name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
686
allowCompletion
bool
2 classes
Lean.Linter.whenLinterActivated
Mathlib.Lean.Linter
[ "Pure.pure", "Lean.Elab.Command.CommandElab", "Lean.Option", "Lean.Elab.Command.instMonadLogCommandElabM", "Lean.withSetOptionIn", "Lean.Linter.whenLinterOption", "Lean.Syntax", "Lean.Elab.Command.instMonadEnvCommandElabM", "IO.RealWorld", "EIO", "instDecidableEqBool", "instMonadEIO", "Appli...
true
SpecialLinearGroup.SL2Z_generators
Mathlib.LinearAlgebra.Matrix.FixedDetMatrices
[ "Eq.mpr", "Matrix.SpecialLinearGroup", "Subgroup.instSubgroupClass", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Subgroup.closure", "CommRing.toNonUnitalCommRing", "Int.instNeZeroOfNatOfNat", "Monoid.toMulOneClass", "abs", "congrArg", "Matrix", "instDecidableEqFin", "AddGroupWithOne.to...
true
Int64.toUInt64_neg
Init.Data.SInt.Lemmas
[ "UInt64", "Int64", "Int64.instNeg", "Int64.toUInt64", "Eq", "Neg.neg", "rfl", "instNegUInt64" ]
true
Multipliable.tprod_subtype_mul_tprod_subtype_compl
Mathlib.Topology.Algebra.InfiniteSum.Group
[ "UniformSpace", "IsUniformGroup.to_topologicalGroup", "CompleteSpace", "Multipliable.subtype", "HMul.hMul", "HasProd.unique", "Monoid.toMulOneClass", "Compl.compl", "setOf", "Function.comp", "Membership.mem", "Set.Elem", "MulOne.toMul", "IsTopologicalGroup.toContinuousMul", "DivInvMonoid...
true
ContinuousAffineMap.comp_contLinear
Mathlib.Topology.Algebra.ContinuousAffineMap
[ "ContinuousLinearMap.comp", "ContinuousAffineMap.contLinear", "AddCommGroup.toAddCommMonoid", "IsTopologicalAddTorsor", "AddCommGroup.toAddGroup", "AddCommGroup", "ContinuousAffineMap", "ContinuousLinearMap", "TopologicalSpace", "AddTorsor", "Module", "ContinuousAffineMap.comp", "RingHom.id"...
true
_private.Init.Data.SInt.Lemmas.0.Int64.lt_of_le_of_ne._simp_1_3
Init.Data.SInt.Lemmas
[ "Int64.toInt", "Int64.toInt_inj", "Int64", "Int", "propext", "Eq.symm", "Eq" ]
false
DyckWord.ctorIdx
Mathlib.Combinatorics.Enumerative.DyckWord
[ "DyckWord", "Nat" ]
false
Std.IterM.toIter_mk
Init.Data.Iterators.Basic
[ "Std.IterM.toIter", "Std.IterM.mk", "Id", "Std.Iter.mk", "Std.Iter", "Eq", "rfl" ]
true
_private.Lean.Elab.Quotation.0.Lean.Elab.Term.Quotation.markRhss.match_1
Lean.Elab.Quotation
[ "Lean.TSyntax", "Prod.mk", "List.cons", "Lean.SyntaxNodeKind", "Prod", "Prod.casesOn", "Lean.Name.mkStr1", "List.nil" ]
false
_private.Batteries.Data.List.Lemmas.0.List.countPBefore_cons_succ_of_pos._proof_1_2
Batteries.Data.List.Lemmas
[ "False", "of_decide_eq_true", "eq_false", "congrArg", "Classical.byContradiction", "HSub.hSub", "Eq.mp", "List.countPBefore_cons", "id", "instDecidableEqBool", "instSubNat", "instOfNatNat", "LE.le", "ite_cond_eq_true", "instLENat", "List.cons", "Nat.Simproc.add_eq_gt", "Nat.Simproc...
false
CategoryTheory.Pretriangulated.Triangle.shiftFunctorAdd'.congr_simp
Mathlib.CategoryTheory.Triangulated.TriangleShift
[ "CategoryTheory.Functor", "CategoryTheory.Functor.Additive", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.shiftFunctor", "CategoryTheory.Iso", "Int", "Int.instAddMonoid", "CategoryTheory.Pretriangulated.Triangle", "CategoryTheory.Pretriangulated.Triangle.shiftF...
true
IsLocalization.exists_mk'_eq
Mathlib.RingTheory.Localization.Defs
[ "IsLocalization.mk'_surjective", "IsLocalization", "CommSemiring.toSemiring", "Algebra", "Membership.mem", "_private.Mathlib.RingTheory.Localization.Defs.0.IsLocalization.exists_mk'_eq.match_1_1", "Exists", "Subtype", "Prod.mk", "NonAssocSemiring.toMulZeroOneClass", "MulZeroOneClass.toMulOneClas...
true
MeasureTheory.SimpleFunc.instNonAssocRing._proof_7
Mathlib.MeasureTheory.Function.SimpleFunc
[ "MeasureTheory.SimpleFunc.instAdd", "AddMonoidWithOne.natCast_zero._autoParam", "NonAssocSemiring.toAddCommMonoidWithOne", "MulOne.toOne", "AddMonoid.toAddSemigroup", "MeasureTheory.SimpleFunc.coe_add", "MeasureTheory.SimpleFunc.instAddCommGroup", "AddMonoid.toZero", "NonUnitalNonAssocRing.toAddComm...
