name
stringlengths
2
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module
stringlengths
6
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deps
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0
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allowCompletion
bool
2 classes
Polynomial.newtonMap_apply_of_not_isUnit
Mathlib.Dynamics.Newton
[ "Polynomial.derivative", "Units.val", "CommRing", "Semiring.toModule", "HMul.hMul", "eq_false", "AddGroupWithOne.toAddGroup", "congrArg", "CommSemiring.toSemiring", "sub_zero", "AlgHom", "MulZeroClass.zero_mul", "AlgHom.funLike", "Polynomial.algebraOfAlgebra", "LinearMap.instFunLike", ...
true
Nat.le_or_le_of_add_eq_add_pred
Init.Data.Nat.Lemmas
[ "_private.Init.Data.Nat.Lemmas.0.Nat.le_or_le_of_add_eq_add_pred._proof_1_1", "HSub.hSub", "instSubNat", "instOfNatNat", "LE.le", "instLENat", "instHAdd", "instHSub", "HAdd.hAdd", "Nat", "Decidable.byContradiction", "instAddNat", "Or", "OfNat.ofNat", "Eq", "instDecidableOr", "Not", ...
true
_private.Mathlib.MeasureTheory.Function.UnifTight.0.MeasureTheory.UnifTight.aeeq._simp_1_1
Mathlib.MeasureTheory.Function.UnifTight
[ "Compl.compl", "Membership.mem", "Set.instCompl", "propext", "Eq", "Set.instMembership", "Not", "Set.mem_compl_iff", "Set" ]
false
_private.Mathlib.Tactic.FieldSimp.0.Mathlib.Tactic.FieldSimp.qNF.mkDivProof._unary._proof_2
Mathlib.Tactic.FieldSimp
[ "IsRightCancelAdd.addRightStrictMono_of_addRightMono", "Nat.instCanonicallyOrderedAdd", "Lean.RArray.leaf", "Preorder.toLT", "Nat.instIsOrderedAddMonoid", "AddLeftCancelSemigroup.toIsLeftCancelAdd", "Nat.instOne", "congrArg", "true_or", "invImage", "covariant_swap_add_of_covariant_add", "AddMo...
false
SzemerediRegularity.bound.eq_1
Mathlib.Combinatorics.SimpleGraph.Regularity.Lemma
[ "Real.instIsOrderedRing", "SzemerediRegularity.bound", "SzemerediRegularity.stepBound", "Real.partialOrder", "Real", "instHDiv", "HMul.hMul", "FloorRing.toFloorSemiring", "SzemerediRegularity.initialBound._proof_2", "Nat.instMonoid", "Real.instDivInvMonoid", "Real.semiring", "HDiv.hDiv", "...
true
CategoryTheory.eq_of_comp_left_eq'
Mathlib.CategoryTheory.Category.Basic
[ "Eq.mpr", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.CategoryStruct.comp", "Eq.refl", "CategoryTheory.Category.toCategoryStruct", "congr_fun", "Eq", "CategoryTheory.Category", "CategoryTheory.eq_of_comp_left_eq" ]
true
_private.Mathlib.Analysis.LocallyConvex.WithSeminorms.0.WithSeminorms.isVonNBounded_iff_seminorm_bddAbove._simp_1_1
Mathlib.Analysis.LocallyConvex.WithSeminorms
[ "Preorder.toLE", "Membership.mem", "Exists", "LE.le", "BddAbove", "propext", "bddAbove_def", "Eq", "Set.instMembership", "Preorder", "Set" ]
false
Pi.uniformSpace_comap_restrict
Mathlib.Topology.UniformSpace.Pi
[ "Pi.uniformSpace", "UniformSpace", "iInf", "Iff.of_eq", "congrArg", "Pi.uniformSpace_comap_precomp'", "Membership.mem", "Set.Elem", "Subtype", "Function.eval", "CompleteLattice.toCompleteSemilatticeInf", "funext", "instCompleteLatticeUniformSpace", "iInf_congr_Prop", "True", "eq_self",...
true
Circle.instCommGroup._proof_21
Mathlib.Analysis.Complex.Circle
[ "Metric.unitSphere.instGroup._proof_4", "Circle.instCommGroup._aux_17", "Complex.instNormedField", "Int", "NormedField.toNormedDivisionRing", "Nat.cast", "autoParam", "Inv.inv", "Inv.mk", "Circle.instCommGroup._aux_12", "Nat", "Circle", "instNatCastInt", "Int.negSucc", "Complex", "DivI...
false
CategoryTheory.MorphismProperty.HasRightCalculusOfFractions
Mathlib.CategoryTheory.Localization.CalculusOfFractions
[ "CategoryTheory.MorphismProperty", "CategoryTheory.MorphismProperty.HasRightCalculusOfFractions.mk", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Category" ]
true
Finset.Pi.cons_injective
Mathlib.Data.Finset.Pi
[ "Eq.mpr", "_private.Mathlib.Data.Finset.Pi.0.Finset.Pi.cons_injective._simp_1_1", "congrArg", "_private.Mathlib.Data.Finset.Pi.0.Finset.Pi.cons_injective._simp_1_2", "Finset", "Membership.mem", "Multiset", "Eq.mp", "Multiset.cons", "id", "Insert.insert", "Finset.val", "Finset.instInsert", ...
