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stringlengths
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stringlengths
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listlengths
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allowCompletion
bool
2 classes
Lean.Elab.Term.CollectPatternVars.Context.casesOn
Lean.Elab.PatternVar
[ "Lean.Elab.Term.CollectPatternVars.Context.mk", "Lean.ConstructorVal", "Std.HashSet", "Lean.Syntax.Ident", "Lean.Elab.Term.CollectPatternVars.Context", "Lean.Syntax.Term", "Array", "List", "Nat", "Bool", "Lean.Elab.Term.NamedArg", "Lean.Name", "Lean.Elab.Term.Arg", "Prod", "Lean.BinderIn...
false
Lean.Lsp.InitializeParams.processId?._default
Lean.Data.Lsp.InitShutdown
[ "id", "Int", "Option.none", "Option" ]
false
MonoidAlgebra.ext
Mathlib.Algebra.MonoidAlgebra.Defs
[ "Finsupp.instFunLike", "Finsupp.ext", "MonoidAlgebra", "Semiring", "Eq", "DFunLike.coe", "Finsupp", "MulZeroClass.toZero", "instMulZeroClassOfSemiring" ]
true
ContinuousMultilinearMap.opNorm_prod
Mathlib.Analysis.Normed.Module.Multilinear.Basic
[ "Norm.norm", "Real", "Prod.normedSpace", "SeminormedAddCommGroup", "NormedSpace", "AddCommGroup.toAddCommMonoid", "SeminormedAddGroup.toNNNorm", "NNNorm.nnnorm", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "instTopologicalSpaceProd", "ContinuousMultilinearMap.hasOpNorm", "Con...
true
Std.Rci.mk.inj
Init.Data.Range.Polymorphic.PRange
[ "Std.Rci.mk", "Std.Rci", "eq_of_heq", "HEq", "Std.Rci.mk.noConfusion", "Eq" ]
true
ContinuousAlgEquiv.isUniformEmbedding
Mathlib.Topology.Algebra.Algebra.Equiv
[ "UniformSpace", "Equiv.isUniformEmbedding", "AddGroupWithOne.toAddGroup", "IsUniformEmbedding", "ContinuousAlgEquiv.symm", "ContinuousAlgHom.uniformContinuous", "ContinuousAlgEquiv.toContinuousAlgHom", "Algebra", "ContinuousAlgEquiv.equivLike", "IsUniformAddGroup", "CommSemiring", "ContinuousA...
true
RootedTree.mk.injEq
Mathlib.Order.SuccPred.Tree
[ "Eq.propIntro", "PartialOrder.toPreorder", "Lean.injEq_helper", "Preorder.toLE", "OrderBot", "SemilatticeInf.toPartialOrder", "HEq.homo_ndrec", "RootedTree.mk", "RootedTree.mk.inj", "RootedTree", "And", "IsPredArchimedean", "SemilatticeInf", "eq_of_heq", "Eq.ndrec", "Eq.refl", "HEq",...
true
Lean.Kernel.Exception.unknownConstant.inj
Lean.Environment
[ "Lean.Kernel.Exception", "Lean.Kernel.Environment", "Lean.Kernel.Exception.unknownConstant", "And", "Lean.Kernel.Exception.unknownConstant.noConfusion", "And.intro", "Lean.Name", "Eq" ]
true
Primrec.cond
Mathlib.Computability.Primrec.Basic
[ "cond", "Iff.mpr", "Primrec.of_eq", "Primcodable.ofDenumerable", "Primrec.fst", "Prod.mk", "Prod.fst", "Primcodable.prod", "Primrec", "Bool.true", "Primrec.encode_iff", "Bool.casesOn", "Primcodable.bool", "Nat", "Primrec.comp", "Primcodable.toEncodable", "Primcodable", "Bool", "E...
true
_private.Mathlib.NumberTheory.NumberField.CanonicalEmbedding.NormLeOne.0.NumberField.mixedEmbedding.fundamentalCone.logMap_expMapBasis._simp_1_3
Mathlib.NumberTheory.NumberField.CanonicalEmbedding.NormLeOne
[ "Subtype.forall", "Subtype", "Subtype.mk", "propext", "Eq" ]
false
nat_abs_sum_le
Mathlib.Algebra.BigOperators.Group.Finset.Basic
[ "Int.instAddCommMonoid", "Finset", "Int", "LE.le", "instLENat", "Nat", "Int.natAbs", "Nat.instAddCommMonoid", "Int.natAbs_sum_le", "Finset.sum" ]
true
CovariantDerivative.finite_affine_combination._proof_2
Mathlib.Geometry.Manifold.VectorBundle.CovariantDerivative.Basic
[ "NormedCommRing.toSeminormedCommRing", "ContinuousSMul", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "NormedField.toField", "AddZeroClass.toAddZero", "AddCommGroup", "DistribSMul.toSM...
false
OnePoint.continuousMapMkDiscrete._proof_1
Mathlib.Topology.Compactification.OnePoint.Basic
[ "Eq.mpr", "congrArg", "DiscreteTopology", "ContinuousMap.mk", "ContinuousMap", "DiscreteTopology.toT2Space", "nhds", "id", "Filter.coclosedCompact", "Filter.cocompact", "TopologicalSpace", "Filter.Tendsto", "Filter.coclosedCompact_eq_cocompact", "T2Space.r1Space", "Filter.cofinite", "c...
false
Subsemiring.toIsStrictOrderedRing
Mathlib.Algebra.Ring.Subsemiring.Order
[ "Subsemiring.instSetLike", "IsStrictOrderedRing", "Membership.mem", "PartialOrder", "Subtype", "Subsemiring", "Subsemiring.instSubsemiringClass", "Subsemiring.toSemiring", "Semiring", "Subtype.partialOrder", "SubsemiringClass.toIsStrictOrderedRing", "Semiring.toNonAssocSemiring", "SetLike.in...
true
String.Pos.Raw.isValidForSlice_eq_false_iff._simp_1
Init.Data.String.Basic
[ "String.Slice", "String.Pos.Raw", "String.Pos.Raw.IsValidForSlice", "String.Pos.Raw.isValidForSlice", "String.Pos.Raw.isValidForSlice_eq_false_iff", "propext", "Bool", "Bool.false", "Eq", "Not" ]
false
Std.TreeMap.getKeyD_maxKey!
