name
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2
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module
stringlengths
6
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deps
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allowCompletion
bool
2 classes
_private.Mathlib.Algebra.Homology.ExactSequenceFour.0.CategoryTheory.ComposableArrows.IsComplex.cokerToKer'._proof_9
Mathlib.Algebra.Homology.ExactSequenceFour
[ "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'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.ev...
false
Std.HashMap.Raw.getKeyD_insertMany_list_of_contains_eq_false
Std.Data.HashMap.RawLemmas
[ "Std.HashMap.Raw.WF.out", "instForInOfForIn'", "List.map", "List.contains", "inferInstance", "Std.HashMap.Raw.WF", "Id", "Membership", "LawfulHashable", "Prod.fst", "Std.HashMap.Raw", "Std.HashMap.Raw.getKeyD", "List", "EquivBEq", "List.instMembership", "Bool", "Std.HashMap.Raw.inner...
true
IsBaseChange.linearMapRightBaseChangeHom._proof_5
Mathlib.RingTheory.TensorProduct.IsBaseChangeHom
[ "CommSemiring.toSemiring", "IsBaseChange.linearMapRightBaseChangeHom._proof_1", "LinearMap.module", "LinearMap", "smulCommClass_self", "AddCommMonoid", "CommSemiring", "CommMonoid.toMonoid", "LinearMap.addCommMonoid", "CommSemiring.toCommMonoid", "Monoid.toSemigroup", "Module.toDistribMulActio...
false
RingNormClass.mk
Mathlib.Algebra.Order.Hom.Basic
[ "AddGroup.toSubtractionMonoid", "NonUnitalNonAssocRing", "RingNormClass.mk", "outParam", "AddMonoid.toAddZeroClass", "NonUnitalNonAssocRing.toAddCommGroup", "AddCommGroup.toAddGroup", "AddZeroClass.toAddZero", "PartialOrder", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroCla...
true
Rat.den_zero
Mathlib.Data.Rat.Defs
[ "Rat.instOfNat", "Rat", "Rat.den", "instOfNatNat", "Nat", "OfNat.ofNat", "Eq", "rfl" ]
true
_private.Mathlib.RingTheory.MvPowerSeries.Order.0.MvPowerSeries.IsWeightedHomogeneous.coeff_eq_zero._simp_1_1
Mathlib.RingTheory.MvPowerSeries.Order
[ "Classical.not_not", "propext", "Eq", "Not" ]
false
Nat.add_sub_of_le
Init.Data.Nat.Basic
[ "Eq.mpr", "Nat.recAux", "congrArg", "Nat.le_of_succ_le", "HSub.hSub", "id", "instSubNat", "Ne", "instOfNatNat", "LE.le", "instLENat", "Nat.succ_pred", "instHAdd", "instHSub", "Nat.sub_succ", "HAdd.hAdd", "Nat.add_succ", "Nat", "True", "eq_self", "Nat.sub_ne_zero_of_lt", "of...
true
RingHom.ker_isPrime
Mathlib.RingTheory.Ideal.Maps
[ "IsDomain", "Ideal.IsPrime", "_private.Mathlib.RingTheory.Ideal.Maps.0.RingHom.ker_isPrime._proof_1_1", "Semiring", "Semiring.toNonAssocSemiring", "FunLike", "RingHom.ker", "RingHomClass" ]
true
Std.Iterators.Types.Attach.mk.sizeOf_spec
Init.Data.Iterators.Combinators.Monadic.Attach
[ "instOfNatNat", "Std.IterM.IsPlausibleIndirectOutput", "Std.Iterator", "Std.Iterators.Types.Attach", "Std.Iterators.Types.Attach.mk", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "Std.IterM._sizeOf_inst", "Eq.refl", "Std.IterM", "SizeOf", "OfNat.ofNat", "Std.Iterators...
true
CategoryTheory.Triangulated.Localization.pretriangulated
Mathlib.CategoryTheory.Localization.Triangulated
[ "CategoryTheory.MorphismProperty.HasLeftCalculusOfFractions", "CategoryTheory.MorphismProperty", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.Additive", "CategoryTheory.shiftFunctor", "Membership.mem", "CategoryTheory.Triangulated.Localiza...
true
Lean.Lsp.PrepareRenameParams.noConfusion
Lean.Data.Lsp.LanguageFeatures
[ "Lean.Lsp.PrepareRenameParams.noConfusionType", "Lean.Lsp.PrepareRenameParams", "Lean.Lsp.TextDocumentPositionParams", "Eq.ndrec", "Lean.Lsp.PrepareRenameParams.casesOn", "Eq.refl", "Eq" ]
false
Continuous.matrix_updateCol
Mathlib.Topology.Instances.Matrix
[ "Continuous", "Function.update", "Equiv.instEquivLike", "Pi.topologicalSpace", "Matrix", "Matrix.of", "Continuous.comp", "continuous_matrix", "Function.comp", "Equiv", "Continuous.update", "TopologicalSpace", "continuous_apply", "instTopologicalSpaceMatrix", "DFunLike.coe", "Matrix.upd...
true
Ring.ofMinimalAxioms._proof_12
Mathlib.Algebra.Ring.MinimalAxioms
[ "One", "One.mk", "AddMonoid.toAddSemigroup", "Zero.zero", "Add.mk", "AddGroup.ofLeftAxioms", "Neg.mk", "AddMonoid.toZero", "Add.add", "Int", "Nat.cast", "One.one", "instHAdd", "Neg", "AddSemigroup.toAdd", "AddGroup.toSubNegMonoid", "HAdd.hAdd", "Nat", "NatCast.mk", "Int.castDef...
