name
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2 classes
String.reduceLE._regBuiltin.String.reduceLE.declare_1._@.Lean.Meta.Tactic.Simp.BuiltinSimprocs.String.974433241._hygCtx._hyg.22
Lean.Meta.Tactic.Simp.BuiltinSimprocs.String
[ "IO", "Sum.inl", "Bool.true", "Unit", "Lean.Meta.Simp.DSimproc", "Lean.Name.mkStr2", "String.reduceLE", "Lean.Meta.Simp.addSimprocBuiltinAttr", "Lean.Meta.Simp.Simproc" ]
false
_private.Mathlib.Probability.Moments.SubGaussian.0.ProbabilityTheory.HasSubgaussianMGF_iff_kernel.match_1_3
Mathlib.Probability.Moments.SubGaussian
[ "MeasureTheory.ae", "Unit.unit", "NormedCommRing.toSeminormedCommRing", "Real.instLE", "Real", "MeasureTheory.Measure", "instHDiv", "HMul.hMul", "Real.instDivInvMonoid", "Filter.Eventually", "Nat.instAtLeastTwoHAddOfNat", "PseudoMetricSpace.toUniformSpace", "MeasureTheory.Integrable", "Pro...
false
NormedAddGroupHom._sizeOf_1
Mathlib.Analysis.Normed.Group.Hom
[ "Norm.norm", "Real.instLE", "Real", "NormedAddGroupHom", "SeminormedAddCommGroup", "HMul.hMul", "AddCommGroup.toAddCommMonoid", "instSizeOfDefault", "Exists", "instOfNatNat", "LE.le", "SeminormedAddCommGroup.toNorm", "instHAdd", "HAdd.hAdd", "SeminormedAddCommGroup.toAddCommGroup", "Na...
false
MulArchimedeanOrder.val.eq_1
Mathlib.Algebra.Order.Archimedean.Class
[ "Equiv", "Eq.refl", "MulArchimedeanOrder.val", "Equiv.refl", "Eq", "MulArchimedeanOrder" ]
true
MeasurableSMul.rec
Mathlib.MeasureTheory.Group.Arithmetic
[ "instHSMul", "MeasurableSMul", "SMul", "Measurable", "MeasurableSpace", "HSMul.hSMul", "MeasurableConstSMul", "MeasurableSMul.mk" ]
false
Lean.Meta.Grind.AC.DiseqCnstrProof.simp_middle
Lean.Meta.Tactic.Grind.AC.Types
[ "Lean.Meta.Grind.AC.EqCnstr", "Lean.Meta.Grind.AC.DiseqCnstrProof.simp_middle", "Lean.Meta.Grind.AC.DiseqCnstr", "Lean.Meta.Grind.AC.DiseqCnstrProof", "Bool", "Lean.Grind.AC.Seq" ]
true
Std.ExtHashMap.contains_of_contains_filterMap
Std.Data.ExtHashMap.Lemmas
[ "Std.ExtHashMap.contains", "Std.ExtDHashMap.contains_of_contains_filterMap", "Std.ExtHashMap.inner", "Std.ExtHashMap.filterMap", "LawfulHashable", "Std.ExtHashMap", "Bool.true", "EquivBEq", "Bool", "Hashable", "BEq", "Eq", "Option" ]
true
Complex.UnitDisc.mk_neg
Mathlib.Analysis.Complex.UnitDisc.Basic
[ "AddGroup.toSubtractionMonoid", "Norm.norm", "SeminormedAddGroup.toNorm", "NegZeroClass.toNeg", "NormedCommRing.toSeminormedCommRing", "Real", "SeminormedAddGroup.toAddGroup", "Complex.instNormedField", "SemigroupWithZero.toMulZeroClass", "Real.instLT", "Eq.rec", "Complex.instNorm", "Complex...
true
ValuativeRel.trivialRel._proof_5
Mathlib.RingTheory.Valuation.ValuativeRel.Trivial
[ "Eq.mpr", "IsDomain", "False", "CommRing", "IsDomain.to_noZeroDivisors", "HMul.hMul", "eq_false", "MulZeroClass.toMul", "congrArg", "CommSemiring.toSemiring", "False.elim", "MulZeroClass.zero_mul", "Eq.mp", "not_true_eq_false", "id", "ite_cond_eq_true", "imp_self._simp_1", "if_pos"...
false
PowerBasis.liftEquiv._proof_6
Mathlib.RingTheory.PowerBasis
[ "PowerBasis", "CommRing", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "Polynomial.algebraOfAlgebra", "PowerBasis.gen", "Algebra", "PowerBasis.lift", "Algebra.id", "Subtype", "PowerBasis.liftEquiv._proof_1", "minpoly", "Polynomial", "Subtype.mk", "CommRing.toCommSemiring", ...