Std.Data.TreeMap.Lemmas
[ "Std.DTreeMap.getKeyD_maxKey!", "Std.TreeMap.inner", "Ordering", "Std.TransCmp", "Std.TreeMap.isEmpty", "Std.TreeMap.maxKey!", "Bool", "Std.TreeMap.getKeyD", "Inhabited", "Bool.false", "Eq", "Std.TreeMap" ]
true
CartanMatrix.Generators.F.sizeOf_spec
Mathlib.Algebra.Lie.SerreConstruction
[ "CartanMatrix.Generators.F", "instOfNatNat", "CartanMatrix.Generators", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "SizeOf", "CartanMatrix.Generators._sizeOf_inst", "OfNat.ofNat", "Eq" ]
true
IterateAddAct.instMeasurableSpace.eq_1
Mathlib.MeasureTheory.MeasurableSpace.Instances
[ "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "PartialOrder.toPreorder", "Preorder.toLE", "IterateAddAct", "CompleteLattice.toBoundedOrder", "IterateAddAct.instMeasurableSpace", "MeasurableSpace", "OrderTop.toTop", "BoundedOrder.toOrderTop", "MeasurableSpace.instCompleteLattice", "E...
true
_private.Mathlib.GroupTheory.SpecificGroups.Dihedral.0.DihedralGroup.center_eq_bot_of_odd_ne_one._proof_1_3
Mathlib.GroupTheory.SpecificGroups.Dihedral
[ "Int.Linear.eq_of_core", "Int.Linear.not_eq_norm_expr", "Lean.RArray.leaf", "Int.instDiv", "False", "Int.Nonneg.toPoly", "Int.Linear.le_coeff", "instHDiv", "HMul.hMul", "Lean.Grind.iff_eq", "congrArg", "Int.Linear.le_norm_expr", "Int.Linear.le_unsat", "Int.Linear.eq_norm", "Classical.byC...
false
CategoryTheory.InjectiveResolution.add_extMk
Mathlib.CategoryTheory.Abelian.Injective.Ext
[ "CategoryTheory.InjectiveResolution.extEquivCohomologyClass._proof_2", "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.InjectiveResolution.extEquivCohomologyClass_symm_add", "CochainComplex.HomComplex.Cocycle.fromSingleMk_add", "Eq.mpr", "CategoryTheory.InjectiveResolution.cochainComplex", "Cate...
true
DiffeologicalSpace.CorePlotsOn.mk.inj
Mathlib.Geometry.Diffeology.Basic
[ "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "Real", "PiLp.normedSpace", "fact_one_le_two_ennreal", "Real.denselyNormedField", "instTopENat", "Real.instRCLike", "TopologicalSpace.IsOpen", "DiffeologicalSpace.CorePlotsOn.isOpen_iff_preimages_plots._autoParam", "Set.un...
true
Std.Roo.HasRcoIntersection.ctorIdx
Init.Data.Range.Polymorphic.PRange
[ "Std.Roo.HasRcoIntersection", "Nat" ]
false
Batteries.Random.MersenneTwister.State.twist
Batteries.Data.Random.MersenneTwister
[ "cond", "instHOrOfOrOp", "BitVec.instAndOp", "BitVec.instHShiftRightNat", "BitVec.instXorOp", "Vector", "_private.Batteries.Data.Random.MersenneTwister.0.Batteries.Random.MersenneTwister.Config.lMask", "_private.Batteries.Data.Random.MersenneTwister.0.Batteries.Random.MersenneTwister.State.twist._proo...
true
NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal._proof_8
Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unique
[ "NNReal.instTopologicalSpace", "NNReal.instCommSemiring", "instTrivialStarReal", "Real", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "instStarRingReal", "IsTopologicalRing.toIsTopologicalSemiring", "Real.instZero", "congrArg", "NonUnitalStarAlgHom.instStarHomClass", "...
false
Eq.ndrec_symm.congr_simp
Init.Grind.Ring.CommSolver
[ "Eq.rec", "Eq.ndrec_symm", "Eq.refl", "Eq" ]
true
Fin.decodeProd_encodeProd
Batteries.Data.Fin.Coding
[ "congrArg", "Fin.encodeProd", "Fin.modNat_mkDivMod", "Prod.mk", "Fin.modNat", "Prod.fst", "Fin.decodeProd", "Nat", "congr", "True", "eq_self", "of_eq_true", "Fin.divNat_mkDivMod", "congrFun'", "Prod", "Fin", "Eq", "Prod.snd", "Fin.divNat", "Eq.trans" ]
true
Array.elem_push_self
Init.Data.Array.Lemmas
[ "instDecidableTrue", "Array.contains_eq_mem", "Array.push", "Array.instDecidableMemOfLawfulBEq", "congrArg", "Decidable.decide.congr_simp", "Array.instMembership", "LawfulBEq", "Membership.mem", "Array.mem_push._simp_1", "decide_true", "Array", "Bool.true", "True", "eq_self", "Array.el...
