name
stringlengths
2
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2 classes
_private.Lean.Meta.Tactic.Simp.BuiltinSimprocs.Nat.0._regBuiltin.Nat.reduceAnd.declare_56._@.Lean.Meta.Tactic.Simp.BuiltinSimprocs.Nat.1489869653._hygCtx._hyg.19
Lean.Meta.Tactic.Simp.BuiltinSimprocs.Nat
[ "IO", "Lean.Meta.DiscrTree.Key.star", "Lean.Meta.DiscrTree.Key", "instOfNatNat", "List.toArray", "List.cons", "Unit", "Nat", "Lean.Meta.Simp.registerBuiltinDSimproc", "Lean.Name.mkStr2", "OfNat.ofNat", "Lean.Name.mkStr1", "Lean.Meta.DiscrTree.Key.const", "Nat.reduceAnd", "List.nil" ]
false
Lean.Meta.RecursorUnivLevelPos.majorType.injEq
Lean.Meta.RecursorInfo
[ "Eq.propIntro", "Lean.Meta.RecursorUnivLevelPos", "Lean.Meta.RecursorUnivLevelPos.majorType.inj", "Nat", "Lean.Meta.RecursorUnivLevelPos.majorType", "Eq.ndrec", "Eq.refl", "Eq" ]
true
StarAlgHom.copy._proof_3
Mathlib.Algebra.Star.StarAlgHom
[ "NonAssocSemiring.toAddCommMonoidWithOne", "AddMonoid.toAddZeroClass", "Algebra", "Eq.rec", "AddZeroClass.toAddZero", "StarAlgHom.instFunLike", "map_zero", "RingHomClass.toMonoidWithZeroHomClass", "NonAssocSemiring.toMulZeroOneClass", "AddCommMonoidWithOne.toAddMonoidWithOne", "StarAlgHom", "C...
false
Lean.Elab.Term.Do.Code.reassign.inj
Lean.Elab.Do.Legacy
[ "Lean.Elab.Term.Do.Code.reassign", "Lean.Syntax", "Lean.Elab.Term.Do.Var", "Array", "And", "Lean.Elab.Term.Do.Code.reassign.noConfusion", "And.intro", "Lean.Elab.Term.Do.Code", "Eq" ]
true
Std.DTreeMap.Internal.Impl.ExplorationStep.lt.injEq
Std.Data.DTreeMap.Internal.Model
[ "Ord", "Eq.propIntro", "Lean.injEq_helper", "Std.DTreeMap.Internal.Impl.ExplorationStep.lt", "Ordering", "HEq.homo_ndrec", "Std.DTreeMap.Internal.Impl.ExplorationStep", "List", "And", "Ordering.lt", "Std.DTreeMap.Internal.Impl.ExplorationStep.lt.inj", "Eq.ndrec", "Eq.refl", "HEq", "Eq", ...
true
IsOrderedAddMonoid.toIsOrderedCancelAddMonoid
Mathlib.Algebra.Order.Group.Defs
[ "NegZeroClass.toNeg", "congrArg", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "Preorder.toLE", "AddCommGroup.toAddGroup", "AddZeroClass.toAddZero", "AddCommGroup", "Eq.mp", "IsOrderedCancelAddMonoid.mk", "SubtractionMonoid.toSubNegZeroMonoid", "add_le_add_right", "LE.le", "...
true
Std.Format.nest.elim
Init.Data.Format.Basic
[ "PULift.up", "Std.Format.ctorIdx", "Int", "Nat", "Std.Format", "Std.Format.ctorElim", "Eq.symm", "Eq", "Std.Format.nest" ]
false
Denumerable.ofEncodableOfInfinite._proof_1
Mathlib.Logic.Denumerable
[ "Infinite.of_injective", "Equiv.instEquivLike", "Set.Elem", "Encodable.encode_injective", "Equiv", "Equiv.ofInjective", "Nat", "Encodable.encode", "Equiv.injective", "Infinite", "Set.range", "DFunLike.coe", "Encodable", "EquivLike.toFunLike" ]
false
Std.DTreeMap.Raw.partition.eq_1
Std.Data.DTreeMap.Raw.WF
[ "Ordering", "instDecidableEqBool", "Prod.mk", "Std.DTreeMap.Raw.partition", "Bool.true", "Std.DTreeMap.Raw.partition.match_1", "Bool", "Eq.refl", "Std.DTreeMap.Raw.instEmptyCollection", "Std.DTreeMap.Raw.insert", "EmptyCollection.emptyCollection", "Prod", "Std.DTreeMap.Raw.foldl", "Eq", ...
true
InnerProductSpace.gramSchmidt_ne_zero_coe
Mathlib.Analysis.InnerProductSpace.GramSchmidtOrtho
[ "Norm.norm", "Eq.mpr", "InnerProductSpace.toNormedSpace", "Submodule", "complete_of_proper", "le_refl", "False", "Real", "instHSMul", "Preorder.toLT", "instHDiv", "Submodule.starProjection_singleton", "Submodule.HasOrthogonalProjection.ofCompleteSpace", "Inner.inner", "Submodule.starProj...
true
Affine.Simplex.circumcenter_eq_affineCombination_of_pointsWithCircumcenter
Mathlib.Geometry.Euclidean.Circumcenter
[ "Finset.mem_univ", "Eq.mpr", "Pi.Function.module", "InnerProductSpace.toNormedSpace", "Real", "Semiring.toModule", "AffineMap.instFunLike", "Affine.Simplex.pointsWithCircumcenter", "Finset.univ", "Real.instRCLike", "congrArg", "Finset", "NormedSpace.toModule", "Finset.affineCombination_of_...