false
Mathlib.Tactic.Push.elabHead
Mathlib.Tactic.Push
[ "Pure.pure", "Lean.MessageData", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Lean.Elab.Term.Context.mayPostpone", "Lean.Elab.Term.Context.inPattern", "Lean.Elab.Term.instAddErrorMessageContextTermElabM", "Lean.Elab.Term.Context.checkDeprecated", "Lean.Elab.Term.instMonadMacroAdapt...
true
_private.Init.Data.List.Nat.BEq.0.List.beq_eq_isEqv._simp_1_2
Init.Data.List.Nat.BEq
[ "Nat.forall_lt_succ_left'", "instOfNatNat", "instHAdd", "And", "Nat.forall_lt_succ_left'._proof_4", "HAdd.hAdd", "Nat", "LT.lt", "propext", "instAddNat", "Nat.forall_lt_succ_left'._proof_2", "instLTNat", "OfNat.ofNat", "Eq" ]
false
Char.toUpper_toUpper_eq_toUpper
Batteries.Data.Char.AsciiCasing
[ "Char.isLower_toUpper_eq_false", "False", "congrArg", "Bool.false_eq_true", "Char.toUpper", "Char.toUpper_eq_of_not_isLower", "Bool.true", "True", "eq_self", "Bool", "of_eq_true", "congrFun'", "Char", "not_false_eq_true", "Bool.false", "Eq", "Not", "Eq.trans", "Char.isLower" ]
true
Aesop.Frontend.RuleExpr.rec_1
Aesop.Frontend.RuleExpr
[ "Aesop.Frontend.RuleExpr.node", "List.cons", "Array", "List", "Aesop.Frontend.RuleExpr", "Aesop.Frontend.Feature", "Array.mk", "List.nil" ]
false
LinearEquiv.toSpanNonzeroSingleton._proof_4
Mathlib.LinearAlgebra.Span.Basic
[ "Submodule", "IsDomain", "Semiring.toModule", "AddCommGroup.toAddCommMonoid", "LinearMap.ker_eq_bot", "Module.IsTorsionFree", "LinearMap.ker", "LinearMap.instFunLike", "LinearMap.ker_toSpanSingleton", "AddCommGroup", "Ne", "SubtractionMonoid.toSubNegZeroMonoid", "Bot.bot", "SubNegZeroMonoi...
false
Polynomial.algebra
Mathlib.RingTheory.PolynomialAlgebra
[ "Polynomial.algebra._proof_1", "RingHom.toAlgebra'", "CommSemiring.toSemiring", "Algebra", "algebraMap", "Polynomial", "CommSemiring", "Polynomial.mapRingHom", "Polynomial.semiring", "Semiring", "Polynomial.commSemiring" ]
true
ContinuousMulEquiv.trans.eq_1
Mathlib.Topology.Algebra.ContinuousMonoidHom
[ "MulEquiv.trans", "Mul", "ContinuousMulEquiv.trans._proof_2", "ContinuousMulEquiv.mk", "TopologicalSpace", "ContinuousMulEquiv.trans._proof_1", "ContinuousMulEquiv.trans", "Eq.refl", "ContinuousMulEquiv", "Eq", "ContinuousMulEquiv.toMulEquiv" ]
true
_private.Mathlib.Combinatorics.SimpleGraph.Paths.0.SimpleGraph.Walk.IsCycle.three_le_length.match_1_3
Mathlib.Combinatorics.SimpleGraph.Paths
[ "HEq.refl", "SimpleGraph.Adj", "SimpleGraph.Walk.IsCycle", "SimpleGraph.Walk.support", "SimpleGraph.Walk", "SimpleGraph.Walk.casesOn", "Ne", "List.tail", "SimpleGraph", "List.Nodup", "SimpleGraph.Walk.cons", "SimpleGraph.Walk.nil", "eq_of_heq", "Eq.ndrec", "Eq.refl", "HEq", "Eq.symm"...
false
_private.Mathlib.Data.Int.Interval.0.Finset.Ico_succ_succ._simp_1_2
Mathlib.Data.Int.Interval
[ "Finset", "Membership.mem", "Insert.insert", "Finset.mem_insert", "Finset.instInsert", "Finset.instSetLike", "propext", "Or", "Eq", "SetLike.instMembership", "DecidableEq" ]
false
OrderMonoidIso.instEquivLike.eq_1
Mathlib.Algebra.Order.Hom.Monoid
[ "OrderMonoidIso.instEquivLike._proof_1", "Mul", "MulEquiv.toEquiv", "Equiv.toFun", "OrderMonoidIso.instEquivLike._proof_2", "EquivLike", "OrderMonoidIso", "OrderMonoidIso.toMulEquiv", "Eq.refl", "OrderMonoidIso.instEquivLike", "EquivLike.mk", "Eq", "OrderMonoidIso.instEquivLike._proof_3", ...
true
isOpen_iff_ultrafilter
Mathlib.Topology.Ultrafilter
[ "Filter.instMembership", "Eq.mpr", "congrArg", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "nhds", "id", "LE.le", "iff_self", "TopologicalSpace", "Iff", "implies_congr", "_private.Mathlib.Topology.Ultrafilter.0.isOpen_iff_ultrafilter._simp_1_2", "True", "of_eq_true", ...
true
AddCommGrpCat.Forget₂.createsLimit._proof_7
Mathlib.Algebra.Category.Grp.Limits
[ "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "AddMonCat.instConcreteCategoryAddMonoidHomCarrier", "Equiv.instEquivLike", "CategoryTheory.Limits.Types.Small.limitCone", "AddCommGrpCat.instCategory", "AddCommGrpCat.Forget₂.createsLimit._proof_6", "AddGrpCat.i...