true
Mathlib.Meta.Positivity.evalPowZeroNat
Mathlib.Tactic.Positivity.Basic
[ "Pure.pure", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Mathlib.Meta.Positivity.Strictness", "Mathlib.Meta.Positivity.PositivityExt", "String", "Lean.Meta.State", "Lean.Expr.const", "Lean.instAddErrorMessageContextOfAddMessageContextOfMonad", "Lean.throwError", "Lean.MonadQuo...
true
LibraryNote.category_theory_universes
Mathlib.CategoryTheory.Category.Basic
[ "Inhabited.default", "Batteries.Util.instInhabitedLibraryNote", "Batteries.Util.LibraryNote" ]
true
Equiv.subtypePreimage._proof_7
Mathlib.Logic.Equiv.Basic
[ "Eq.mpr", "Equiv.subtypePreimage.match_1", "congrArg", "Function.comp", "dif_pos", "id", "Subtype", "dif_neg", "dite", "Subtype.mk", "funext", "DecidablePred", "Eq.refl", "congrFun'", "Eq.symm", "Subtype.val", "Eq", "Not" ]
false
_private.Lean.Meta.Tactic.Grind.Arith.CommRing.RingId.0.Lean.Meta.Grind.Arith.CommRing.getCommSemiringId?.go?
Lean.Meta.Tactic.Grind.Arith.CommRing.RingId
[ "Lean.Meta.Grind.Arith.CommRing.SemiringExpr", "Pure.pure", "Lean.Meta.Grind.GrindM", "Lean.MessageData", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Lean.Meta.Sym.synthInstance?", "Array.mkEmpty", "Lean.Meta.Grind.Goal", "Lean.PersistentArrayNode.node", "StateRefT'.instAltern...
true
Lean.Elab.HeaderProcessedSnapshot.noConfusionType
Lean.Elab.DefView
[ "Lean.Elab.BodyProcessedSnapshot", "Lean.Language.SnapshotTree", "Lean.Syntax", "Lean.Elab.Tactic.TacticParsedSnapshot", "Lean.Language.SnapshotTask", "Array", "Lean.Elab.Term.SavedState", "Lean.Elab.DefViewElabHeaderData", "Lean.Language.Snapshot", "Lean.Elab.HeaderProcessedSnapshot.casesOn", "...
false
Lean.instReprSMap
Lean.Data.SMap
[ "Std.Format.instAppend", "instReprList", "Repr.mk", "Lean.SMap.toList", "instReprProdOfReprTuple", "instHAppendOfAppend", "List", "Lean.SMap", "Nat", "instReprTupleOfRepr", "Std.Format", "Repr.addAppParen", "Hashable", "Prod", "Repr", "reprArg", "BEq", "HAppend.hAppend", "Std.For...
true
_private.Init.Data.List.Nat.Count.0.List.countP_replace._proof_1_6
Init.Data.List.Nat.Count
[ "List.countP", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "List.contains", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some", "L...
false
_private.Mathlib.AlgebraicTopology.SimplexCategory.Basic.0.SimplexCategory.δ_comp_δ._proof_1_1
Mathlib.AlgebraicTopology.SimplexCategory.Basic
[ "Lean.RArray.leaf", "False", "Int.Linear.le_norm_expr", "Int.Linear.le_unsat", "PartialOrder.toPreorder", "Nat.ToInt.add_congr", "Lean.Grind.Nat.lt_eq", "Preorder.toLE", "Eq.mp", "Lean.RArray.branch", "Nat.ToInt.natCast_ofNat", "Int.Linear.Expr.add", "id", "Lean.RArray", "Int.instNegInt"...
false
FractionalIdeal.definition._proof_3._@.Mathlib.RingTheory.FractionalIdeal.Operations.2078496209._hygCtx._hyg.2
Mathlib.RingTheory.FractionalIdeal.Operations
[ "MonoidHom.instMonoidHomClass", "CommRing", "RingEquiv.refl", "MonoidHom.instFunLike", "MonoidHom", "CommSemiring.toSemiring", "FractionalIdeal.definition._proof_1._@.Mathlib.RingTheory.FractionalIdeal.Operations.2078496209._hygCtx._hyg.2", "Distrib.toAdd", "NonAssocSemiring.toMulZeroOneClass", "M...
false
Polynomial.evalEval_neg
Mathlib.Algebra.Polynomial.Bivariate
[ "Polynomial.C", "Polynomial.eval", "NegZeroClass.toNeg", "Polynomial.instNeg", "congrArg", "RingHom", "SubtractionMonoid.toSubNegZeroMonoid", "Polynomial.ring", "SubNegZeroMonoid.toNegZeroClass", "SubtractionCommMonoid.toSubtractionMonoid", "Polynomial", "Polynomial.evalEval", "RingHom.instF...
true
summable_pnat_iff_summable_succ
Mathlib.Topology.Algebra.InfiniteSum.NatInt
[ "PNat.val", "Equiv.instEquivLike", "Function.comp", "Equiv", "instOfNatNat", "AddCommMonoid", "TopologicalSpace", "instHAdd", "Iff", "HAdd.hAdd", "Equiv.pnatEquivNat", "Equiv.summable_iff", "Nat", "instAddNat", "Summable", "Equiv.symm", "OfNat.ofNat", "DFunLike.coe", "Iff.symm", ...
