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stringlengths
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2 classes
_private.Mathlib.CategoryTheory.Sites.Sieves.0.CategoryTheory.Presieve.map_iff.match_1_3
Mathlib.CategoryTheory.Sites.Sieves
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Presieve", "CategoryTheory.eqToHom", "Exists", "CategoryTheory.Functor.map", "And.casesOn", "And", "Exists.casesOn", "And.intro", "Exists.intro", "CategoryTheory.CategoryStruct.comp", "Categor...
false
_private.Mathlib.Topology.ContinuousMap.Basic.0.ContinuousMap.instNontrivialOfNonempty.match_1
Mathlib.Topology.ContinuousMap.Basic
[ "Exists", "Ne", "Exists.casesOn", "Exists.intro" ]
false
Lean.Grind.Linarith.eq_normN_cert
Init.Grind.Module.NatModuleNorm
[ "Lean.Grind.Linarith.Expr", "BEq.beq", "Lean.Grind.Linarith.Expr.toPolyN", "Bool", "Lean.Grind.Linarith.instBEqPoly", "Lean.Grind.Linarith.Poly" ]
true
finsetProd_apply_eq_zero'
Mathlib.Algebra.DirectSum.Internal
[ "SetLike", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "SetLike.gOne", "Preorder.toLT", "Finset.prod_map_toList", "congrArg", "CommSemiring.toSemiring", "Finset", "DirectSum.commSemiring", "List.map", "LinearOrder", "AddMonoid.toAddZeroClass", "List.sum", "PartialOrder.toPreorde...
true
CategoryTheory.Limits.IsLimit.ofIsoLimit_lift
Mathlib.CategoryTheory.Limits.IsLimit
[ "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Iso", "CategoryTheory.Limits.Cone.pt", "CategoryTheory.Limits.IsLimit", "CategoryTheory.Limits.ConeMorphism.hom", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Ca...
true
Finset.orderEmbOfFin_last
Mathlib.Data.Finset.Sort
[ "Finset.orderEmbOfFin_apply._proof_1", "Finset.orderEmbOfFin", "congrArg", "Finset", "LinearOrder", "PartialOrder.toPreorder", "GetElem.getElem.congr_simp", "HSub.hSub", "Preorder.toLE", "Finset.max'", "SemilatticeInf.toPartialOrder", "Eq.rec", "LinearOrder.toDecidableLE", "DistribLattice....
true
LinearEquiv.prodCongr._proof_2
Mathlib.LinearAlgebra.Prod
[ "instHSMul", "DistribMulAction.toDistribSMul", "Prod.instAdd", "AddMonoid.toAddZeroClass", "RingHom", "AddZeroClass.toAddZero", "LinearEquiv.map_smulₛₗ", "DistribSMul.toSMulZeroClass", "LinearEquiv.toAddEquiv", "Equiv.toFun", "Prod.fst", "AddCommMonoid", "AddZero.toZero", "AddEquiv.prodCon...
false
USize.ofFin_uint8ToFin
Init.Data.UInt.Lemmas
[ "UInt8.toFin", "UInt8.size", "Fin.castLE", "UInt8.toUSize", "USize.ofFin", "USize.size", "UInt8.size_le_usizeSize", "UInt8", "Eq", "rfl", "USize" ]
true
_private.Mathlib.Combinatorics.Enumerative.Composition.0.compositionAsSetEquiv._proof_1
Mathlib.Combinatorics.Enumerative.Composition
[ "Int.Linear.eq_of_core", "Lean.RArray.leaf", "False", "HMul.hMul", "Nat.succ_eq_add_one", "of_decide_eq_true", "Int.Linear.norm_le", "eq_false", "Int.Linear.Expr.eq_of_norm_eq", "Lean.Grind.ToInt.toInt", "congrArg", "Int.Linear.le_norm_expr", "Lean.Grind.Semiring.mul_one", "Int.Linear.le_u...
false
Cardinal.aleph0_power_aleph0
Mathlib.SetTheory.Cardinal.Continuum
[ "le_rfl", "Cardinal.instPowCardinal", "Cardinal", "PartialOrder.toPreorder", "Cardinal.power_self_eq", "Cardinal.aleph0", "Cardinal.continuum", "Cardinal.partialOrder", "HPow.hPow", "instHPow", "Eq" ]
true
LinearPMap.neg_domain
Mathlib.LinearAlgebra.LinearPMap
[ "Submodule", "AddCommGroup.toAddCommMonoid", "RingHom", "AddCommGroup", "LinearPMap", "LinearPMap.instNeg", "Module", "LinearPMap.domain", "Semiring.toNonAssocSemiring", "Ring.toSemiring", "Eq", "Ring", "Neg.neg", "rfl" ]
true
List.disjoint_append_right
Batteries.Data.List.Lemmas
[ "Eq.mpr", "congrArg", "id", "List.disjoint_comm", "List.Disjoint", "iff_self", "instHAppendOfAppend", "List", "And", "Iff", "congr", "True", "propext", "Iff.trans", "of_eq_true", "congrFun'", "_private.Batteries.Data.List.Lemmas.0.List.disjoint_append_right._simp_1_1", "List.disjoi...
true
_private.Mathlib.Algebra.Order.BigOperators.GroupWithZero.List.0.List.prod_nonneg._simp_1_2
Mathlib.Algebra.Order.BigOperators.GroupWithZero.List
[ "forall_eq_or_imp", "And", "propext", "Or", "Eq" ]
false
CategoryTheory.GrpObj.lift_inv_comp_left
Mathlib.CategoryTheory.Monoidal.Grp
[ "CategoryTheory.Category.assoc", "CategoryTheory.GrpObj.inv", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.eq_whisker", "CategoryTheory.CategoryStruct.id", "CategoryTheory.GrpObj.toMonObj", "Eq.mp", "CategoryTheory.IsMonHom", "CategoryTheory.CartesianMonoid...
