name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
CategoryTheory.WithInitial.mkCommaObject_right_map
Mathlib.CategoryTheory.WithTerminal.Basic
[ "CategoryTheory.Functor", "CategoryTheory.Comma.right", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.WithInitial.incl", "CategoryTheory.Functor.category", "CategoryTheory.Functor.id", "CategoryTheory.Functor.map", "CategoryTheory.WithInitial", "CategoryTheory.WithInitial...
true
CategoryTheory.Pseudofunctor.DescentData.pullFunctor_obj
Mathlib.CategoryTheory.Sites.Descent.DescentData
[ "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Pseudofunctor.DescentData.pullFunctorObj", "CategoryTheory.locallyDiscreteBicategory", "CategoryTheory.Pseudofunctor.DescentData.instCategory", "CategoryTheory.Cat", "CategoryTheory.LocallyDiscrete", "CategoryTheory....
true
SimpleGraph.Subgraph.topIso._proof_3
Mathlib.Combinatorics.SimpleGraph.Subgraph
[ "SimpleGraph.Subgraph", "Membership.mem", "Set.Elem", "Subtype", "SimpleGraph.Subgraph.instTop", "Subtype.mk", "SimpleGraph", "Set.mem_univ", "SimpleGraph.Subgraph.topIso._proof_2", "Subtype.eta", "Top.top", "Subtype.val", "Eq", "Set.instMembership", "SimpleGraph.Subgraph.verts", "Set"...
false
BotHom.instDistribLattice._proof_4
Mathlib.Order.Hom.Bounded
[ "Lattice.toSemilatticeSup", "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "OrderBot", "DistribLattice.toLattice", "BotHom.instMin", "Bot", "DistribLattice", "BotHom.instFunLike", "SemilatticeSup.toPartialOrder", "Eq", "DFunLike.coe", "BotHom", "Min.min", "rfl", "Latti...
false
_private.Init.Data.String.Pattern.String.0.String.Slice.Pattern.ForwardSliceSearcher.toOption.eq_3
Init.Data.String.Pattern.String
[ "String.instLTRaw", "Vector", "HSub.hSub", "String.Slice.rawEndPos", "Option.some", "String.Slice", "Prod.mk", "instSubNat", "String.Slice.utf8ByteSize", "String.Pos.Raw", "String.Slice.Pattern.ForwardSliceSearcher.proper", "instHSub", "String.Slice.Pattern.ForwardSliceSearcher.buildTable", ...
true
ProbabilityTheory.variance_sub_const
Mathlib.Probability.Moments.Variance
[ "Eq.mpr", "Real", "MeasureTheory.Measure", "congrArg", "Real.instSub", "AddMonoid.toAddZeroClass", "sub_eq_add_neg", "HSub.hSub", "PseudoMetricSpace.toUniformSpace", "ProbabilityTheory.variance_add_const", "AddZeroClass.toAddZero", "id", "Real.instAddGroup", "ProbabilityTheory.variance", ...
true
Mathlib.Tactic.Ring.Common.Cache.ctorIdx
Mathlib.Tactic.Ring.Common
[ "Mathlib.Tactic.Ring.Common.Cache", "Lean.Expr.const", "Lean.Expr.sort", "Lean.Level", "List.cons", "Qq.Quoted", "Nat", "Lean.Expr.app", "Lean.Level.succ", "Lean.Name.mkStr1", "List.nil" ]
false
_private.Lean.Compiler.LCNF.AuxDeclCache.0.Lean.Compiler.LCNF.instBEqAuxDeclCacheKey.beq._proof_2
Lean.Compiler.LCNF.AuxDeclCache
[ "instLawfulBEq", "HEq.refl", "Lean.Compiler.LCNF.instDecidableEqPurity", "Lean.Compiler.LCNF.Purity", "instBEqOfDecidableEq", "Bool.true", "BEq.beq", "Bool", "_private.Lean.Compiler.LCNF.AuxDeclCache.0.Lean.Compiler.LCNF.instBEqAuxDeclCacheKey.beq._proof_1", "HEq", "LawfulBEq.eq_of_beq", "Eq" ...
false
_private.Init.Data.Option.Instances.0.Option.eq_none_of_isNone.match_1_1
Init.Data.Option.Instances
[ "Option.isNone", "False", "HEq.refl", "False.elim", "Option.casesOn", "noConfusion_of_Nat", "Option.some", "Eq.casesOn", "Bool.ctorIdx", "Bool.true", "Option.none", "Bool", "Eq.refl", "HEq", "Bool.false", "Eq", "Option" ]
false
Order.IsIdeal.Directed
Mathlib.Order.Ideal
[ "DirectedOn", "LE.le", "LE", "Order.IsIdeal", "Set" ]
true
CategoryTheory.Pretriangulated.productTriangle.π_hom₃
Mathlib.CategoryTheory.Triangulated.Basic
[ "CategoryTheory.Limits.HasProduct", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Pretriangulated.Triangle.obj₁", "CategoryTheory.Pretriangulated.Triangle.obj₃", "CategoryTheory.shiftFunctor", "CategoryTheory.Limits.Pi.π", "Int", "Int.instAddMonoid", "CategoryTheory.Pretr...
true
SimpleGraph.Subgraph.instFinite
Mathlib.Combinatorics.SimpleGraph.Subgraph
[ "SimpleGraph.Subgraph", "SimpleGraph.Adj", "Finite", "Classical.propDecidable", "inferInstance", "Finite.of_fintype", "Nonempty.intro", "SimpleGraph", "nonempty_fintype", "Fintype", "Nonempty.casesOn", "Nonempty", "SimpleGraph.Subgraph.instFintypeOfDecidableEqOfDecidableRelAdj", "Eq.refl",...