true
_private.Init.Data.List.SplitOn.Basic.0.List.splitOnPTR.go._f
Init.Data.List.SplitOn.Basic
[ "cond", "Array.push", "Array.toList", "List.toArray", "List.cons", "Array", "List", "Bool", "List.below", "Array.toListAppend", "_private.Init.Data.List.SplitOn.Basic.0.List.splitOnPTR.go.match_1", "List.nil" ]
false
_private.Lean.Elab.DocString.Builtin.Parsing.0.Lean.Doc.parseQuotedStrLit.repositionSyntax
Lean.Elab.DocString.Builtin.Parsing
[ "Lean.Syntax.node", "Array.map_unattach.match_1", "_private.Lean.Elab.DocString.Builtin.Parsing.0.Lean.Doc.parseQuotedStrLit.repositionSyntax._proof_1", "Lean.Syntax.ident", "Lean.Syntax.missing", "_private.Lean.Elab.DocString.Builtin.Parsing.0.Lean.Doc.parseQuotedStrLit.repositionSyntax.match_1", "Stri...
true
Aesop.Frontend.Feature.priority
Aesop.Frontend.RuleExpr
[ "Aesop.Frontend.Feature.priority", "Aesop.Frontend.Feature", "Aesop.Frontend.Priority" ]
true
_private.Mathlib.Combinatorics.SimpleGraph.Copy.0.SimpleGraph.killCopies_eq_left._simp_1_7
Mathlib.Combinatorics.SimpleGraph.Copy
[ "Nonempty.forall", "Nonempty.intro", "propext", "Nonempty", "Eq" ]
false
Function.Periodic.differentiable_qParam
Mathlib.Analysis.Complex.Periodic
[ "Differentiable", "NormedCommRing.toNormedRing", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "Real", "Function.Periodic.qParam", "instHDiv", "Semiring.toModule", "Real.pi", "HMul.hMul", "Complex.instNormedAddCommGroup", "Differentiable.cexp", "NormedSpace.toModu...
true
Lean.Expr.NumApps.State.rec
Lean.Util.NumApps
[ "Lean.NameMap", "Lean.PtrSet", "Lean.Expr", "Lean.Expr.NumApps.State.mk", "Lean.Expr.NumApps.State", "Nat" ]
false
_private.Mathlib.AlgebraicGeometry.Limits.0.AlgebraicGeometry.IsAffineOpen.iSup_of_disjoint_aux
Mathlib.AlgebraicGeometry.Limits
[ "AlgebraicGeometry.PresheafedSpace.Hom", "Set.ext", "Eq.mpr", "Sigma.exists._simp_1", "TopologicalSpace.Opens.coe_iSup", "SetLike.mem_coe._simp_1", "_private.Mathlib.AlgebraicGeometry.Limits.0.AlgebraicGeometry.IsAffineOpen.iSup_of_disjoint_aux._simp_1_2", "AlgebraicGeometry.instIsAffineSigmaObjScheme...
true
Lean.Elab.Tactic.Do.ProofMode.mCasesExists
Lean.Elab.Tactic.Do.ProofMode.Cases
[ "Pure.pure", "Lean.TSyntax", "Lean.MessageData", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "_private.Lean.Elab.Tactic.Do.ProofMode.Cases.0.Lean.Elab.Tactic.Do.ProofMode.getQH", "Lean.Elab.Tactic.Do.ProofMode.MGoal.mk", "Lean.Meta.instMonadLCtxMetaM", "ReaderT", "instMonadContro...
true
_private.Mathlib.Data.List.Intervals.0.List.Ico.inter_consecutive._simp_1_2
Mathlib.Data.List.Intervals
[ "And", "propext", "not_and", "Eq", "Not" ]
false
Lean.Elab.Term.withMacroExpansion
Lean.Elab.Term.TermElabM
[ "controlAt", "Lean.Meta.instMonadLCtxMetaM", "Lean.Elab.Term.instMonadTermElabM", "Lean.Meta.State", "Lean.Syntax", "Lean.Meta.MetaM", "IO.RealWorld", "instMonadFinallyStateRefT'", "EIO", "ReaderT.instMonadLift", "Lean.Elab.withMacroExpansionInfo", "Lean.instMonadLCtxOfMonadLift", "Lean.Elab...
true
Function.Embedding.sigmaSet._proof_1
Mathlib.Logic.Embedding.Set
[ "Iff.mpr", "Function.onFun", "PartialOrder.toPreorder", "Subtype.casesOn", "Preorder.toLE", "Disjoint", "Membership.mem", "Exists", "SemilatticeInf.toPartialOrder", "Set.Elem", "DistribLattice.toLattice", "BiheytingAlgebra.toHeytingAlgebra", "Sigma.fst", "BiheytingAlgebra.toCoheytingAlgebr...
false
_private.Mathlib.LinearAlgebra.Reflection.0.Module.reflection_mul_reflection_pow_apply._proof_1_2
Mathlib.LinearAlgebra.Reflection
[ "Int.Linear.eq_of_core", "Lean.RArray.leaf", "Int.instDiv", "False", "Int.Nonneg.toPoly", "instHDiv", "HMul.hMul", "Int.Linear.norm_le", "Lean.Grind.not_or", "Int.Linear.eq_norm", "Classical.byContradiction", "Eq.mp", "Lean.RArray.branch", "Int.Linear.le_of_le_diseq", "Int.Linear.Expr.ad...
false
SSet.quasicategory_of_hasLiftingProperty
Mathlib.AlgebraicTopology.Quasicategory.Basic
[ "CategoryTheory.HasLiftingProperty", "SSet.Subcomplex.toSSet", "CategoryTheory.Limits.IsTerminal.from", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "SSet.Quasicategory", "CategoryTheory.Limits.IsTerminal", "CategoryTheory.sq_hasLift_of_hasLiftingProperty", "Ca...