true
AddMonoidHom.toHomAddUnits._proof_1
Mathlib.Algebra.Group.Units.Hom
[ "AddGroup.toSubtractionMonoid", "add_neg_cancel", "NegZeroClass.toNeg", "AddMonoidHom.instAddMonoidHomClass", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "AddZero.toZero", "instHAdd", "AddGroup", "AddGroup.toS...
false
Std.TreeMap.getD_filterMap'
Std.Data.TreeMap.Lemmas
[ "Iff.mpr", "congrArg", "Std.TreeMap.getKey_eq", "Std.TreeMap.getKey", "Option.getD", "Option.some", "Membership.mem", "Ordering", "Eq.rec", "Option.bind", "Std.TreeMap.mem_iff_isSome_getElem?", "Std.TreeMap.getD_filterMap", "Std.TransCmp", "Bool.true", "Std.TreeMap.filterMap", "Std.Law...
true
Kronecker.«_aux_Mathlib_LinearAlgebra_Matrix_Kronecker___macroRules_Kronecker_term_⊗ₖₜ__1»
Mathlib.LinearAlgebra.Matrix.Kronecker
[ "Pure.pure", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Syntax.ident", "instMonadExceptOfMonadExceptOf", "String", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.Syntax.atom", "Lean.TSyntax.mk", "Lean.Syntax",...
false
FiberBundleCore.baseSet_at
Mathlib.Topology.FiberBundle.Basic
[ "FiberBundleCore.toTopologicalSpace", "FiberBundleCore.TotalSpace", "FiberBundleCore.proj", "FiberBundleCore.localTriv", "TopologicalSpace", "FiberBundleCore.baseSet", "Bundle.Trivialization.baseSet", "FiberBundleCore", "Eq", "rfl", "Set" ]
true
CategoryTheory.Bimon.toTrivial
Mathlib.CategoryTheory.Monoidal.Bimon_
[ "Inhabited.default", "CategoryTheory.Bimon", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.Bimon.instCategory", "CategoryTheory.Mon.monMonoidal", "CategoryTheory.Comon.uniqueHomToTrivial", "CategoryTheory.Bimon.trivial", "CategoryTheory....
true
Plausible.InjectiveFunction.mk._proof_1
Mathlib.Testing.Plausible.Functions
[ "Preorder.toLE", "List.Perm", "LE.le", "List.Perm.length_eq", "List", "Nat.instPreorder", "Nat", "le_of_eq", "List.length" ]
false
_private.Mathlib.AlgebraicTopology.SimplicialSet.Boundary.0.SSet.stdSimplex.subcomplex_hasDimensionLT_of_neq_top._simp_1_1
Mathlib.AlgebraicTopology.SimplicialSet.Boundary
[ "Set.univ", "Membership.mem", "True", "Set.mem_univ", "eq_true", "Eq", "Set.instMembership", "Set" ]
false
Lean.Expr.getForallBinderNames._f
Lean.Expr
[ "Lean.Expr", "List.cons", "Lean.Expr.forallE", "List", "_private.Lean.Expr.0.Lean.Expr.getForallBody.match_1", "Lean.Name", "Lean.BinderInfo", "Lean.Expr.below", "List.nil" ]
false
Algebra.Generators.reindex._proof_2
Mathlib.RingTheory.Extension.Generators
[ "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "CommRing", "Equiv.instEquivLike", "AlgHom.algHomClass", "MvPolynomial.aeval", "Algebra.algebraMap", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "AddMonoidAlgebra.algebra", "Finsupp.instAddMonoid", "AddMonoidAlgebra.commSemiring...
false
CategoryTheory.AddModObj.ext_iff
Mathlib.CategoryTheory.Monoidal.Mod
[ "CategoryTheory.AddModObj", "CategoryTheory.AddModObj.vadd", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HEq.refl", "CategoryTheory.MonoidalCategory", "CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionObj", "Eq.casesOn", "CategoryTheory.MonoidalCategory.MonoidalLeftAction....
true
Lean.Compiler.LCNF.InferType.Pure.inferAppType
Lean.Compiler.LCNF.InferType
[ "Inhabited.default", "instInhabitedOfMonad", "Lean.Expr", "IO.RealWorld", "Lean.Compiler.LCNF.CompilerM.State", "Lean.Core.CoreM", "StateRefT'", "StateRefT'.instMonad", "Lean.Compiler.LCNF.CompilerM", "Inhabited", "Lean.Core.instMonadCoreM", "instInhabitedReaderT", "Lean.Compiler.LCNF.InferT...
true
DualNumber.lift._proof_13
Mathlib.Algebra.DualNumber
[ "AlgHom.toLinearMap", "NonAssocSemiring.toAddCommMonoidWithOne", "instHSMul", "Semiring.toModule", "HMul.hMul", "IsScalarTower.right", "MulZeroClass.toMul", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AlgHom", "AlgHom.funLike", "DualNumber.lift._proof_12", "AddMonoid.toAddZ...
false
_private.Mathlib.Data.Finsupp.Basic.0.Finsupp.subtypeDomain_eq_iff_forall._simp_1_2
Mathlib.Data.Finsupp.Basic
[ "Subtype.forall", "Subtype", "Subtype.mk", "propext", "Eq" ]
false
SimpleGraph.isBipartiteWith_neighborFinset'
Mathlib.Combinatorics.SimpleGraph.Bipartite
[ "Eq.mpr", "congrArg", "Finset", "SimpleGraph.Adj", "DecidableRel", "SimpleGraph.neighborFinset", "SimpleGraph.IsBipartiteWith.mem_of_mem_adj'", "Finset.ext", "Membership.mem", "SimpleGraph.neighborSet", "Set.Elem", "id", "SimpleGraph.IsBipartiteWith", "SimpleGraph", "And", "Iff", "Si...