false
Hyperreal.infinitePos_mul_of_not_infinitesimal_pos_infinitePos
Mathlib.Analysis.Real.Hyperreal
[ "Hyperreal.instField", "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring", "Hyperreal.infinitePos_mul_of_infinitePos_not_infinitesimal_pos", "Preorder.toLT", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "CommRing.toNonUnitalCommRing", "PartialOrder.toPreorder", "NonUnitalNo...
true
Lean.Grind.IntInterval.isFinite.eq_4
Init.Grind.ToInt
[ "Lean.Grind.IntInterval.ii", "Lean.Grind.IntInterval.isFinite", "Bool", "Eq.refl", "Bool.false", "Eq" ]
true
Complex.cderiv._proof_1
Mathlib.Analysis.Complex.LocallyUniformLimit
[ "Nat.instAtLeastTwoHAddOfNat", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat.instNeZeroSucc", "Nat", "instAddNat", "OfNat.ofNat", "Nat.AtLeastTwo" ]
false
Fin.castSucc_eq_zero_iff._simp_1
Init.Data.Fin.Lemmas
[ "instNeZeroNatHAdd_1", "Zero.ofOfNat0", "Fin.instOfNat", "instOfNatNat", "Fin.castSucc_eq_zero_iff", "instHAdd", "HAdd.hAdd", "Nat.instNeZeroSucc", "Nat", "propext", "instAddNat", "Fin.castSucc", "NeZero", "OfNat.ofNat", "Fin", "Eq" ]
false
_private.Init.Data.String.Decode.0.parseFirstByte_eq_oneMore_of_utf8DecodeChar?_eq_some._proof_1_3
Init.Data.String.Decode
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "of_decide_eq_true", "Lean.Omega.Constraint.mk", "HSub.hSub", "Lean.Omega.LinearCombo.eval", "Option.some", "Lean.Omega.combo_sat'", "id", "instDecidableEqBool", "Int.instNegInt", "instOfNatNat", "Int", "Nat.cast", "Lean.Omega.In...
false
_private.Mathlib.Algebra.Polynomial.Degree.Lemmas.0.Polynomial.degree_comp._simp_1_1
Mathlib.Algebra.Polynomial.Degree.Lemmas
[ "Polynomial.C", "Polynomial.eval", "NonUnitalNonAssocSemiring.toMulZeroClass", "RingHom", "instOfNatNat", "Polynomial.comp_eq_zero_iff", "Polynomial", "Polynomial.coeff", "And", "NoZeroDivisors", "RingHom.instFunLike", "Distrib.toMul", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "Polyn...
false
Mathlib.Tactic.RingNF._aux_Mathlib_Tactic_Ring_RingNF___macroRules_Mathlib_Tactic_RingNF_convRing_nf!__1
Mathlib.Tactic.Ring.RingNF
[ "Pure.pure", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.Syntax.atom", "Lean.TSyntax.mk", "Lean.Syntax", "ReaderT.instMonad", "Lean.TSy...
false
SimpleGraph.UnitDistEmbedding.subsingleton._proof_2
Mathlib.Combinatorics.SimpleGraph.UnitDistance.Basic
[ "Function.injective_of_subsingleton", "Subsingleton", "Function.Injective" ]
false
hasSum_fourier_series_of_summable
Mathlib.Analysis.Fourier.AddCircle
[ "instInnerProductSpaceRealComplex", "NormedCommRing.toNormedRing", "Norm.norm", "Eq.mpr", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "MulOne.toOne", "fourierCoeff", "Real", "instHSMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "instSeparatelyContinuousAdd...
true
CategoryTheory.PreGaloisCategory.IsNaturalSMul.casesOn
Mathlib.CategoryTheory.Galois.IsFundamentalgroup
[ "CategoryTheory.Functor", "instHSMul", "CategoryTheory.PreGaloisCategory.IsNaturalSMul.rec", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "Finite", "FintypeCat", "Group", "CategoryTheory.PreGaloisCategory.IsNaturalSMul.mk", "DivInvMonoid.toMonoid...
false
CategoryTheory.Functor.FullyFaithful.homNatIsoMaxRight
Mathlib.CategoryTheory.Yoneda
[ "CategoryTheory.Functor.op", "CategoryTheory.Functor", "Opposite", "Equiv.trans", "CategoryTheory.Functor.category", "ULift", "CategoryTheory.Functor.comp", "CategoryTheory.yoneda", "Equiv.ulift", "CategoryTheory.Iso", "Equiv.toIso", "CategoryTheory.Functor.isoWhiskerLeft", "CategoryTheory.I...
true
_private.Mathlib.Analysis.Polynomial.CauchyBound.0.Polynomial.IsRoot.norm_lt_cauchyBound._simp_1_10
Mathlib.Analysis.Polynomial.CauchyBound
[ "GroupWithZero.toMonoidWithZero", "False", "GroupWithZero.toDivInvMonoid", "eq_false", "GroupWithZero", "DivInvMonoid.toZPow", "Ne", "Int", "MonoidWithZero.toMulZeroOneClass", "HPow.hPow", "Zero.toOfNat0", "zpow_ne_zero", "instHPow", "MulZeroOneClass.toMulZeroClass", "OfNat.ofNat", "Eq...