true
IsClub.casesOn
Mathlib.SetTheory.Cardinal.Cofinality.Club
[ "IsClub.mk", "IsClub.rec", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "DirSupClosed", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "IsClub", "IsCofinal", "instDistribLatticeOfLinearOrder", "Lattice.toSemilatticeInf", "Set" ]
false
Configuration.ProjectivePlane.lineCount_eq
Mathlib.Combinatorics.Configuration
[ "Iff.mpr", "Configuration.ProjectivePlane.order.eq_1", "Eq.mpr", "Configuration.ProjectivePlane.lineCount_eq_lineCount", "congrArg", "Subtype.finite", "Finite", "HSub.hSub", "Configuration.lineCount", "Membership.mem", "Exists", "Fintype.card", "id", "Subtype", "Nat.card", "instSubNat"...
true
_private.Lean.Meta.ExprLens.0.Lean.Core.viewBindersCoord.match_1
Lean.Meta.ExprLens
[ "Lean.Expr.letE", "Lean.Expr", "Nat.hasNotBit", "instOfNatNat", "dite", "Lean.Expr.forallE", "_private.Lean.Meta.ExprLens.0.Lean.Core.viewBindersCoord._sparseCasesOn_2", "Lean.Expr.lam", "Nat", "Eq.ndrec_symm", "Bool", "Lean.Name", "instDecidableEqNat", "Lean.BinderInfo", "Lean.Expr.ctor...
false
BoundedVariationOn.stieltjesFunctionRightLim.congr_simp
Mathlib.MeasureTheory.VectorMeasure.BoundedVariation
[ "OrderTopology", "CompleteSpace", "NormedAddCommGroup.toMetricSpace", "LinearOrder", "Set.univ", "PartialOrder.toPreorder", "PseudoMetricSpace.toUniformSpace", "SemilatticeInf.toPartialOrder", "Eq.rec", "DistribLattice.toLattice", "EMetricSpace.toPseudoEMetricSpace", "TopologicalSpace", "Sem...
true
PresheafOfModules.limitPresheafOfModules_obj
Mathlib.Algebra.Category.ModuleCat.Presheaf.Limits
[ "PresheafOfModules.evaluation", "CategoryTheory.Functor", "Opposite", "ModuleCat", "AddCommGroup.toAddCommMonoid", "LinearMap.instFunLike", "CategoryTheory.Functor.comp", "PresheafOfModules.instCategory", "Set.Elem", "PresheafOfModules.limitPresheafOfModules", "ModuleCat.instConcreteCategoryLine...
true
Batteries.AssocList.all._f
Batteries.Data.AssocList
[ "Batteries.AssocList.toList.match_1", "Batteries.AssocList.below", "Bool.and", "Batteries.AssocList", "Bool.true", "Unit", "Batteries.AssocList.cons", "Bool", "Batteries.AssocList.nil" ]
false
SSet.Truncated.StrictSegal.spine_δ_arrow_lt
Mathlib.AlgebraicTopology.SimplicialSet.StrictSegal
[ "Eq.mpr", "CategoryTheory.op_comp", "CategoryTheory.ObjectProperty.FullSubcategory.mk", "SSet.Truncated.StrictSegal", "Opposite", "SimplexCategory.Truncated.Hom.tr_comp", "Quiver.opposite", "SimplexCategory.Truncated.Hom.tr", "SSet.Truncated.Path.arrow", "SSet.Truncated.spine", "CategoryTheory.C...
true
Subalgebra.instCommRingSubtypeMemCenter._proof_10
Mathlib.Algebra.Algebra.Subalgebra.Basic
[ "Subalgebra.instSetLike", "Subring.instSetLike", "Ring.toNonAssocRing", "Subalgebra.center", "Subring.center", "Neg.mk", "Subalgebra.instCommRingSubtypeMemCenter._aux_6", "Algebra", "Membership.mem", "Subtype", "Int", "Nat.cast", "autoParam", "CommSemiring", "SubringClass.toRing._proof_4...
false
Aesop.UnfoldRule.mk
Aesop.Rule
[ "Aesop.UnfoldRule", "Aesop.UnfoldRule.mk", "Lean.Name", "Option" ]
true
intervalIntegral.FTCFilter.nhdsUniv
Mathlib.MeasureTheory.Integral.IntervalIntegral.FundThmCalculus
[ "Eq.mpr", "Real", "nhdsWithin_univ", "congrArg", "Set.univ", "nhdsWithin", "PseudoMetricSpace.toUniformSpace", "nhds", "inferInstance", "id", "intervalIntegral.FTCFilter", "intervalIntegral.FTCFilter.nhds", "Real.pseudoMetricSpace", "UniformSpace.toTopologicalSpace", "Eq", "Filter" ]
true
AddCircle.haarAddCircle._proof_2
Mathlib.Analysis.Fourier.AddCircle
[ "Real", "AddCommMagma.to_isCommutative", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "QuotientAddGroup.Quotient.addGroup", "QuotientAddGroup.instIsTopologicalAddGroup", "Real.instAddCommGroup", "Real.instAddCommSemigroup", "AddSubgroup", "HasQuotient.Quotient", "QuotientAddGro...