false
Aesop.Script.StepTree.recOn
Aesop.Script.UScriptToSScript
[ "Aesop.Script.StepTree", "Aesop.Script.StepTree.empty", "Aesop.Script.StepTree.node", "List.cons", "Array", "List", "Aesop.Script.StepTree.rec", "Nat", "Array.mk", "Aesop.Script.Step", "List.nil" ]
false
Std.TreeSet.Raw.instSliceableRccSlice._auto_1
Std.Data.TreeSet.Raw.Slice
[ "Lean.Syntax.node", "Lean.Syntax.ident", "Array.push", "String.toRawSubstring", "Lean.Syntax", "Array.empty", "Lean.Syntax.Preresolved", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom", "List.nil" ]
false
_private.Init.Data.List.Lex.0.List.lex_asymm.match_1_5
Init.Data.List.Lex
[ "False", "List.Lex.casesOn", "HEq.refl", "False.elim", "noConfusion_of_Nat", "List.Lex.nil", "List.Lex.rel", "List.cons", "List", "List.casesOn", "eq_of_heq", "Eq.ndrec", "Eq.refl", "HEq", "Eq.symm", "Eq", "List.ctorIdx", "List.cons.noConfusion", "List.Lex", "List.Lex.cons", ...
false
Mathlib.Tactic.BicategoryLike.Mor₁.toList._unsafe_rec
Mathlib.Tactic.CategoryTheory.Coherence.Datatypes
[ "_private.Mathlib.Tactic.CategoryTheory.Coherence.Datatypes.0.Mathlib.Tactic.BicategoryLike.Mor₁.e.match_1", "Lean.Expr", "Mathlib.Tactic.BicategoryLike.Obj", "List.cons", "Mathlib.Tactic.BicategoryLike.Atom₁", "Mathlib.Tactic.BicategoryLike.Mor₁", "instHAppendOfAppend", "List", "List.instAppend", ...
false
HomogeneousLocalization.Away.map
Mathlib.RingTheory.GradedAlgebra.HomogeneousLocalization
[ "HomogeneousLocalization.hasPow._proof_2", "SetLike", "CommRing", "GradedRingHom", "AddGroupWithOne.toAddGroup", "CommSemiring.toSemiring", "HomogeneousLocalization.homogeneousLocalizationCommRing", "RingHom", "HomogeneousLocalization.Away.map._proof_1", "AddSubgroupClass.toAddSubmonoidClass", "...
true
_private.Init.Data.String.Lemmas.Order.0.String.Slice.Pos.ofSliceTo_ne_endPos._simp_1_1
Init.Data.String.Lemmas.Order
[ "String.Slice.Pos.lt_endPos_iff", "String.Slice", "Ne", "String.Slice.endPos", "LT.lt", "String.instLTPos_1", "propext", "String.Slice.Pos", "Eq.symm", "Eq" ]
false
_private.Mathlib.Algebra.BigOperators.Group.Finset.Basic.0.Finset.sum_bij_ne_zero._proof_1_3
Mathlib.Algebra.BigOperators.Group.Finset.Basic
[ "instDecidableNot", "Finset", "AddMonoid.toAddZeroClass", "Classical.propDecidable", "Membership.mem", "AddZeroClass.toAddZero", "id", "AddCommMonoid", "AddZero.toZero", "And", "And.right", "Finset.instSetLike", "Iff.mp", "Zero.toOfNat0", "Finset.mem_filter", "AddCommMonoid.toAddMonoid...
false
CategoryTheory.Grothendieck.grothendieckTypeToCat_counitIso_hom_app_coe
Mathlib.CategoryTheory.Grothendieck
[ "CategoryTheory.Cat.category", "CategoryTheory.categoryOfElements", "CategoryTheory.Functor.Elements", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "TypeCat...
true
_private.Mathlib.Algebra.Homology.ModelCategory.Injective.0.CochainComplex.Plus.modelCategoryQuillen.instIsStableUnderRetractsCofibrations._proof_1
Mathlib.Algebra.Homology.ModelCategory.Injective
[ "CochainComplex.Plus._proof_1", "CategoryTheory.Abelian.toPreadditive", "HomologicalComplex.instCategory", "AddGroupWithOne.toAddMonoidWithOne", "AddRightCancelSemigroup.toAddSemigroup", "AddCancelMonoid.toAddRightCancelMonoid", "CategoryTheory.Abelian", "CategoryTheory.MorphismProperty.IsStableUnderR...
false
AddSubgroup.toSubgroup._proof_2
Mathlib.Algebra.Group.Subgroup.Lattice
[ "Multiplicative.group", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "Additive", "AddMonoid.toAddZeroClass", "Submonoid.toSubsemigroup", "PartialOrder.toPreorder", "Preorder.toLE", "Group.toDivisionMonoid", "Membership.mem", "DivisionMonoid.toDivInvOneMonoid", "Subgroup.mk", "Mul...
false
HasRankNullity.mk._flat_ctor
Mathlib.LinearAlgebra.Dimension.RankNullity
[ "Submodule", "Submodule.Quotient.addCommMonoid", "Cardinal", "AddCommGroup.toAddCommMonoid", "Submodule.addCommMonoid", "Submodule.hasQuotient", "Cardinal.mk", "Membership.mem", "Exists", "AddCommGroup", "Set.Elem", "id", "Subtype", "Submodule.module", "Submodule.Quotient.module", "Car...