false
Mathlib.Tactic.superscriptTerm
Mathlib.Util.Superscript
[ "Lean.Parser.Parser", "Lean.Parser.leadingNode", "Mathlib.Tactic.superscript", "Lean.Name.mkStr3", "instOfNatNat", "Lean.Parser.withAntiquot", "Nat", "Lean.Parser.withCache", "OfNat.ofNat", "Lean.Parser.mkAntiquot", "Bool.false", "Lean.Parser.termParser" ]
true
CategoryTheory.effectiveEpiFamilyStructOfComp._proof_4
Mathlib.CategoryTheory.EffectiveEpi.Comp
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.effectiveEpiFamilyStructOfComp._proof_1", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "Eq", "CategoryTheory.Category" ]
false
_private.Mathlib.Algebra.Order.Archimedean.Basic.0.existsUnique_div_zpow_mem_Ico._simp_1_1
Mathlib.Algebra.Order.Archimedean.Basic
[ "Preorder.toLT", "Set.mem_Ico", "Preorder.toLE", "Membership.mem", "LE.le", "Set.Ico", "And", "LT.lt", "propext", "Eq", "Set.instMembership", "Preorder", "Set" ]
false
AlternatingMap.instFunLike._proof_1
Mathlib.LinearAlgebra.Alternating.Basic
[ "AlternatingMap", "MultilinearMap.mk", "instHSMul", "Function.update", "DistribMulAction.toDistribSMul", "MultilinearMap.casesOn", "AddMonoid.toAddZeroClass", "Eq.rec", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "Ne", "AlternatingMap.toMultilinearMap", "MultilinearMap", "AddC...
false
AlgebraicGeometry.Scheme.Cover.map_prop
Mathlib.AlgebraicGeometry.Cover.MorphismProperty
[ "CategoryTheory.MorphismProperty", "AlgebraicGeometry.Scheme", "CategoryTheory.PreZeroHypercover.f", "CategoryTheory.Presieve.ofArrows.mk", "CategoryTheory.Presieve", "AlgebraicGeometry.Scheme.jointlySurjectivePrecoverage", "CategoryTheory.PreZeroHypercover.presieve₀", "Membership.mem", "CategoryThe...
true
Condensed.StoneanCompHaus.equivalence._proof_5
Mathlib.Condensed.Equivalence
[ "CompHausLike.instFinitaryExtensiveOfHasExplicitPullbacksOfInclusions", "Stonean.instHasExplicitFiniteCoproductsExtremallyDisconnectedCarrier", "TopCat.str", "TopCat.carrier", "Stonean", "Stonean.instHasExplicitPullbacksOfInclusionsExtremallyDisconnectedCarrier", "CompHausLike.category", "CategoryTheo...
false
_private.Mathlib.Tactic.FunProp.Mor.0.Mathlib.Meta.FunProp.Mor.whnfPred.match_3
Mathlib.Tactic.FunProp.Mor
[ "Unit.unit", "Option.casesOn", "Option.some", "Lean.Expr", "Option.none", "Unit", "Option" ]
false
_private.Mathlib.Analysis.Normed.Operator.BoundedLinearMaps.0.IsBoundedLinearMap.isBigO_id.match_1_1
Mathlib.Analysis.Normed.Operator.BoundedLinearMaps
[ "Norm.norm", "Real.instLE", "Real", "SeminormedAddCommGroup", "HMul.hMul", "Real.instZero", "Real.instLT", "Exists", "LE.le", "And.casesOn", "SeminormedAddCommGroup.toNorm", "And", "Exists.casesOn", "Real.instMul", "And.intro", "LT.lt", "Exists.intro", "Zero.toOfNat0", "OfNat.ofN...
false
CategoryTheory.TransfiniteCompositionOfShape.incl
Mathlib.CategoryTheory.Limits.Shapes.Preorder.TransfiniteCompositionOfShape
[ "CategoryTheory.Functor", "Preorder.toLT", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "LinearOrder", "WellFoundedLT", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "Preorder.toLE", "OrderBot", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "Preorder...
true
_private.Mathlib.Topology.Algebra.InfiniteSum.ConditionalInt.0.HasProd.hasProd_symmetricIco_of_hasProd_symmetricIcc._proof_1_3
Mathlib.Topology.Algebra.InfiniteSum.ConditionalInt
[ "Lean.RArray.leaf", "False", "Int.Linear.le_unsat", "Classical.byContradiction", "Int.not_le_eq", "Int.Linear.Expr.add", "id", "Lean.RArray", "Int.instNegInt", "instOfNatNat", "Int", "NatCast.natCast", "LE.le", "Int.Linear.Poly.num", "Int.Linear.Poly.add", "Bool.true", "instHAdd", ...
false
_private.Mathlib.GroupTheory.Perm.Cycle.Basic.0.Equiv.Perm.IsCycleOn.pow_apply_eq_pow_apply._simp_1_1
Mathlib.GroupTheory.Perm.Cycle.Basic
[ "Equiv.instEquivLike", "Equiv", "propext", "Equiv.symm", "Eq", "DFunLike.coe", "EquivLike.toFunLike", "Equiv.eq_symm_apply" ]
false
Lean.Order.coind_monotone_forall
Init.Internal.Order.Basic
[ "Lean.Order.ReverseImplicationOrder", "Lean.Order.monotone_apply", "Lean.Order.PartialOrder.rel", "Lean.Order.PartialOrder", "Lean.Order.monotone", "Lean.Order.ReverseImplicationOrder.instOrder", "Lean.Order.instOrderPi" ]
true
CategoryTheory.GlueData'.t''._proof_7
Mathlib.CategoryTheory.GlueData
[ "CategoryTheory.GlueData'.V", "CategoryTheory.GlueData'.f", "CategoryTheory.GlueData'", "CategoryTheory.Limits.HasPullback", "Ne.symm", "CategoryTheory.GlueData'.U", "CategoryTheory.GlueData'.J", "CategoryTheory.GlueData'.t''._proof_3", "Eq", "CategoryTheory.GlueData'.f_hasPullback", "Not", "C...