true
CentroidHom.commRing
Mathlib.Algebra.Ring.CentroidHom
[ "CommRing", "HMul.hMul", "CentroidHom.instRing", "NonUnitalNonAssocSemiring.toMulZeroClass", "NonUnitalRing.toNonUnitalNonAssocRing", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "Distrib.toMul", "CentroidHom.commRing._proof_1", "NonUnitalNonAssocSemiring.toDistrib", "Zero.toOfNat0", "Or...
true
ProbabilityTheory.HasGaussianLaw.fst
Mathlib.Probability.Distributions.Gaussian.HasGaussianLaw.Basic
[ "Real", "MeasureTheory.Measure", "NormedSpace", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "instTopologicalSpaceProd", "BorelSpace", "Real.semiring", "ProbabilityTheory.HasGaussianLaw", "Prod.mk", "ProbabilityTheory.HasGaussianLaw.map_of_measura...
true
NNRat.castHom
Mathlib.Data.Rat.Cast.CharZero
[ "NonAssocSemiring.toAddCommMonoidWithOne", "MulOne.toOne", "RingHom.mk", "NNRat.cast_one", "NNRat.cast_add", "NNRat.instSemifield", "OneHom.mk", "RingHom", "NNRat", "MonoidHom.mk", "NonAssocSemiring.toMulZeroOneClass", "AddCommMonoidWithOne.toAddMonoidWithOne", "DivisionSemiring.toNNRatCast"...
true
CategoryTheory.Abelian.Ext.precompOfLinear._proof_1
Mathlib.Algebra.Homology.DerivedCategory.Ext.Linear
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.Abelian.Ext.instModule", "CommRing", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "CategoryTheory.Abelian.Ext.instAddCommGroup", "CategoryTheory.Linear", "CategoryTheory.Abelian", "smulCommClass_self", "CategoryTheory.HasExt", ...
false
_private.Lean.Server.Completion.CompletionCollectors.0.Lean.Server.Completion.addUnresolvedCompletionItem
Lean.Server.Completion.CompletionCollectors
[ "Lean.Json", "Lean.Name.toString", "String", "Lean.Lsp.CompletionItemTag", "Lean.Lsp.CompletionIdentifier", "Lean.Lsp.CompletionItem.mk", "Option.some", "Lean.Lsp.MarkupContent", "Lean.Lsp.CompletionItem", "Array", "Bool.true", "Option.none", "Lean.Lsp.CompletionItemKind", "Unit", "_priv...
true
CategoryTheory.MorphismProperty.instCompleteBooleanAlgebra._proof_15
Mathlib.CategoryTheory.MorphismProperty.Basic
[ "Lattice.toSemilatticeSup", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CompleteLattice.toLattice", "Compl.compl", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeSup.toMax", "CompleteLattice.toBoundedOrder", "inferInstance", "CompleteBooleanAlgebra", "LE.le", "OrderTop....
false
_private.Init.Data.String.OrderInstances.0.String.Pos.Raw.instTotalLe._simp_6
Init.Data.String.OrderInstances
[ "String.Slice.Pos.offset", "String.Slice", "String.Pos.Raw", "propext", "String.Slice.Pos", "Eq", "String.Slice.Pos.ext_iff" ]
false
ordinaryHypergeometricSeries.congr_simp
Mathlib.Analysis.SpecialFunctions.OrdinaryHypergeometric
[ "Ring.toNonAssocRing", "Algebra", "ContinuousMultilinearMap", "Eq.rec", "Algebra.toModule", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "Field.toSemifield", "NonAssocRing.toNonUnitalNonAssocRing", "IsTopologicalRing", "NonUnitalNonAssocSemiring.toAddCommMonoid", "TopologicalSpace", "S...
true
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.getKey_minKeyD._simp_1_2
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "beqOfOrd", "Ordering", "Std.DTreeMap.Internal.Impl.compare_ne_iff_beq_eq_false", "Ordering.eq", "Ne", "Ord.compare", "BEq.beq", "propext", "Bool", "Bool.false", "Eq" ]
false
NormedAddGroupHom.ker.lift._proof_2
Mathlib.Analysis.Normed.Group.Hom
[ "Subtype.mk.congr_simp", "NormedAddGroupHom", "SeminormedAddCommGroup", "AddMonoid.toAddSemigroup", "AddSubmonoidClass.toAddMonoid._proof_5", "congrArg", "AddCommGroup.toAddCommMonoid", "AddSubgroup.seminormedAddCommGroup", "AddMonoid.toAddZeroClass", "AddCommGroup.toAddGroup", "Membership.mem",...
false
Lean.Server.FileWorker.PendingRequest.noConfusion
Lean.Server.FileWorker
[ "Lean.Server.FileWorker.PendingRequest.noConfusionType", "Lean.Server.FileWorker.PendingRequest", "Lean.Server.FileWorker.PendingRequest.casesOn", "Unit", "Lean.Server.ServerTask", "Lean.Server.RequestCancellationToken", "Eq.ndrec", "Eq.refl", "IO.Error", "Except", "Eq" ]
false
AddSubgroup.instNormalCenter
Mathlib.GroupTheory.Subgroup.Center
[ "AddGroup.toSubtractionMonoid", "Eq.mpr", "NegZeroClass.toNeg", "congrArg", "add_neg_cancel_right", "AddMonoid.toAddZeroClass", "Membership.mem", "AddZeroClass.toAddZero", "id", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "AddSubgroup", "AddSubgroup.Normal", ...