true
cfcₙ_neg
Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.NonUnital
[ "Nontrivial", "IsSemitopologicalRing.toIsTopologicalAddGroup", "cfcₙ", "Eq.mpr", "NegZeroClass.toNeg", "ContinuousOn.neg", "CommRing", "MonoidHom.instFunLike", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass", "Semiring.toModule", "inst...
true
Set.notMem_of_notMem_sUnion
Mathlib.Data.Set.Lattice
[ "Set.sUnion", "Membership.mem", "And", "And.intro", "Exists.intro", "Set.instMembership", "Not", "Set" ]
true
CategoryTheory.Limits.HasCountableLimits.recOn
Mathlib.CategoryTheory.Limits.Shapes.Countable
[ "CategoryTheory.Limits.HasLimitsOfShape", "CategoryTheory.SmallCategory", "CategoryTheory.Limits.HasCountableLimits", "CategoryTheory.Limits.HasCountableLimits.mk", "CategoryTheory.CountableCategory", "CategoryTheory.Category", "CategoryTheory.Limits.HasCountableLimits.rec" ]
false
USize.and_le_left
Init.Data.UInt.Bitwise
[ "Eq.mpr", "Nat.instAndOp", "congrArg", "instLEUSize", "instAndOpUSize", "Nat.and_le_left", "id", "LE.le", "instLENat", "_private.Init.Data.UInt.Bitwise.0.USize.and_le_left._simp_1_1", "USize.toNat", "Nat", "congrFun'", "HAnd.hAnd", "Eq", "USize.toNat_and", "instHAndOfAndOp", "Eq.tr...
true
Cycle.support_formPerm
Mathlib.GroupTheory.Perm.Cycle.Concrete
[ "Equiv.Perm.support", "Nat.not_ofNat_le_one._simp_1", "False", "Nat.instIsOrderedAddMonoid", "congrArg", "List.IsRotated.setoid", "Finset", "False.elim", "AddMonoid.toAddZeroClass", "Nat.instAtLeastTwoHAddOfNat", "Nat.instZeroLEOneClass", "Quot.ind", "Nat.instAddMonoid", "Nat.instCharZero"...
true
right_iff_ite_iff
Init.PropLemmas
[ "Eq.mpr", "False", "Decidable.casesOn", "eq_false", "congrArg", "instInhabitedTrue", "Decidable", "eq_iff_iff._simp_1", "id", "if_pos", "false_implies", "iff_self", "Iff", "instNonemptyOfInhabited", "forall_const._simp_1", "congr", "True", "eq_true", "of_eq_true", "congrFun'", ...
true
CategoryTheory.TwistShiftData.z_zero_right
Mathlib.CategoryTheory.Shift.Twist
[ "MulOne.toOne", "CategoryTheory.TwistShiftData.z_zero_zero", "CategoryTheory.Functor", "CategoryTheory.CatCenter", "HMul.hMul", "AddMonoid.toAddSemigroup", "Monoid.toMulOneClass", "congrArg", "CancelMonoid.toLeftCancelMonoid", "AddMonoid.toAddZeroClass", "CategoryTheory.Functor.category", "Cat...
true
exists_smooth_forall_mem_convex_of_local_const
Mathlib.Geometry.Manifold.PartitionOfUnity
[ "Real.partialOrder", "Real", "chartedSpaceSelf", "NormedSpace", "Real.denselyNormedField", "instTopENat", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "Filter.Eventually", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "AddCommGro...
true
isPreconnected_iff_subset_of_fully_disjoint_closed
Mathlib.Topology.Connected.Clopen
[ "Eq.mpr", "Set.inter_inter_distrib_right", "and_true", "CompleteBooleanAlgebra.toCompleteDistribLattice", "congrArg", "Set.subset_inter_iff", "PartialOrder.toPreorder", "Preorder.toLE", "Disjoint", "SemilatticeInf.toPartialOrder", "isPreconnected_iff_subset_of_disjoint_closed", "CompleteLattic...
true
Submodule.rank_quotient_add_rank
Mathlib.LinearAlgebra.Dimension.RankNullity
[ "Submodule", "Submodule.Quotient.addCommMonoid", "Cardinal", "AddCommGroup.toAddCommMonoid", "Submodule.addCommMonoid", "Submodule.hasQuotient", "Membership.mem", "AddCommGroup", "Subtype", "Submodule.module", "Submodule.Quotient.module", "Cardinal.instAdd", "HasRankNullity.rank_quotient_add...
true
FundamentalGroup.map
Mathlib.AlgebraicTopology.FundamentalGroupoid.FundamentalGroup
[ "MonoidHom", "Monoid.toMulOneClass", "ContinuousMap", "instGroupFundamentalGroup", "CategoryTheory.Functor.mapEnd", "DivInvMonoid.toMonoid", "FundamentalGroupoid.map", "Group.toDivInvMonoid", "TopologicalSpace", "MulOneClass.toMulOne", "FundamentalGroupoid", "FundamentalGroupoid.mk", "Fundam...
true
_private.Mathlib.Topology.MetricSpace.Thickening.0.Metric.eventually_notMem_cthickening_of_infEDist_pos._simp_1_2
Mathlib.Topology.MetricSpace.Thickening
[ "not_le", "Preorder.toLT", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "LE.le", "LT.lt", "propext", "LinearOrder.toPartialOrder", "Eq", "Not" ]
false
Lean.Meta.Grind.MBTC.Context.mk.noConfusion
Lean.Meta.Tactic.Grind.MBTC
[ "Lean.Meta.Grind.MBTC.Context", "Lean.Meta.Grind.MBTC.Context.mk", "Lean.Expr", "id", "Bool", "Eq", "Lean.Meta.Grind.GoalM", "Lean.Meta.Grind.MBTC.Context.noConfusion" ]
false
Submonoid.LocalizationMap.mk'_eq_zero_iff
Mathlib.GroupTheory.MonoidLocalization.MonoidWithZero
[ "CommMonoidWithZero.toCommMonoid", "Eq.mpr", "HMul.hMul", "MulZeroClass.toMul", "Monoid.toMulOneClass", "congrArg", "Submonoid.LocalizationMap.mk'", "MulZeroClass.zero_mul", "Iff.rfl", "Membership.mem", "Exists", "id", "MulOne.toMul", "Subtype", "CommMonoidWithZero.toMonoidWithZero", "...