false
_private.Init.Grind.ToInt.0.Lean.Grind.instBEqIntInterval.beq.eq_def
Init.Grind.ToInt
[ "Int.instDecidableEq", "Bool.and", "_private.Init.Grind.ToInt.0.Lean.Grind.instBEqIntInterval.beq.match_1", "Int", "instBEqOfDecidableEq", "Bool.true", "BEq.beq", "Unit", "Bool", "Eq.refl", "Lean.Grind.instBEqIntInterval.beq", "Bool.false", "Eq", "Lean.Grind.IntInterval" ]
true
Lean.ParserDescr.unicodeSymbol
Init.Prelude
[ "String", "Lean.ParserDescr", "Lean.ParserDescr.unicodeSymbol", "Bool" ]
true
_private.Lean.Meta.Tactic.Grind.Order.Assert.0.Lean.Meta.Grind.Order.propagatePending.match_1
Lean.Meta.Tactic.Grind.Order.Assert
[ "Lean.Meta.Grind.Order.ToPropagate.casesOn", "Lean.Expr", "Lean.Meta.Grind.Order.ToPropagate.eqTrue", "Lean.Meta.Grind.Order.ToPropagate.eqFalse", "Lean.Meta.Grind.Order.NodeId", "Lean.Meta.Grind.Order.Weight", "Lean.Meta.Grind.Order.ToPropagate", "Lean.Meta.Grind.Order.ToPropagate.eq", "Lean.Meta.G...
false
Module.Dual.baseChange._proof_2
Mathlib.LinearAlgebra.Dual.BaseChange
[ "Semiring.toModule", "IsScalarTower.right", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "Algebra", "AddZeroClass.toAddZero", "Algebra.toModule", "DistribSMul.toSMulZeroClass", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "AddZero.toZ...
false
Cardinal.partialOrder._proof_2
Mathlib.SetTheory.Cardinal.Order
[ "Cardinal", "Quot.ind", "LE.le", "Nonempty.intro", "Cardinal.instLE", "Function.Embedding", "Cardinal.isEquivalent", "Function.Embedding.trans", "Nonempty.casesOn", "Setoid.r", "Quot.mk" ]
false
UpperHalfPlane.petersson_slash_SL
Mathlib.NumberTheory.ModularForms.Petersson
[ "UpperHalfPlane.glAction", "Real.instIsOrderedRing", "Units.val", "NormedCommRing.toSeminormedCommRing", "Matrix.SpecialLinearGroup.coeToGL_det", "MulOne.toOne", "Real.partialOrder", "Real", "instHSMul", "Matrix.SpecialLinearGroup", "MonoidHom.instFunLike", "UpperHalfPlane.SLAction", "InvOne...
true
CategoryTheory.CostructuredArrow.map_mk
Mathlib.CategoryTheory.Comma.StructuredArrow.Basic
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.CostructuredArrow", "CategoryTheory.instCategoryCostructuredArrow_1", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.CostructuredArrow.mk", "CategoryTheory.Category.toCategoryStruct", "Eq", "Ca...
true
_private.Lean.Compiler.LCNF.Simp.FunDeclInfo.0.Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addLetValueOccs
Lean.Compiler.LCNF.Simp.FunDeclInfo
[ "Pure.pure", "Unit.unit", "Lean.Compiler.LCNF.Arg", "Lean.Compiler.LCNF.LitValue", "Lean.Core.instMonadLiftIOCoreM", "IO.instMonadLiftSTRealWorldBaseIO", "ReaderT", "modify", "Monad.toApplicative", "instMonadLiftT", "Lean.Compiler.LCNF.LetValue", "IO", "StateRefT'.instMonadStateOfOfMonadLift...
true
DilationEquiv.recOn
Mathlib.Topology.MetricSpace.DilationEquiv
[ "PseudoEMetricSpace.toWeakPseudoEMetricSpace", "ENNReal.ofNNReal", "HMul.hMul", "CommSemiring.toSemiring", "DilationEquiv.mk", "Exists", "Equiv", "NNReal", "Ne", "Equiv.toFun", "ENNReal.instCommSemiring", "PseudoEMetricSpace", "NNReal.instZero", "instDistribOfSemiring", "And", "Distrib...
false
Function.Injective.addMonoid._proof_3
Mathlib.Algebra.Group.InjSurj
[ "instHSMul", "SMul", "AddMonoid.toAddZeroClass", "AddMonoid.toNSMul", "AddZeroClass.toAddZero", "Function.Injective.addMonoid._proof_1", "instOfNatNat", "AddZero.toZero", "instHAdd", "HAdd.hAdd", "Nat", "AddMonoid", "AddZero.toAdd", "Zero.toOfNat0", "HSMul.hSMul", "Function.Injective",...