false
Finset.Nonempty.of_image
Mathlib.Data.Finset.Image
[ "Finset", "Finset.image_nonempty", "Iff.mp", "Finset.Nonempty", "Finset.image", "DecidableEq" ]
true
CategoryTheory.surjective_up_to_refinements_of_epi
Mathlib.CategoryTheory.Abelian.Refinements
[ "CategoryTheory.Epi", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Abelian", "Exists", "inferInstance", "CategoryTheory.CategoryStruct.comp", "Iff.mp", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.epi_iff_surjective_up_to_refinements", "Eq", "CategoryT...
true
SimpleGraph.Hom.injective_of_top_hom
Mathlib.Combinatorics.SimpleGraph.Maps
[ "Iff.mpr", "RelHom.instFunLike", "SimpleGraph.Adj", "SimpleGraph.ne_of_adj", "SimpleGraph.Hom.map_adj", "id", "SimpleGraph.top_adj", "Ne", "SimpleGraph", "Mathlib.Tactic.Contrapose.contrapose₁", "BooleanAlgebra.toTop", "SimpleGraph.completeAtomicBooleanAlgebra", "Function.Injective", "Simp...
true
CategoryTheory.Sheaf.instAddCommGroupH._aux_4
Mathlib.CategoryTheory.Sites.SheafCohomology.Basic
[ "Int.instAddCommGroup", "instCategoryDerivedCategory", "CategoryTheory.Functor", "CategoryTheory.constantSheaf", "DerivedCategory", "Opposite", "Equiv.instEquivLike", "ULift.addCommGroup", "AddCommGrpCat.instCategory", "CategoryTheory.HasSheafify", "AddMonoid.toAddZeroClass", "CategoryTheory.F...
false
Std.Do.WP.liftWith_refl
Std.Do.WP.SimpLemmas
[ "instMonadControlTOfPure", "Std.Do.PostCond", "Std.Do.Assertion", "Pure", "Std.Do.PostShape", "Std.Do.WP", "Std.Do.PredTrans.apply", "MonadControlT.liftWith", "Eq", "rfl", "Std.Do.WP.wp" ]
true
ENat.LEInfty.out
Mathlib.Geometry.Manifold.IsManifold.Basic
[ "ENat.LEInfty", "instTopENat", "WithTop.instPreorder", "Preorder.toLE", "instPreorderENat", "LE.le", "WithTop.some", "ENat", "Top.top", "WithTop" ]
true
Lean.Compiler.LCNF.TraverseFVar.forFVarM
Lean.Compiler.LCNF.FVarUtil
[ "Lean.Compiler.LCNF.TraverseFVar", "Lean.FVarId", "Unit", "Monad" ]
true
Lean.Meta.initFn._@.Lean.Meta.Tactic.Intro.3089346791._hygCtx._hyg.4
Lean.Meta.Tactic.Intro
[ "Lean.Option", "IO", "Lean.Option.Decl.mk", "Bool.true", "Lean.KVMap.instValueBool", "Lean.Option.register", "Bool", "Lean.Name.mkStr2", "Lean.Name.mkStr4" ]
false
isClosed_of_mem_irreducibleComponents
Mathlib.Topology.Irreducible
[ "Eq.mpr", "irreducibleComponents", "congrArg", "subset_closure", "IsIrreducible", "closure_eq_iff_isClosed", "Membership.mem", "id", "LE.le", "Set.instAntisymmSubset", "eq_comm", "IsIrreducible.closure", "IsClosed", "TopologicalSpace", "closure", "Set.instLE", "And.right", "And.lef...
true
Subgroup.instDistribMulActionSubtypeMem._proof_2
Mathlib.Algebra.Group.Subgroup.Actions
[ "instHSMul", "Monoid.toMulOneClass", "Submonoid.instDistribMulActionSubtypeMem._proof_2", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "Group", "Membership.mem", "AddZeroClass.toAddZero", "Subtype", "DistribSMul.toSMulZeroClass", "DivInvMonoid.toMonoid", "Subgroup", "Group.t...
false
Std.DHashMap.containsThenInsertIfNew_fst
Std.Data.DHashMap.Lemmas
[ "Std.DHashMap.Internal.Raw₀.containsThenInsertIfNew_fst", "Std.DHashMap.Raw", "instOfNatNat", "Prod.fst", "Subtype.mk", "Std.DHashMap.contains", "Std.DHashMap.inner", "Std.DHashMap.containsThenInsertIfNew", "Nat", "Std.DHashMap.Raw.buckets", "LT.lt", "Bool", "Std.DHashMap.Internal.AssocList"...
true
_private.Std.Tactic.BVDecide.LRAT.Internal.LRATCheckerSound.0.Std.Tactic.BVDecide.LRAT.Internal.lratChecker.match_3.eq_3
Std.Tactic.BVDecide.LRAT.Internal.LRATCheckerSound
[ "Std.Tactic.BVDecide.LRAT.Action.addEmpty", "Std.Tactic.BVDecide.LRAT.Action", "Std.Tactic.BVDecide.LRAT.Action.del", "Std.Tactic.BVDecide.LRAT.Action.addRat", "List.cons", "Std.Tactic.BVDecide.LRAT.Internal.lratChecker.match_3", "Array", "List", "Unit", "Nat", "Eq.refl", "Prod", "Std.Sat.Li...
true
le_of_forall_neg_add_le
Mathlib.Algebra.Order.Group.DenselyOrdered
[ "AddGroup.toSubtractionMonoid", "Preorder.toLT", "AddMonoid.toAddSemigroup", "LinearOrder", "OrderDual.denselyOrdered", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "AddLeftMono", "le_of_forall_pos_le_add", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "AddZeroClass.toAddZero", ...