true
CategoryTheory.Limits.Pi.map_π
Mathlib.CategoryTheory.Limits.Shapes.Products
[ "CategoryTheory.Limits.limMap_π", "CategoryTheory.Limits.limit.π", "CategoryTheory.Limits.HasProduct", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Discrete.functor", "CategoryTheory.Limits.Pi.π", "CategoryTheory.Discrete.natTrans", "CategoryTheory.Discrete.m...
true
MeasureTheory.AEEqFun.mul_toGerm
Mathlib.MeasureTheory.Function.AEEqFun
[ "MeasureTheory.ae", "MeasureTheory.Measure", "HMul.hMul", "MeasureTheory.AEEqFun.toGerm", "continuous_mul", "Mul", "Filter.Germ.instMul", "MeasureTheory.AEEqFun", "MeasurableSpace", "TopologicalSpace", "ContinuousMul", "MeasureTheory.AEEqFun.comp₂_toGerm", "Filter.Germ", "MeasureTheory.AEE...
true
MvPolynomial.coeff_linearCombination_X_pow
Mathlib.Algebra.MvPolynomial.Coeff
[ "Finsupp.instFunLike", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "Semiring.toModule", "Finsupp.module", "HMul.hMul", "AddMonoidAlgebra.addAddCommMonoid", "congrArg", "CommSemiring.toSemiring", "LinearMap.instFunLike", "Finsupp.m...
true
_private.Mathlib.Lean.Meta.CongrTheorems.0.Lean.Meta.mkHCongrWithArity'.prove._sparseCasesOn_3
Mathlib.Lean.Meta.CongrTheorems
[ "Nat.ne_of_beq_eq_false", "Nat.shiftRight", "Nat.hasNotBit", "instOfNatNat", "List.rec", "List.cons", "Nat.land", "List", "Nat", "Bool", "Eq.refl", "OfNat.ofNat", "Bool.false", "List.ctorIdx", "List.nil" ]
false
UpperSet.Ici_ne_top._simp_2
Mathlib.Order.UpperLower.Principal
[ "False", "UpperSet", "eq_false", "UpperSet.Ici_ne_top", "Preorder.toLE", "UpperSet.Ici", "UpperSet.instTop", "Top.top", "Eq", "Preorder" ]
false
CategoryTheory.ObjectProperty.fullMonoidalClosedSubcategory._proof_2
Mathlib.CategoryTheory.Monoidal.Subcategory
[ "CategoryTheory.ihom.coev_naturality", "CategoryTheory.ObjectProperty.FullSubcategory.mk", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ihom.coev", "CategoryTheory.ObjectProperty.ι", "CategoryTheory.ObjectPro...
false
_private.Lean.IdentifierSuggestion.0.Lean.throwUnknownNameWithSuggestions.match_1
Lean.IdentifierSuggestion
[ "Unit.unit", "Option.casesOn", "Option.some", "Option.none", "Unit", "Lean.Name", "Option" ]
false
_private.Std.Time.Format.Basic.0.Std.Time.exactlyChars.go._unary._proof_1
Std.Time.Format.Basic
[ "Nat.lt_of_not_le", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "String", "InvImage", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.ofNat_sub_dich...
false
Lean.Elab.Tactic.Do.ProofMode.initFn._@.Lean.Elab.Tactic.Do.ProofMode.Cases.723085142._hygCtx._hyg.2
Lean.Elab.Tactic.Do.ProofMode.Cases
[ "Lean.Name.mkNum", "IO", "Lean.Name.mkStr", "instOfNatNat", "Lean.registerTraceClass", "Lean.Name.anonymous", "Unit", "Nat", "OfNat.ofNat", "Bool.false", "Lean.Name.mkStr4" ]
false
SupHom.subtypeVal
Mathlib.Order.Hom.Lattice
[ "SemilatticeSup.toMax", "Subtype", "Subtype.semilatticeSup", "Max.max", "SupHom", "Subtype.val", "SemilatticeSup", "SupHom.mk", "SupHom.subtypeVal._proof_1" ]
true
CStarMatrix.of_add_of
Mathlib.Analysis.CStarAlgebra.CStarMatrix
[ "Matrix.add", "Equiv.instEquivLike", "Matrix", "Equiv", "CStarMatrix.ofMatrix", "CStarMatrix", "instHAdd", "HAdd.hAdd", "CStarMatrix.instAdd", "Eq", "DFunLike.coe", "Add", "rfl", "EquivLike.toFunLike" ]
true
Lean.Expr.hasLooseBVarInExplicitDomain
Lean.Expr
[ "Lean.Expr.brecOn", "Lean.Expr.hasLooseBVarInExplicitDomain._f", "Lean.Expr", "Nat", "Bool" ]
true
CategoryTheory.Adjunction.homEquiv_naturality_right_square
Mathlib.CategoryTheory.Adjunction.Basic
[ "Eq.mpr", "CategoryTheory.Functor", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "id", "Equiv", "CategoryTheory.Functor.map", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Adjunction.homEquiv_naturality_right_symm", "Eq.refl", "CategoryTh...