true
_private.Mathlib.RingTheory.Ideal.Operations.0.Submodule.smul_le_span._simp_1_1
Mathlib.RingTheory.Ideal.Operations
[ "instHSMul", "Semiring.toModule", "CommSemiring.toSemiring", "Submodule.instTop", "Ideal", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "Semiring.toMonoid", "HSMul.hSMul", "Ideal.span", "Module.toDistribMulAction", "Submodule.po...
false
Encodable.chooseX.match_1
Mathlib.Logic.Encodable.Basic
[ "Exists", "Exists.casesOn", "Exists.intro" ]
false
_private.Mathlib.Combinatorics.SimpleGraph.Prod.0.SimpleGraph.reachable_boxProd.match_1_3
Mathlib.Combinatorics.SimpleGraph.Prod
[ "SimpleGraph.Walk", "Nonempty.intro", "Prod.fst", "And.casesOn", "SimpleGraph", "And", "Nonempty.casesOn", "And.intro", "Prod", "Prod.snd", "SimpleGraph.Reachable" ]
false
PrimeSpectrum.BasicConstructibleSetData.recOn
Mathlib.RingTheory.Spectrum.Prime.ConstructibleSet
[ "PrimeSpectrum.BasicConstructibleSetData", "PrimeSpectrum.BasicConstructibleSetData.mk", "PrimeSpectrum.BasicConstructibleSetData.rec", "Nat", "Fin" ]
false
PolynomialLaw.toFun'_eq_of_inclusion
Mathlib.RingTheory.PolynomialLaw.Basic
[ "Subalgebra.instSetLike", "AlgHom.toLinearMap", "CommSemiring.toSemiring", "PolynomialLaw.toFun'_eq_of_diagram", "AlgHom", "TensorProduct.addCommMonoid", "AlgHom.rangeRestrict", "PartialOrder.toPreorder", "Subalgebra.val", "LinearMap.instFunLike", "AlgHom.id", "Algebra", "Preorder.toLE", "...
true
List.SublistForall₂.recOn
Mathlib.Data.List.Forall2
[ "List.SublistForall₂.rec", "List.SublistForall₂.cons", "List.SublistForall₂", "List.cons", "List", "List.SublistForall₂.nil", "List.SublistForall₂.cons_right", "List.nil" ]
false
DistribMulActionHom.instCoeTCOfAddDistribAddActionSemiHomClassCoeAddMonoidHom.eq_1
Mathlib.GroupTheory.GroupAction.Hom
[ "Monoid", "DistribMulActionSemiHomClass", "MonoidHom.instFunLike", "CoeTC", "MonoidHom", "Monoid.toMulOneClass", "DistribMulActionHom", "DistribMulActionSemiHomClass.toDistribMulActionHom", "DistribMulActionHom.instCoeTCOfAddDistribAddActionSemiHomClassCoeAddMonoidHom", "MulOneClass.toMulOne", "...
true
Monoid.PushoutI.NormalWord.head
Mathlib.GroupTheory.PushoutI
[ "MonoidHom", "Monoid.toMulOneClass", "Group", "DivInvMonoid.toMonoid", "Group.toDivInvMonoid", "MulOneClass.toMulOne", "Monoid.PushoutI.NormalWord", "Monoid.PushoutI.NormalWord.Transversal" ]
true
Std.Time.TimeZone.instInhabitedUTLocal.default
Std.Time.Zoned.ZoneRules
[ "Std.Time.TimeZone.UTLocal", "Std.Time.TimeZone.UTLocal.ut" ]
true
Lean.Lsp.DidCloseTextDocumentParams
Lean.Data.Lsp.TextSync
[ "Lean.Lsp.DidCloseTextDocumentParams.mk" ]
true
_private.Mathlib.Topology.UniformSpace.UniformConvergence.0.tendstoUniformlyOn_singleton_iff_tendsto._simp_1_3
Mathlib.Topology.UniformSpace.UniformConvergence
[ "Filter.instMembership", "Filter.tendsto_def", "Membership.mem", "Set.preimage", "Filter.Tendsto", "propext", "Eq", "Filter", "Set" ]
false
_private.Lean.Data.FuzzyMatching.0.Lean.FuzzyMatching.Score.mk.sizeOf_spec
Lean.Data.FuzzyMatching
[ "Int16", "_private.Lean.Data.FuzzyMatching.0.Lean.FuzzyMatching.Score.mk", "_private.Lean.Data.FuzzyMatching.0.Lean.FuzzyMatching.Score._sizeOf_inst", "instOfNatNat", "instHAdd", "Int16._sizeOf_inst", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "_private.Lean.Data.FuzzyMatchi...
true
_private.Mathlib.RingTheory.IntegralClosure.IntegrallyClosed.0.Associated.pow_iff._simp_1_1
Mathlib.RingTheory.IntegralClosure.IntegrallyClosed
[ "Dvd.dvd", "MulZeroClass.toMul", "semigroupDvd", "SemigroupWithZero.toSemigroup", "IsLeftCancelMulZero", "MonoidWithZero.toSemigroupWithZero", "And", "MonoidWithZero", "Associated", "MonoidWithZero.toMulZeroOneClass", "dvd_dvd_iff_associated", "propext", "MulZeroOneClass.toMulZeroClass", "...