false
CondensedSet.topCatAdjunctionUnit
Mathlib.Condensed.TopCatAdjunction
[ "CategoryTheory.Functor", "Opposite", "instTopologicalSpaceObjOppositeCompHausObjFunctorTypeIsSheafCoherentTopologyOpOfPUnit._proof_1", "CondensedSet.topCatAdjunctionUnit._proof_1", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Condensed._proof_1", "CategoryTheory.ConcreteCategory.hom", "...
true
AlgebraicTopology.DoldKan.QInfty_comp_PInfty_assoc
Mathlib.AlgebraicTopology.DoldKan.PInfty
[ "CategoryTheory.Category.assoc", "ChainComplex", "HomologicalComplex.instCategory", "Nat.instOne", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "AddRightCancelSemigroup.toAddSemigroup", "AddCancelMonoid.toAddRightCancelMonoid", "Eq.mp", "Nat.instAddCancelCommMonoid", "id...
true
_private.Lean.Elab.BuiltinNotation.0.Lean.Elab.Term.isSubstCandidate
Lean.Elab.BuiltinNotation
[ "Pure.pure", "Bool.not", "Lean.Expr.fvarId!", "Lean.Meta.State", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "instDecidableEqBool", "Applicative.toPure", "Bool.true", "Lean.Core.CoreM", "Lean.Meta.instMonadMetaM", "StateRefT'", "StateRefT'.instMonad", "Bool", "Monad.toBind", "Bin...
true
Order.isSuccPrelimit_toDual_iff
Mathlib.Order.SuccPred.Limit
[ "OrderDual.toDual", "Equiv.instEquivLike", "Order.IsSuccPrelimit", "congrArg", "CovBy", "Equiv", "OrderDual.instLT", "iff_self", "Iff", "True", "of_eq_true", "congrFun'", "OrderDual", "OrderDual.forall._simp_1", "DFunLike.coe", "Not", "toDual_covBy_toDual_iff._simp_1", "Order.IsPre...
true
OpenAddSubgroup.toAddSubgroup_sup._simp_1
Mathlib.Topology.Algebra.OpenSubgroup
[ "AddSubgroup.instCompleteLattice", "Lattice.toSemilatticeSup", "AddMonoid.toAddZeroClass", "SeparatelyContinuousAdd", "CompleteLattice.toConditionallyCompleteLattice", "AddZeroClass.toAddZero", "SemilatticeSup.toMax", "OpenAddSubgroup.toAddSubgroup", "AddSubgroup", "OpenAddSubgroup.toAddSubgroup_s...
false
_private.Lean.Meta.Tactic.Grind.Arith.Cutsat.EqCnstr.0.Lean.Meta.Grind.Arith.Cutsat.DiseqCnstr.assertCore
Lean.Meta.Tactic.Grind.Arith.Cutsat.EqCnstr
[ "Lean.Meta.Grind.GrindM", "Lean.Meta.Grind.Arith.Cutsat.DiseqCnstrProof.commRingNorm", "Lean.Grind.CommRing.Poly", "Lean.Meta.Grind.Goal", "Lean.Meta.Grind.State", "ReaderT", "Lean.Meta.Sym.Context", "Lean.Meta.Grind.Arith.Cutsat.DiseqCnstr", "ReaderT.instMonad", "Lean.Meta.Grind.Context", "Lean...
true
FirstOrder.Field.FieldAxiom.toProp.eq_7
Mathlib.ModelTheory.Algebra.Field.Basic
[ "One", "HMul.hMul", "Mul", "Exists", "Ne", "FirstOrder.Field.FieldAxiom.toProp", "Neg", "One.toOfNat1", "Zero.toOfNat0", "Eq.refl", "FirstOrder.Field.FieldAxiom.existsInv", "OfNat.ofNat", "Eq", "Add", "instHMul", "Zero" ]
true
CategoryTheory.Limits.PreservesFiniteProducts.casesOn
Mathlib.CategoryTheory.Limits.Preserves.Finite
[ "CategoryTheory.Functor", "CategoryTheory.discreteCategory", "Nat", "CategoryTheory.Limits.PreservesFiniteProducts.mk", "Fin", "CategoryTheory.Limits.PreservesFiniteProducts.rec", "CategoryTheory.Limits.PreservesFiniteProducts", "CategoryTheory.Limits.PreservesLimitsOfShape", "CategoryTheory.Categor...
false
CommRingCat.Colimits.ColimitType.AddGroupWithOne._proof_3
Mathlib.Algebra.Category.Ring.Colimits
[ "CategoryTheory.Functor", "One.mk", "AddMonoid.toAddSemigroup", "Zero.zero", "CommRingCat", "Add.mk", "Neg.mk", "AddMonoid.toZero", "CommRingCat.instCategory", "CategoryTheory.SmallCategory", "Add.add", "Int", "Nat.cast", "CommRingCat.Colimits.ColimitType", "Quotient.mk", "CommRingCat....
false
ContinuousMap.instNormedAlgebra._proof_2
Mathlib.Topology.ContinuousMap.Compact
[ "HMul.hMul", "Algebra.algebraMap", "Ring.toNonAssocRing", "IsTopologicalRing.toIsTopologicalSemiring", "CommSemiring.toSemiring", "ContinuousMap", "PseudoMetricSpace.toUniformSpace", "Algebra.commutes'", "SeminormedRing.toRing", "RingHom", "NormedField.toField", "ContinuousMap.instSemiringOfIs...