true
ContinuousLinearEquiv.strictConvex_image._simp_1
Mathlib.Analysis.Convex.ContinuousLinearEquiv
[ "StrictConvex", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "AddCommGroup.toAddGroup", "AddZeroClass.toAddZero", "PartialOrder", "AddCommGroup", "DistribSMul.toSMulZeroClass", "ContinuousLinearEquiv.equivLike", "Field.toSemifield", "ContinuousL...
false
_private.Lean.LibrarySuggestions.SineQuaNon.0.Lean.LibrarySuggestions.SineQuaNon.sineQuaNonTriggersFor
Lean.LibrarySuggestions.SineQuaNon
[ "Pure.pure", "Lean.NameMap", "List.find?", "Float", "IO.RealWorld", "EIO", "Prod.mk", "_private.Lean.LibrarySuggestions.SineQuaNon.0.Lean.LibrarySuggestions.SineQuaNon.sineQuaNonTriggerMap", "instMonadEIO", "Applicative.toPure", "List", "Option.map", "BEq.beq", "Lean.Core.State", "Lean.C...
true
CategoryTheory.GrothendieckTopology.pseudofunctorOver_toPrelaxFunctor_toPrelaxFunctorStruct_toPrefunctor_obj_α
Mathlib.CategoryTheory.Sites.PseudofunctorSheafOver
[ "CategoryTheory.Over", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.locallyDiscreteBicategory", "CategoryTheory.Pseudofunctor.toPrelaxFunctor", "CategoryTheory.Bicategory.toCategoryStruct", "CategoryTheory.instCategoryOver", "CategoryTheory.Cat", "CategoryThe...
true
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.getKeyD_maxKeyD._simp_1_3
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "Membership.mem", "Bool.true", "Std.DTreeMap.Internal.Impl.contains", "propext", "Bool", "Std.DTreeMap.Internal.Impl.mem_iff_contains", "Eq", "Std.DTreeMap.Internal.Impl", "Std.DTreeMap.Internal.Impl.instMembershipOfOrd" ]
false
_private.Lean.Elab.Import.0.Lean.Elab.parseImports._proof_1
Lean.Elab.Import
[ "String", "LE.le", "String.Pos.Raw", "String.Pos.Raw.le_refl._simp_1", "String.rawEndPos", "String.instLERaw", "of_eq_true" ]
false
to_compactlyCoherentSpace
Mathlib.Topology.Compactness.CompactlyGeneratedSpace
[ "CompactlyCoherentSpace", "Continuous", "CompactlyGeneratedSpace", "CompactSpace", "TopologicalSpace", "Set.preimage", "T2Space", "CompactlyCoherentSpace.of_isOpen_forall_compactSpace", "CompactlyGeneratedSpace.isOpen'", "IsOpen", "Set" ]
true
TopologicalSpace.IrreducibleCloseds.carrier
Mathlib.Topology.Sets.Closeds
[ "TopologicalSpace.IrreducibleCloseds", "TopologicalSpace", "Set" ]
true
ContinuousMultilinearMap.compContinuousLinearMapL._proof_1
Mathlib.Topology.Algebra.Module.Multilinear.Topology
[ "AddCommGroup.toAddCommMonoid", "ContinuousLinearMap.funLike", "ContinuousMultilinearMap.addCommMonoid", "AddCommGroup.toAddGroup", "ContinuousMultilinearMap", "NormedField.toField", "AddCommGroup", "ContinuousMultilinearMap.funLike", "IsTopologicalAddGroup.toContinuousAdd", "Field.toSemifield", ...
false
_private.Mathlib.Topology.UniformSpace.Matrix.0.Matrix.instT0Space._proof_1
Mathlib.Topology.UniformSpace.Matrix
[ "Matrix.instUniformSpace", "UniformSpace", "Pi.topologicalSpace", "Matrix", "Pi.instT0Space", "T0Space", "UniformSpace.toTopologicalSpace" ]
false
Ideal.comap_map_of_surjective
Mathlib.RingTheory.Ideal.Maps
[ "Ideal.mem_image_of_mem_map_of_surjective", "Iff.mpr", "Eq.mpr", "Submodule", "Lattice.toSemilatticeSup", "RingHomClass.toAddMonoidHomClass", "Semiring.toModule", "le_rfl", "map_sub", "Ring.toNonAssocRing", "sub_self", "AddGroupWithOne.toAddGroup", "congrArg", "Submodule.mem_bot", "Submo...
true
Finset.Ioo_pred_left_eq_Ioc
Mathlib.Order.Interval.Finset.SuccPred
[ "Finset.coe_Ico", "Preorder.toLT", "Lattice.toSemilatticeSup", "congrArg", "NoMinOrder", "Finset", "LinearOrder", "PartialOrder.toPreorder", "Order.Ioo_pred_left", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "Finset.Ico", "Finset.coe_Ioo", "Set.Ico", "Finset.coe_injectiv...