false
LibraryNote.norm_num_lemma_function_equality
Mathlib.Tactic.NormNum.Basic
[ "Inhabited.default", "Batteries.Util.instInhabitedLibraryNote", "Batteries.Util.LibraryNote" ]
true
AffineSubspace.instCompleteLattice._proof_2
Mathlib.LinearAlgebra.AffineSpace.AffineSubspace.Defs
[ "Set.Subset.trans", "AddCommGroup.toAddCommMonoid", "AddCommGroup.toAddGroup", "Set.instUnion", "AddCommGroup", "HasSubset.Subset", "AffineSubspace.instSetLike", "Set.subset_union_left", "affineSpan", "SetLike.coe", "AddTorsor", "Union.union", "Module", "Ring.toSemiring", "subset_spanPoi...
false
padicNormE.defn
Mathlib.NumberTheory.Padics.PadicNumbers
[ "padicNorm.instIsAbsoluteValueRat", "Mathlib.Tactic.Push.not_forall_eq", "Mathlib.Tactic.Push.not_exists._simp_1", "NormedCommRing.toNormedRing", "Rat.instOfNat", "Eq.mpr", "Padic.mk", "False", "Nat.Prime", "Preorder.toLT", "NormedRing.toRing", "le_rfl", "padicNormE", "CauSeq.cauchy₂", "...
true
Lean.Grind.CommRing.Expr.denote_toPoly
Init.Grind.Ring.CommSolver
[ "Lean.Grind.CommRing.Poly.denote_mulConst", "Lean.Grind.CommRing.Expr.toPoly", "instPowNat", "Lean.Grind.Semiring.one_mul", "Int.cast", "Eq.mpr", "Lean.Grind.CommRing.Poly.denote_ofVar", "False", "Lean.Grind.Ring.intCast_natCast", "Lean.Grind.CommRing.Mon.mult", "Lean.Grind.CommRing.Poly", "Le...
true
Lean.Meta.Grind.Arith.Linear.EqCnstrProof.coreCommRing.injEq
Lean.Meta.Tactic.Grind.Arith.Linear.Types
[ "Lean.Meta.Grind.Arith.Linear.LinExpr", "Lean.Grind.CommRing.Poly", "Lean.Grind.CommRing.Expr", "Eq.propIntro", "Lean.injEq_helper", "Lean.Expr", "And", "Lean.Meta.Grind.Arith.Linear.EqCnstrProof.coreCommRing.inj", "Lean.Meta.Grind.Arith.Linear.EqCnstrProof", "Lean.Meta.Grind.Arith.Linear.EqCnstrP...
true
Complex.HadamardThreeLines.sSupNormIm
Mathlib.Analysis.Complex.Hadamard
[ "Norm.norm", "Real", "Function.comp", "Real.instSupSet", "Set.instSingletonSet", "Complex.re", "Set.preimage", "NormedAddCommGroup.toNorm", "Set.image", "Complex", "Singleton.singleton", "SupSet.sSup", "NormedAddCommGroup", "Set" ]
true
NonUnitalSubalgebra.toNonUnitalSubsemiring'._proof_2
Mathlib.Algebra.Algebra.NonUnitalSubalgebra
[ "NonUnitalSubalgebra", "CommSemiring.toSemiring", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "NonUnitalSubalgebra.toNonUnitalSubsemiring", "NonUnitalSubalgebra.ext", "NonUnitalSubalgebra.toNonUnitalSubsemiring'._proof_1", "NonUnitalSubsemiring", "Module", "NonUnitalNonAssocSemiri...
false
_private.Lean.Compiler.LCNF.ToMono.0.Lean.Compiler.LCNF.LetValue.toMono.match_3
Lean.Compiler.LCNF.ToMono
[ "_private.Lean.Compiler.LCNF.ToMono.0.Lean.Compiler.LCNF.LetValue.toMono._sparseCasesOn_4", "Lean.Compiler.LCNF.Arg", "_private.Lean.Compiler.LCNF.ToMono.0.Lean.Compiler.LCNF.LetValue.toMono._sparseCasesOn_6", "Lean.Compiler.LCNF.LetDecl.mk", "HEq.refl", "Lean.Compiler.LCNF.LetValue", "Lean.Compiler.LCN...
false
FirstOrder.Language.orderLHom_onRelation
Mathlib.ModelTheory.Order
[ "FirstOrder.Language.LHom.onRelation", "FirstOrder.Language.orderLHom", "FirstOrder.Language.IsOrdered.leSymb", "FirstOrder.Language.orderLHom.match_1", "Unit", "Nat", "FirstOrder.Language.Relations", "FirstOrder.Language.order", "FirstOrder.Language.IsOrdered", "Eq.refl", "FirstOrder.Language",...
true
_private.Mathlib.Data.Fin.Tuple.Basic.0.Fin.findX._proof_13
Mathlib.Data.Fin.Tuple.Basic
[ "Lean.Grind.intro_with_eq'", "Lean.Grind.eq_false_of_not_eq_true", "Int.Linear.eq_of_core", "of_eq_false", "Lean.Grind.CommRing.le_norm_expr", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "False", "Lean.Grind.not_not", "HMul.hMul", "Lean.Grind.CommRing.Expr.mul", "Int.Linear.norm_le", ...
false
CategoryTheory.Limits.Cofork.ofCocone
Mathlib.CategoryTheory.Limits.Shapes.Equalizers
[ "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.eqToHom", "CategoryTheory.Functor.category", "CategoryTheory.Limits.WalkingParallelPair.one", "CategoryTheory.Limits.walkingParallelPairHomCategory", "CategoryTheory.Limits.Cocone.mk"...