true
LinearEquiv.coe_injective
Mathlib.Algebra.Module.Equiv.Defs
[ "RingHom", "AddCommMonoid", "RingHomInvPair", "DFunLike.coe_injective", "LinearEquiv", "Semiring", "LinearEquiv.instEquivLike", "Function.Injective", "Module", "Semiring.toNonAssocSemiring", "DFunLike.coe", "EquivLike.toFunLike" ]
true
Mathlib.Tactic.Group.group
Mathlib.Tactic.Group
[ "Lean.ParserDescr.nonReservedSymbol", "Lean.Parser.Tactic.location", "instOfNatNat", "Lean.ParserDescr.binary", "Lean.ParserDescr", "Lean.ParserDescr.unary", "Lean.ParserDescr.node", "Nat", "OfNat.ofNat", "Bool.false", "Lean.Name.mkStr1", "Lean.Name.mkStr4" ]
true
Std.Rxi.HasSize.casesOn
Init.Data.Range.Polymorphic.Basic
[ "Std.Rxi.HasSize.rec", "Nat", "Std.Rxi.HasSize", "Std.Rxi.HasSize.mk" ]
false
_private.Lean.Util.ReplaceLevel.0.Lean.Expr.ReplaceLevelImpl.replaceUnsafeM.match_1
Lean.Util.ReplaceLevel
[ "_private.Lean.Util.ReplaceLevel.0.Lean.Expr.ReplaceLevelImpl.replaceUnsafeM._sparseCasesOn_1", "Lean.Expr.const", "Lean.Expr.letE", "Lean.Expr", "Nat.hasNotBit", "Lean.Expr.sort", "Lean.Level", "Lean.Expr.mdata", "Lean.Expr.forallE", "List", "Lean.MData", "Lean.Expr.lam", "Nat", "Bool", ...
false
SeparationQuotient.instRing._proof_6
Mathlib.Topology.Algebra.SeparationQuotient.Basic
[ "IsSemitopologicalRing.toIsTopologicalAddGroup", "Semiring.toNatCast", "NegZeroClass.toNeg", "SeparationQuotient.instSemiring", "AddGroupWithOne.intCast_ofNat._autoParam", "SeparationQuotient.instIntCast", "Ring.toNonAssocRing", "IsTopologicalRing.toIsTopologicalSemiring", "AddGroupWithOne.toAddGrou...
false
Congr!.plausiblyEqualTypes._unsafe_rec
Mathlib.Tactic.CongrExclamation
[ "Pure.pure", "_private.Mathlib.Tactic.CongrExclamation.0.Congr!.plausiblyEqualTypes.match_1", "Subarray", "Lean.Meta.isProp", "instForInOfForIn'", "ReaderT", "instMonadControlTOfPure", "Lean.Meta.State", "_private.Mathlib.Tactic.CongrExclamation.0.Congr!.plausiblyEqualTypes.match_3", "Std.Stream.n...
false
Std.DTreeMap.Internal.Impl.isEmpty_insertMany_list
Std.Data.DTreeMap.Internal.Lemmas
[ "Eq.mpr", "Std.DTreeMap.Internal.Impl.isEmpty_eq_isEmpty", "Std.Internal.List.insertList", "Std.DTreeMap.Internal.Impl.SizedBalancedTree.impl", "Ord", "Std.instLawfulBEqOrd", "congrArg", "instForInOfForIn'", "beqOfOrd", "Std.DTreeMap.Internal.Impl.toListModel_insertMany_list", "Std.TransOrd", ...
true
MeasurableEq.mk
Mathlib.MeasureTheory.MeasurableSpace.Constructions
[ "MeasurableSet", "MeasurableEq", "MeasurableSpace", "Set.diagonal", "MeasurableEq.mk", "Prod", "Prod.instMeasurableSpace" ]
true
instComplSubtypeProdAndEqHMulFstSndOfNatHAdd
Mathlib.Algebra.Order.Ring.Idempotent
[ "MulOne.toOne", "HMul.hMul", "Monoid.toMulOneClass", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "MulOne.toMul", "Subtype", "Prod.mk", "Prod.fst", "AddCommMonoid", "Subtype.mk", "AddZero.toZero", "instHAdd", "MulOneClass.toMulOne", "And", "HAdd.hAdd", "CommMonoid.toMonoid",...
true
_private.Mathlib.Analysis.Polynomial.MahlerMeasure.0.Polynomial.mahlerMeasure_X_add_C._simp_1_1
Mathlib.Analysis.Polynomial.MahlerMeasure
[ "NegZeroClass.toNeg", "AddMonoid.toAddZeroClass", "HSub.hSub", "AddZeroClass.toAddZero", "SubtractionMonoid.toSubNegZeroMonoid", "SubtractionMonoid.toSubNegMonoid", "SubNegZeroMonoid.toNegZeroClass", "SubNegMonoid.toSub", "instHAdd", "instHSub", "HAdd.hAdd", "SubtractionMonoid", "AddZero.toA...
false
_private.Batteries.Data.RBMap.Lemmas.0.Batteries.RBNode.balance1.match_1.splitter._sparseCasesOn_2
Batteries.Data.RBMap.Lemmas
[ "Batteries.RBNode", "Nat.ne_of_beq_eq_false", "Nat.shiftRight", "Nat.hasNotBit", "Batteries.RBNode.nil", "instOfNatNat", "Batteries.RBNode.ctorIdx", "Nat.land", "Batteries.RBNode.rec", "Batteries.RBColor", "Nat", "Bool", "Eq.refl", "OfNat.ofNat", "Bool.false", "Batteries.RBNode.node" ]
false
Plausible.InjectiveFunction.instArbitraryInt
Mathlib.Testing.Plausible.Functions
[ "Pure.pure", "Plausible.InjectiveFunction.mk", "HMul.hMul", "Plausible.Gen.getSize", "Plausible.Gen.permutationOf", "ReaderT", "Monad.toApplicative", "ULift", "Plausible.InjectiveFunction.instArbitraryInt._proof_1", "ReaderT.instMonad", "Plausible.InjectiveFunction.instArbitraryInt.match_1", "...