true
_private.Init.Data.SInt.Lemmas.0.Int64.le_iff_lt_or_eq._simp_1_1
Init.Data.SInt.Lemmas
[ "Int64.toInt", "Int64.toInt_inj", "Int64", "Int", "propext", "Eq.symm", "Eq" ]
false
_private.Lean.Meta.Tactic.Grind.MBTC.0.Lean.Meta.Grind.ArgInfo._sizeOf_inst
Lean.Meta.Tactic.Grind.MBTC
[ "_private.Lean.Meta.Tactic.Grind.MBTC.0.Lean.Meta.Grind.ArgInfo", "SizeOf.mk", "_private.Lean.Meta.Tactic.Grind.MBTC.0.Lean.Meta.Grind.ArgInfo._sizeOf_1", "SizeOf" ]
false
Lean.Elab.Tactic.instMonadExceptExceptionTacticM
Lean.Elab.Tactic.Basic
[ "Lean.Elab.Tactic.tryCatchRestore", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Lean.Elab.Term.instMonadMacroAdapterTermElabM", "instMonadExceptOfMonadExceptOf", "Lean.MonadError.toMonadExceptOf", "Lean.Meta.State", "Lean.instAddErrorMessageContextOfAddMessageContextOfMonad", "Mon...
true
Function.Surjective.distrib._proof_1
Mathlib.Algebra.Ring.InjSurj
[ "Distrib.leftDistribClass", "HMul.hMul", "Function.Surjective.leftDistribClass", "Mul", "Distrib.toAdd", "instHAdd", "Distrib.toMul", "HAdd.hAdd", "LeftDistribClass", "Distrib", "Eq", "Function.Surjective", "Add", "instHMul" ]
false
_private.Mathlib.RingTheory.Extension.Cotangent.Basis.0.Algebra.Generators.PresentationOfFreeCotangent.Aux.instT
Mathlib.RingTheory.Extension.Cotangent.Basis
[ "Ideal.Quotient.commSemiring", "Nat.instMulZeroClass", "CommRing", "Algebra.Extension.commRing", "Semiring.toModule", "Algebra.Extension.instModuleCotangent", "Algebra.Extension.ker", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "AddMonoidAlgebra.algebra", "_private.Mathlib.RingThe...
true
Metric.IsCover.subset_cthickening
Mathlib.Topology.MetricSpace.Cover
[ "Metric.isCover_iff_subset_cthickening", "PseudoMetricSpace.toUniformSpace", "NNReal", "HasSubset.Subset", "Metric.IsCover", "ProperSpace", "IsClosed", "PseudoMetricSpace", "Iff.mp", "UniformSpace.toTopologicalSpace", "NNReal.toReal", "Metric.cthickening", "Set.instHasSubset", "PseudoMetri...
true
MeasureTheory.Measure.IsAddHaarMeasure.comap
Mathlib.MeasureTheory.Group.Measure
[ "MeasureTheory.Measure.IsAddHaarMeasure.toIsFiniteMeasureOnCompacts", "MeasureTheory.Measure", "AddMonoid.toAddZeroClass", "MeasureTheory.Measure.IsAddHaarMeasure.mk", "MeasureTheory.Measure.IsAddLeftInvariant.comap", "MeasureTheory.IsFiniteMeasureOnCompacts.comap'", "BorelSpace", "AddZeroClass.toAddZ...
true
MeasureTheory.JordanDecomposition.instInvolutiveNeg
Mathlib.MeasureTheory.VectorMeasure.Decomposition.Jordan
[ "MeasureTheory.JordanDecomposition.posPart", "Neg.mk", "MeasureTheory.JordanDecomposition.instInvolutiveNeg._proof_5", "MeasureTheory.JordanDecomposition.negPart_finite", "MeasureTheory.JordanDecomposition.posPart_finite", "MeasureTheory.JordanDecomposition.negPart", "MeasureTheory.JordanDecomposition.i...
true
CategoryTheory.HasRightDual.mk.noConfusion
Mathlib.CategoryTheory.Monoidal.Rigid.Basic
[ "CategoryTheory.HasRightDual.mk", "HEq.refl", "CategoryTheory.HasRightDual", "CategoryTheory.MonoidalCategory", "id", "CategoryTheory.ExactPairing", "heq_of_eq", "Eq.refl", "HEq", "CategoryTheory.HasRightDual.noConfusion", "Eq", "CategoryTheory.Category" ]
false
cfc_ringInverse_id
Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unital
[ "Units.val", "Eq.mpr", "DivisionCommMonoid.toDivisionMonoid", "DivInvOneMonoid.toInvOneClass", "Ring.toNonAssocRing", "congrArg", "cfc", "IsTopologicalSemiring", "ContinuousStar", "ContinuousInv₀", "PseudoMetricSpace.toUniformSpace", "IsUnit", "Algebra", "DivisionMonoid.toDivInvOneMonoid",...
true
AddValuation.toPreorder
Mathlib.RingTheory.Valuation.Basic
[ "Preorder.lift", "PartialOrder.toPreorder", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "AddValuation.instFunLike", "AddValuation", "LinearOrderedAddCommMonoidWithTop", "DFunLike.coe", "Ring", "LinearOrderedAddCommMonoidWithTop.toLinearOrder", "instDistribLatticeOfLinearOrder", ...
true
NonUnitalCommRing.mk._flat_ctor
Mathlib.Algebra.Ring.Defs
[ "Mul.mk", "HMul.hMul", "SubNegMonoid.mk", "Add.mk", "Neg.mk", "AddMonoid.nsmul_zero._autoParam", "HSub.hSub", "AddMonoid.mk", "Sub.mk", "instOfNatNat", "Int", "NonUnitalCommRing", "AddSemigroup.mk", "SubNegMonoid.zsmul_zero'._autoParam", "Nat.cast", "autoParam", "NonUnitalRing.mk", ...
false
HomotopicalAlgebra.BifibrantObject.instCongruenceHomRel
Mathlib.AlgebraicTopology.ModelCategory.BifibrantObjectHomotopy
[ "HomotopicalAlgebra.BifibrantObject", "CategoryTheory.Limits.hasFiniteCoproducts_of_hasFiniteColimits", "HomotopicalAlgebra.BifibrantObject.instIsFibrantObjBifibrantObjects", "HomotopicalAlgebra.ModelCategory.cm1a", "HomotopicalAlgebra.ModelCategory.cm1b", "CategoryTheory.CategoryStruct.toQuiver", "Quiv...