true
CategoryTheory.Ind.yoneda.fullyFaithful
Mathlib.CategoryTheory.Limits.Indization.Category
[ "CategoryTheory.Ind", "CategoryTheory.instFullIndYoneda", "CategoryTheory.instFaithfulIndYoneda", "CategoryTheory.Ind.yoneda", "CategoryTheory.instCategoryInd", "CategoryTheory.Functor.FullyFaithful.ofFullyFaithful", "CategoryTheory.Functor.FullyFaithful", "CategoryTheory.Category" ]
true
UniformConvergenceCLM.sub_apply
Mathlib.Topology.Algebra.Module.Spaces.UniformConvergenceCLM
[ "UniformConvergenceCLM.instAddCommGroup", "AddCommGroup.toAddCommMonoid", "HSub.hSub", "AddCommGroup.toAddGroup", "RingHom", "NormedField.toField", "AddCommGroup", "UniformConvergenceCLM.instFunLike", "Field.toSemifield", "NormedField", "SubNegMonoid.toSub", "TopologicalSpace", "instHSub", ...
true
_private.Std.Data.DHashMap.Basic.0.Std.DHashMap.Const.insertManyIfNewUnit._proof_2
Std.Data.DHashMap.Basic
[ "Std.DHashMap.Raw.WF", "Std.DHashMap.Raw", "Std.DHashMap.wf", "instOfNatNat", "Std.DHashMap.Raw.WF.size_buckets_pos", "Id", "Subtype.mk", "Unit", "Std.DHashMap.Internal.Raw₀.Const.insertManyIfNewUnit", "Std.DHashMap.inner", "ForIn", "Nat", "Std.DHashMap.Raw.buckets", "LT.lt", "Std.DHashM...
false
Std.Sat.AIG.toGraphviz.toGraphvizString.match_1
Std.Sat.AIG.Basic
[ "Std.Sat.AIG.Decl.casesOn", "Unit.unit", "Std.Sat.AIG.Decl", "Unit", "Std.Sat.AIG.Decl.gate", "Std.Sat.AIG.Decl.atom", "Std.Sat.AIG.Decl.false", "Std.Sat.AIG.Fanin" ]
false
Int.dvd_zero._simp_1
Init.Data.Int.DivMod.Bootstrap
[ "Dvd.dvd", "Int.dvd_zero", "Int", "Int.instDvd", "instOfNat", "True", "eq_true", "OfNat.ofNat", "Eq" ]
false
_private.Std.Sat.AIG.CNF.0.Std.Sat.AIG.toCNF._proof_23
Std.Sat.AIG.CNF
[ "Std.Sat.AIG.Decl", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some",...
false
ProbabilityTheory.IsMeasurableRatCDF.measurable_stieltjesFunction
Mathlib.Probability.Kernel.Disintegration.MeasurableStieltjes
[ "Eq.mpr", "Real", "iInf", "congrArg", "Real.instRatCast", "Rat", "Measurable", "PseudoMetricSpace.toUniformSpace", "Real.instLT", "StieltjesFunction.iInf_rat_gt_eq", "Eq.rec", "StieltjesFunction.toFun", "InfSet", "id", "Subtype", "Rat.cast", "Subtype.countable", "instOrderTopologyR...
true
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.get_insertIfNew._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.Init.Data.Format.Basic.0.Std.Format.WorkGroup.fla
Init.Data.Format.Basic
[ "Std.Format.FlattenAllowability", "_private.Init.Data.Format.Basic.0.Std.Format.WorkGroup" ]
true
String.codepointPosToUtf8PosFrom
Lean.Data.Lsp.Utf16
[ "String", "String.codepointPosToUtf8PosFrom._f", "Nat.brecOn", "String.Pos.Raw", "Nat" ]
true
CategoryTheory.Subfunctor.Subpresheaf.image_iSup
Mathlib.CategoryTheory.Subfunctor.Image
[ "CategoryTheory.Subfunctor.image", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "iSup", "CategoryTheory.Functor.category", "CategoryTheory.instCompleteLatticeSubfunctor", "CategoryTheory.Subfunctor", "CategoryTheory.types", "CategoryTheory.Subfunctor.image_iSup...
true
Holor.cprankMax_1
Mathlib.Data.Holor
[ "AddMonoid.toAddSemigroup", "congrArg", "Holor.CPRankMax1", "AddMonoid.toAddZeroClass", "Nat.instAddMonoid", "Mul", "AddZeroClass.toAddZero", "Eq.mp", "instOfNatNat", "Holor.instZero", "zero_add", "Holor.instAdd", "AddZero.toZero", "Holor.CPRankMax", "Holor.CPRankMax.zero", "List", "...
true
Set.op_smul_set_mul_eq_mul_smul_set
Mathlib.Algebra.Group.Action.Pointwise.Set.Basic
[ "Semigroup", "Semigroup.toMul", "instHSMul", "instSMulOfMul", "HMul.hMul", "Mul.toSMulMulOpposite", "Set.op_smul_set_smul_eq_smul_smul_set", "MulOpposite", "mul_assoc", "MulOpposite.unop", "HSMul.hSMul", "Set.mul", "Eq", "Set.smulSet", "MulOpposite.op", "instHMul", "Set" ]
true
_private.Mathlib.ModelTheory.Arithmetic.Presburger.Semilinear.Basic.0.IsProperLinearSet.add_floor_neg_toNat_sum_eq
Mathlib.ModelTheory.Arithmetic.Presburger.Semilinear.Basic
[ "Eq.mpr", "Nat.instCanonicallyOrderedAdd", "Nat.instOrderedSub", "instHSMul", "Pi.preorder", "Nat.instIsOrderedAddMonoid", "Pi.addCommMonoid", "Finset.univ", "congrArg", "Finite", "IsProperLinearSet", "_private.Mathlib.ModelTheory.Arithmetic.Presburger.Semilinear.Basic.0.IsProperLinearSet.basi...