false
Function.update_self
Mathlib.Logic.Function.Basic
[ "Function.update", "dif_pos", "Eq.ndrec", "Eq.symm", "Eq", "Not", "rfl", "DecidableEq" ]
true
_private.Mathlib.Analysis.Calculus.FDeriv.Measurable.0.RightDerivMeasurableAux.D_subset_differentiable_set._simp_1_4
Mathlib.Analysis.Calculus.FDeriv.Measurable
[ "Norm.norm", "Real.instLE", "Real", "HMul.hMul", "Real.instZero", "Filter.Eventually", "Real.instLT", "Norm", "LE.le", "Real.instMul", "LT.lt", "propext", "Zero.toOfNat0", "Asymptotics.IsLittleO", "Asymptotics.isLittleO_iff", "OfNat.ofNat", "Eq", "Filter", "instHMul" ]
false
_private.Lean.Elab.Deriving.FromToJson.0.Lean.Elab.Deriving.FromToJson.mkFromJsonBodyForInduct.match_1
Lean.Elab.Deriving.FromToJson
[ "Prod.mk", "Lean.Syntax.Term", "Lean.Syntax.StrLit", "Prod", "Prod.casesOn" ]
false
BitVec.shiftLeft_or_of_and_eq_zero
Init.Data.BitVec.Bitblast
[ "Eq.mpr", "instHOrOfOrOp", "BitVec.instAndOp", "congrArg", "BitVec.add_eq_or_of_and_eq_zero", "HShiftLeft.hShiftLeft", "BitVec.instAdd", "BitVec.instOrOp", "BitVec", "id", "BitVec.instHShiftLeftNat", "instOfNatNat", "BitVec.toNat", "BitVec.ofNat", "BitVec.shiftLeft_eq'", "HOr.hOr", "...
true
CategoryTheory.Projective.over
Mathlib.CategoryTheory.Preadditive.Projective.Basic
[ "CategoryTheory.ProjectivePresentation", "CategoryTheory.EnoughProjectives.presentation", "CategoryTheory.ProjectivePresentation.p", "Nonempty.some", "CategoryTheory.EnoughProjectives", "CategoryTheory.Category" ]
true
_private.Lean.Meta.LetToHave.0.Lean.Meta.LetToHave.State.count
Lean.Meta.LetToHave
[ "_private.Lean.Meta.LetToHave.0.Lean.Meta.LetToHave.State", "Nat" ]
true
FreeAlgebra.lift.eq_1
Mathlib.Algebra.FreeAlgebra
[ "FreeAlgebra.ι", "FreeAlgebra.instSemiring", "FreeAlgebra.instAlgebra", "AlgHom", "AlgHom.funLike", "Algebra", "FreeAlgebra.lift._proof_4", "Function.comp", "Equiv.mk", "Algebra.id", "id", "Equiv", "FreeAlgebra", "CommSemiring", "FreeAlgebra.lift._proof_1", "Semiring", "_private.Math...
true
AddGrpCat.limitAddGroup._proof_7
Mathlib.Algebra.Category.Grp.Limits
[ "CategoryTheory.Functor", "Equiv.instEquivLike", "CategoryTheory.Limits.Types.Small.limitCone", "Equiv.addGroup._proof_2", "AddGrpCat.instCategory", "Add.mk", "AddMonoid.toAddZeroClass", "CategoryTheory.Functor.comp", "Equiv.addGroup._proof_1", "AddZeroClass.toAddZero", "Set.Elem", "Equiv", ...
false
Std.DTreeMap.Internal.Impl.getEntryLT.eq_2
Std.Data.DTreeMap.Internal.Model
[ "Ordering.gt", "instDecidableEqOrdering", "Std.DTreeMap.Internal.Impl.Ordered.left", "Std.DTreeMap.Internal.Impl.getEntryLT", "Ord", "Std.TransOrd", "Std.DTreeMap.Internal.Impl.Ordered", "Membership.mem", "Exists", "Ordering", "Std.DTreeMap.Internal.Impl.getEntryLT._proof_5", "Std.DTreeMap.Int...
true
Std.Tactic.BVDecide.BVLogicalExpr.bitblast.go.match_5
Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Substructure
[ "Std.Tactic.BVDecide.BoolExpr.literal", "Std.Tactic.BVDecide.BoolExpr", "Std.Tactic.BVDecide.BoolExpr.ite", "Std.Tactic.BVDecide.BoolExpr.const", "Std.Tactic.BVDecide.BoolExpr.casesOn", "Bool", "Std.Tactic.BVDecide.Gate", "Std.Tactic.BVDecide.BVLogicalExpr", "Std.Tactic.BVDecide.BoolExpr.not", "St...
false
AddSemiconjBy.function_semiconj_add_right_swap
Mathlib.Algebra.Group.Commute.Basic
[ "AddSemiconjBy.eq", "AddSemiconjBy", "congrArg", "add_assoc", "AddSemigroup", "instHAdd", "AddSemigroup.toAdd", "HAdd.hAdd", "congr", "True", "eq_self", "of_eq_true", "Function.Semiconj", "Eq.symm", "Eq", "Eq.trans" ]
true
_private.Lean.Elab.DocString.Builtin.Parsing.0.Lean.Doc.parseQuotedStrLit.repositionInfo.match_1
Lean.Elab.DocString.Builtin.Parsing
[ "Unit.unit", "Lean.SourceInfo.original", "Lean.SourceInfo", "Lean.SourceInfo.synthetic", "String.Pos.Raw", "Substring.Raw", "Unit", "Bool", "Lean.SourceInfo.none", "Lean.SourceInfo.casesOn" ]
false
Std.DHashMap.Internal.Raw₀.insertListIfNewₘ.eq_def
Std.Data.DHashMap.Internal.Model
[ "List.brecOn", "Eq.mpr", "Std.DHashMap.Internal.Raw₀.insertListIfNewₘ", "List.brecOn.go", "List.brecOn.eq", "congrArg", "id", "Sigma.fst", "List.rec", "List.cons", "List", "Unit", "PProd", "Std.DHashMap.Internal.Raw₀.insertListIfNewₘ._f", "PUnit", "Eq.ndrec", "List.below", "Eq.refl...