false
_private.Batteries.Data.List.Count.0.List.idxToSigmaCount_sigmaCountToIdx._proof_1_65
Batteries.Data.List.Count
[ "List.sigmaCountToIdx", "Lean.Grind.CommRing.le_norm_expr", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "GetElem", "HMul.hMul", "Lean.Grind.CommRing.Expr.mul", "Int.Linear.norm_le", "Lean.Grind.nestedProof", "Lean.Grind.CommRing.Expr.var", "Lean.Grind.ToInt.toInt", "congrArg", "Lean...
false
CategoryTheory.Adjunction.rightAdjointLaxMonoidal
Mathlib.CategoryTheory.Monoidal.Functor
[ "CategoryTheory.Adjunction.rightAdjointLaxMonoidal._proof_7", "CategoryTheory.Functor", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.Adjunction.rightAdjointLaxMonoidal._proof_1", "CategoryTheory.Functor.comp", "Cate...
true
Lean.Elab.Tactic.MkSimpContextResult.ctorIdx
Lean.Elab.Tactic.Simp
[ "Lean.Elab.Tactic.MkSimpContextResult", "Nat" ]
false
Valuation.IsRankOneDiscrete.generator_ne_zero
Mathlib.RingTheory.Valuation.Discrete.Basic
[ "Units.val", "GroupWithZero.toMonoidWithZero", "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "False", "congrArg", "Ne", "Valuation.IsRankOneDiscrete", "LinearOrderedCommGroupWithZero", "Units.ne_zero._simp_1", "LinearOrderedCommGroupWithZero.toCommGroupWithZero", "MonoidWit...
true
CategoryTheory.MorphismProperty.RightFraction₂.mk.sizeOf_spec
Mathlib.CategoryTheory.Localization.CalculusOfFractions.Fractions
[ "CategoryTheory.MorphismProperty", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MorphismProperty.RightFraction₂._sizeOf_inst", "instSizeOfDefault", "instOfNatNat", "CategoryTheory.MorphismProperty.RightFraction₂.mk", "instHAdd", "HAdd.hAdd", "CategoryTheory.MorphismPrope...
true
Lean.Widget.MsgToInteractive.mk.noConfusion
Lean.Server.FileWorker.WidgetRequests
[ "Lean.MessageData", "Lean.Widget.MsgToInteractive.mk", "Lean.Server.WithRpcRef", "id", "Lean.Widget.MsgToInteractive.noConfusion", "Lean.Widget.MsgToInteractive", "Nat", "Eq" ]
false
Equiv.sigmaEquivOptionOfInhabited.match_1
Mathlib.Logic.Equiv.Sum
[ "Unit.unit", "Inhabited.default", "Option.casesOn", "Subtype.casesOn", "Option.some", "Subtype", "Ne", "Subtype.mk", "Option.none", "Unit", "Inhabited", "Option" ]
false
AlgebraicTopology.DoldKan.Compatibility.equivalence₁CounitIso_hom_app
Mathlib.AlgebraicTopology.DoldKan.Compatibility
[ "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Equivalence", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.id", "CategoryTheory.CategoryStruct.id", "Categor...
true
_private.Init.Data.BitVec.Lemmas.0.BitVec.le_intMin_of_msb_eq_false.match_1_1
Init.Data.BitVec.Lemmas
[ "BitVec", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "Bool", "instAddNat", "Nat.zero", "BitVec.msb", "OfNat.ofNat", "Bool.false", "Nat.succ", "Eq", "Nat.casesOn" ]
false
MvFunctor._aux_Mathlib_Data_TypeVec___unexpand_TypeVec_Arrow_1
Mathlib.Data.TypeVec
[ "Pure.pure", "cond", "Lean.TSyntax", "Unit.unit", "Lean.MonadRef.mkInfoFromRefPos", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "Lean.PrettyPrinter.UnexpandM", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Syntax.atom", "Lean.TSyntax.mk", "Lean.Syntax", ...
false
SimplexCategory.Truncated.δ₂_zero_eq_const
Mathlib.AlgebraicTopology.SimplexCategory.Truncated
[ "CategoryTheory.ObjectProperty.FullSubcategory.mk", "of_decide_eq_true", "SimplexCategory.Truncated.Hom.tr", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "SimplexCategory.Truncated.δ₂_zero_comp_σ₂_one._proof_3", "SimplexCategory.Truncated.δ₂", "SimplexCategory.Truncated.δ₂_zero_comp_σ₂_one....
true
Finset.map_add_right_Ico
Mathlib.Algebra.Order.Interval.Finset.Basic
[ "Eq.mpr", "Finset.coe_Ico", "congrArg", "Finset", "IsCancelAdd.toIsLeftCancelAdd", "PartialOrder.toPreorder", "instIsRightCancelAddOfAddRightReflectLE", "Preorder.toLE", "Finset.map", "Finset.coe_inj", "PartialOrder", "id", "Finset.Ico", "AddCommMonoid", "Function.Embedding", "Set.Ico"...
true
CategoryTheory.Subfunctor.ofSection_le_iff
Mathlib.CategoryTheory.Subfunctor.OfSection
[ "CategoryTheory.Functor", "Opposite", "Quiver.opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "PartialOrder.toPreorder", "TypeCat.instFunLikeFun", "Preorder.toLE", "Membership.mem", "CategoryTheory.Subfunctor.obj", "CategoryTheory.Subfu...