false
smoothPresheafRing
Mathlib.Geometry.Manifold.Sheaf.Smooth
[ "RingCat.ofHom", "RingCat.of", "instRingObjOppositeOpensCarrierOfPresheafSmoothSheaf", "Opposite", "NormedSpace", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "instTopENat", "TopologicalSpace.Opens.instPartialOrder", "CategoryTheory.Functor.mk", "PartialOrder.toPreorder", "ContMDiff...
true
ContinuousMap.instNonUnitalSemiringOfIsTopologicalSemiring._proof_1
Mathlib.Topology.ContinuousMap.Algebra
[ "HMul.hMul", "IsTopologicalSemiring", "IsTopologicalSemiring.toContinuousMul", "ContinuousMap", "NonUnitalNonAssocSemiring.toMulZeroClass", "NonUnitalNonAssocSemiring.toMul", "ContinuousMap.instNonUnitalNonAssocSemiringOfIsTopologicalSemiring", "ContinuousMap.coe_zero", "NonUnitalSemiring.toNonUnita...
false
Matrix.l2_opNNNorm_conjTranspose
Mathlib.Analysis.CStarAlgebra.Matrix
[ "Real.instLE", "Real", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Real.instZero", "Matrix", "SeminormedAddGroup.toNNNorm", "NNNorm.nnnorm", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "Matrix.l2_opNorm_conjTranspose", "NNReal", "LE.le", "StarAddMonoid.toInvolutiveStar", "Norm...
true
LT.lt.pos
Mathlib.Algebra.Order.IsBotOne
[ "Preorder.toLT", "Preorder.toLE", "pos_of_gt", "IsBotZeroClass", "LT.lt", "Zero.toOfNat0", "OfNat.ofNat", "Preorder", "Zero" ]
true
_private.Lean.Elab.PreDefinition.TerminationMeasure.0.Lean.Elab.TerminationMeasure.delab.go.match_1.splitter
Lean.Elab.PreDefinition.TerminationMeasure
[ "_private.Lean.Elab.PreDefinition.TerminationMeasure.0.Lean.Elab.TerminationMeasure.delab.go.match_1", "Lean.TSyntaxArray", "instOfNatNat", "List.cons", "Nat", "Lean.SyntaxNodeKind", "OfNat.ofNat", "Lean.Name.mkStr1", "Nat.succ", "List.nil" ]
true
LieAlgebra.exists_isRegular
Mathlib.Algebra.Lie.Rank
[ "LieAlgebra.toModule", "Module.End.instRing", "IsDomain", "CommRing", "instSMulOfMul", "LieRing.toAddCommGroup", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "LieModule.rank._proof_1", "lieAlgebraSelfModule", "Exists", "LinearMap.exists_isNilRegular", "instDistribOfSemiring", ...
true
CategoryTheory.MorphismProperty.LeftFraction.f
Mathlib.CategoryTheory.Localization.CalculusOfFractions
[ "CategoryTheory.MorphismProperty", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MorphismProperty.LeftFraction", "CategoryTheory.MorphismProperty.LeftFraction.Y'", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Category" ]
true
_private.Mathlib.Combinatorics.SimpleGraph.Matching.0.SimpleGraph.Subgraph.isMatching_iff_forall_degree._simp_1_1
Mathlib.Combinatorics.SimpleGraph.Matching
[ "SimpleGraph.Subgraph", "Set.Elem", "SimpleGraph.Subgraph.neighborSet", "instOfNatNat", "SimpleGraph.Subgraph.degree_eq_one_iff_existsUnique_adj", "SimpleGraph", "SimpleGraph.Subgraph.degree", "Fintype", "ExistsUnique", "Nat", "propext", "SimpleGraph.Subgraph.Adj", "OfNat.ofNat", "Eq" ]
false
_private.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.Enums.0.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.enumsPass.postprocess
Lean.Elab.Tactic.BVDecide.Frontend.Normalize.Enums
[ "Pure.pure", "Lean.instantiateMVars", "Unit.unit", "Lean.MVarId.withContext", "Lean.LocalDeclKind.default", "Lean.Expr.forEachWhere", "Bool.not", "Lean.instMonadMCtxOfMonadLift", "StateRefT'.instAlternativeOfMonad", "Array.push", "Lean.Core.instMonadLiftIOCoreM", "instInhabitedOfMonad", "_pr...
true
NFA.accepts_iff_exists_path
Mathlib.Computability.NFA
[ "Eq.mpr", "congrArg", "NFA.evalFrom", "NFA.Path", "NFA", "Membership.mem", "Exists", "Set.instSingletonSet", "id", "NFA.start", "NFA.accept", "And.casesOn", "_private.Mathlib.Computability.NFA.0.NFA.accepts_iff_exists_path._simp_1_1", "funext", "List", "And", "Iff", "Exists.casesOn...