true
List.decidableLex._proof_1
Init.Data.List.Basic
[ "False", "List.decidableLex.match_1", "List.Lex", "List.nil" ]
false
Std.HashMap.Raw.getElem!_inter
Std.Data.HashMap.RawLemmas
[ "Inhabited.default", "Std.HashMap.Raw.WF.out", "Membership.mem", "Std.HashMap.Raw.instDecidableMem", "Std.DHashMap.Raw.Const.get!_inter", "Std.HashMap.Raw.WF", "LawfulHashable", "Std.HashMap.Raw", "Inter.inter", "EquivBEq", "Std.HashMap.Raw.instGetElem?Mem", "Inhabited", "Std.HashMap.Raw.inn...
true
Ideal.quotEquivOfEq.congr_simp
Mathlib.RingTheory.Trace.Quotient
[ "Ideal.quotEquivOfEq", "Distrib.toAdd", "Ideal.IsTwoSided", "Ideal", "instDistribOfSemiring", "HasQuotient.Quotient", "Ideal.Quotient.ring", "Distrib.toMul", "Ideal.instHasQuotient", "Eq.refl", "RingEquiv", "Ring.toSemiring", "Eq", "Ring" ]
true
Submonoid.closure_eq_mrange
Mathlib.Algebra.Group.Submonoid.Membership
[ "FreeMonoid.lift", "Monoid", "Eq.mpr", "MonoidHom.instMonoidHomClass", "CancelMonoid.toRightCancelMonoid", "FreeMonoid", "MonoidHom.instFunLike", "Equiv.instEquivLike", "MonoidHom", "Monoid.toMulOneClass", "congrArg", "FreeMonoid.instCancelMonoid", "Membership.mem", "id", "Equiv", "Sub...
true
_private.Lean.Meta.Tactic.Grind.Arith.Linear.PropagateEq.0.Lean.Meta.Grind.Arith.Linear.updateOccs
Lean.Meta.Tactic.Grind.Arith.Linear.PropagateEq
[ "instGetElem?OfGetElemOfDecidable", "Pure.pure", "Std.TreeSet.instForInOfMonad", "Lean.Meta.Grind.GrindM", "Unit.unit", "Lean.Meta.Grind.Arith.Linear.Struct.type", "Lean.Meta.Grind.Arith.Linear.Struct.u", "Lean.Meta.Grind.Arith.Linear.Struct.nsmulFn?", "Lean.Meta.Grind.Arith.Linear.Struct.subFn", ...
true
_private.Mathlib.Data.Fin.Tuple.Sort.0.Tuple.lt_card_le_iff_apply_le_of_monotone._proof_1_1
Mathlib.Data.Fin.Tuple.Sort
[ "False", "Monotone.eq_1", "eq_false", "Classical.byContradiction", "PartialOrder.toPreorder", "Monotone", "Preorder.toLE", "Eq.mp", "id", "LE.le", "instLEFin", "Fin.instPartialOrder", "Nat", "True", "instIsPreorder_mathlib", "eq_true", "Lean.Grind.Order.le_trans", "of_eq_true", "...
false
Qq.Impl.MVarSynth.level.injEq
Qq.Macro
[ "Qq.Impl.MVarSynth.level", "Eq.propIntro", "Qq.Impl.MVarSynth.level.inj", "Eq.ndrec", "Eq.refl", "Eq", "Qq.Impl.MVarSynth", "Lean.LMVarId" ]
true
BitVec.add_left_inj
Init.Data.BitVec.Lemmas
[ "Eq.mpr", "congrArg", "HSub.hSub", "BitVec.instAdd", "BitVec", "id", "instHAdd", "BitVec.instSub", "Iff", "instHSub", "HAdd.hAdd", "Nat", "BitVec.add_sub_cancel", "Iff.intro", "Eq.refl", "Eq.symm", "Eq" ]
true
LinearRecurrence.solSpace._proof_3
Mathlib.Algebra.LinearRecurrence
[ "Std.Commutative", "Eq.mpr", "Pi.Function.module", "Finset.mul_sum", "IsMulCommutative.is_comm", "instHSMul", "Semiring.toModule", "Pi.addCommMonoid", "HMul.hMul", "Semigroup.to_isAssociative", "Finset.univ", "Lean.Data.AC.Expr.var", "CommSemiring.toNonUnitalCommSemiring", "congrArg", "C...
false
ComplexShape.spectralSequenceNat._proof_6
Mathlib.Algebra.Homology.SpectralSequence.ComplexShape
[ "_private.Mathlib.Algebra.Homology.SpectralSequence.ComplexShape.0.ComplexShape.spectralSequenceNat._proof_4", "Int", "Nat.cast", "Prod.fst", "_private.Mathlib.Algebra.Homology.SpectralSequence.ComplexShape.0.ComplexShape.spectralSequenceNat._proof_5", "instHAdd", "And", "HAdd.hAdd", "Prod.ext", "...
false
SchwartzMap.compCLM._proof_6
Mathlib.Analysis.Distribution.SchwartzSpace.Basic
[ "Seminorm.instSeminormClass", "Mathlib.Tactic.Ring.Common.mul_pf_left", "Iff.mpr", "NormedCommRing.toNormedRing", "add_mul", "AddGroup.toSubtractionMonoid", "Real.instIsOrderedRing", "Norm.norm", "SeminormedAddGroup.toNorm", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "InnerProductSpace.toNorm...