true
HomotopicalAlgebra.CategoryWithCofibrations.recOn
Mathlib.AlgebraicTopology.ModelCategory.CategoryWithCofibrations
[ "CategoryTheory.MorphismProperty", "HomotopicalAlgebra.CategoryWithCofibrations.mk", "CategoryTheory.Category.toCategoryStruct", "HomotopicalAlgebra.CategoryWithCofibrations", "HomotopicalAlgebra.CategoryWithCofibrations.rec", "CategoryTheory.Category" ]
false
_private.Mathlib.MeasureTheory.Function.SimpleFunc.0.MeasureTheory.SimpleFunc.restrict_lintegral._simp_1_1
Mathlib.MeasureTheory.Function.SimpleFunc
[ "Finset", "MeasureTheory.SimpleFunc", "Membership.mem", "MeasureTheory.SimpleFunc.instFunLike", "MeasurableSpace", "Finset.instSetLike", "True", "eq_true", "MeasureTheory.SimpleFunc.range", "MeasureTheory.SimpleFunc.mem_range_self", "Eq", "DFunLike.coe", "SetLike.instMembership" ]
false
LieAlgebra.isNilpotent_ad_of_mem_rootSpace
Mathlib.Algebra.Lie.Weights.Chain
[ "LieHom", "LieAlgebra.toModule", "Module.End.instRing", "LieSubalgebra.lieAlgebra", "LieSubmodule.instSetLike", "Module.End.instMonoid", "instSMulOfMul", "LieRing.toAddCommGroup", "LieSubalgebra.instSetLike", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "LieAlgebra.ad", "LieMod...
true
Nat.isLeast_nth_of_infinite
Mathlib.Data.Nat.Nth
[ "setOf", "Set.Finite", "Nat.isLeast_nth", "instLENat", "IsLeast", "And", "absurd", "Set.Finite.toFinset", "Nat", "LT.lt", "Finset.card", "Nat.nth", "instLTNat", "Set.Infinite" ]
true
CliffordAlgebra.reverseOp_ι
Mathlib.LinearAlgebra.CliffordAlgebra.Conjugation
[ "CliffordAlgebra.ι", "CommRing", "CliffordAlgebra.lift_ι_apply", "Ring.toNonAssocRing", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "CliffordAlgebra", "AlgHom", "MulOpposite.opLinearEquiv", "instAlgebraCliffordAlgebra", "AlgHom.funLike", "MulOpposite.instAlgebra", "MulOpposite...
true
Std.Time.Modifier.s.noConfusion
Std.Time.Format.Basic
[ "Std.Time.Modifier.noConfusion", "id", "Std.Time.Modifier.s", "Std.Time.Number", "Std.Time.Modifier", "Eq" ]
false
Lean.Meta.Grind.mkExtension._auto_1
Lean.Meta.Tactic.Grind.Extension
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
Lean.ScopedEnvExtension.ScopedEntries.casesOn
Lean.ScopedEnvExtension
[ "Lean.ScopedEnvExtension.ScopedEntries.mk", "Lean.PArray", "Lean.ScopedEnvExtension.ScopedEntries", "Lean.ScopedEnvExtension.ScopedEntries.rec", "Lean.SMap", "Lean.Name", "Lean.Name.instBEq", "Lean.instHashableName" ]
false
NonUnitalSubsemiring.instSetLike
Mathlib.RingTheory.NonUnitalSubsemiring.Defs
[ "SetLike", "AddMonoid.toAddZeroClass", "AddSubsemigroup.carrier", "AddZeroClass.toAddZero", "AddSubmonoid.toAddSubsemigroup", "NonUnitalNonAssocSemiring.toAddCommMonoid", "SetLike.mk", "NonUnitalSubsemiring.toAddSubmonoid", "NonUnitalSubsemiring", "AddZero.toAdd", "AddCommMonoid.toAddMonoid", ...
true
_private.Mathlib.CategoryTheory.Generator.Preadditive.0.CategoryTheory.Preadditive.isSeparating_iff._simp_1_1
Mathlib.CategoryTheory.Generator.Preadditive
[ "AddGroup.toSubtractionMonoid", "sub_eq_zero", "HSub.hSub", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "SubNegMonoid.toSub", "AddGroup", "instHSub", "AddGroup.toSubNegMonoid", "propext", "Zero.toOfNat0", "OfNat.ofNat", "NegZeroClass.toZero", "Eq" ]
false
Lean.Server.handleCodeActionResolve
Lean.Server.CodeActions.Basic
[ "Pure.pure", "Lean.Server.LazyCodeAction.lazy?", "Lean.instMonadEnvOfMonadLift", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Lean.NameMap", "Lean.Server.RequestContext", "Lean.Json", "Lean.Server.Snapshots.Snapshot", "_private.Lean.Server.CodeActions.Basic.0.Lean.Server.handleCo...
true
_private.Lean.Meta.Tactic.FunInd.0.Lean.Tactic.FunInd.M.tell
Lean.Meta.Tactic.FunInd
[ "Pure.pure", "Unit.unit", "Array.push", "Lean.Meta.State", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "Prod.mk", "Applicative.toPure", "Array", "Unit", "Lean.Core.CoreM", "StateRefT'", "StateRefT'.instMonad", "Lean.Core.instMonadCoreM", "Prod", "ReaderT.instApplicativeOfMonad", ...