true
List.splitLengths.eq_def
Mathlib.Data.List.SplitLengths
[ "List.brecOn", "Eq.mpr", "List.splitLengths.match_1", "List.brecOn.go", "List.splitLengths._f", "List.brecOn.eq", "congrArg", "id", "List.rec", "Prod.fst", "List.cons", "List", "PProd", "PUnit", "Nat", "Eq.ndrec", "List.below", "Eq.refl", "List.splitAt", "Prod", "Eq.symm", ...
true
AlgEquiv.ofRingEquiv.congr_simp
Mathlib.RingTheory.AdjoinRoot
[ "Algebra.algebraMap", "CommSemiring.toSemiring", "RingEquiv.instEquivLike", "Algebra", "RingHom", "Eq.rec", "Distrib.toAdd", "instDistribOfSemiring", "CommSemiring", "RingHom.instFunLike", "Distrib.toMul", "AlgEquiv", "Eq.ndrec", "Semiring", "Eq.refl", "AlgEquiv.ofRingEquiv", "RingEq...
true
LieRing.recOn
Mathlib.Algebra.Lie.Basic
[ "AddMonoid.toAddSemigroup", "AddMonoid.toZero", "Bracket.bracket", "AddCommGroup.toAddGroup", "AddCommGroup", "Bracket", "instHAdd", "LieRing", "AddSemigroup.toAdd", "LieRing.mk", "AddGroup.toSubNegMonoid", "HAdd.hAdd", "Zero.toOfNat0", "SubNegMonoid.toAddMonoid", "LieRing.rec", "OfNat...
false
_private.Init.Data.String.Defs.0.String.Slice.Pos.byte._simp_1
Init.Data.String.Defs
[ "String.Slice.Pos.offset", "String.Slice", "String.Pos.Raw", "propext", "String.Slice.Pos", "Eq", "String.Slice.Pos.ext_iff" ]
false
CategoryTheory.ShortComplex.SnakeInput.snd_δ
Mathlib.Algebra.Homology.ShortComplex.SnakeLemma
[ "CategoryTheory.ShortComplex.SnakeInput.L₀'_exact", "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.Limits.pullback", "CategoryTheory.ShortComplex.SnakeInput.L₃", "CategoryTheory.ShortComplex.SnakeInput.L₂", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ShortComplex.H...
true
OrderEmbedding.locallyFiniteOrder._proof_6
Mathlib.Order.Interval.Finset.Defs
[ "Function.Injective.injOn", "Finset", "Preorder.toLE", "Finset.Ico", "RelEmbedding.toEmbedding", "LE.le", "Function.Embedding", "SetLike.coe", "Set.preimage", "Finset.instSetLike", "Function.Embedding.injective", "LocallyFiniteOrder", "OrderEmbedding", "Function.instFunLikeEmbedding", "S...
false
PerfectionMap.id
Mathlib.RingTheory.Perfection
[ "PerfectRing", "Function.iterate_succ_apply'", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Nat.Prime", "frobeniusEquiv", "congrArg", "CommSemiring.toSemiring", "RingEquiv.instEquivLike", "injective_pow_p", "RingHom", "Fact", "id", "Distrib.toAdd", "instOfNatNat", "AddCommMono...
true
Aesop.NormSeqResult.proved.noConfusion
Aesop.Search.Expansion.Norm
[ "Aesop.NormSeqResult.proved", "Aesop.NormSeqResult.noConfusion", "id", "Aesop.DisplayRuleName", "Array", "Aesop.NormSeqResult", "Prod", "Eq", "Aesop.Script.LazyStep", "Option" ]
false
LightProfinite.equivDiagram
Mathlib.Topology.Category.LightProfinite.Basic
[ "LightProfinite.equivDiagram._proof_1", "CategoryTheory.Functor", "lightProfiniteToLightDiagram", "instFaithfulLightDiagramProfiniteLightDiagramToProfinite", "SecondCountableTopology", "CategoryTheory.Functor.category", "CategoryTheory.Equivalence", "CategoryTheory.Functor.comp", "CategoryTheory.Fun...
true
Lean.Meta.Sym.Simp.Result.isContextDependent.match_1
Lean.Meta.Sym.Simp.SimpM
[ "Lean.Expr", "Lean.Meta.Sym.Simp.Result", "Bool", "Lean.Meta.Sym.Simp.Result.casesOn", "Lean.Meta.Sym.Simp.Result.rfl", "Lean.Meta.Sym.Simp.Result.step" ]
false
RelIso.trans._proof_1
Mathlib.Order.RelIso.Basic
[ "Equiv.instEquivLike", "Equiv", "RelIso", "Iff", "RelIso.map_rel_iff", "RelIso.instFunLike", "Iff.trans", "RelIso.toEquiv", "DFunLike.coe", "EquivLike.toFunLike" ]
false
_private.Mathlib.AlgebraicGeometry.Sites.SmallAffineZariski.0.AlgebraicGeometry.Scheme.AffineZariskiSite.coequifibered_iff_forall_isLocalizationAway.match_1_5
Mathlib.AlgebraicGeometry.Sites.SmallAffineZariski
[ "AlgebraicGeometry.Scheme", "AlgebraicGeometry.Scheme.AffineZariskiSite", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AlgebraicGeometry.Scheme.AffineZariskiSite.instPreorder", "Preorder.smallCategory", "Opposite.op", "Opposite.casesOn", "CategoryTheory.Category.opposite", ...
false
Derivation.noConfusion
Mathlib.RingTheory.Derivation.Basic
[ "Derivation", "NonAssocSemiring.toAddCommMonoidWithOne", "instHSMul", "HMul.hMul", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "HEq.refl", "AddMonoid.toAddZeroClass", "LinearMap.instFunLike", "Algebra", "AddZeroClass.toAddZero", "Algebra.toModule", "DistribSMul.toSMulZeroCla...