false
Graph.IsSubgraph.inc_eqOn
Mathlib.Combinatorics.Graph.Subgraph
[ "Graph.Inc", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "Graph", "Set.EqOn", "LE.le", "funext", "Graph.IsSubgraph.inc_congr", "Graph.edgeSet", "propext", "Graph.instPartialOrder", "Set.instMembership", "Set" ]
true
Multiset.le_ndinter
Mathlib.Data.Multiset.FinsetOps
[ "_private.Mathlib.Data.Multiset.FinsetOps.0.Multiset.le_ndinter._simp_1_3", "congrArg", "Multiset.instHasSubset", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "_private.Mathlib.Data.Multiset.FinsetOps.0.Multiset.le_ndinter._simp_1_2", "Multiset", "HasSubset.Subset", "LE.le", "if...
true
AlternatingMap.add_compLinearMap
Mathlib.LinearAlgebra.Alternating.Basic
[ "AlternatingMap", "LinearMap.instFunLike", "AlternatingMap.instAdd", "LinearMap", "AddCommMonoid", "instHAdd", "HAdd.hAdd", "eq_self", "of_eq_true", "Semiring", "AddCommSemigroup.toAddCommMagma", "Module", "AlternatingMap.ext", "AddCommMonoid.toAddCommSemigroup", "RingHom.id", "Semirin...
true
_private.Mathlib.CategoryTheory.Limits.Connected.0.CategoryTheory.Limits.Cocone.isColimit_iff_isIso_colimMap_ι.match_1_1
Mathlib.CategoryTheory.Limits.Connected
[ "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "CategoryTheory.Limits.IsColimit", "Nonempty.intro", "Nonempty.casesOn", "Nonempty", "CategoryTheory.Category" ]
false
Sym2.mem_map._simp_1
Mathlib.Data.Sym.Sym2
[ "Sym2.map", "Membership.mem", "Exists", "And", "Sym2.instSetLike", "propext", "Sym2.mem_map", "Eq", "Sym2", "SetLike.instMembership" ]
false
AddMonoidAlgebra.liftMagma._proof_3
Mathlib.Algebra.MonoidAlgebra.Basic
[ "DistribMulActionHom.toMulActionHom", "MulHom", "MonoidHom.instFunLike", "Semiring.toModule", "instSMulOfMul", "Equiv.instEquivLike", "MonoidAlgebra.distribMulAction", "MonoidHom", "MonoidAlgebra.liftMagma", "Monoid.toMulOneClass", "DistribMulAction.toDistribSMul", "IsScalarTower", "AddMonoi...
false
_private.Mathlib.GroupTheory.PushoutI.0.Monoid.PushoutI.NormalWord.eq_one_of_smul_normalized._simp_1_7
Mathlib.GroupTheory.PushoutI
[ "Exists", "exists_prop", "And", "propext", "Eq" ]
false
UInt8.toUSize_shiftLeft
Init.Data.UInt.Bitwise
[ "UInt8.instOfNat", "instModUInt8", "USize.toUInt8", "congrArg", "UInt8.toUSize", "HShiftLeft.hShiftLeft", "instModUSize", "instHMod", "UInt8.toUSize_mod", "instOfNatNat", "Bool.true", "HMod.hMod", "_private.Init.Data.UInt.Bitwise.0.UInt8.toUSize_shiftLeft._simp_1_1", "eq_true_of_decide", ...
true
Setoid.classes
Mathlib.Data.Setoid.Partition
[ "setOf", "Exists", "Setoid", "Eq", "Setoid.r", "Set" ]
true
MulAction.instChartedSpaceQuotient
Mathlib.Geometry.Manifold.Instances.Quotient
[ "MulAction.instChartedSpaceQuotient._proof_2", "Group", "IsLocalHomeomorph.chartedSpace", "DivInvMonoid.toMonoid", "MulAction.orbitRel", "ContinuousConstSMul", "MulAction.instChartedSpaceQuotient._proof_1", "instTopologicalSpaceQuotient", "Quotient.mk", "Group.toDivInvMonoid", "TopologicalSpace"...
true
ProbabilityTheory.geometricMeasure.eq_1
Mathlib.Probability.Distributions.Geometric
[ "Real.instIsOrderedRing", "instDecidableNot", "Real.partialOrder", "Real", "instHSMul", "MeasureTheory.Measure", "instSMulOfMul", "HMul.hMul", "Set.Icc.instZero", "ENNReal.ofReal", "CommSemiring.toSemiring", "Real.instSub", "HSub.hSub", "Membership.mem", "Nat.instMeasurableSpace", "Rea...
true
_private.Aesop.Script.SScript.0.Aesop.Script.SScript.render.go.match_4
Aesop.Script.SScript
[ "Unit.unit", "Aesop.Script.SScript.empty", "Aesop.Script.SScript.casesOn", "Aesop.Script.SScript", "Unit", "Nat", "Aesop.Script.SScript.onGoal", "Aesop.Script.SScript.focusAndSolve", "Aesop.Script.Step" ]
false
Subfield.roots_X_pow_char_sub_X_bot
Mathlib.FieldTheory.Finite.Basic
[ "Eq.mpr", "Polynomial.roots", "Nat.Prime", "Lattice.toSemilatticeSup", "Finset.univ", "CompleteLattice.toLattice", "congrArg", "OrderBot.toBot", "FiniteField.roots_X_pow_card_sub_X", "PartialOrder.toPreorder", "AddGroupWithOne.toAddMonoidWithOne", "HSub.hSub", "Preorder.toLE", "Membership....