true
Lean.Elab.Rewrites.evalExact._regBuiltin.Lean.Elab.Rewrites.evalExact.declRange_3
Lean.Elab.Tactic.Rewrites
[ "Lean.addBuiltinDeclarationRanges", "Lean.DeclarationRange.mk", "IO", "instOfNatNat", "Unit", "Lean.Position.mk", "Nat", "OfNat.ofNat", "Lean.DeclarationRanges.mk", "Lean.Name.mkStr4" ]
false
Lean.Elab.Term.elabWithoutExpectedTypeAttr
Lean.Elab.App
[ "Inhabited.default", "Lean.TagAttribute", "Lean.instInhabitedTagAttribute" ]
true
PseudoMetricSpace.noConfusionType
Mathlib.Topology.MetricSpace.Pseudo.Defs
[ "UniformSpace", "PseudoMetricSpace.casesOn", "Real.instLE", "Real", "iInf", "Real.instZero", "ENNReal.ofReal", "Compl.compl", "Filter.instInfSet", "uniformity", "setOf", "Real.instLT", "Membership.mem", "Exists", "Filter.sets", "LE.le", "Set.instCompl", "Prod.fst", "Real.instAdd"...
false
Real.tendsto_rightDeriv_mul_log_atTop
Mathlib.Analysis.SpecialFunctions.Log.NegMulLog
[ "Iff.mpr", "Real.instIsOrderedRing", "Eq.mpr", "Real.partialOrder", "Real", "Set.Ioi", "Real.instArchimedean", "Semiring.toModule", "HMul.hMul", "Real.denselyNormedField", "Real.instZero", "Real.instZeroLEOneClass", "congrArg", "tendsto_const_nhds", "Filter.Eventually", "AddMonoid.toAd...
true
Lean.Kernel.Exception.toMessageData
Lean.Message
[ "Lean.instBEqFVarId", "Lean.MessageData", "Lean.Kernel.Exception", "Std.instToFormatString", "Array.mkEmpty", "Lean.LocalContext.mk", "Lean.PersistentArrayNode.node", "Lean.FVarIdMap", "String", "Lean.MessageData.instAppend", "Lean.instEmptyCollectionFVarIdMap", "Function.comp", "Lean.Reduci...
true
Std.DTreeMap.Internal.Impl.getKeyD_alter!
Std.Data.DTreeMap.Internal.Lemmas
[ "Std.DTreeMap.Internal.Impl.getKeyD", "Std.DTreeMap.Internal.Impl.alter!", "Std.DTreeMap.Internal.Impl.alter_eq_alter!", "instDecidableEqOrdering", "Std.DTreeMap.Internal.Impl.SizedBalancedTree.impl", "Ord", "congrArg", "Std.DTreeMap.Internal.Impl.get?", "Std.TransOrd", "HSub.hSub", "Ordering", ...
true
Lean.Lsp.instFromJsonPartialResultParams
Lean.Data.Lsp.Basic
[ "Lean.Lsp.PartialResultParams", "Lean.FromJson", "Lean.FromJson.mk", "Lean.Lsp.instFromJsonPartialResultParams.fromJson" ]
true
isOpen_sum_iff
Mathlib.Topology.Constructions.SumProd
[ "Iff.rfl", "Sum", "Sum.inl", "instTopologicalSpaceSum", "TopologicalSpace", "And", "Iff", "Set.preimage", "Sum.inr", "IsOpen", "Set" ]
true
UniformSpace.Completion.uniformSpace._proof_4
Mathlib.Topology.UniformSpace.Completion
[ "UniformSpace", "Filter.map", "SeparationQuotient.instUniformSpace._proof_1", "uniformity", "Prod.map", "CauchyFilter.instUniformSpace", "Filter.Tendsto", "SeparationQuotient", "SeparationQuotient.mk", "Prod.swap", "CauchyFilter", "Prod", "UniformSpace.toTopologicalSpace", "UniformSpace.Co...
false
Monoid.toMulAction._proof_2
Mathlib.Algebra.Group.Action.Defs
[ "Monoid", "MulOne.toOne", "HMul.hMul", "Monoid.toMulOneClass", "MulOne.toMul", "MulOneClass.toMulOne", "One.toOfNat1", "OfNat.ofNat", "Eq", "one_mul", "instHMul" ]
false
subsingleton_iff_zero_eq_one
Mathlib.Algebra.GroupWithZero.Basic
[ "MulOne.toOne", "inferInstance", "MulZeroOneClass", "uniqueOfZeroEqOne", "MulZeroOneClass.toMulOneClass", "Unique.instSubsingleton", "MulOneClass.toMulOne", "Iff", "Iff.intro", "One.toOfNat1", "Zero.toOfNat0", "Subsingleton", "MulZeroOneClass.toMulZeroClass", "Subsingleton.elim", "OfNat....
true
Lean.instEmptyCollectionPrefixTree
Lean.Data.PrefixTree
[ "Ordering", "EmptyCollection.mk", "Lean.PrefixTree.empty", "Lean.PrefixTree", "EmptyCollection" ]
true
Equiv.removeNone_aux_none
Mathlib.Logic.Equiv.Option
[ "Iff.mpr", "Equiv.removeNone_aux", "of_eq_false", "False", "Equiv.instEquivLike", "Equiv.removeNone_aux._proof_1", "congrArg", "Option.not_isSome_iff_eq_none", "Bool.false_eq_true", "Option.some", "Equiv", "instDecidableEqBool", "Option.some_get", "Bool.true", "Option.none", "Option.ge...
true
Int32.toISize_ofNat
Init.Data.SInt.Lemmas
[ "instPowNat", "Eq.mpr", "congrArg", "HSub.hSub", "Int32.maxValue", "Int.decLe", "Int32.toISize_ofNat'", "id", "instOfNatNat", "Int", "Int.instNatPow", "LE.le", "Int32.toInt", "instLENat", "Nat.cast", "instHSub", "HPow.hPow", "instOfNat", "ISize.instOfNat", "Int32.toISize", "N...