false
ContinuousLinearMap.mulLeftRight._proof_12
Mathlib.Analysis.Normed.Operator.Mul
[ "NormedCommRing.toSeminormedCommRing", "NonUnitalSeminormedRing", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "NormedSpace", "ContinuousLinearMap.topologicalSpace", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "ContinuousLinearMap.mulLeftR...
false
HomeomorphClass.coe_coe
Mathlib.Topology.Homeomorph.Defs
[ "HomeomorphClass", "HomeomorphClass.toHomeomorph", "TopologicalSpace", "Homeomorph.instEquivLike", "EquivLike", "Homeomorph", "Eq", "DFunLike.coe", "rfl", "EquivLike.toFunLike" ]
true
CategoryTheory.Functor.PullbackObjObj.π_iso_of_iso_left_inv
Mathlib.CategoryTheory.Limits.Shapes.Pullback.PullbackObjObj
[ "CategoryTheory.Functor", "CategoryTheory.Functor.PullbackObjObj.π", "Opposite", "Quiver.Hom", "CategoryTheory.Functor.PullbackObjObj", "CategoryTheory.Functor.category", "CategoryTheory.Functor.PullbackObjObj.pt", "CategoryTheory.Arrow.left", "CategoryTheory.Iso", "CategoryTheory.Arrow.hom", "C...
true
Std.Roi.LawfulRcoIntersection.mk._flat_ctor
Init.Data.Range.Polymorphic.PRange
[ "Std.Rco", "Std.Roi.HasRcoIntersection.intersection", "Membership.mem", "LE", "Std.Roi.instMembershipOfLT", "Std.Roi.LawfulRcoIntersection", "And", "Iff", "Std.Roi.LawfulRcoIntersection.mk", "Std.Roi.HasRcoIntersection", "Std.Rco.instMembershipOfLEOfLT", "Std.Roi", "LT" ]
false
List.mapIdx.go.match_1
Init.Data.List.MapIdx
[ "List.cons", "Array", "List", "List.casesOn", "List.nil" ]
false
Int.lcm_dvd_lcm_mul_right_right
Init.Data.Int.Gcd
[ "Nat.lcm", "Eq.mpr", "Int.lcm", "Dvd.dvd", "HMul.hMul", "Int.natAbs_mul", "congrArg", "id", "instMulNat", "Int", "Int.instMul", "Nat.instDvd", "Nat", "Int.natAbs", "Eq", "instHMul", "Nat.lcm_dvd_lcm_mul_right_right" ]
true
_private.Batteries.Data.Char.Basic.0.Char.any._proof_1
Batteries.Data.Char.Basic
[ "Lean.Grind.CommRing.le_norm_expr", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "False", "of_decide_eq_true", "Lean.Grind.not_and", "Lean.Grind.CommRing.Expr.var", "congrArg", "Std.IsLinearPreorder.toIsPreorder", "Classical.byContradiction", "Lean.Grind.instIsLinearOrderInt", "HSub.hS...
false
_private.Init.Data.String.Decode.0.ByteArray.utf8DecodeChar?.FirstByte.utf8ByteSize.match_1.eq_3
Init.Data.String.Decode
[ "ByteArray.utf8DecodeChar?.FirstByte.invalid", "Unit.unit", "ByteArray.utf8DecodeChar?.FirstByte.threeMore", "ByteArray.utf8DecodeChar?.FirstByte.twoMore", "_private.Init.Data.String.Decode.0.ByteArray.utf8DecodeChar?.FirstByte.utf8ByteSize.match_1", "Unit", "Eq.refl", "ByteArray.utf8DecodeChar?.First...
true
lie_mem_left
Mathlib.Algebra.Lie.Ideal
[ "LieAlgebra.toModule", "LieSubmodule.instSetLike", "Eq.mpr", "NegZeroClass.toNeg", "CommRing", "LieRing.toAddCommGroup", "congrArg", "Bracket.bracket", "Membership.mem", "id", "SubtractionMonoid.toSubNegZeroMonoid", "LieRingModule.toBracket", "neg_lie", "SubNegZeroMonoid.toNegZeroClass", ...
true
_private.Batteries.Logic.0.not_nonempty_pempty.match_1_1
Batteries.Logic
[ "PEmpty", "Nonempty.intro", "Nonempty.casesOn", "Nonempty" ]
false
isGLB_singleton._simp_1
Mathlib.Order.Bounds.Basic
[ "Preorder.toLE", "Set.instSingletonSet", "IsGLB", "True", "eq_true", "isGLB_singleton", "Singleton.singleton", "Eq", "Preorder", "Set" ]
false
CategoryTheory.ObjectProperty.ι_obj_lift_obj
Mathlib.CategoryTheory.ObjectProperty.FullSubcategory
[ "CategoryTheory.Functor", "CategoryTheory.ObjectProperty.ι", "CategoryTheory.ObjectProperty.lift", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.ObjectProperty.FullSubcategory", "CategoryTheory.ObjectProperty.FullSubcategory.category", "Eq", "CategoryTheory.ObjectProperty", "CategoryTh...
true
AlgebraicGeometry.Scheme.Pullback.openCoverOfLeft_I₀
Mathlib.AlgebraicGeometry.Pullbacks
[ "CategoryTheory.Limits.pullback", "AlgebraicGeometry.Scheme", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AlgebraicGeometry.Scheme.OpenCover", "CategoryTheory.PreZeroHypercover.I₀", "AlgebraicGeometry.Scheme.Pullback.openCoverOfLeft", "AlgebraicGeometry.IsOpenImmersion", "AlgebraicGeome...