true
Std.Internal.Parsec.ByteArray.ws
Std.Internal.Parsec.ByteArray
[ "Unit.unit", "ByteArray.Iterator", "Unit", "Std.Internal.Parsec.ByteArray.Parser", "Std.Internal.Parsec.ParseResult.success", "_private.Std.Internal.Parsec.ByteArray.0.Std.Internal.Parsec.ByteArray.skipWs" ]
true
_private.Init.Data.BitVec.Lemmas.0.BitVec.saddOverflow_assoc._simp_1_3
Init.Data.BitVec.Lemmas
[ "not_or", "And", "propext", "Or", "Eq", "Not" ]
false
_private.Mathlib.Analysis.Complex.UpperHalfPlane.MoebiusAction.0.UpperHalfPlane.denom_cocycle'._simp_1_9
Mathlib.Analysis.Complex.UpperHalfPlane.MoebiusAction
[ "False", "eq_false", "AddMonoid.toAddSemigroup", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "AddMonoidWithOne.toNatCast", "Nat.cast", "CharZero", "Nat.cast_add_one_ne_zero", "AddMonoidWithOne.toOne", "AddZero.toZero", "instHAdd", "AddSemigroup.toAdd", "HAdd.hAdd", "Nat", "On...
false
IsCompactOpenCovered.of_iUnion_eq_of_finite
Mathlib.Topology.Sets.CompactOpenCovered
[ "Eq.mpr", "TopologicalSpace.Opens.coe_iSup", "TopologicalSpace.Opens.instCompleteLattice", "congrArg", "iSup", "PUnit.instUnique", "Finite", "Iff.rfl", "TopologicalSpace.Opens", "Exists", "CompleteLattice.toConditionallyCompleteLattice", "IsCompactOpenCovered.iff_isCompactOpenCovered_sigmaMk",...
true
ConvexCone.IsGenerating.of_top_le_span
Mathlib.Geometry.Convex.Cone.Basic
[ "Iff.mpr", "Submodule", "eq_top_iff", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "ConvexCone.IsGenerating", "ConvexCone.instSetLike", "Preorder.toLE", "AddZeroClass.toAddZero", "PartialOrder", "DistribSMul.toSMulZeroClass", "Submodule.instPartial...
true
Nat.getElem?_toList_rcc_eq_some_iff
Init.Data.Range.Polymorphic.NatLemmas
[ "congrArg", "HSub.hSub", "List.instGetElem?NatLtLength", "Nat.toList_rcc_eq_toList_rco", "Option.some.injEq", "Option.some", "Std.PRange.instIsAlwaysFiniteNat_1", "instSubNat", "instOfNatNat", "_private.Init.Data.Range.Polymorphic.NatLemmas.0.Nat.getElem?_toList_rcc_eq_some_iff._simp_1_1", "inst...
true
Lean.Lsp.CreateFile.Options.mk.noConfusion
Lean.Data.Lsp.Basic
[ "id", "Lean.Lsp.CreateFile.Options", "Lean.Lsp.CreateFile.Options.noConfusion", "Bool", "Lean.Lsp.CreateFile.Options.mk", "Eq" ]
false
_private.Std.Data.DTreeMap.Internal.Model.0.Std.DTreeMap.Internal.Impl.contains'.match_3.eq_1
Std.Data.DTreeMap.Internal.Model
[ "Unit.unit", "Std.DTreeMap.Internal.Impl.inner", "Unit", "Std.DTreeMap.Internal.Impl.leaf", "Nat", "Eq.refl", "Std.DTreeMap.Internal.Impl.contains'.match_3", "Eq", "Std.DTreeMap.Internal.Impl" ]
true
Aesop.GoalUnsafe.rec
Aesop.Tree.Data
[ "Aesop.GoalData", "Lean.Meta.SavedState", "Lean.instBEqMVarId", "Aesop.ForwardState", "Aesop.RappUnsafe", "Aesop.GoalId", "Option.some", "Lean.MVarId", "Aesop.NormalizationState", "Aesop.MVarClusterData.mk", "Aesop.RappData.mk", "Aesop.UnsafeQueue", "List.cons", "Aesop.MVarClusterUnsafe", ...
false
_private.Mathlib.NumberTheory.FLT.Polynomial.0.find_contract
Mathlib.NumberTheory.FLT.Polynomial
[ "Polynomial.derivative", "Polynomial.expand_contract", "Eq.mpr", "IsDomain.to_noZeroDivisors", "Semiring.toModule", "AlgHom.algHomClass", "HMul.hMul", "congrArg", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "Polynomial.algebraOfAlgebra", "LinearMap.instFunLike", "Exists", "map...
true
NonarchAddGroupSeminorm.coe_smul._simp_1
Mathlib.Analysis.Normed.Group.Seminorm
[ "Real", "instHSMul", "instSMulOfMul", "NNReal.instSMulOfReal", "NonarchAddGroupSeminorm.instSMul", "IsScalarTower", "SMul", "NonarchAddGroupSeminorm.funLike", "NonarchAddGroupSeminorm", "NonarchAddGroupSeminorm.coe_smul", "Function.hasSMul", "NNReal", "AddGroup", "Real.instMul", "HSMul.h...
false
isAddFreimanHom_antitone
Mathlib.Combinatorics.Additive.FreimanHom
[ "Multiset.sum", "IsRightCancelAdd.addRightStrictMono_of_addRightMono", "IsAddFreimanHom", "Multiset.card_eq_zero", "Eq.mpr", "Nat.instCanonicallyOrderedAdd", "Preorder.toLT", "Nat.instIsOrderedAddMonoid", "AddLeftCancelSemigroup.toIsLeftCancelAdd", "AddCancelCommMonoid", "Nat.instOne", "Multis...