true
Concept.ofIsIntent._proof_1
Mathlib.Order.Concept
[ "lowerPolar", "Eq", "rfl", "Set" ]
false
CategoryTheory.IsFiltered.isConnected
Mathlib.CategoryTheory.Filtered.Connected
[ "CategoryTheory.IsPreconnected", "CategoryTheory.IsFilteredOrEmpty.isPreconnected", "CategoryTheory.IsFiltered.toIsFilteredOrEmpty", "CategoryTheory.IsConnected.mk", "CategoryTheory.IsFiltered.nonempty", "CategoryTheory.IsConnected", "CategoryTheory.IsFiltered", "CategoryTheory.Category" ]
true
isClopen_iInter
Mathlib.Topology.AlexandrovDiscrete
[ "Set.iInter", "IsClosed", "TopologicalSpace", "AlexandrovDiscrete", "And.right", "And.left", "isOpen_iInter", "And.intro", "IsOpen", "IsClopen", "isClosed_iInter", "Set" ]
true
_private.Lean.PrettyPrinter.Delaborator.Builtins.0.Lean.PrettyPrinter.Delaborator.delabOfNatCore._sparseCasesOn_1
Lean.PrettyPrinter.Delaborator.Builtins
[ "Nat.ne_of_beq_eq_false", "Lean.Expr.const", "Lean.Expr.letE", "Lean.Expr.mvar", "Nat.shiftRight", "Lean.MVarId", "Lean.Expr", "Lean.FVarId", "Nat.hasNotBit", "instOfNatNat", "Lean.Expr.sort", "Lean.Expr.bvar", "Lean.Level", "Lean.Literal", "Lean.Expr.mdata", "Lean.Expr.fvar", "Lean....
false
matrixEquivTensor._proof_2
Mathlib.RingTheory.MatrixAlgebra
[ "Semiring.toModule", "Equiv.right_inv", "Matrix.module", "CommSemiring.toSemiring", "Matrix", "Algebra", "Algebra.toModule", "Matrix.addCommMonoid", "Equiv.toFun", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "Fintype", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "Funct...
false
BitVec.mul_succ
Init.Data.BitVec.Lemmas
[ "HMul.hMul", "congrArg", "BitVec.instAdd", "BitVec", "instOfNatNat", "BitVec.ofNat", "instHAdd", "HAdd.hAdd", "Nat", "True", "eq_self", "BitVec.mul_add", "of_eq_true", "congrFun'", "OfNat.ofNat", "Eq", "BitVec.instMul", "Eq.trans", "BitVec.mul_one", "instHMul" ]
true
Equiv.IicFinsetSet._proof_2
Mathlib.Order.Interval.Finset.Basic
[ "Iff.mpr", "Function.LeftInverse", "Finset.coe_Iic", "Finset", "Membership.mem", "LocallyFiniteOrderBot", "Eq.rec", "Set.Elem", "Subtype", "Equiv.IicFinsetSet._proof_1", "Subtype.mk", "SetLike.coe", "Finset.instSetLike", "Finset.Iic", "Eq.refl", "Set.Iic", "Subtype.val", "Eq", "S...
false
nhdsWithin_extChartAt_target_eq_of_mem
Mathlib.Geometry.Manifold.IsManifold.ExtChartAt
[ "Eq.mpr", "PartialEquiv.map_target", "extChartAt", "NormedSpace", "congrArg", "PartialEquiv.target", "nhdsWithin", "PseudoMetricSpace.toUniformSpace", "Membership.mem", "PartialEquiv.symm", "id", "ModelWithCorners.toFun'", "PartialEquiv.right_inv", "TopologicalSpace", "ModelWithCorners",...
true
_private.Std.Tactic.BVDecide.LRAT.Internal.Formula.RatAddSound.0.Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula.existsRatHint_of_ratHintsExhaustive._proof_1_33
Std.Tactic.BVDecide.LRAT.Internal.Formula.RatAddSound
[ "Lean.Grind.CommRing.le_norm_expr", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "HMul.hMul", "Lean.Grind.CommRing.Expr.mul", "Int.Linear.norm_le", "Lean.Grind.CommRing.Expr.var", "Lean.Grind.ToInt.toInt", "Lean.Grind.Order.le_of_eq_2_k", "HEq.refl", "Std.IsLinearPreorder.toIsPreorder", ...
false
Std.Internal.List.getValue?_insertList
Std.Data.Internal.List.Associative
[ "Eq.mpr", "Std.Internal.List.DistinctKeys", "Std.Internal.List.insertList", "congrArg", "Eq.rec", "id", "Option.or", "Std.Internal.List.DistinctKeys_impl_Pairwise_distinct", "_private.Std.Data.Internal.List.Associative.0.Std.Internal.List.getValue?_insertList._simp_1_1", "List", "Option.map", ...
true
Algebra.norm
Mathlib.RingTheory.Norm.Defs
[ "Algebra.lmul", "CommRing", "instSMulOfMul", "MonoidHom", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Module.End.instSemiring", "Algebra", "Algebra.toModule", "MonoidHom.comp", "LinearMap.det", "LinearMap", "MulZeroOneClass.toMulOneClass", "instDistribOfSemiring", "instMu...