true
Mathlib.Explode.Entry.casesOn
Mathlib.Tactic.Explode.Datatypes
[ "Lean.MessageData", "Mathlib.Explode.Status", "Mathlib.Explode.Entry", "Mathlib.Explode.Entry.rec", "List", "Nat", "Mathlib.Explode.Entry.mk", "Bool", "Option" ]
false
Algebra.Extension.h1Cotangentι_ext
Mathlib.RingTheory.Extension.Cotangent.Basic
[ "Submodule", "CommRing", "Algebra.Extension.commRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "Algebra.Extension.instModuleCotangent", "CommRing.toNonUnitalCommRing", "instAddCommGroupKaehlerDifferential", "Algebra.Extension.cotangentComplex._proof_2", "CommSemiring....
true
GenContFract.nextDen
Mathlib.Algebra.ContinuedFractions.Basic
[ "HMul.hMul", "DivisionRing.toDivisionSemiring", "Distrib.toAdd", "instDistribOfSemiring", "instHAdd", "Distrib.toMul", "HAdd.hAdd", "DivisionSemiring.toSemiring", "DivisionRing", "instHMul" ]
true
Nat.or_mod_two_eq_one
Init.Data.Nat.Bitwise.Lemmas
[ "_private.Init.Data.Nat.Bitwise.Lemmas.0.Nat.or_mod_two_eq_one._simp_1_1", "Eq.mpr", "instHOrOfOrOp", "congrArg", "Nat.testBit_zero", "id", "Nat.instMod", "instHMod", "instOfNatNat", "iff_self", "Bool.true", "HOr.hOr", "Bool.or_eq_true", "HMod.hMod", "Iff", "Nat", "congr", "True", ...
true
_private.Lean.Meta.Tactic.Grind.Types.0.Lean.Meta.Grind.SolverExtension.mk.injEq
Lean.Meta.Tactic.Grind.Types
[ "Eq.propIntro", "Lean.injEq_helper", "IO", "Lean.Meta.Grind.Action", "Lean.Meta.Grind.SolverExtension", "_private.Lean.Meta.Tactic.Grind.Types.0.Lean.Meta.Grind.SolverExtension.mk.inj", "Lean.Expr", "And", "Unit", "Nat", "_private.Lean.Meta.Tactic.Grind.Types.0.Lean.Meta.Grind.SolverExtension.mk...
true
Submodule.one_mem_div._simp_1
Mathlib.Algebra.Algebra.Operations
[ "NonAssocSemiring.toAddCommMonoidWithOne", "Submodule", "instHDiv", "Submodule.one_mem_div", "CommSemiring.toSemiring", "PartialOrder.toPreorder", "Algebra", "Preorder.toLE", "Membership.mem", "Algebra.toModule", "HDiv.hDiv", "Submodule.instPartialOrder", "AddCommMonoidWithOne.toAddMonoidWit...
false
_private.Mathlib.Data.Nat.Factorial.Basic.0.Nat.descFactorial_self.match_1_1
Mathlib.Data.Nat.Factorial.Basic
[ "Unit.unit", "instOfNatNat", "Unit", "Nat", "OfNat.ofNat", "Nat.succ", "Nat.casesOn" ]
false
eventually_nhdsWithin_iff
Mathlib.Topology.NhdsWithin
[ "Filter.eventually_inf_principal", "nhdsWithin", "Filter.Eventually", "Membership.mem", "nhds", "TopologicalSpace", "Iff", "Set.instMembership", "Set" ]
true
Polynomial.Chebyshev.T_derivative_mem_span_T
Mathlib.RingTheory.Polynomial.Chebyshev
[ "CharP.cast_eq_zero", "Polynomial.derivative", "Int.cast", "Eq.mpr", "Submodule", "False", "Polynomial.instOne", "Submodule.addSubmonoidClass", "CommRing", "instHSMul", "Preorder.toLT", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "instSMulOfMul", "HMul.hMul", ...
true
Qq.Impl.UnquoteState.exprBackSubst
Qq.Macro
[ "Lean.Expr.instBEq", "Lean.Expr", "Std.HashMap", "Qq.Impl.ExprBackSubstResult", "Qq.Impl.UnquoteState", "Lean.Expr.instHashable" ]
true
Matrix.Fin.circulant_mul_comm
Mathlib.LinearAlgebra.Matrix.Circulant
[ "instNeZeroNatHAdd_1", "Fin.instSub", "HMul.hMul", "finZeroElim", "Matrix", "Matrix.instHMulOfFintypeOfMulOfAddCommMonoid", "CommMagma.toMul", "instOfNatNat", "CommMagma", "AddCommMonoid", "Fin.fintype", "instHAdd", "Unit", "Fin.addCommGroup", "_private.Mathlib.LinearAlgebra.Matrix.Circu...
true
Fin.predAbove._proof_2
Mathlib.Data.Fin.SuccPred
[ "Fin.ne_zero_of_lt", "Fin.predAbove._proof_1", "Fin.instOfNat", "Ne", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "LT.lt", "instLTFin", "instAddNat", "Fin.castSucc", "OfNat.ofNat", "Fin" ]
false
metricSpacePi._proof_1
Mathlib.Topology.MetricSpace.Basic
[ "instT4SpaceOfT1SpaceOfNormalSpace", "TopologicalSpace.PseudoMetrizableSpace.toMetrizableSpace", "Pi.topologicalSpace", "T3Space.toT0Space", "PseudoMetricSpace.toUniformSpace", "UniformSpace.completelyNormalSpace_of_isCountablyGenerated_uniformity", "EMetricSpace.toPseudoEMetricSpace", "EMetric.instIs...