true
_private.Mathlib.FieldTheory.AlgebraicClosure.0.map_mem_algebraicClosure_iff._simp_1_2
Mathlib.FieldTheory.AlgebraicClosure
[ "Nontrivial", "CommRing", "minpoly.ne_zero_iff", "CommSemiring.toSemiring", "Algebra", "Ne", "minpoly", "Polynomial", "CommRing.toCommSemiring", "IsIntegral", "propext", "Zero.toOfNat0", "Polynomial.instZero", "OfNat.ofNat", "Eq.symm", "Ring.toSemiring", "Eq", "Ring" ]
false
Std.DHashMap.Const.getD_insertIfNew
Std.Data.DHashMap.Lemmas
[ "Eq.mpr", "instDecidableNot", "congrArg", "Std.DHashMap.Raw", "Membership.mem", "id", "Std.DHashMap.instMembership", "Std.DHashMap.wf", "instDecidableEqBool", "instOfNatNat", "LawfulHashable", "Subtype.mk", "Bool.true", "Std.DHashMap.Const.getD", "Std.DHashMap.contains", "And", "BEq....
true
_private.Init.Data.List.Sublist.0.List.filterMap_subset._simp_1_1
Init.Data.List.Sublist
[ "Option.some", "Membership.mem", "Exists", "List.mem_filterMap", "List", "And", "List.instMembership", "propext", "List.filterMap", "Eq", "Option" ]
false
Lean.Elab.ContextInfo.runMetaM
Lean.Elab.InfoTree.Main
[ "Lean.MessageData", "Inhabited.default", "Array.mkEmpty", "Lean.Meta.State.mk", "Lean.Meta.instBEqInfoCacheKey", "Lean.Meta.instHashableDefEqCacheKey", "Lean.PersistentArrayNode.node", "Monad.toApplicative", "Lean.Expr.instBEq", "Lean.Meta.instBEqDefEqCacheKey", "Lean.Meta.State", "Lean.Meta.I...
true
Finset.Int.finsetGcd_nonneg
Mathlib.Algebra.GCDMonoid.Finset
[ "Int.gcd", "Eq.mpr", "_private.Mathlib.Algebra.GCDMonoid.Finset.0.Finset.Int.finsetGcd_nonneg._proof_1_1", "instReflLe", "Finset.cons", "congrArg", "Finset", "PartialOrder.toPreorder", "Finset.gcd_cons", "Std.le_refl._simp_1", "CommSemiring.toCommMonoidWithZero", "Membership.mem", "Semilatti...
true
Primcodable.sum._proof_2
Mathlib.Computability.Primrec.Basic
[ "cond", "HMul.hMul", "Encodable.decodeSum.match_1", "Primcodable.ofDenumerable", "Encodable.decodeSum", "Option.casesOn", "Option.some", "Sum", "Option.encodable", "id", "Nat.div2", "Prod.mk", "instMulNat", "instOfNatNat", "Sum.inl", "Bool.true", "Option.none", "instHAdd", "Optio...
false
Submodule.quotEquivOfEqBot_apply_mk
Mathlib.LinearAlgebra.Quotient.Basic
[ "Submodule", "Submodule.Quotient.addCommMonoid", "AddCommGroup.toAddCommMonoid", "Submodule.Quotient.mk", "Submodule.hasQuotient", "AddCommGroup", "Submodule.quotEquivOfEqBot", "Bot.bot", "Submodule.Quotient.module", "Submodule.instBot", "HasQuotient.Quotient", "RingHomInvPair.ids", "LinearE...
true
Submonoid.mrange_snd
Mathlib.Algebra.Group.Submonoid.Operations
[ "MonoidHom.instMonoidHomClass", "MulOne.toOne", "MonoidHom.instFunLike", "MonoidHom", "Prod.instMulOneClass", "Nonempty.intro", "Submonoid.instTop", "MulOneClass.toMulOne", "MonoidHom.mrange", "MonoidHom.mrange_eq_top_of_surjective", "One.toOfNat1", "Prod.snd_surjective", "MulOneClass", "P...
true
Std.DHashMap.Internal.Raw₀.insertMany_list_singleton
Std.Data.DHashMap.Internal.RawLemmas
[ "Pure.pure", "congrArg", "instForInOfForIn'", "Monad.toApplicative", "inferInstance", "Subtype", "ForIn.forIn", "Sigma.fst", "Id.run", "Id", "Applicative.toPure", "Membership", "ForInStep", "bind_pure", "List.cons", "Subtype.mk", "List", "Std.DHashMap.Internal.Raw₀.insert", "List...
true
Matroid.IsBasis.isBase_of_spanning
Mathlib.Combinatorics.Matroid.Closure
[ "Eq.mpr", "congrArg", "Matroid.IsBasis.spanning_iff_spanning", "Matroid.Indep.isBase_of_spanning", "Matroid.IsBase", "id", "Matroid.Spanning", "propext", "Matroid.IsBasis.indep", "Matroid.IsBasis", "Eq", "Matroid", "Set" ]
true
Prod.instCoalgebra._proof_7
Mathlib.RingTheory.Coalgebra.Basic
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Coalgebra.toCoalgebraStruct", "Prod.counit_comp_inr", "Semiring.toModule", "LinearMap.inl", "Coalgebra", "LinearMap.rTensor_comp_map", "congrArg", "CommSemiring.toSemiring", "TensorProduct.addCommMonoid", "LinearMap.comp_assoc", "LinearMa...
false
LocallyConstant.coe_inj._simp_1
Mathlib.Topology.LocallyConstant.Basic
[ "LocallyConstant", "TopologicalSpace", "LocallyConstant.coe_inj", "propext", "LocallyConstant.instFunLike", "Eq", "DFunLike.coe" ]
false
_private.Init.Data.Int.DivMod.Lemmas.0.Int.ediv_mul_of_nonneg._proof_1_1
Init.Data.Int.DivMod.Lemmas
[ "Int.instDiv", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "instHDiv", "HMul.hMul", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some", "Lean.Omega.L...