true
Multiset.mem_sym2_iff
Mathlib.Data.Multiset.Sym
[ "congrArg", "Multiset.mem_coe._simp_1", "Membership.mem", "Multiset", "Quotient.inductionOn", "Quotient.mk", "_private.Mathlib.Data.Multiset.Sym.0.Multiset.mem_sym2_iff._simp_1_1", "iff_self", "Multiset.instMembership", "List", "Multiset.ofList", "Iff", "List.sym2", "List.instMembership", ...
true
_private.Mathlib.CategoryTheory.Limits.Shapes.Pullback.Assoc.0.CategoryTheory.Limits.termG₃
Mathlib.CategoryTheory.Limits.Shapes.Pullback.Assoc
[ "Lean.Name.mkNum", "Lean.Name.mkStr", "instOfNatNat", "Lean.Name.anonymous", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "Lean.ParserDescr.symbol", "OfNat.ofNat" ]
true
MeasureTheory.probReal_add_probReal_compl
Mathlib.MeasureTheory.Measure.Typeclasses.Probability
[ "ENNReal.instAdd", "False", "Real", "ENNReal.toReal_add", "MeasureTheory.Measure", "MeasurableSet", "congrArg", "Compl.compl", "MeasureTheory.Measure.real", "Eq.mp", "id", "MeasureTheory.IsZeroOrProbabilityMeasure.toIsFiniteMeasure", "Set.instCompl", "Real.instAdd", "Real.instOne", "Me...
true
Function.mem_support
Mathlib.Algebra.Notation.Support
[ "Iff.rfl", "Membership.mem", "Ne", "Iff", "Function.support", "Zero.toOfNat0", "OfNat.ofNat", "Set.instMembership", "Zero", "Set" ]
true
_private.Init.Meta.Defs.0.Lean.Syntax.decodeNameLit.match_1
Init.Meta.Defs
[ "Unit.unit", "Nat.hasNotBit", "Lean.Name.ctorIdx", "Lean.Name.anonymous", "Unit", "_private.Init.Meta.Defs.0.Lean.Name.getRoot._sparseCasesOn_1", "Lean.Name" ]
false
_private.Lean.Meta.ExprLens.0.Lean.Meta.foldAncestorsAux._unsafe_rec
Lean.Meta.ExprLens
[ "Pure.pure", "Array.instAppend", "ReaderT", "Monad.toApplicative", "Lean.Meta.State", "_private.Lean.Meta.ExprLens.0.Lean.Meta.foldAncestorsAux._unsafe_rec", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "_private.Lean.Meta.ExprLens.0.Lean.Meta.foldAncestorsAux.match_1", "liftM", "instOfNatN...
false
CategoryTheory.Limits.ConeMorphism.ext
Mathlib.CategoryTheory.Limits.Cones
[ "CategoryTheory.Limits.ConeMorphism", "CategoryTheory.Limits.ConeMorphism.mk", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "Eq.rec", "CategoryTheory.Limits.Cone.pt...
true
LinearMap.compAlternatingMap_smul
Mathlib.LinearAlgebra.Alternating.Basic
[ "Monoid", "AlternatingMap", "instHSMul", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "AlternatingMap.instSMul", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "AlternatingMap.toMultilinearMap", "LinearMap", "MultilinearMap", "AddCommMonoid", "AddZero.toZero", "L...
true
Nat.getElem?_toArray_roc
Init.Data.Range.Polymorphic.NatLemmas
[ "of_decide_eq_true", "Std.Rco.toArray", "congrArg", "Nat.Simproc.add_sub_add_le", "Nat.getElem?_toArray_rco", "HSub.hSub", "Option.some", "Std.PRange.instIsAlwaysFiniteNat_1", "instSubNat", "instOfNatNat", "LE.le", "instLENat", "Array", "Bool.true", "Option.none", "instHAdd", "instHS...
true
Module.Basis.isUnitSMul
Mathlib.LinearAlgebra.Basis.SMul
[ "Module.Basis.unitsSMul", "IsUnit", "AddCommMonoid", "Module.Basis", "Semiring.toMonoid", "Semiring", "IsUnit.unit", "Module" ]
true
squarefree_iff_irreducible_sq_not_dvd_of_ne_zero
Mathlib.Algebra.Squarefree.Basic
[ "False", "Dvd.dvd", "HMul.hMul", "eq_false", "MulZeroClass.toMul", "congrArg", "semigroupDvd", "false_and", "SemigroupWithZero.toSemigroup", "Irreducible", "Eq.mp", "Ne", "false_or", "CommMonoidWithZero.toMonoidWithZero", "MonoidWithZero.toSemigroupWithZero", "And", "Iff", "MonoidW...
true
DiffContOnCl.circleAverage
Mathlib.Analysis.Complex.MeanValue
[ "DiffContOnCl", "AddGroup.toSubtractionMonoid", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "False", "Real", "instHSMul", "instHDiv", "CompleteSpace", "GroupWithZero.toDivisionMonoid", "InvOneClass.toOne", "Real.latt...