true
HasFTaylorSeriesUpToOn.hasStrictFDerivAt
Mathlib.Analysis.Calculus.ContDiff.RCLike
[ "Filter.instMembership", "LinearIsometryEquiv.instEquivLike", "Iff.mpr", "NormedCommRing.toSeminormedCommRing", "hasStrictFDerivAt_of_hasFDerivAt_of_continuousAt", "NormedSpace.toIsBoundedSMul", "instAddMonoidWithOneENat", "UniformContinuousConstSMul.to_continuousConstSMul", "NormedSpace", "WithTo...
true
LinearEquiv.multilinearMapCongrRight.congr_simp
Mathlib.LinearAlgebra.Multilinear.Finsupp
[ "DistribMulAction.toDistribSMul", "MultilinearMap.addCommMonoid", "AddMonoid.toAddZeroClass", "Eq.rec", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "MultilinearMap", "AddCommMonoid", "AddZero.toZero", "LinearEquiv.multilinearMapCongrRight", "RingHomInvPair.ids", "MultilinearMap.in...
true
RingCon.mk'._proof_1
Mathlib.RingTheory.Congruence.Defs
[ "MulOne.toOne", "RingCon.toQuotient", "RingCon", "Distrib.toAdd", "RingCon.Quotient", "NonAssocSemiring.toMulZeroOneClass", "MulZeroOneClass.toMulOneClass", "MulOneClass.toMulOne", "NonAssocSemiring", "Distrib.toMul", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "One.toOfNat1", "NonUnital...
false
WithZero.instPreorder._proof_3
Mathlib.Algebra.Order.GroupWithZero.Canonical
[ "WithBot", "Preorder.toLT", "WithBot.instPreorder._proof_4", "Preorder.toLE", "Preorder.lt_iff_le_not_ge._autoParam", "LE.le", "autoParam", "WithZero.le", "And", "Iff", "WithZero", "LT.lt", "WithZero.instLT", "Not", "Preorder" ]
false
RingEquiv.piMulOpposite._proof_4
Mathlib.Algebra.Ring.Equiv
[ "MulOpposite", "Distrib.toAdd", "instHAdd", "Pi.instAdd", "MulOpposite.instAdd", "HAdd.hAdd", "NonUnitalNonAssocSemiring.toDistrib", "MulOpposite.unop", "NonUnitalNonAssocSemiring", "Eq", "rfl", "MulOpposite.op" ]
false
CategoryTheory.Dial.tensorUnit_rel
Mathlib.CategoryTheory.Dialectica.Monoidal
[ "CategoryTheory.Dial.tensorUnitImpl._proof_1", "PartialOrder.toPreorder", "Preorder.toLE", "CategoryTheory.instPartialOrderSubobject", "CategoryTheory.Limits.HasPullbacks", "CategoryTheory.Limits.terminal", "OrderTop.toTop", "CategoryTheory.Dial.instCategory", "CategoryTheory.Dial", "CategoryTheor...
true
Lean.Lsp.InlayHintParams.noConfusion
Lean.Data.Lsp.LanguageFeatures
[ "Lean.Lsp.WorkDoneProgressParams", "Lean.Lsp.InlayHintParams.noConfusionType", "Lean.Lsp.TextDocumentIdentifier", "Eq.ndrec", "Lean.Lsp.InlayHintParams", "Eq.refl", "Lean.Lsp.Range", "Eq", "Lean.Lsp.InlayHintParams.casesOn" ]
false
NNDist.mk.noConfusion
Mathlib.Topology.MetricSpace.Pseudo.Defs
[ "NNDist", "id", "NNDist.noConfusion", "NNReal", "heq_of_eq", "Eq.refl", "HEq", "Eq", "NNDist.mk" ]
false
Tropical.instAddCommSemigroupTropical._proof_2
Mathlib.Algebra.Tropical.Basic
[ "min_comm", "LinearOrder", "Tropical", "instHAdd", "HAdd.hAdd", "Tropical.untrop_injective", "Eq", "Tropical.untrop", "Tropical.instAdd" ]
false
threeGPFree_smul_set₀
Mathlib.Combinatorics.Additive.AP.Three.Defs
[ "CommMonoidWithZero.toCommMonoid", "Eq.mpr", "instHSMul", "instSMulOfMul", "HMul.hMul", "CommMonoid.toCommSemigroup", "mul_mul_mul_comm", "MulZeroClass.toMul", "Monoid.toMulOneClass", "congrArg", "Membership.mem", "IsCancelMulZero.toIsLeftCancelMulZero", "id", "MulOne.toMul", "Ne", "Co...
true
ProbabilityTheory.Kernel.withDensity_zero'
Mathlib.Probability.Kernel.WithDensity
[ "ProbabilityTheory.IsSFiniteKernel", "MeasurableSpace", "ProbabilityTheory.Kernel.withDensity", "ENNReal", "Zero.toOfNat0", "ProbabilityTheory.Kernel.withDensity_zero", "ENNReal.instZero", "OfNat.ofNat", "Eq", "ProbabilityTheory.Kernel", "ProbabilityTheory.Kernel.instZero" ]
true
Submodule.Quotient.addCommGroup._proof_5
Mathlib.LinearAlgebra.Quotient.Defs
[ "Submodule", "AddMonoid.toAddSemigroup", "AddCommGroup.toAddCommMonoid", "Submodule.Quotient.addCommGroup._aux_1", "Neg.mk", "HSub.hSub", "QuotientAddGroup.Quotient.addCommGroup._proof_1", "Submodule.Quotient.addMonoid", "AddCommGroup.toAddGroup", "Submodule.hasQuotient", "Sub.mk", "AddCommGro...