true
MeasureTheory.eLpNormEssSup_le_of_ae_nnnorm_bound
Mathlib.MeasureTheory.Function.LpSeminorm.Basic
[ "MeasureTheory.ae", "Iff.mpr", "essSup_le_of_ae_le", "ENNReal.ofNNReal", "MeasureTheory.Measure", "Filter.map", "SeminormedAddGroup.toNNNorm", "NNNorm.nnnorm", "Filter.Eventually", "PartialOrder.toPreorder", "PseudoMetricSpace.toUniformSpace", "Preorder.toLE", "SeminormedAddGroup.toContinuou...
true
ZeroLEOneClass.rec
Mathlib.Algebra.Order.ZeroLEOne
[ "One", "ZeroLEOneClass.mk", "ZeroLEOneClass", "LE.le", "LE", "One.toOfNat1", "Zero.toOfNat0", "OfNat.ofNat", "Zero" ]
false
UpperHalfPlane.IsZeroAtImInfty.petersson_isZeroAtImInfty_left
Mathlib.NumberTheory.ModularForms.Petersson
[ "NormedCommRing.toSeminormedCommRing", "Subgroup.HasDetPlusMinusOne", "Real", "Complex.instNormedAddCommGroup", "OnePoint.infty", "Units.instTopologicalSpaceUnits", "Matrix", "DiscreteTopology", "ModularFormClass", "instDecidableEqFin", "Complex.instNormedField", "PseudoMetricSpace.toUniformSp...
true
List.Vector.instLawfulTraversableFlipNat
Mathlib.Data.Vector.Basic
[ "LawfulFunctor.mk", "Traversable.toFunctor", "Subtype.mk.congr_simp", "congrArg", "LawfulTraversable.mk", "List.map", "List.Vector.naturality", "List.Vector", "Subtype.casesOn", "List.Vector.traverse_eq_map_id", "Function.comp", "flip", "id", "Subtype", "List.map_map", "List.Vector.map...
true
SymbolicDynamics.FullShift.Pattern.rec
Mathlib.Dynamics.SymbolicDynamics.Basic
[ "Inhabited.default", "SymbolicDynamics.FullShift.Pattern.mk", "Finset", "Membership.mem", "SymbolicDynamics.FullShift.Pattern", "Finset.instSetLike", "Inhabited", "Eq", "Not", "SetLike.instMembership" ]
false
AddSubmonoid.instInfSet._proof_2
Mathlib.Algebra.Group.Submonoid.Basic
[ "AddSubmonoid.add_mem", "Set.iInter", "Membership.mem", "AddZeroClass.toAddZero", "AddSubmonoid", "AddSubmonoid.instInfSet._proof_1", "instHAdd", "AddZeroClass", "SetLike.coe", "HAdd.hAdd", "AddZero.toAdd", "AddSubmonoid.instSetLike", "Set.instMembership", "Set.mem_biInter", "Set" ]
false
PFunctor.Approx.Agree.continu
Mathlib.Data.PFunctor.Univariate.M
[ "PFunctor", "instOfNatNat", "PFunctor.Approx.Agree", "PFunctor.Approx.Agree.continu", "PFunctor.Approx.CofixA", "Nat", "OfNat.ofNat" ]
true
SlashInvariantForm.constℝ._proof_1
Mathlib.NumberTheory.ModularForms.SlashInvariantForms
[ "Int.instAddCommGroup", "UpperHalfPlane.glAction", "Real.instIsOrderedRing", "Units.val", "NormedCommRing.toSeminormedCommRing", "MulOne.toOne", "Subgroup.HasDetPlusMinusOne", "Real", "instHSMul", "MonoidHom.instFunLike", "InvOneClass.toOne", "RCLike.toNormedAlgebra", "HMul.hMul", "Real.la...
false
Eq.mpr_prop
Init.SimpLemmas
[ "Eq.rec", "Eq.symm", "Eq" ]
true
_private.Mathlib.Analysis.Analytic.Basic.0.HasFPowerSeriesWithinOnBall.congr._simp_1_1
Mathlib.Analysis.Analytic.Basic
[ "Membership.mem", "Insert.insert", "Set.instInsert", "propext", "Or", "Set.mem_insert_iff", "Eq", "Set.instMembership", "Set" ]
false
_private.Mathlib.Data.QPF.Multivariate.Basic.0.MvQPF.mem_supp._proof_1_1
Mathlib.Data.QPF.Multivariate.Basic
[ "False", "eq_false", "Lean.Grind.iff_eq", "HEq.refl", "Set.univ", "Classical.byContradiction", "Set.mem_image", "Membership.mem", "Exists", "Eq.mp", "id", "MvFunctor.LiftP", "MvPFunctor.A", "And.casesOn", "MvQPF.toMvFunctor", "And", "Iff", "Exists.casesOn", "Nat", "True", "eq...
false
_private.Mathlib.Algebra.Lie.CartanExists.0.LieAlgebra.engel_isBot_of_isMin._simp_1_6
Mathlib.Algebra.Lie.CartanExists
[ "LieSubmodule.instSetLike", "Submodule", "CommRing", "LieSubmodule.mem_mk_iff'", "Submodule.toAddSubmonoid", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "Bracket.bracket", "LieSubmodule", "AddSubsemigroup.carrier", "Membership.mem", "AddZeroClass.to...