true
IsCompact.closedBall_zero_add
Mathlib.Analysis.Normed.Group.Pointwise
[ "Eq.mpr", "Real.instLE", "Real", "SeminormedAddGroup.toAddGroup", "SeminormedAddCommGroup", "Real.instZero", "congrArg", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "AddZeroClass.toAddZero", "id", "SubtractionMonoid.toSubNegZeroMonoid", "...
true
IsUpperSet.compl
Mathlib.Order.UpperLower.Basic
[ "Compl.compl", "IsUpperSet", "Membership.mem", "LE.le", "Set.instCompl", "LE", "IsLowerSet", "Set.instMembership", "Set" ]
true
HomotopicalAlgebra.CofibrantObject.toHoCatLocalizerMorphism
Mathlib.AlgebraicTopology.ModelCategory.CofibrantObjectHomotopy
[ "CategoryTheory.Limits.hasFiniteCoproducts_of_hasFiniteColimits", "HomotopicalAlgebra.ModelCategory.cm1b", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Quotient.category", "CategoryTheory.Limits.hasColimitsOfShape_discrete", "HomotopicalAlgebra.CofibrantObject.instCategoryWith...
true
PowerBasis.trace_gen_eq_nextCoeff_minpoly
Mathlib.RingTheory.Trace.Basic
[ "Nontrivial", "PowerBasis", "Eq.mpr", "NegZeroClass.toNeg", "CommRing", "Fintype.card_fin", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "Polynomial.nextCoeff_of_natDegree_pos", "CommRing.toNonUnitalCommRing", "PowerBasis.dim", "Matrix.trace_eq_neg_charpoly_coeff", "...
true
Lean.Level.hash
Lean.Level
[ "Lean.Level.Data.hash", "UInt64", "Lean.Level.data", "Lean.Level" ]
true
Real.Angle.two_zsmul_eq_zero_iff
Mathlib.Analysis.SpecialFunctions.Trigonometric.Angle
[ "Eq.mpr", "instHSMul", "Real.pi", "Real.Angle", "Real.Angle.coe", "congrArg", "AddMonoid.toAddZeroClass", "AddMonoid.toNSMul", "PseudoMetricSpace.toUniformSpace", "AddZeroClass.toAddZero", "id", "SubtractionMonoid.toSubNegZeroMonoid", "instOfNatNat", "Int", "NormedAddGroup.toAddGroup", ...
true
Int.toList_rcc_eq_cons_iff._simp_1
Init.Data.Range.Polymorphic.IntLemmas
[ "Std.PRange.instUpwardEnumerableInt", "Int.toList_rcc_eq_cons_iff", "Int.decLe", "Int", "LE.le", "List.cons", "List", "instHAdd", "And", "instOfNat", "HAdd.hAdd", "Std.Rcc.toList", "propext", "Int.instAdd", "OfNat.ofNat", "Std.Rcc.mk", "Eq", "Std.PRange.instIsAlwaysFiniteInt", "I...
false
CategoryTheory.Functor.mapIso_hom
Mathlib.CategoryTheory.Iso
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Iso", "CategoryTheory.Functor.map", "Eq.refl", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Iso.hom", "Eq", "CategoryTheory.Functor.mapIso", "CategoryTheory.Functor.obj", "CategoryT...
true
inner_map_complex
Mathlib.Analysis.InnerProductSpace.LinearMap
[ "instInnerProductSpaceRealComplex", "LinearIsometryEquiv.instEquivLike", "Eq.mpr", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "Real", "SeminormedAddCommGroup", "HMul.hMul", "Inner.inner", "Real.instRCLike", "congrArg", "CommSemiring.toSemiring", "NormedSpace.to...
true
LinearMap.toContinuousBilinearMap._proof_11
Mathlib.Topology.Algebra.Module.FiniteDimensionBilinear
[ "NormedCommRing.toSeminormedCommRing", "ContinuousSMul", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "NormedField.toField", "AddZeroClass.toAddZero", "AddCommGroup", "DistribSMul.toSM...
false
OpenPartialHomeomorph.IsImage.iff_symm_preimage_eq
Mathlib.Topology.OpenPartialHomeomorph.IsImage
[ "PartialEquiv.target", "OpenPartialHomeomorph.toFun'", "Set.instInter", "OpenPartialHomeomorph.IsImage", "Inter.inter", "TopologicalSpace", "Iff", "Set.preimage", "Iff.trans", "OpenPartialHomeomorph.toPartialEquiv", "Eq", "OpenPartialHomeomorph", "Iff.symm", "OpenPartialHomeomorph.IsImage....
true
Submodule.prod_comap_inr
Mathlib.LinearAlgebra.Prod
[ "Submodule", "Submodule.addSubmonoidClass", "Submodule.mem_comap._simp_1", "congrArg", "AddMonoid.toAddZeroClass", "LinearMap.instFunLike", "Membership.mem", "AddZeroClass.toAddZero", "Prod.mk", "Submodule.prod", "LinearMap", "ZeroMemClass.zero_mem._simp_1", "Prod.fst", "AddCommMonoid", ...