false
AlgebraicGeometry.IsAffineOpen.arrowStalkMapIso._proof_8
Mathlib.AlgebraicGeometry.AffineScheme
[ "Eq.mpr", "CategoryTheory.Iso.comp_inv_eq", "IsLocalization.ringEquivOfRingEquiv._proof_10", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "RingEquiv.refl", "CommRingCat.hom_ext", "AlgebraicGeometry.IsAffineOpen.arrowStalkMapIso._proof_6", "IsLocali...
false
Lean.Lsp.CodeActionClientCapabilities.dataSupport?._default
Lean.Data.Lsp.CodeActions
[ "Option.some", "id", "Bool", "Bool.false", "Option" ]
false
_private.Mathlib.Algebra.Homology.BifunctorAssociator.0.HomologicalComplex.instHasMapProdObjGradedObjectFunctorMapBifunctorMapBifunctorMapObjπX._proof_1
Mathlib.Algebra.Homology.BifunctorAssociator
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Functor", "CategoryTheory.GradedObject.HasMap", "CategoryTheory.GradedObject.mapBifunctorMapObj", "HomologicalComplex.instHasMapProdObjGradedObjectFunctorMapBifunctorXπ", "CategoryTheory.Functor.Additive", "CategoryTheory.Functor.category", "Ca...
false
SimpleGraph.Subgraph.sup_adj
Mathlib.Combinatorics.SimpleGraph.Subgraph
[ "SimpleGraph.Subgraph", "Iff.rfl", "SimpleGraph.Subgraph.instMax", "SimpleGraph", "Iff", "Max.max", "Or", "SimpleGraph.Subgraph.Adj" ]
true
_private.Mathlib.Analysis.LocallyConvex.WeakDual.0.LinearMap.mem_span_iff_continuous._simp_1_1
Mathlib.Analysis.LocallyConvex.WeakDual
[ "Submodule", "Algebra.to_smulCommClass", "iInf", "Continuous", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "CommRing.toNonUnitalCommRing", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Finite", "LinearMap.instFunLike", "Membership.mem", "CompleteLattic...
false
CategoryTheory.ObjectProperty.LimitOfShape.ofIso
Mathlib.CategoryTheory.ObjectProperty.LimitsOfShape
[ "CategoryTheory.ObjectProperty.LimitOfShape.prop_diag_obj", "CategoryTheory.Limits.LimitPresentation", "CategoryTheory.ObjectProperty.LimitOfShape", "CategoryTheory.Iso", "CategoryTheory.ObjectProperty.LimitOfShape.toLimitPresentation", "CategoryTheory.ObjectProperty.LimitOfShape.mk", "CategoryTheory.Ca...
true
Std.TreeMap.Equiv.getEntryGED_eq
Std.Data.TreeMap.Lemmas
[ "Std.TreeMap.Equiv", "Std.TreeMap.Equiv.inner", "Std.TreeMap.inner", "Ordering", "Std.TransCmp", "Std.TreeMap.getEntryGED", "Std.DTreeMap.Equiv.constGetEntryGED_eq", "Prod", "Eq", "Std.TreeMap" ]
true
CategoryTheory.Comma.mapLeftComp
Mathlib.CategoryTheory.Comma.Basic
[ "CategoryTheory.Comma.mapLeftComp._proof_2", "CategoryTheory.Functor", "CategoryTheory.Comma.right", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Comma.left", "CategoryTheory.Functor.comp", "CategoryTheory.Comma.isoMk", "CategoryTheory....
true
CategoryTheory.GrothendieckTopology.pullbackComp
Mathlib.CategoryTheory.Sites.Grothendieck
[ "CategoryTheory.GrothendieckTopology.pullbackComp._proof_1", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.GrothendieckTopology.Cover.pullbackComp", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.GrothendieckTopolog...
true
Multiset.Rel.trans
Mathlib.Data.Multiset.ZeroCons
[ "Eq.mpr", "trans", "congrArg", "Multiset.rel_cons_left", "Exists", "Multiset", "Multiset.cons", "id", "Multiset.induction_on", "IsTrans", "Multiset.Rel.cons", "And.casesOn", "And", "Multiset.Rel", "Exists.casesOn", "propext", "Iff.mp", "Eq.ndrec", "Zero.toOfNat0", "Eq.refl", ...
true
Equiv.Perm.cycleFactorsFinset_eq_singleton_self_iff._simp_1
Mathlib.GroupTheory.Perm.Cycle.Factors
[ "Finset", "Equiv.Perm.cycleFactorsFinset_eq_singleton_self_iff", "Equiv.Perm.cycleFactorsFinset", "Fintype", "Equiv.Perm", "Equiv.Perm.IsCycle", "propext", "Finset.instSingleton", "Singleton.singleton", "Eq", "DecidableEq" ]
false
_private.Lean.Meta.Tactic.FunInd.0.Lean.Tactic.FunInd.deriveInductionStructural.match_9
Lean.Meta.Tactic.FunInd
[ "Unit.unit", "Subarray", "Option.casesOn", "Option.some", "Prod.mk", "Option.none", "Unit", "Lean.Elab.Structural.RecArgInfo", "Prod", "Prod.casesOn", "Option" ]
false
List.replicate_sublist_replicate._simp_1
Init.Data.List.Sublist
[ "List.replicate", "LE.le", "instLENat", "Nat", "propext", "List.replicate_sublist_replicate", "List.Sublist", "Eq" ]
false
_private.Mathlib.Data.Multiset.Fintype.0.Multiset.map_fst_le_of_subset_toEnumFinset._simp_1_4
Mathlib.Data.Multiset.Fintype
[ "not_le", "Preorder.toLT", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "LE.le", "LT.lt", "propext", "LinearOrder.toPartialOrder", "Eq", "Not" ]
false
CategoryTheory.Limits.WalkingParallelFamily.Hom.ctorElimType
Mathlib.CategoryTheory.Limits.Shapes.WideEqualizers
[ "cond", "CategoryTheory.Limits.WalkingParallelFamily.one", "Nat.ble", "CategoryTheory.Limits.WalkingParallelFamily", "CategoryTheory.Limits.WalkingParallelFamily.Hom.line", "CategoryTheory.Limits.WalkingParallelFamily.Hom.id", "CategoryTheory.Limits.WalkingParallelFamily.Hom", "CategoryTheory.Limits.W...