true
CategoryTheory.Limits.IsZero.isInitial
Mathlib.CategoryTheory.Limits.Shapes.ZeroObjects
[ "CategoryTheory.Limits.IsZero.unique_to", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Unique", "Nonempty.some", "CategoryTheory.Limits.IsInitial", "CategoryTheory.Limits.IsInitial.ofUnique", "CategoryTheory.Limits.IsZero", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Ca...
true
_private.Lean.AddDecl.0.Lean.registerNamePrefixes.go._sunfold
Lean.AddDecl
[ "String", "Lean.Environment.registerNamespace", "instDecidableEqBool", "_private.Lean.AddDecl.0.Lean.registerNamePrefixes.match_1", "Bool.true", "_private.Lean.AddDecl.0.Lean.isNamespaceName", "Bool", "Lean.Name", "Eq", "Lean.Environment", "_private.Lean.AddDecl.0.Lean.registerNamePrefixes.go", ...
false
StandardEtalePresentation.toPresentation._proof_3
Mathlib.RingTheory.Etale.StandardEtale
[ "Polynomial.C", "Polynomial.instOne", "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "CommRing", "HMul.hMul", "AlgEquiv.symm", "StandardEtalePresentation.hasMap", "AddMonoidAlgebra.commRing", "CommSemiring.toSemiring", "Ideal.Quotient.mk", "AlgHom", "StandardEtalePresentation.P", "Al...
false
SubringClass.instIsDomainSubtypeMem
Mathlib.Algebra.Ring.Subring.Defs
[ "SetLike", "IsDomain", "SubsemiringClass.nontrivial", "IsDomain.to_noZeroDivisors", "Ring.toNonAssocRing", "Membership.mem", "SubsemiringClass.noZeroDivisors", "Subtype", "SubringClass", "SubringClass.toRing", "IsDomain.toNontrivial", "Semiring.toNonAssocSemiring", "Ring.toSemiring", "NoZe...
true
CategoryTheory.ShortComplex.instMonoFKernelSequence
Mathlib.Algebra.Homology.ShortComplex.Exact
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ShortComplex.X₁", "CategoryTheory.Abelian", "CategoryTheory.Limits.kernel", "inferInstance", "id", "CategoryTheory.Limits.equalizer.ι_mono", "CategoryTheory.Limi...
true
CategoryTheory.MonoidalCategory.tensorμ_natural
Mathlib.CategoryTheory.Monoidal.Braided.Basic
[ "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.MonoidalCategory", "_private.Mathlib.CategoryTheory.Monoidal.Braided.Basic.0.CategoryTheory.MonoidalCategory.tensorμ_natur...
true
CategoryTheory.FreeMonoidalCategory.normalizeIsoApp._sunfold
Mathlib.CategoryTheory.Monoidal.Free.Coherence
[ "CategoryTheory.Functor", "CategoryTheory.MonoidalCategoryStruct.rightUnitor", "CategoryTheory.Functor.category", "Function.comp", "CategoryTheory.MonoidalCategory.whiskerRightIso", "CategoryTheory.Iso.refl", "CategoryTheory.Iso", "CategoryTheory.FreeMonoidalCategory.instMonoidalCategory", "Category...
false
LieAlgebra.zeroRootSubalgebra.congr_simp
Mathlib.Algebra.Lie.Weights.Cartan
[ "LieAlgebra.zeroRootSubalgebra", "CommRing", "LieSubalgebra.instSetLike", "LieRing.IsNilpotent", "Membership.mem", "Eq.rec", "Subtype", "LieSubalgebra.lieRing", "LieRing", "Eq.ndrec", "LieSubalgebra", "Eq.refl", "LieAlgebra", "Eq", "SetLike.instMembership" ]
true
Interval.coe_bot
Mathlib.Order.Interval.Basic
[ "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "PartialOrder", "Bot.bot", "Interval", "SetLike.coe", "Set.instEmptyCollection", "instOrderBotInterval", "EmptyCollection.emptyCollection", "instLEInterval", "Eq", "Interval.setLike", "rfl", "Set" ]
true
Tree.brecOn.eq
Mathlib.Data.Tree.Basic
[ "Tree.node", "Tree.brecOn", "Tree.nil", "Tree.casesOn", "Tree.below", "Tree", "Tree.brecOn.go", "Eq.refl", "Eq" ]
true
_private.Lean.Compiler.LCNF.SimpleGroundExpr.0.Lean.Compiler.LCNF.Decl.detectSimpleGround._sparseCasesOn_3
Lean.Compiler.LCNF.SimpleGroundExpr
[ "Nat.ne_of_beq_eq_false", "Nat.shiftRight", "Lean.Compiler.LCNF.DeclValue.extern", "Nat.hasNotBit", "Lean.Compiler.LCNF.DeclValue.ctorIdx", "instOfNatNat", "Lean.Compiler.LCNF.Purity", "Lean.Compiler.LCNF.Code", "Nat.land", "Nat", "Lean.ExternAttrData", "Bool", "Eq.refl", "Lean.Compiler.LC...
