BicategoryLike.MkMor₂", "Mathlib.Tactic.BicategoryLike.MkMor₂.mk", "Mathlib.Tactic.BicategoryLike.MkMor₂.rec" ]
false
_private.Mathlib.NumberTheory.NumberField.CanonicalEmbedding.ConvexBody.0.NumberField.mixedEmbedding.convexBodyLT'_mem._simp_1_5
Mathlib.NumberTheory.NumberField.CanonicalEmbedding.ConvexBody
[ "AddGroup.toSubtractionMonoid", "Norm.norm", "SeminormedAddGroup.toNorm", "Real", "SeminormedAddGroup.toAddGroup", "SeminormedAddGroup", "Real.instLT", "Membership.mem", "Metric.ball", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "SeminormedAddGroup.toPseudoMetric...
false
CategoryTheory.RightRigidCategory.noConfusionType
Mathlib.CategoryTheory.Monoidal.Rigid.Basic
[ "CategoryTheory.HasRightDual", "CategoryTheory.MonoidalCategory", "CategoryTheory.RightRigidCategory", "CategoryTheory.RightRigidCategory.casesOn", "HEq", "CategoryTheory.Category" ]
false