true
Lean.Meta.Grind.Arith.Linear.IneqCnstrProof.combine.noConfusion
Lean.Meta.Tactic.Grind.Arith.Linear.Types
[ "Lean.Meta.Grind.Arith.Linear.IneqCnstrProof", "Lean.Meta.Grind.Arith.Linear.IneqCnstrProof.combine", "id", "Eq", "Lean.Meta.Grind.Arith.Linear.IneqCnstr", "Lean.Meta.Grind.Arith.Linear.IneqCnstrProof.noConfusion" ]
false
MeasureTheory.Integrable.congr'
Mathlib.MeasureTheory.Function.L1Space.Integrable
[ "MeasureTheory.ae", "Norm.norm", "Real", "MeasureTheory.Measure", "Filter.Eventually", "PseudoMetricSpace.toUniformSpace", "MeasureTheory.Integrable", "SeminormedAddGroup.toContinuousENorm", "MeasureTheory.HasFiniteIntegral.congr'", "MeasurableSpace", "SeminormedAddCommGroup.toSeminormedAddGroup...
true
CategoryTheory.ShortComplex.SnakeInput.v₂₃
Mathlib.Algebra.Homology.ShortComplex.SnakeLemma
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.ShortComplex.SnakeInput.L₃", "CategoryTheory.ShortComplex.SnakeInput.L₂", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.SnakeInput", "CategoryTheory.Abelian", "CategoryTheory...
true
Nat.factorization_centralBinom_eq_zero_of_two_mul_lt
Mathlib.Data.Nat.Choose.Factorization
[ "Finsupp.instFunLike", "Nat.instMulZeroClass", "HMul.hMul", "instMulNat", "instOfNatNat", "Nat.centralBinom", "Nat", "LT.lt", "Nat.factorization_choose_eq_zero_of_lt", "instLTNat", "OfNat.ofNat", "Eq", "DFunLike.coe", "Finsupp", "Nat.factorization", "MulZeroClass.toZero", "instHMul" ...
true
isCompact_Ioo_iff._simp_1
Mathlib.Topology.Order.Compact
[ "OrderTopology", "Preorder.toLT", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "isCompact_Ioo_iff", "LE.le", "TopologicalSpace", "propext", "DenselyOrdered", "Eq", "Set.Ioo", "instDistribLatticeOfLinearOrder", "...
false
Lean.Elab.Structural.RecArgInfo.fixedParamPerm
Lean.Elab.PreDefinition.Structural.RecArgInfo
[ "Lean.Elab.Structural.RecArgInfo", "Lean.Elab.FixedParamPerm" ]
true
Lean.Elab.Term.elabLetRec._regBuiltin.Lean.Elab.Term.elabLetRec.declRange_3
Lean.Elab.LetRec
[ "Lean.addBuiltinDeclarationRanges", "Lean.DeclarationRange.mk", "IO", "instOfNatNat", "Unit", "Lean.Position.mk", "Nat", "OfNat.ofNat", "Lean.DeclarationRanges.mk", "Lean.Name.mkStr4" ]
false
IntermediateField.sum_mem
Mathlib.FieldTheory.IntermediateField.Basic
[ "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "Ring.toNonAssocRing", "IntermediateField", "Finset", "SubsemiringClass.toAddSubmonoidClass", "Algebra", "Membership.mem", "Field.toDivisionRing", "IntermediateField.instSubfieldClass", "NonUnitalNonAssocRing.toNonU...
true
AugmentedSimplexCategory.equivAugmentedSimplicialObjectFunctorCompDropIso
Mathlib.AlgebraicTopology.SimplexCategory.Augmented.Basic
[ "CategoryTheory.Functor.op", "CategoryTheory.Functor", "Opposite", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Iso.refl", "CategoryTheory.Iso", "CategoryTheory.Equivalence.functor", "CategoryTheory.SimplicialObject.Augmented.drop", "AugmentedSimplexCategory.in...
true
CategoryTheory.EnrichedCat.bicategory._proof_4
Mathlib.CategoryTheory.Enriched.EnrichedCat
[ "CategoryTheory.categoryForgetEnrichment", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ForgetEnrichment.of", "CategoryTheory.EnrichedNatTrans.out", "CategoryTheory.MonoidalCategory", "CategoryTheory.EnrichedFunctor.category", "CategoryTheory.ForgetEnrichment.t...
false
HomologicalComplex.extend_d_to_eq_zero
Mathlib.Algebra.Homology.Embedding.Extend
[ "Eq.mpr", "Option.eq_none_or_eq_some", "CategoryTheory.Limits.HasZeroMorphisms", "False", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "HomologicalComplex.extend.d_none_eq_zero", "CategoryTheory.Limits.comp_zero", "Option.some", "HomologicalComplex", "Exists", "id", ...
true
MeasureTheory.SimpleFunc.setToSimpleFunc_mono
Mathlib.MeasureTheory.Integral.FinMeasAdditive
[ "AddGroup.toSubtractionMonoid", "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "ContinuousLinearMap.toNormedAddCommGroup", "Real", "MeasureTheory.Measure", "Preorder.toLT", "MeasurableSet", "NormedSpace", "Real.denselyNormedField", "congrArg", "_private.Mathlib.MeasureTheory.Integral.FinMeas...
true
Matrix.SpecialLinearGroup.instPowNat
Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup
[ "CommRing", "Matrix.SpecialLinearGroup", "Pow", "CommSemiring.toSemiring", "Matrix", "AddGroupWithOne.toAddMonoidWithOne", "Subtype.mk", "Monoid.toPow", "AddMonoidWithOne.toOne", "Pow.mk", "CommRing.toCommSemiring", "Fintype", "HPow.hPow", "Nat", "One.toOfNat1", "instHPow", "Matrix.s...