false
lemma
Mathlib.Tactic.Lemma
[ "instOfNatNat", "Lean.ParserDescr.binary", "Lean.ParserDescr", "Lean.ParserDescr.unary", "Lean.ParserDescr.node", "Nat", "Lean.ParserDescr.symbol", "Lean.ParserDescr.const", "OfNat.ofNat", "Lean.Name.mkStr1" ]
true
_private.Mathlib.Topology.Algebra.InfiniteSum.TsumUniformlyOn.0.iteratedDerivWithin_tsum._proof_1_1
Mathlib.Topology.Algebra.InfiniteSum.TsumUniformlyOn
[ "Lean.RArray.leaf", "False", "Classical.byContradiction", "Nat.not_le_eq", "id", "False.casesOn", "instOfNatNat", "LE.le", "instLENat", "Nat.Linear.Expr.num", "Bool.true", "instHAdd", "Nat.Linear.ExprCnstr.eq_false_of_isUnsat", "HAdd.hAdd", "Nat", "Bool", "Lean.Grind.intro_with_eq", ...
false
PerfectClosure.instAddCommGroup._proof_8
Mathlib.FieldTheory.PerfectClosure
[ "RingHom.instRingHomClass", "CommRing", "Nat.Prime", "congrArg", "CommSemiring.toSemiring", "AddMonoid.toAddZeroClass", "AddGroupWithOne.toAddMonoidWithOne", "Nat.instAddMonoid", "RingHom", "PerfectClosure.instMul._proof_1", "Fact", "Distrib.toAdd", "RingHomClass.toMonoidWithZeroHomClass", ...
false
codisjoint_inf_right
Mathlib.Order.Disjoint
[ "Codisjoint", "Lattice.toSemilatticeSup", "congrArg", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "SemilatticeSup.toMax", "DistribLattice.toLattice", "_private.Mathlib.Order.Disjoint.0.codisjoint_inf_right._simp_1_2", "sup_inf_left", "SemilatticeInf.toMin", "Or...
true
Order.Ideal.IsPrime.recOn
Mathlib.Order.PrimeIdeal
[ "Order.Ideal.IsPrime.mk", "Compl.compl", "Order.IsPFilter", "Preorder.toLE", "Order.Ideal.IsPrime", "Set.instCompl", "SetLike.coe", "Order.Ideal.IsPrime.rec", "Order.Ideal.IsProper", "Order.Ideal.instSetLike", "Order.Ideal", "Preorder", "Set" ]
false
Lean.Linter.UnusedVariables.followAliases._unsafe_rec
Lean.Linter.UnusedVariables
[ "Lean.instBEqFVarId", "Lean.Linter.UnusedVariables.followAliases._unsafe_rec", "Membership.mem", "Lean.FVarId", "Std.HashMap", "_private.Lean.Linter.UnusedVariables.0.Lean.Linter.UnusedVariables.followAliases.match_1", "Lean.instHashableFVarId", "Unit", "GetElem?.getElem?", "Std.HashMap.instGetEle...
false
_private.Init.Data.List.Lemmas.0.List.forall_mem_iff_forall_getElem._simp_1_1
Init.Data.List.Lemmas
[ "Membership.mem", "Exists", "GetElem.getElem", "List", "List.instMembership", "Nat", "LT.lt", "propext", "List.mem_iff_getElem", "instLTNat", "List.instGetElemNatLtLength", "Eq", "List.length" ]
false
_private.Lean.Elab.Tactic.Do.ProofMode.MGoal.0.Lean.Elab.Tactic.Do.ProofMode.pushForallContextIntoHyps.go._unsafe_rec
Lean.Elab.Tactic.Do.ProofMode.MGoal
[ "_private.Lean.Elab.Tactic.Do.ProofMode.MGoal.0.Lean.Elab.Tactic.Do.ProofMode.MGoal.findHyp?.go.match_1", "_private.Lean.Elab.Tactic.Do.ProofMode.MGoal.0.Lean.Elab.Tactic.Do.ProofMode.pushForallContextIntoHyps.go.match_5", "_private.Lean.Elab.Tactic.Do.ProofMode.MGoal.0.Lean.Elab.Tactic.Do.ProofMode.pushForallC...
false
εNFA.εClosure_empty
Mathlib.Computability.EpsilonNFA
[ "False", "εNFA.εClosure.rec", "Membership.mem", "Option.none", "Set.eq_empty_of_forall_notMem", "Set.instEmptyCollection", "εNFA.step", "EmptyCollection.emptyCollection", "Eq", "Set.instMembership", "εNFA", "εNFA.εClosure", "Set" ]
true
String.Pos.next_ofSliceFrom
Init.Data.String.Lemmas.Order
[ "String.Pos.next", "String.sliceFrom", "congrArg", "String", "String.Slice.Pos.next", "Ne", "String.Pos.next_ofSliceFrom._proof_1", "True", "String.Pos.ofSliceFrom", "eq_self", "String.endPos", "String.Pos", "of_eq_true", "String.Slice.Pos", "String.Pos.ofSliceFrom_next", "Eq", "Stri...
true
_private.Mathlib.Combinatorics.SimpleGraph.Walk.Decomp.0.SimpleGraph.Walk.dropUntil_eq_drop._proof_1_9
Mathlib.Combinatorics.SimpleGraph.Walk.Decomp
[ "of_eq_false", "False", "eq_false", "SimpleGraph.Adj", "SimpleGraph.Walk.support", "SimpleGraph.Walk", "Membership.mem", "Ne", "SimpleGraph", "SimpleGraph.Walk.cons", "List", "List.instMembership", "Eq.refl", "Lean.Grind.eq_congr'", "Eq", "SimpleGraph.Walk.takeUntil._proof_3", "Eq.tr...
false
_private.Mathlib.Tactic.Linarith.Verification.0.Mathlib.Tactic.Linarith.addExprs'.go._unsafe_rec
Mathlib.Tactic.Linarith.Verification
[ "Lean.Expr.const", "_private.Mathlib.Tactic.Linarith.Verification.0.Mathlib.Tactic.Linarith.addExprs'.go.match_1", "Lean.Expr.sort", "Lean.Level", "List.cons", "List", "Unit", "Qq.Quoted", "Qq.Quoted.unsafeMk", "Lean.Name.mkStr2", "Lean.Expr.app", "_private.Mathlib.Tactic.Linarith.Verification...