false
Lean.Doc.DocHighlight.option.noConfusion
Lean.Elab.DocString.Builtin
[ "Lean.Doc.DocHighlight", "Lean.Doc.DocHighlight.noConfusion", "id", "Lean.Name", "Lean.Doc.DocHighlight.option", "Eq" ]
false
Std.Tactic.BVDecide.BVExpr.bitblast.TwoPowShiftTarget.mk
Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.ShiftRight
[ "Std.Tactic.BVDecide.BVExpr.bitblast.TwoPowShiftTarget", "Std.Sat.AIG", "Nat", "Hashable", "Std.Sat.AIG.RefVec", "Std.Tactic.BVDecide.BVExpr.bitblast.TwoPowShiftTarget.mk", "DecidableEq" ]
true
MeasureTheory.FiniteMeasure.eq_of_forall_apply_eq
Mathlib.MeasureTheory.Measure.FiniteMeasure
[ "MeasureTheory.FiniteMeasure", "ENNReal.ofNNReal", "MeasureTheory.Measure", "MeasurableSet", "congrArg", "MeasureTheory.FiniteMeasure.eq_of_forall_toMeasure_apply_eq", "Eq.mp", "NNReal", "MeasureTheory.FiniteMeasure.ennreal_coeFn_eq_coeFn_toMeasure", "MeasureTheory.FiniteMeasure.instFunLike", "c...
true
NumberField.InfinitePlace.orbitRelEquiv._proof_2
Mathlib.NumberTheory.NumberField.InfinitePlace.Ramification
[ "Iff.mpr", "IsGalois.to_normal", "Algebra.algebraMap", "NumberField.InfinitePlace.comap", "Quot.ind", "Algebra", "Membership.mem", "Exists", "IsGalois", "DivInvMonoid.toMonoid", "MulAction.orbitRel", "Field.toSemifield", "Quotient.mk", "Group.toDivInvMonoid", "MulAction.orbit", "And", ...
false
Fin.castLE.eq_1
Mathlib.Data.Fin.Tuple.Take
[ "Fin.castLE", "Fin.mk", "Fin.castLE._proof_1", "LE.le", "instLENat", "Fin.val", "Nat", "Eq.refl", "Fin", "Eq" ]
true
Dilation.edist_eq'
Mathlib.Topology.MetricSpace.Dilation
[ "PseudoEMetricSpace.toWeakPseudoEMetricSpace", "ENNReal.ofNNReal", "HMul.hMul", "CommSemiring.toSemiring", "Exists", "NNReal", "Ne", "ENNReal.instCommSemiring", "PseudoEMetricSpace", "Dilation.toFun", "NNReal.instZero", "instDistribOfSemiring", "And", "Distrib.toMul", "WeakPseudoEMetricS...
true
instHashableFin
Init.Data.Hashable
[ "Fin.val", "Hashable.mk", "Nat", "Nat.toUInt64", "Hashable", "Fin" ]
true
ArithmeticFunction.one_smul'
Mathlib.NumberTheory.ArithmeticFunction.Defs
[ "Finset.singleton_subset_iff._simp_1", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "False", "ArithmeticFunction.ext", "instHSMul", "HMul.hMul", "Nat.divisorsAntidiagonal", "ArithmeticFunction.instFunLikeNat", "eq_false", "and_true", "congrArg", "and_self", "DistribMulAction.toDist...
true
DFinsupp.addZeroClass._proof_1
Mathlib.Data.DFinsupp.Defs
[ "AddZeroClass.toAddZero", "DFinsupp.instDFunLike", "AddZero.toZero", "AddZeroClass", "DFunLike.coe_injective", "DFinsupp", "Function.Injective", "DFunLike.coe" ]
false
_private.Mathlib.Computability.TuringMachine.ToPartrec.0.Turing.PartrecToTM2.trStmts₁_trans._simp_1_10
Mathlib.Computability.TuringMachine.ToPartrec
[ "Finset", "Membership.mem", "Insert.insert", "Finset.mem_insert", "Finset.instInsert", "Finset.instSetLike", "propext", "Or", "Eq", "SetLike.instMembership", "DecidableEq" ]
false
Option.getD_eq_iff
Init.Data.Option.Lemmas
[ "False", "Option.ctorIdx", "congrArg", "False.elim", "Option.casesOn", "Option.getD", "false_and", "noConfusion_of_Nat", "Option.some.injEq", "Option.some", "false_or", "iff_self", "Option.none", "And", "Iff", "congr", "True", "eq_self", "of_eq_true", "Eq.ndrec", "Eq.refl", ...