true
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.Const.isEmpty_toList._simp_1_2
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "beqOfOrd", "Ordering", "Std.DTreeMap.Internal.Impl.compare_ne_iff_beq_eq_false", "Ordering.eq", "Ne", "Ord.compare", "BEq.beq", "propext", "Bool", "Bool.false", "Eq" ]
false
ENNReal.ofNNReal_add_natCast
Mathlib.Data.ENNReal.Basic
[ "NonAssocSemiring.toAddCommMonoidWithOne", "ENNReal.ofNNReal", "CommSemiring.toSemiring", "instAddCommMonoidWithOneENNReal", "Distrib.toAdd", "AddMonoidWithOne.toNatCast", "NNReal", "AddCommMonoidWithOne.toAddMonoidWithOne", "ENNReal.instCommSemiring", "Nat.cast", "instHAdd", "HAdd.hAdd", "N...
true
WithZero.not_lt_zero
Mathlib.Algebra.Order.GroupWithZero.Canonical
[ "False", "_private.Mathlib.Algebra.Order.GroupWithZero.Canonical.0.WithZero.not_lt_zero._simp_1_1", "congrArg", "WithZero.zero_ne_coe._simp_1", "Exists", "WithZero.instZero", "funext", "And", "exists_false._simp_1", "WithZero", "congr", "WithZero.coe", "LT.lt", "True", "or_self", "of_e...
true
Std.ExtDTreeMap.Const.get!
Std.Data.ExtDTreeMap.Basic
[ "Std.DTreeMap", "Ordering", "Std.DTreeMap.Equiv.constGet!_eq", "Std.TransCmp", "Std.ExtDTreeMap", "Inhabited", "Std.DTreeMap.Equiv", "Std.DTreeMap.Const.get!", "Std.ExtDTreeMap.lift" ]
true
Filter.Realizer.cofinite
Mathlib.Data.Analysis.Filter
[ "Filter.Realizer.mk", "Finset.instUnion", "Finset", "setOf", "Membership.mem", "CompleteLattice.toConditionallyCompleteLattice", "Finset.instEmptyCollection", "Filter.Realizer.cofinite._proof_4", "Finset.instSetLike", "CompleteBooleanAlgebra.toCompleteLattice", "Filter.cofinite", "Conditionall...
true
CategoryTheory.IsPushout.isVanKampen_iff
Mathlib.CategoryTheory.Adhesive.Basic
[ "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.Limits.WalkingSpan", "CategoryTheory.Limits.WidePushoutShape.struct", "CategoryTheory.Limits.Cocone", "CategoryTheory.Limits.Cocone.precompose", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.NatTrans.ext...
true
CochainComplex.mappingConeCompTriangle._proof_4
Mathlib.Algebra.Homology.HomotopyCategory.Triangulated
[ "HomologicalComplex.instCategory", "CochainComplex.mappingConeCompTriangle._proof_3", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AddGroupWithOne.toAddMonoidWithOne", "AddRightCancelSemigroup.toAddSemigroup", "AddCancelMonoid.toAddRightCancelMonoid", "CochainComplex.instHasHomotopyCofiber...
false
sup_eq_of_isMaxOn
Mathlib.Order.Filter.Extr
[ "Finset", "IsMaxOn", "PartialOrder.toPreorder", "Preorder.toLE", "OrderBot", "Membership.mem", "LE.le.antisymm", "Finset.sup_le", "SetLike.coe", "Finset.instSetLike", "Finset.sup", "SemilatticeSup.toPartialOrder", "Eq", "SemilatticeSup", "SetLike.instMembership", "Finset.le_sup" ]
true
Lean.Lsp.CompletionClientCapabilities.rec
Lean.Data.Lsp.Capabilities
[ "Lean.Lsp.CompletionClientCapabilities", "Lean.Lsp.CompletionClientCapabilities.mk", "Lean.Lsp.CompletionItemCapabilities", "Option" ]
false
ULift.normedRing._proof_2
Mathlib.Analysis.Normed.Ring.Basic
[ "Norm.norm", "SeminormedRing.toNorm", "Real", "Ring.toNeg", "AddMonoid.toAddSemigroup", "ULift", "SeminormedRing.toRing", "NonUnitalSemiring.toNonUnitalNonAssocSemiring", "SeminormedRing.dist_eq", "ULift.seminormedRing", "NonUnitalNonAssocSemiring.toAddCommMonoid", "instHAdd", "AddSemigroup....
false
CategoryTheory.MonoidalCategory.DayConvolutionUnit.instIsLeftKanExtensionProdDiscretePUnitExternalProductExtensionUnitLeftφ
Mathlib.CategoryTheory.Monoidal.DayConvolution
[ "CategoryTheory.Functor", "CategoryTheory.Functor.LeftExtension.mk", "CategoryTheory.Functor.IsLeftKanExtension", "CategoryTheory.MonoidalCategory.ExternalProduct.isPointwiseLeftKanExtensionExtensionUnitLeft", "CategoryTheory.Functor.LeftExtension.IsPointwiseLeftKanExtension.isLeftKanExtension", "Category...
true
Std.Broadcast.Sync.Receiver.recv
Std.Sync.Broadcast
[ "Std.Broadcast.Receiver.recv", "Task", "instMonadBaseIO", "Monad.toBind", "Inhabited", "Bind.bind", "BaseIO", "IO.wait", "Std.Broadcast.Sync.Receiver", "Option" ]
true
Lean.Lsp.InlayHintOptions.mk.noConfusion
Lean.Data.Lsp.LanguageFeatures
[ "Lean.Lsp.InlayHintOptions.mk", "Lean.Lsp.InlayHintOptions", "Lean.Lsp.WorkDoneProgressOptions", "id", "Lean.Lsp.InlayHintOptions.noConfusion", "Bool", "Eq", "Option" ]
false
CategoryTheory.ShiftedHom.homEquiv
Mathlib.CategoryTheory.Shift.ShiftedHom
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AddMonoid.toAddZeroClass", "CategoryTheory.Functor.category", "CategoryTheory.ShiftedHom.homEquiv._proof_3", "CategoryTheory.shiftFunctor", "CategoryTheory.Functor.id", "AddZeroClass.toAddZero", "Equiv.mk", "Equiv...