false
Lean.Meta.SynthInstance.Waiter.recOn
Lean.Meta.SynthInstance
[ "Lean.Meta.SynthInstance.Waiter.consumerNode", "Lean.Meta.SynthInstance.ConsumerNode", "Lean.Meta.SynthInstance.Waiter", "Lean.Meta.SynthInstance.Waiter.rec", "Lean.Meta.SynthInstance.Waiter.root" ]
false
LieIdeal.lcs
Mathlib.Algebra.Lie.Nilpotent
[ "CommRing", "LieSubmodule.instTop", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Bracket.bracket", "LieSubmodule", "AddCommGroup", "LieSubmodule.hasBracket", "Nat.iterate", "LieRing", "CommRing.toCommSemiring", "Nat", "LieRingModule", "LieIdeal", "LieAlgebra", "Module", ...
true
ExteriorAlgebra.ι
Mathlib.LinearAlgebra.ExteriorAlgebra.Basic
[ "CliffordAlgebra.ι", "CommRing", "Semiring.toModule", "QuadraticMap.instZero", "Ring.toNonAssocRing", "ExteriorAlgebra", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "instAlgebraCliffordAlgebra", "QuadraticForm", "AddCommGroup", "Algebra.toModule", "NonUnitalNonAssocRing.toNonU...
true
AddSubmonoid.leftNeg
Mathlib.GroupTheory.Submonoid.Inverses
[ "AddSubmonoid.leftNeg._proof_1", "AddMonoid.toAddZeroClass", "setOf", "Membership.mem", "Exists", "AddZeroClass.toAddZero", "Subtype", "AddSubmonoid", "AddSubmonoid.mk", "AddSubsemigroup.mk", "AddSubmonoid.leftNeg._proof_2", "AddZero.toZero", "instHAdd", "HAdd.hAdd", "AddMonoid", "AddZ...
true
CategoryTheory.Bicategory.Adj.Hom.mk.inj
Mathlib.CategoryTheory.Bicategory.Adjunction.Adj
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Bicategory.toCategoryStruct", "CategoryTheory.Bicategory", "And", "CategoryTheory.Bicategory.Adj.Hom.mk", "And.intro", "eq_of_heq", "HEq", "CategoryTheory.Bicategory.Adj.Hom.mk.noConfusion", "CategoryTheory.Bicategory.Adj.Ho...
true
Matrix.projVandermonde_map
Mathlib.LinearAlgebra.Vandermonde
[ "RingHom.instRingHomClass", "CommRing", "HMul.hMul", "congrArg", "CommSemiring.toSemiring", "Matrix", "instDecidableEqFin", "HSub.hSub", "RingHom", "RingHomClass.toMonoidWithZeroHomClass", "instSubNat", "NonAssocSemiring.toMulZeroOneClass", "instOfNatNat", "map_pow", "MonoidWithZeroHomCl...
true
CategoryTheory.Subobject.isoOfEqMk_inv
Mathlib.CategoryTheory.Subobject.Basic
[ "CategoryTheory.Subobject.underlying", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "PartialOrder.toPreorder", "Preorder.smallCategory", "CategoryTheory.instPartialOrderSubobject", "CategoryTheory.Subobject.isoOfEqMk._proof_3", "CategoryTheory.Subobject.mk", "Eq.r...
true
Finset.noncommProd_singleton
Mathlib.Data.Finset.NoncommProd
[ "Monoid", "Multiset.map", "Monoid.toMulOneClass", "Finset", "List.map", "Finset.noncommProd_singleton._proof_1", "Membership.mem", "Multiset", "Finset.val", "Finset.noncommProd", "Subtype.mk", "Multiset.instMembership", "List.pmap._proof_1", "mul_one", "Finset.instSingleton", "Singleto...
true
_private.Mathlib.LinearAlgebra.Transvection.Basic.0.LinearEquiv.symm_mem_dilatransvections_iff._simp_1_1
Mathlib.LinearAlgebra.Transvection.Basic
[ "AddMonoid.toAddZeroClass", "sub_eq_add_neg", "HSub.hSub", "SubNegMonoid", "AddZeroClass.toAddZero", "SubNegMonoid.toSub", "instHAdd", "instHSub", "HAdd.hAdd", "SubNegMonoid.toNeg", "AddZero.toAdd", "SubNegMonoid.toAddMonoid", "Eq.symm", "Eq", "Neg.neg" ]
false
CategoryTheory.SimplicialObject.σ_δ₀Iter_assoc
Mathlib.AlgebraicTopology.SimplicialObject.DeltaZeroIter
[ "CategoryTheory.Category.assoc", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "Eq.mp", "id", "Mathlib.Tactic.Reassoc.eq_whisker'", "instOfNatNat", "CategoryTheory.SimplicialObject.σ_δ₀Iter._auto_3", "LE.le", "CategoryTheory.SimplicialObject.σ_δ₀Iter._proof_6"...
true
_private.Mathlib.Algebra.Homology.HomotopyCategory.MappingCocone.0.CochainComplex.mappingCocone.inr_v_descCochain_v._proof_1_1
Mathlib.Algebra.Homology.HomotopyCategory.MappingCocone
[ "Lean.RArray.leaf", "False", "HMul.hMul", "congrArg", "Classical.byContradiction", "Eq.mp", "Lean.RArray.branch", "Int.Linear.Expr.add", "id", "Lean.RArray", "Int.instNegInt", "instOfNatNat", "Int", "Int.Linear.Poly.num", "Int.instMul", "Int.Linear.Poly.add", "Int.Linear.norm_eq", ...