true
Multiset.disjoint_right
Mathlib.Data.Multiset.UnionInter
[ "Disjoint", "Membership.mem", "Multiset", "disjoint_comm", "Multiset.instOrderBot", "Multiset.instMembership", "Multiset.disjoint_left", "Iff", "Iff.trans", "Not", "Multiset.instPartialOrder" ]
true
List.splitAtD.go._f
Batteries.Data.List.Basic
[ "List.replicate", "List.reverseAux", "Prod.mk", "instOfNatNat", "List.cons", "Nat.below", "List", "Nat", "List.reverse", "List.splitAtD.go.match_1", "Prod", "OfNat.ofNat", "Nat.succ", "List.nil" ]
false
Relation.TransGen
Init.Core
[ "Relation.TransGen.tail", "Relation.TransGen.single" ]
true
AlgebraicGeometry.StructureSheaf.toPushforwardStalkAlgHom
Mathlib.AlgebraicGeometry.Spec
[ "AlgebraicGeometry.StructureSheaf.toPushforwardStalkAlgHom._proof_1", "CategoryTheory.Functor", "CommRingCat.Hom.hom", "Opposite", "CommRingCat.carrier", "Algebra.algebraMap", "TopologicalSpace.Opens.instPartialOrder", "AlgebraicGeometry.Spec.topObj", "CommSemiring.toSemiring", "CommRingCat", "A...
true
SSet.Truncated.Edge.map_id
Mathlib.AlgebraicTopology.SimplicialSet.CompStructTruncated
[ "SSet.Truncated.Edge", "CategoryTheory.ObjectProperty.FullSubcategory.mk", "CategoryTheory.NatTrans.naturality_apply", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ConcreteCategory.hom", "SSet.Truncated.Edge._proof_2", "SSet.Truncated.Edge.edge", ...
true
ConditionallyCompletePartialOrderInf.mk.noConfusion
Mathlib.Order.ConditionallyCompletePartialOrder.Defs
[ "PartialOrder.toPreorder", "Preorder.toLE", "DirectedOn", "ConditionallyCompletePartialOrderInf.mk", "PartialOrder", "GE.ge", "InfSet", "id", "heq_of_eq", "Set.Nonempty", "IsGLB", "BddBelow", "Eq.refl", "HEq", "ConditionallyCompletePartialOrderInf", "Eq", "InfSet.sInf", "Conditiona...
false
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.Equiv.keyAtIdx?_eq._simp_1_1
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "Ordering", "Ordering.eq", "Ord.compare", "Bool.true", "BEq.beq", "propext", "Bool", "Std.LawfulBEqOrd", "BEq", "Eq", "Std.LawfulBEqOrd.compare_eq_iff_beq" ]
false
_private.Mathlib.Algebra.Lie.Solvable.0.LieAlgebra.derivedSeriesOfIdeal_add_le_add._simp_1_3
Mathlib.Algebra.Lie.Solvable
[ "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeSup.toMax", "LE.le", "Max.max", "le_sup_of_le_right", "True", "eq_true", "SemilatticeSup.toPartialOrder", "Eq", "SemilatticeSup" ]
false
_private.Mathlib.Analysis.Normed.Module.Alternating.Uncurry.Fin.0.ContinuousAlternatingMap.alternatizeUncurryFin_curryLeft._simp_1_1
Mathlib.Analysis.Normed.Module.Alternating.Uncurry.Fin
[ "instHSMul", "ContinuousAlternatingMap.map_insertNth", "NormedSpace", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "NormedField.toField", "Fin.insertNth", "Int.instNegInt", "instOfNatNat", "Int", "Fin.val", "Field.to...
false
_private.Mathlib.Algebra.Lie.Semisimple.Basic.0.LieAlgebra.IsSemisimple.isSimple_of_isAtom._simp_1_13
Mathlib.Algebra.Lie.Semisimple.Basic
[ "ZeroMemClass.coe_eq_zero", "SetLike", "Membership.mem", "Subtype", "ZeroMemClass.zero", "ZeroMemClass", "propext", "Zero.toOfNat0", "OfNat.ofNat", "Subtype.val", "Eq", "SetLike.instMembership", "Zero" ]
false
NumberField.mixedEmbedding.convexBodySum
Mathlib.NumberTheory.NumberField.CanonicalEmbedding.ConvexBody
[ "NumberField.mixedEmbedding.convexBodySumFun", "Real.instLE", "Real", "setOf", "LE.le", "NumberField.mixedEmbedding.mixedSpace", "Field", "NumberField", "Set" ]
true
Int16.instLawfulOrderOrd
Init.Data.Ord.SInt
[ "Std.le_total", "Std.LawfulOrderOrd", "Int16.decLe", "instLTInt16", "Int16", "isLE_compareOfLessAndEq", "Int16.instOrd", "Std.LawfulOrderOrd.mk", "instLawfulOrderLTInt16", "isGE_compareOfLessAndEq", "instLEInt16", "Std.IsLinearOrder.toIsPartialOrder", "Std.not_le", "Std.instAntisymmLeOfIsP...
true
Subring.mem_comap._simp_1
Mathlib.Algebra.Ring.Subring.Basic
[ "Subring.instSetLike", "RingHom", "Membership.mem", "NonAssocRing", "RingHom.instFunLike", "Subring.mem_comap", "Subring", "Subring.comap", "propext", "Eq", "DFunLike.coe", "NonAssocRing.toNonAssocSemiring", "SetLike.instMembership" ]
false
Sbtw.sub_const
Mathlib.Analysis.Convex.Between
[ "Iff.mpr", "AddCommGroup.toAddCommMonoid", "HSub.hSub", "AddCommGroup.toAddGroup", "PartialOrder", "AddCommGroup", "addGroupIsAddTorsor", "SubNegMonoid.toSub", "instHSub", "AddGroup.toSubNegMonoid", "sbtw_sub_const_iff", "Module", "Ring.toSemiring", "Ring", "Sbtw" ]
true
CategoryTheory.ShortComplex.π₂_obj
Mathlib.Algebra.Homology.ShortComplex.Basic
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.instCategory", "Eq.refl", "CategoryTheory.ShortComplex.π₂", "Eq", "CategoryTheory.Functor.obj", "CategoryTheory.Category", "CategoryTheory.ShortComplex.X₂" ]
true
_private.Mathlib.CategoryTheory.Monoidal.Category.0.CategoryTheory.MonoidalCategory.whisker_exchange._simp_1_2
Mathlib.CategoryTheory.Monoidal.Category
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.CategoryStruct.id", "CategoryTheory.MonoidalCategoryStruct.whiskerRight", "CategoryTheory.MonoidalCategoryStruct.tensorObj", "CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct", "CategoryT...