true
_private.Mathlib.Order.Filter.Cofinite.0.Filter.coprodᵢ_cofinite._simp_1_1
Mathlib.Order.Filter.Cofinite
[ "Filter.instMembership", "Filter.coprodᵢ", "Compl.compl", "Filter.compl_mem_coprodᵢ", "Membership.mem", "Function.eval", "Set.instCompl", "propext", "Set.image", "Eq", "Filter", "Set" ]
false
DerivedCategory.instIsTriangulated
Mathlib.Algebra.Homology.DerivedCategory.Basic
[ "CategoryTheory.Abelian.toPreadditive", "Int.instAddCommMonoid", "instCategoryDerivedCategory", "Int.instIsStrictOrderedRing", "DerivedCategory.instHasZeroObject", "DerivedCategory", "DerivedCategory.instCommShiftHomotopyCategoryIntUpQh", "DerivedCategory.Qh", "Int.instLinearOrder", "instIsLeftCan...
true
EuclideanGeometry.concyclic_singleton
Mathlib.Geometry.Euclidean.Sphere.Basic
[ "Real", "NormedSpace", "NormedSpace.toModule", "Set.instSingletonSet", "EuclideanGeometry.cospherical_singleton", "NormedAddTorsor.toAddTorsor", "MetricSpace", "EuclideanGeometry.Concyclic", "Real.instDivisionRing", "NormedAddCommGroup.toAddCommGroup", "MetricSpace.toPseudoMetricSpace", "Real....
true
_private.Mathlib.Logic.Denumerable.0.Nat.Subtype.le_succ_of_forall_lt_le._proof_1_2
Mathlib.Logic.Denumerable
[ "Lean.RArray.leaf", "False", "of_decide_eq_true", "congrArg", "Classical.byContradiction", "HSub.hSub", "Nat.Linear.ExprCnstr.eq_true_of_isValid", "Lean.Grind.Nat.lt_eq", "Membership.mem", "Exists", "Lean.RArray.branch", "Set.Elem", "id", "False.casesOn", "instSubNat", "instOfNatNat", ...
false
Perfection.instCommRing
Mathlib.RingTheory.Perfection
[ "CommRing", "Nat.Prime", "Perfection", "CommSemiring.toSemiring", "AddGroupWithOne.toAddMonoidWithOne", "Fact", "Perfection.instRing", "Monoid.toPow", "CommRing.toCommSemiring", "Nat", "CharP", "Perfection.instCommRing._proof_1", "CommRing.toRing", "Ring.toAddGroupWithOne", "CommRing.mk"...
true
_private.Mathlib.Data.ZMod.Basic.0.Nat.range_mul_add._simp_1_6
Mathlib.Data.ZMod.Basic
[ "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "AddZero.toZero", "instHAdd", "add_eq_left", "HAdd.hAdd", "IsLeftCancelAdd", "AddMonoid", "propext", "AddZero.toAdd", "Zero.toOfNat0", "OfNat.ofNat", "Eq" ]
false
sInf_add
Mathlib.Algebra.Order.Group.Pointwise.CompleteLattice
[ "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "sInf_image2_eq_sInf_sInf", "OrderIso.to_galoisConnection", "AddLeftMono", "Preorder.toLE", "AddRightMono", "CompleteLattice.toConditionallyCompleteLattice", "AddZeroClass.toAddZero", "OrderIso", "OrderIso.addRight", "OrderIso.symm", "Co...
true
SSet.RelativeMorphism.botEquiv
Mathlib.AlgebraicTopology.SimplicialSet.Homotopy
[ "SSet.Subcomplex.toSSet", "Lattice.toSemilatticeSup", "SSet.RelativeMorphism", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CompleteLattice.toLattice", "OrderBot.toBot", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "Preorder.toLE", "SSet.RelativeMorphis...
true
_private.Init.Data.Range.Polymorphic.SInt.0.HasModel.toNat_toInt_add_one_sub_toInt.match_1_1
Init.Data.Range.Polymorphic.SInt
[ "BitVec", "instOfNatNat", "GT.gt", "instHAdd", "HAdd.hAdd", "Nat", "instAddNat", "Nat.zero", "instLTNat", "OfNat.ofNat", "Nat.succ", "Nat.casesOn" ]
false
_private.Mathlib.CategoryTheory.Monoidal.DayConvolution.DayFunctor.0.CategoryTheory.MonoidalCategory.DayFunctor.hom_ext._proof_1_1
Mathlib.CategoryTheory.Monoidal.DayConvolution.DayFunctor
[ "CategoryTheory.Functor", "False", "eq_false", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.MonoidalCategory.DayFunctor.instCategory", "Quiver.Hom", "congrArg", "CategoryTheory.MonoidalCategory", "Classical.byContradiction", "CategoryTheory.Functor.category", "CategoryTheory.Monoida...
false
CategoryTheory.Adjunction.mkOfUnitCounit._proof_2
Mathlib.CategoryTheory.Adjunction.Basic
[ "CategoryTheory.Adjunction.CoreUnitCounit", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "funext_iff", "CategoryTheory.Functor.id", "CategoryTheory.CategoryStruct.id", "CategoryTheo...
false