false
String.Pos.instLinearOrderPackage._proof_9
Init.Data.String.OrderInstances
[ "String", "String.instDecidableLePos", "Max", "inferInstance", "LE.le", "Max.leftLeaningOfLE", "Std.max_eq_if", "LE", "Std.instLawfulOrderLeftLeaningMax", "DecidableLE", "Max.max", "String.Pos", "String.instLEPos", "Eq", "ite" ]
false
FirstOrder.Language.Theory.ModelsBoundedFormula.eq_1
Mathlib.ModelTheory.Equivalence
[ "FirstOrder.Language.Theory.ModelType", "FirstOrder.Language.Theory.ModelType.struc", "FirstOrder.Language.Theory.ModelsBoundedFormula", "FirstOrder.Language.Theory", "FirstOrder.Language.BoundedFormula.Realize", "Nat", "FirstOrder.Language.Theory.ModelType.Carrier", "Eq.refl", "FirstOrder.Language"...
true
ContinuousMap.mem_setOfIdeal
Mathlib.Topology.ContinuousMap.Ideals
[ "Mathlib.Tactic.Push.not_forall_eq", "Eq.mpr", "Semiring.toModule", "_private.Mathlib.Topology.ContinuousMap.Ideals.0.ContinuousMap.mem_setOfIdeal._simp_1_3", "congrArg", "IsTopologicalSemiring", "Compl.compl", "ContinuousMap", "Iff.rfl", "setOf", "Membership.mem", "Exists", "id", "Continu...
true
PowerSeries.idealX._proof_1
Mathlib.RingTheory.LaurentSeries
[ "Eq.mpr", "Semiring.toModule", "Ideal.span_singleton_eq_bot", "congrArg", "CommSemiring.toSemiring", "Field.instIsLocalRing", "Set.instSingletonSet", "id", "Ne", "Bot.bot", "PowerSeries.X", "Ideal", "MvPowerSeries.instCommRing", "ne_eq", "Field.toSemifield", "Field.toCommRing", "NonU...
false
Graph.deleteEdges_le._simp_1
Mathlib.Combinatorics.Graph.Delete
[ "PartialOrder.toPreorder", "Preorder.toLE", "Graph", "LE.le", "Graph.deleteEdges", "True", "eq_true", "Graph.instPartialOrder", "Eq", "Graph.deleteEdges_le", "Set" ]
false
Lean.Parser.Command.prefix.formatter
Lean.Parser.Syntax
[ "Lean.PrettyPrinter.Formatter", "Lean.Parser.withCache.formatter", "Lean.Parser.leadingNode.formatter", "instOfNatNat", "Lean.PrettyPrinter.Formatter.withAntiquot.formatter", "Lean.Parser.symbol.formatter", "Bool.true", "Nat", "OfNat.ofNat", "Bool.false", "Lean.Parser.mkAntiquot.formatter", "L...
true
Std.DTreeMap.Const.minKey?_modify_eq_minKey?
Std.Data.DTreeMap.Lemmas
[ "Std.DTreeMap", "Std.DTreeMap.Const.modify", "Ord.mk", "Ordering", "Std.DTreeMap.inner", "Std.TransCmp", "Std.DTreeMap.Internal.Impl.Const.minKey?_modify_eq_minKey?", "Std.LawfulEqCmp", "Std.DTreeMap.wf", "Std.DTreeMap.minKey?", "Eq", "Option" ]
true
Orthonormal.exists_hilbertBasis_extension
Mathlib.Analysis.InnerProductSpace.l2Space
[ "Eq.mpr", "InnerProductSpace.toNormedSpace", "Submodule", "exists_maximal_orthonormal", "CompleteSpace", "Orthonormal", "congrArg", "HilbertBasis", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "Membership.mem", "NormedField.toField", "Exists",...
true
RootPairing.ofBilinear._proof_4
Mathlib.LinearAlgebra.RootSystem.OfBilinear
[ "Subtype.mk.congr_simp", "CommRing", "Algebra.to_smulCommClass", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "CommRing.toNonUnitalCommRing", "congrArg", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "LinearMap.IsReflective", "setOf", "Membership.mem", "...
false
snd_himp
Mathlib.Order.Heyting.Basic
[ "HImp", "Prod.instHImp", "Prod", "Eq", "Prod.snd", "rfl", "HImp.himp" ]
true
Bimod.AssociatorBimod.homAux._proof_1
Mathlib.CategoryTheory.Monoidal.Bimod
[ "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.MonoidalCategory.whisker_exchange", "CategoryTheory.Limits.PreservesColimitsOfSize", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "Bimod.TensorBimod.X._proof_1", "Bimod.TensorBimod.whiskerLeft_π_actLeft", "CategoryTheory.CategoryStruct...
false
AddCon.mkAddHom_apply
Mathlib.GroupTheory.Congruence.Hom
[ "AddCon", "AddHom", "AddCon.hasAdd", "AddHom.funLike", "Eq.refl", "AddCon.Quotient", "Eq", "DFunLike.coe", "AddCon.toQuotient", "AddCon.mkAddHom", "Add" ]
true
MulSemiringActionHom.comp._proof_4
Mathlib.GroupTheory.GroupAction.Hom
[ "Monoid", "MulOne.toOne", "HMul.hMul", "MonoidHom", "Monoid.toMulOneClass", "MulOne.toMul", "NonAssocSemiring.toMulZeroOneClass", "MulSemiringActionHom", "MulZeroOneClass.toMulOneClass", "MulSemiringActionHom.comp._proof_2", "RingHom.comp", "MulOneClass.toMulOne", "OneHom.toFun", "RingHomC...
false
ContinuousMap.instNonUnitalNormedRing._proof_3
Mathlib.Topology.ContinuousMap.Compact
[ "NonUnitalSeminormedRing", "HMul.hMul", "NonUnitalNonAssocRing.toMul", "ContinuousMap", "ContinuousMap.instNonUnitalSeminormedRing", "AddMonoid.toZero", "NonUnitalNonAssocRing.toAddCommGroup", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "NonUnitalRing.toNonUnitalNonAssocRing", ...
false