false
Std.ExtHashMap.mem_erase
Std.Data.ExtHashMap.Lemmas
[ "Std.ExtDHashMap.mem_erase", "Std.ExtHashMap.inner", "Membership.mem", "LawfulHashable", "Std.ExtHashMap", "And", "BEq.beq", "Iff", "EquivBEq", "Bool", "Hashable", "Std.ExtHashMap.erase", "Bool.false", "Std.ExtHashMap.instMembershipOfEquivBEqOfLawfulHashable", "BEq", "Eq" ]
true
CategoryTheory.Center.isoMk._proof_5
Mathlib.CategoryTheory.Monoidal.Center
[ "CategoryTheory.IsIso", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.HalfBraiding", "CategoryTheory.Center.isoMk._proof_3", "CategoryTheory.MonoidalCategory", "CategoryTheory.Center.instCategory", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Center.ext...
false
MeasureTheory.SimpleFunc.rec
Mathlib.MeasureTheory.Function.SimpleFunc
[ "MeasureTheory.SimpleFunc.mk", "MeasurableSet", "Set.Finite", "MeasureTheory.SimpleFunc", "Set.instSingletonSet", "MeasurableSpace", "Set.preimage", "Set.range", "Singleton.singleton", "Set" ]
false
_private.Init.Data.List.ToArray.0.Array.isPrefixOfAux.eq_1
Init.Data.List.ToArray
[ "_private.Init.Data.List.ToArray.0.Array.isPrefixOfAux.eq_def", "instDecidableEqBool", "instOfNatNat", "LE.le", "instLENat", "dite", "Array", "GetElem.getElem", "Bool.true", "instHAdd", "BEq.beq", "Array.instGetElemNatLtSize", "HAdd.hAdd", "Nat", "LT.lt", "_private.Init.Data.Array.Basi...
true
Finset.Ici_mul_Ioi_subset'
Mathlib.Algebra.Group.Pointwise.Finset.Interval
[ "Eq.mpr", "Set.Ioi", "Preorder.toLT", "HMul.hMul", "Set.Ici", "LocallyFiniteOrderTop", "Finset.Ioi", "congrArg", "Finset", "PartialOrder.toPreorder", "Mul", "Finset.coe_mul", "PartialOrder", "id", "Finset.Ici", "HasSubset.Subset", "MulLeftStrictMono", "Set.Ici_mul_Ioi_subset'", "...
true
_private.Mathlib.Algebra.Group.Defs.0.npowRec'.match_1.eq_2
Mathlib.Algebra.Group.Defs
[ "instOfNatNat", "Nat", "Eq.refl", "OfNat.ofNat", "Nat.succ", "Eq", "npowRec'.match_1" ]
true
Ideal.fiberIsoOfBijectiveResidueField.eq_1
Mathlib.RingTheory.Etale.QuasiFinite
[ "Ideal.fiberIsoOfBijectiveResidueField._proof_7", "CommRing", "Algebra.to_smulCommClass", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "CommRing.toNonUnitalCommRing", "PrimeSpectrum.comapEquiv", "Ideal.primesOver", "AlgEquiv.symm", "OreLocalization.instAlgebra", "Ideal.R...
true
AlternatingMap.codRestrict_apply_coe
Mathlib.LinearAlgebra.Alternating.Basic
[ "AlternatingMap", "Submodule", "Submodule.addCommMonoid", "Membership.mem", "Subtype", "Submodule.module", "AddCommMonoid", "Submodule.setLike", "Semiring", "Eq.refl", "AlternatingMap.codRestrict", "Module", "Subtype.val", "Eq", "DFunLike.coe", "SetLike.instMembership", "AlternatingM...
true
Lean.Lsp.InlayHintLabelPart.value
Lean.Data.Lsp.LanguageFeatures
[ "Lean.Lsp.InlayHintLabelPart", "String" ]
true
ProfiniteAddGrp.Hom.casesOn
Mathlib.Topology.Algebra.Category.ProfiniteGrp.Basic
[ "ProfiniteAddGrp.Hom", "ContinuousAddMonoidHom", "_private.Mathlib.Topology.Algebra.Category.ProfiniteGrp.Basic.0.ProfiniteAddGrp.Hom.mk", "ProfiniteAddGrp", "TotallyDisconnectedSpace", "TopCat.str", "ProfiniteAddGrp.addGroup", "TopCat.carrier", "AddGroup.toSubNegMonoid", "ProfiniteAddGrp.Hom.rec"...
false
Lean.Server.Watchdog.ReferenceData.mk.injEq
Lean.Server.Watchdog
[ "Lean.Server.Watchdog.ReferenceData.mk.inj", "Eq.propIntro", "Lean.injEq_helper", "Ord.compare", "Array", "Lean.Lsp.DocumentUri", "And", "Unit", "Lean.Server.ServerTask", "Nat", "Eq.ndrec", "Eq.refl", "Lean.Server.Watchdog.ReferenceData.mk", "String.instOrd", "Lean.Server.Watchdog.Refere...
true