true
_private.Init.Data.Vector.OfFn.0.Vector.ofFnM_go_succ._proof_7
Init.Data.Vector.OfFn
[ "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'", "_private.Init.Data.Vector.OfFn.0.Vector.ofFnM_go_succ._auto_5", "Int.add_one_le_of_lt", "HSu...
false
Matrix.specialUnitaryGroup.coe_star
Mathlib.LinearAlgebra.UnitaryGroup
[ "Matrix.instStar", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Submonoid.mul", "CommRing.toNonUnitalCommRing", "CommSemiring.toSemiring", "Matrix", "Membership.mem", "Subtype", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "Matrix.specialUnitaryGroup", "StarAddMonoid.t...
true
Algebra.isAlgebraic_adjoin_iff
Mathlib.RingTheory.Algebraic.Integral
[ "IsDomain", "CommRing", "IsAlgebraic", "CommSemiring.toSemiring", "Algebra", "Algebra.adjoin", "Membership.mem", "CommRing.toCommSemiring", "Iff", "Subalgebra.IsAlgebraic", "Algebra.adjoin_le_iff", "CommRing.toRing", "Set.instMembership", "Subalgebra.algebraicClosure", "Set" ]
true
_private.Mathlib.GroupTheory.QuotientGroup.Defs.0.QuotientGroup.mk'_eq_mk'._simp_1_1
Mathlib.GroupTheory.QuotientGroup.Defs
[ "HMul.hMul", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "Group", "Group.toDivisionMonoid", "DivisionMonoid.toDivInvOneMonoid", "MulOne.toMul", "DivInvMonoid.toMonoid", "eq_inv_mul_iff_mul_eq", "Group.toDivInvMonoid", "MulOneClass.toMulOne", "Inv.inv", "propext", "InvOneClass....
false
PartitionOfUnity.mem_finsupport
Mathlib.Topology.PartitionOfUnity
[ "Real", "Real.instZero", "congrArg", "PartitionOfUnity", "Finset", "ContinuousMap", "setOf", "PseudoMetricSpace.toUniformSpace", "Set.Finite.toFinset.congr_simp", "Set.Finite", "_private.Mathlib.Topology.PartitionOfUnity.0.PartitionOfUnity.mem_finsupport._simp_1_3", "Membership.mem", "Ne", ...
true
WittVector.IsocrystalHom._sizeOf_inst
Mathlib.RingTheory.WittVector.Isocrystal
[ "WittVector.IsocrystalHom", "WittVector.Isocrystal", "PerfectRing", "CommRing", "Nat.Prime", "CommSemiring.toSemiring", "AddGroupWithOne.toAddMonoidWithOne", "Fact", "AddCommGroup", "Monoid.toPow", "CommRing.toCommSemiring", "SizeOf.mk", "Nat", "Semiring.toMonoid", "WittVector.Isocrystal...
false
Lean.Sym.decide_isFalse_congr
Init.Sym.Lemmas
[ "False", "eq_false", "congrArg", "Decidable.decide.congr_simp", "Decidable", "decide_false", "True", "eq_self", "instDecidableFalse", "Bool", "of_eq_true", "congrFun'", "Bool.false", "Decidable.decide", "Eq", "Not", "Eq.trans" ]
true
UInt64.ofFin_bitVecToFin
Init.Data.UInt.Lemmas
[ "UInt64", "UInt64.ofBitVec", "BitVec", "BitVec.toFin", "instOfNatNat", "Nat", "UInt64.ofFin", "OfNat.ofNat", "Eq", "rfl" ]
true
_private.Init.Grind.Ordered.Ring.0.Lean.Grind.OrderedRing.pos_intCast_of_pos._proof_1_1
Init.Grind.Ordered.Ring
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some", "id", "instDecida...
false
AlgebraicGeometry.IsAffineOpen.isLocalization_stalk
Mathlib.AlgebraicGeometry.AffineScheme
[ "Eq.mpr", "AlgebraicGeometry.Spec", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "Opposite", "CommRingCat.carrier", "AlgebraicGeometry.PresheafedSpace.carrier", "PrimeSpectrum.isPrime", "TopologicalSpace.Opens.instPartialOrder", "congrArg", "Ca...
true
List.lookmap_congr
Mathlib.Data.List.Lookmap
[ "List.brecOn", "Membership.mem", "List.lookmap", "List.lookmap_congr._f", "List", "List.instMembership", "Eq", "Option" ]
true
_aux_Mathlib_Analysis_Normed_Affine_Isometry___unexpand_AffineIsometryEquiv_1
Mathlib.Analysis.Normed.Affine.Isometry
[ "Pure.pure", "cond", "Lean.TSyntax", "Unit.unit", "Lean.MonadRef.mkInfoFromRefPos", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "Lean.PrettyPrinter.UnexpandM", "MonadExcept.throw", "Lean.Syntax.node5", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Syntax.atom", "Lean.TSyntax....
false
_private.Mathlib.RingTheory.Polynomial.Basic.0.Polynomial.coeff_prod_mem_ideal_pow_tsub._proof_1_3
Mathlib.RingTheory.Polynomial.Basic
[ "Submodule", "False", "Semiring.toModule", "IsScalarTower.right", "eq_false", "Lean.Grind.iff_eq", "CommSemiring.toSemiring", "Finset", "Classical.byContradiction", "Lean.Grind.eq_false_of_imp_eq_true", "HSub.hSub", "Classical.propDecidable", "Membership.mem", "Exists", "Eq.mp", "Algeb...
false