false
LeftCancelSemigroup.ext_iff
Mathlib.Algebra.Group.Defs
[ "Semigroup.toMul", "HEq.refl", "LeftCancelSemigroup.toSemigroup", "Eq.casesOn", "LeftCancelSemigroup", "Iff", "Mul.mul", "Iff.intro", "Eq.ndrec", "Eq.refl", "HEq", "Eq.symm", "Eq", "LeftCancelSemigroup.ext" ]
true
Lean.Doc.Parser.role
Lean.DocString.Parser
[ "Inhabited.default", "Lean.Doc.Parser.InlineCtxt", "Lean.Parser.instInhabitedParserFn", "Lean.Parser.ParserFn" ]
true
ContinuousMap.instT0Space
Mathlib.Topology.CompactOpen
[ "Pi.topologicalSpace", "t0Space_of_injective_of_continuous", "ContinuousMap", "Pi.instT0Space", "TopologicalSpace", "ContinuousMap.instContinuousEvalConst", "DFunLike.coe_injective", "T0Space", "continuous_coeFun", "ContinuousMap.compactOpen", "ContinuousMap.instFunLike", "DFunLike.coe" ]
true
_private.Mathlib.Algebra.Polynomial.RuleOfSigns.0.Polynomial.exists_cons_of_leadingCoeff_pos._proof_1_8
Mathlib.Algebra.Polynomial.RuleOfSigns
[ "Int.Linear.eq_of_core", "Polynomial.C", "Int.Linear.not_eq_norm_expr", "Lean.Grind.Linarith.Expr", "Polynomial.leadingCoeff.eq_1", "Lean.Grind.CommRing.le_norm_expr", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "False", "Semiring.toModule", "Polynomial.nextCoeff_of_natDegree_pos", "H...
false
Lean.Elab.Tactic.filterSuggestionsAndLocalsFromSimpConfig
Lean.Elab.Tactic.SimpTrace
[ "instGetElem?OfGetElemOfDecidable", "Pure.pure", "Lean.TSyntax", "bne", "instDecidableTrue", "Lean.Syntax.getId", "Lean.Syntax.getArgs", "Lean.Meta.State", "Lean.TSyntax.mk", "Lean.Syntax", "_private.Lean.Elab.Tactic.SimpTrace.0.Lean.Elab.Tactic.filterSuggestionsAndLocalsFromSimpConfig.match_6",...
true
LinearMap.instDistribMulActionDomMulActOfSMulCommClass
Mathlib.Algebra.Module.LinearMap.Basic
[ "Monoid", "DomMulAct", "LinearMap.instDistribMulActionDomMulActOfSMulCommClass._proof_1", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "RingHom", "AddZeroClass.toAddZero", "DomMulAct.instMonoidOfMulOpposite", "DistribSMul.toSMulZeroClass", "DistribMulAction.mk", "LinearMap.instD...
true
_private.Mathlib.NumberTheory.ArithmeticFunction.Misc.0.ArithmeticFunction.cardDistinctFactors_eq_zero._simp_1_1
Mathlib.NumberTheory.ArithmeticFunction.Misc
[ "Nat.le_one_iff_eq_zero_or_eq_one", "instOfNatNat", "LE.le", "instLENat", "Nat", "propext", "Or", "OfNat.ofNat", "Eq" ]
false
CategoryTheory.ShortComplex.HomologyMapData.instSubsingleton
Mathlib.Algebra.Homology.ShortComplex.Homology
[ "CategoryTheory.ShortComplex.RightHomologyMapData.instSubsingleton", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.ShortComplex.LeftHomologyMapData", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "and_self", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComple...
true
SimpleGraph.Subgraph.Connected
Mathlib.Combinatorics.SimpleGraph.Connectivity.Subgraph
[ "SimpleGraph.Subgraph", "SimpleGraph.Subgraph.Connected.mk", "SimpleGraph" ]
true
Lean.Elab.Tactic.ElabSimpArgsResult.noConfusion
Lean.Elab.Tactic.Simp
[ "Lean.Syntax", "Array", "Lean.Elab.Tactic.ElabSimpArgResult", "Lean.Meta.Simp.SimprocsArray", "Lean.Elab.Tactic.ElabSimpArgsResult.noConfusionType", "Eq.ndrec", "Lean.Meta.Simp.Context", "Eq.refl", "Prod", "Eq", "Lean.Elab.Tactic.ElabSimpArgsResult", "Lean.Elab.Tactic.ElabSimpArgsResult.casesO...
false
Set.IciExtend_self
Mathlib.Order.Interval.Set.ProjIcc
[ "le_rfl", "Set.Ici", "LinearOrder", "PartialOrder.toPreorder", "Membership.mem", "SemilatticeInf.toPartialOrder", "Set.IciExtend", "Set.Elem", "DistribLattice.toLattice", "Subtype.mk", "Set.IciExtend_of_le", "Eq", "Set.instMembership", "instDistribLatticeOfLinearOrder", "Lattice.toSemila...