true
Int.negSucc_shiftRight
Init.Data.Int.Bitwise.Lemmas
[ "Int.instHShiftRightNat", "Int", "instHShiftRightOfShiftRight", "Nat.instShiftRight", "HShiftRight.hShiftRight", "Nat", "Int.negSucc", "Eq", "rfl" ]
true
OnePoint.not_specializes_infty_coe
Mathlib.Topology.Compactification.OnePoint.Basic
[ "OnePoint.infty", "Specializes", "OnePoint.isClosed_infty", "OnePoint.some", "Set.instSingletonSet", "TopologicalSpace", "IsClosed.not_specializes", "Singleton.singleton", "OnePoint.instTopologicalSpace", "Not", "rfl", "OnePoint.coe_ne_infty", "OnePoint", "Set" ]
true
Aesop.traceSimpTheoremTreeContents
Aesop.Tracing
[ "Pure.pure", "Lean.Core.instMonadTraceCoreM", "Bool.not", "Lean.Core.instMonadRefCoreM", "instForInOfForIn'", "ReaderT", "String", "Lean.Meta.DiscrTree.values", "Array.instMembership", "Lean.Core.instMonadOptionsCoreM", "inferInstance", "Array.map", "IO.RealWorld", "EIO", "instDecidableE...
true
IsFreeGroupoid.SpanningTree.treeHom.eq_1
Mathlib.GroupTheory.FreeGroup.NielsenSchreier
[ "_private.Mathlib.GroupTheory.FreeGroup.NielsenSchreier.0.IsFreeGroupoid.SpanningTree.root'", "IsFreeGroupoid.SpanningTree.homOfPath", "Inhabited.default", "WideSubquiver.quiver", "IsFreeGroupoid", "Quiver.Arborescence", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Quiver.symmetrifyQuive...
true
CategoryTheory.Limits.CategoricalPullback.CatCommSqOver.transformObjComp_inv_app_fst_app
Mathlib.CategoryTheory.Limits.Shapes.Pullback.Categorical.Basic
[ "CategoryTheory.Functor", "CategoryTheory.Limits.CategoricalPullback.CatCommSqOver.transform", "CategoryTheory.Limits.CategoricalPullback.CatCommSqOver.instCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheo...
true
HopfAlgCat.tensorUnit_carrier
Mathlib.Algebra.Category.HopfAlgCat.Monoidal
[ "CommRing", "HopfAlgCat", "HopfAlgCat.category", "HopfAlgCat.carrier", "CategoryTheory.MonoidalCategoryStruct.tensorUnit", "Eq.refl", "Eq", "HopfAlgCat.instMonoidalCategoryStruct" ]
true
LawfulFix.mk._flat_ctor
Mathlib.Control.LawfulFix
[ "LawfulFix", "OmegaCompletePartialOrder", "LawfulFix.mk", "Fix.mk", "Eq", "OmegaCompletePartialOrder.ωScottContinuous" ]
false
CategoryTheory.Limits.coequalizer.isoTargetOfSelf_inv
Mathlib.CategoryTheory.Limits.Shapes.Equalizers
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.hasCoequalizer_of_self", "CategoryTheory.Limits.coequalizer", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Limits.coequalizer.π", "Eq", "CategoryTheory.Iso.inv", "CategoryTheory.Limits.coequalizer.isoTarget...
true
Real.le_sqrt'
Mathlib.Data.Real.Sqrt
[ "Iff.mpr", "Real.instLE", "Real", "Preorder.toLT", "Real.instZero", "PartialOrder.toPreorder", "le_iff_le_iff_lt_iff_lt", "Real.instLT", "Preorder.toLE", "instOfNatNat", "LE.le", "Real.sqrt_lt'", "Monoid.toPow", "Real.instMonoid", "Iff", "HPow.hPow", "Nat", "LT.lt", "Real.sqrt", ...
true
Set.disjoint_of_subset_iff_left_eq_empty
Mathlib.Order.BooleanAlgebra.Set
[ "Disjoint", "SemilatticeInf.toPartialOrder", "BiheytingAlgebra.toHeytingAlgebra", "HasSubset.Subset", "BiheytingAlgebra.toCoheytingAlgebra", "BooleanAlgebra.toBiheytingAlgebra", "Iff", "disjoint_of_le_iff_left_eq_bot", "Set.instBooleanAlgebra", "Set.instEmptyCollection", "CoheytingAlgebra.toGene...
true
MeasureTheory.Lp.instLattice
Mathlib.MeasureTheory.Function.LpOrder
[ "Lattice", "MeasureTheory.Measure", "AddCommGroup.toAddCommMonoid", "PartialOrder.toPreorder", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "Membership.mem", "SemilatticeInf.toPartialOrder", "Subtype", "HasSolidNorm.toTopologicalLattice", "MeasureTheory.Lp", "MeasureTheory.AE...
true
CauSeq.Completion.Cauchy.field._proof_6
Mathlib.Algebra.Order.CauSeq.Completion
[ "Nontrivial", "LinearOrder", "CauSeq.Completion.Cauchy", "IsStrictOrderedRing", "Field.toDivisionRing", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "DivisionRing.toRing", "Field.toSemifield", "Semifield.toDivisionSemiring", "CauSeq.Completion.Cauchy.divisionRing", "IsAbsoluteV...
false
groupCohomology.functor
Mathlib.RepresentationTheory.Homological.GroupCohomology.Functoriality
[ "CategoryTheory.Functor", "CommRing", "groupCohomology.map", "groupCohomology", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "ModuleCat", "Monoid.toMulOneClass", "CommSemiring.toSemiring", "CategoryTheory.Functor.mk", "Group", "Rep.instCategory", "DivInvMonoid.toMonoid", "groupC...