false
Nat.Prime.dvd_primorial_iff
Mathlib.NumberTheory.Primorial
[ "CommMonoidWithZero.toCommMonoid", "Nat.Prime", "Dvd.dvd", "Finset.dvd_prod_of_mem", "congrArg", "Finset", "semigroupDvd", "Prime.dvd_finsetProd_iff", "Membership.mem", "Exists", "Nat.Prime.prime", "SemigroupWithZero.toSemigroup", "Eq.mp", "Nat.Prime.pos", "instOfNatNat", "_private.Mat...
true
CategoryTheory.Limits.ConeMorphism.w_assoc
Mathlib.CategoryTheory.Limits.Cones
[ "CategoryTheory.Limits.ConeMorphism", "CategoryTheory.Category.assoc", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Limits.ConeMorphism.w", "CategoryTheory.Functor.categor...
true
IsTop.not_isBot
Mathlib.Order.Max
[ "Nontrivial", "IsBot.isMin", "PartialOrder.toPreorder", "Preorder.toLE", "mt", "PartialOrder", "IsBot", "IsTop.not_isMin", "IsTop", "Not", "IsMin" ]
true
bddOrd_dual_comp_forget_to_bipointed
Mathlib.Order.Category.BddOrd
[ "BddOrd.dual", "CategoryTheory.Functor", "BoundedOrderHom", "PartOrd.str", "PartialOrder.toPreorder", "CategoryTheory.Functor.comp", "BddOrd.toPartOrd", "Bipointed.hasForget", "BddOrd", "Bipointed.X", "BddOrd.isBoundedOrder", "Bipointed.HomSubtype", "BddOrd.hasForgetToBipointed", "Bipointe...
true
_private.Mathlib.Topology.Algebra.Group.OpenMapping.0.isOpenMap_smul_of_sigmaCompact._simp_1_1
Mathlib.Topology.Algebra.Group.OpenMapping
[ "isOpenMap_iff_nhds_le", "Filter.map", "PartialOrder.toPreorder", "Preorder.toLE", "nhds", "IsOpenMap", "LE.le", "TopologicalSpace", "propext", "Eq", "Filter", "Filter.instPartialOrder" ]
false
_private.Mathlib.Tactic.Linter.FlexibleLinter.0.Mathlib.Linter.Flexible.Stained.toFMVarId.match_1
Mathlib.Tactic.Linter.FlexibleLinter
[ "Unit.unit", "Option.casesOn", "Option.some", "Option.none", "Unit", "Lean.LocalDecl", "Option" ]
false
String.Pos.le_slice_iff
Init.Data.String.Lemmas.Order
[ "Iff.mpr", "String.instLEPos_1", "String.Pos.ofSlice", "Iff.of_eq", "congrArg", "String.Pos.slice", "true_or", "String", "Exists", "Classical.imp_iff_left_iff._simp_1", "LE.le", "_private.Init.Data.String.Lemmas.Order.0.String.Pos.le_slice_iff._simp_1_1", "forall_prop_domain_congr", "Iff",...
true
Algebra.GrothendieckAddGroup.lift
Mathlib.GroupTheory.MonoidLocalization.GrothendieckGroup
[ "Algebra.GrothendieckAddGroup.lift._proof_1", "AddSubmonoid.instTop", "AddOreLocalization.instAddMonoid", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "Algebra.GrothendieckAddGroup", "AddCommGroup.toAddGroup", "AddZeroClass.toAddZero", "Equiv.mk", "AddCommGroup", "Equiv", "AddSu...
true
_private.Lean.Elab.DocString.0.Lean.Doc.fixupInline.match_3
Lean.Elab.DocString
[ "_private.Lean.Elab.DocString.0.Lean.Doc.ElabLink.casesOn", "Option.ctorIdx", "_private.Lean.Elab.DocString.0.Lean.Doc.getModState._sparseCasesOn_1", "Option.some", "_private.Lean.Elab.DocString.0.Lean.Doc.ElabLink", "Nat.hasNotBit", "Lean.Syntax.StrLit", "_private.Lean.Elab.DocString.0.Lean.Doc.ElabL...
false
CategoryTheory.PrelaxFunctor.id._proof_3
Mathlib.CategoryTheory.Bicategory.Functor.Prelax
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "id", "CategoryTheory.PrelaxFunctorStruct.map₂", "CategoryTheory.Bicategory.toCategoryStruct", "CategoryTheory.Bicategory", "Prefunctor.map", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.PrelaxFunctorStruct.toPrefunctor", "Eq.refl", ...
false
Lean.Data.AC.EvalInformation.evalOp
Init.Data.AC
[ "Lean.Data.AC.EvalInformation" ]
true
Matrix.ProjectiveSpecialLinearGroup
Mathlib.LinearAlgebra.Matrix.ProjectiveSpecialLinearGroup
[ "CommRing", "Matrix.SpecialLinearGroup", "Matrix.SpecialLinearGroup.instGroup", "QuotientGroup.instHasQuotientSubgroup", "Subgroup", "Subgroup.center", "HasQuotient.Quotient", "Fintype", "DecidableEq" ]
true
instModuleQuotientAddSubgroupTorsion._proof_2
Mathlib.GroupTheory.Torsion
[ "QuotientAddGroup.Quotient.addCommGroup._proof_1", "AddCommGroup.toAddGroup", "AddCommGroup", "AddSubgroup.Normal", "AddCommGroup.torsion" ]
false
ByteArray.findFinIdx?.loop
Init.Data.ByteArray.Basic
[ "InvImage", "HSub.hSub", "WellFounded.Nat.fix", "Option.some", "Fin.mk", "instDecidableEqBool", "instSubNat", "instOfNatNat", "ByteArray.instGetElemNatUInt8LtSize", "dite", "GetElem.getElem", "Bool.true", "Option.none", "instHAdd", "instHSub", "HAdd.hAdd", "Nat", "LT.lt", "Bool",...
true