true
_private.Init.Data.Int.DivMod.Lemmas.0.Int.tdiv_eq_ediv._simp_1_10
Init.Data.Int.DivMod.Lemmas
[ "Nat.instMod", "instHMod", "Int.negSucc_emod_ofNat_succ_eq_zero_iff", "instOfNatNat", "Int", "Nat.cast", "instHAdd", "HMod.hMod", "instOfNat", "HAdd.hAdd", "Nat", "propext", "Int.instAdd", "Int.instMod", "instAddNat", "instNatCastInt", "Int.negSucc", "OfNat.ofNat", "Eq" ]
false
DivisionRing.qsmul_def._autoParam
Mathlib.Algebra.Field.Defs
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
ConcaveOn.lipschitzOnWith_of_abs_le
Mathlib.Analysis.Convex.Continuous
[ "Eq.mpr", "NegZeroClass.toNeg", "NormedCommRing.toSeminormedCommRing", "abs_neg", "Real.partialOrder", "Real.instLE", "Real", "Pi.instNeg", "instHDiv", "Semiring.toModule", "instSMulOfMul", "HMul.hMul", "Real.lattice", "NormedSpace", "Real.instZero", "abs", "congrArg", "NormedAddCo...
true
ComplexShape.hasNoLoop_down
Mathlib.Algebra.Homology.HasNoLoop
[ "IsRightCancelAdd", "One", "ComplexShape.HasNoLoop", "AddZeroClass.toAddZero", "Ne", "AddZero.toZero", "ComplexShape.hasNoLoop_down'", "AddZeroClass", "IsLeftCancelAdd", "One.toOfNat1", "AddZero.toAdd", "Zero.toOfNat0", "ComplexShape.down", "OfNat.ofNat" ]
true
Equiv.equivCongr_refl_right
Mathlib.Logic.Equiv.Defs
[ "Equiv.instEquivLike", "Equiv.equivCongr", "Equiv.trans", "Equiv", "Equiv.symm", "Equiv.refl", "Eq", "DFunLike.coe", "rfl", "EquivLike.toFunLike" ]
true
_private.Mathlib.CategoryTheory.Shift.ShiftedHomOpposite.0.CategoryTheory.ShiftedHom.opEquiv'_add_symm._simp_1_2
Mathlib.CategoryTheory.Shift.ShiftedHomOpposite
[ "CategoryTheory.Functor", "AddMonoid.toAddSemigroup", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.shiftFunctor", "CategoryTheory.Iso", "CategoryTheory.shiftFunctorAdd'", "CategoryTheory.shiftFunctorAdd", "instHAdd", "AddSemigroup.toAdd", "HAdd.hAdd", "AddM...
false
_private.Batteries.Data.List.Lemmas.0.List.getElem_idxsOf_lt._proof_1_13
Batteries.Data.List.Lemmas
[ "Lean.Grind.Nat.lt_eq", "List.getElem_filter_eq_getElem_getElem_findIdxs._proof_2", "instOfNatNat", "LE.le", "instLENat", "List.findIdxs", "List", "instHAdd", "BEq.beq", "HAdd.hAdd", "Nat", "List.filter", "LT.lt", "Eq.substr", "instAddNat", "instLTNat", "OfNat.ofNat", "BEq", "Lis...
false
BoxIntegral.Prepartition.ext
Mathlib.Analysis.BoxIntegral.Partition.Basic
[ "BoxIntegral.Prepartition", "BoxIntegral.Prepartition.injective_boxes", "Finset.ext", "Membership.mem", "BoxIntegral.Prepartition.boxes", "Iff", "Eq", "BoxIntegral.Box", "BoxIntegral.Prepartition.instMembershipBox" ]
true
CategoryTheory.HasShift.noConfusionType
Mathlib.CategoryTheory.Shift.Basic
[ "CategoryTheory.HasShift.shiftMonoidal._autoParam", "CategoryTheory.Functor", "CategoryTheory.Functor.category", "autoParam", "CategoryTheory.discreteCategory", "CategoryTheory.HasShift.casesOn", "CategoryTheory.endofunctorMonoidalCategory", "AddMonoid", "HEq", "CategoryTheory.Functor.Monoidal", ...
false
CategoryTheory.WithTerminal.starIsoTerminal
Mathlib.CategoryTheory.WithTerminal.Basic
[ "CategoryTheory.Limits.IsTerminal.uniqueUpToIso", "CategoryTheory.WithTerminal.starTerminal", "CategoryTheory.Iso", "CategoryTheory.WithTerminal", "CategoryTheory.Limits.terminal", "CategoryTheory.WithTerminal.instHasTerminal", "CategoryTheory.WithTerminal.star", "CategoryTheory.Limits.terminalIsTermi...
true
_private.Mathlib.Algebra.Group.Pointwise.Finset.Basic.0.Finset.card_le_card_add_right.match_1_1
Mathlib.Algebra.Group.Pointwise.Finset.Basic
[ "Finset", "Membership.mem", "Exists.casesOn", "Finset.instSetLike", "Exists.intro", "Finset.Nonempty", "SetLike.instMembership" ]
false
TypeVec.dropFun_splitFun
Mathlib.Data.TypeVec
[ "TypeVec.last", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "instAddNat", "OfNat.ofNat", "TypeVec.drop", "TypeVec.Arrow", "Eq", "TypeVec.splitFun", "rfl", "TypeVec.dropFun", "TypeVec" ]
true
fderivWithin_fun_add
Mathlib.Analysis.Calculus.FDeriv.Add
[ "NormedSpace", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "UniqueDiffWithinAt", "NormedField.toField", "ContinuousLinearMap.add", "IsTopologicalAddGroup.toContinuousAdd", "Field.toSemifield", "ContinuousLinearMap", "fd...
true
Con.congr._proof_2
Mathlib.GroupTheory.Congruence.Basic
[ "HMul.hMul", "Quot.ind", "Mul", "Con.congr._proof_1", "Equiv.toFun", "Con.Quotient", "Con.hasMul", "Quotient", "Con.toSetoid", "Quotient.congr", "Eq.refl", "Con", "Equiv.refl", "Eq", "Setoid.r", "Quot.mk", "instHMul" ]
false