false
WellFoundedLT.toOrderBot._proof_3
Mathlib.Order.WellFounded
[ "Preorder.toLT", "LinearOrder", "Set.univ", "WellFoundedLT", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "WellFoundedLT.toOrderBot._proof_2", "WellFounded.min_le", "LE.le", "IsWellFounded.wf", "WellFoundedLT.toOrderBot._proof_1", ...
false
_private.Mathlib.LinearAlgebra.Dimension.Free.0.FiniteDimensional.nonempty_linearEquiv_iff_finrank_eq.match_1_1
Mathlib.LinearAlgebra.Dimension.Free
[ "Nonempty.intro", "AddCommMonoid", "RingHomInvPair.ids", "Nonempty.casesOn", "LinearEquiv", "Semiring", "Nonempty", "Module", "RingHom.id", "Semiring.toNonAssocSemiring" ]
false
Ordinal._aux_Mathlib_SetTheory_Ordinal_Veblen___macroRules_Ordinal_termε₀_1
Mathlib.SetTheory.Ordinal.Veblen
[ "Pure.pure", "Lean.MonadRef.mkInfoFromRefPos", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.Syntax.atom", "Lean.TSyntax.mk", "Lean.Syntax", "ReaderT.instMonad", "Lean.TSyntax.raw", "Lean...
false
_private.Mathlib.Topology.IsLocalHomeomorph.0.IsLocalHomeomorphOn.discreteTopology_image_iff._simp_1_2
Mathlib.Topology.IsLocalHomeomorph
[ "Subtype", "Subtype.ext_iff", "propext", "Subtype.val", "Eq" ]
false
_private.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.Enums.0.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.mkCondChain.go._sunfold
Lean.Elab.Tactic.BVDecide.Frontend.Normalize.Enums
[ "Pure.pure", "Lean.ToExpr.toTypeExpr", "Lean.Meta.State", "Lean.mkApp4", "BitVec", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "_private.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.Enums.0.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.mkCondChain.go", "_private.Lean.Elab.Tactic.BVDecide.Fronte...
false
MonoidAlgebra.nonUnitalNonAssocRing._proof_2
Mathlib.Algebra.MonoidAlgebra.Defs
[ "HMul.hMul", "AddMonoid.toAddSemigroup", "Mul", "NonUnitalNonAssocSemiring.toMul", "NonUnitalNonAssocSemiring.toAddCommMonoid", "instHAdd", "AddSemigroup.toAdd", "HAdd.hAdd", "MonoidAlgebra", "NonUnitalNonAssocSemiring.right_distrib", "AddCommMonoid.toAddMonoid", "MonoidAlgebra.nonUnitalNonAss...
false
CentroidHom.instAddCommGroup._proof_3
Mathlib.Algebra.Ring.CentroidHom
[ "NonUnitalNonAssocRing", "AddMonoid.toAddZeroClass", "CentroidHom.toEnd_add", "AddZeroClass.toAddZero", "Distrib.toAdd", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "instDistribOfSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "instHAdd", "HAdd.hAdd", "AddCommMonoid.toAddMonoid"...
false
_private.Std.Tactic.BVDecide.LRAT.Internal.Formula.RupAddResult.0.Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula.restoreAssignments_performRupCheck_base_case._proof_1_9
Std.Tactic.BVDecide.LRAT.Internal.Formula.RupAddResult
[ "Std.IsLinearPreorder.toIsPreorder", "Std.instReflLeOfIsPreorder", "Std.le_refl._simp_1", "LE.le", "instLENat", "Fin.val", "Array", "Nat", "LT.lt", "Fin.val_lt_of_le", "Bool", "of_eq_true", "instLTNat", "Prod", "Fin", "Std.Tactic.BVDecide.LRAT.Internal.PosFin", "Std.Sat.Literal", "...
false
_private.Lean.Elab.MutualInductive.0.Lean.Elab.Command.withInductiveLocalDecls.loop._unsafe_rec
Lean.Elab.MutualInductive
[ "Pure.pure", "_private.Lean.Elab.MutualInductive.0.Lean.Elab.Command.withInductiveLocalDecls.match_4", "Subarray", "Array.push", "instForInOfForIn'", "Lean.Elab.Term.instMonadTermElabM", "ReaderT", "instMonadControlTOfPure", "_private.Lean.Elab.MutualInductive.0.Lean.Elab.Command.withInductiveLocalD...
false
_private.Lean.Meta.ExprDefEq.0.Lean.Meta.trySynthPending
Lean.Meta.ExprDefEq
[ "Pure.pure", "Lean.Meta.synthPending", "Lean.Meta.State", "Lean.MVarId", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "Lean.Meta.getStuckMVar?", "Applicative.toPure", "Unit", "Lean.Core.CoreM", "Lean.Meta.instMonadMetaM", "StateRefT'", "StateRefT'.instMonad", "Bool", "Monad.toBind",...
true
Option.pfilter_congr
Init.Data.Option.Lemmas
[ "Option.pfilter", "HEq.refl", "Option.some", "Eq.rec", "Eq.casesOn", "funext", "Bool", "eq_of_heq", "Eq.ndrec", "Eq.refl", "HEq", "Eq.symm", "Eq", "Eq.trans", "Option" ]
true