true
MeasureTheory.StronglyMeasurable.div₀
Mathlib.MeasureTheory.Function.StronglyMeasurable.Basic
[ "GroupWithZero.toMonoidWithZero", "MeasureTheory.StronglyMeasurable.approx", "instHDiv", "GroupWithZero.toDivisionMonoid", "GroupWithZero.toDivInvMonoid", "DivInvOneMonoid.toInvOneClass", "MulZeroClass.toMul", "Pi.instDiv", "GroupWithZero", "ContinuousInv₀", "MeasureTheory.SimpleFunc.instDiv", ...
true
Equiv.apply_eq_iff_eq_symm_apply
Mathlib.Logic.Equiv.Defs
[ "Equiv.instEquivLike", "Equiv", "Iff", "Equiv.symm", "Eq", "DFunLike.coe", "_private.Mathlib.Logic.Equiv.Defs.0.Equiv.apply_eq_iff_eq_symm_apply._proof_1_2", "EquivLike.toFunLike" ]
true
contractRight_apply
Mathlib.LinearAlgebra.Contraction
[ "Algebra.to_smulCommClass", "Semiring.toModule", "CommSemiring.toSemiring", "TensorProduct.addCommMonoid", "LinearMap.instFunLike", "Algebra.id", "LinearMap.module", "LinearMap", "AddCommMonoid", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "NonAssocSemiring.toNonUnitalNonAssoc...
true
WithZero.instDivisionMonoid.match_1
Mathlib.Algebra.GroupWithZero.WithZero
[ "Unit.unit", "Option.casesOn", "Option.some", "Option.none", "Unit", "WithZero" ]
false
Lean.ClassState._sizeOf_inst
Lean.Class
[ "Lean.ClassState", "SizeOf.mk", "Lean.ClassState._sizeOf_1", "SizeOf" ]
false
SemilatInfCat.instConcreteCategoryInfTopHomX._proof_3
Mathlib.Order.Category.Semilat
[ "SemilatInfCat.isOrderTop", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatInfCat.isSemilatticeInf", "SemilatticeInf.toPartialOrder", "CategoryTheory.CategoryStruct.id", "InfTopHom.instFunLike", "id", "SemilatticeInf.toMin", "SemilatInfCat.X", "SemilatInfCat", "OrderTop.toTop", "Eq.refl...
false
UniformSpace.Completion.completionSeparationQuotientEquiv._proof_2
Mathlib.Topology.UniformSpace.Completion
[ "UniformSpace", "UniformSpace.Completion.map", "Eq.mpr", "UniformSpace.Completion.coe'", "SeparationQuotient.instUniformSpace", "SeparationQuotient.uniformContinuous_mk", "congrArg", "Continuous.comp", "UniformSpace.Completion.extension_coe", "SeparationQuotient.uniformContinuous_lift'", "Unifor...
false
of_eq_false
Init.SimpLemmas
[ "False", "False.elim", "Eq.mp", "Eq", "Not" ]
true
_private.Mathlib.NumberTheory.ZetaValues.0.bernoulliFun_mul._simp_1_2
Mathlib.NumberTheory.ZetaValues
[ "Semigroup", "Semigroup.toMul", "HMul.hMul", "mul_assoc", "Eq.symm", "Eq", "instHMul" ]
false
ContinuousLinearMapWOT.instAddCommGroup
Mathlib.Analysis.LocallyConvex.WeakOperatorTopology
[ "NormedCommRing.toNormedRing", "NormedRing.toRing", "AddCommGroup.toAddCommMonoid", "ContinuousLinearMapWOT", "AddCommGroup.toAddGroup", "RingHom", "NormedField.toField", "AddCommGroup", "Equiv.addCommGroup", "ContinuousLinearMap.addCommGroup", "Field.toSemifield", "NormedField", "Continuous...
true
Pi.instLTLexForall
Mathlib.Order.PiLex
[ "LT.mk", "Lex", "Pi.Lex", "LT.lt", "LT" ]
true
AlternatingMap.domLCongr._proof_1
Mathlib.LinearAlgebra.Alternating.Basic
[ "AlternatingMap", "LinearEquiv.symm", "AddCommMonoid", "instHAdd", "LinearEquiv.toLinearMap", "HAdd.hAdd", "RingHomInvPair.ids", "LinearEquiv", "Semiring", "AddCommSemigroup.toAddCommMagma", "Module", "AlternatingMap.instAddCommMonoid", "AddCommMonoid.toAddCommSemigroup", "RingHom.id", "...
false
Lean.Parser.Command.export._regBuiltin.Lean.Parser.Command.export.parenthesizer_13
Lean.Parser.Command
[ "Lean.Name.mkStr5", "IO", "Lean.PrettyPrinter.Parenthesizer", "Lean.PrettyPrinter.parenthesizerAttribute", "Unit", "Lean.Parser.Command.export.parenthesizer", "Lean.Name.mkStr4", "Lean.KeyedDeclsAttribute.addBuiltin" ]
false
Real.cos_add
Mathlib.Analysis.Complex.Trigonometric
[ "Real", "HMul.hMul", "Complex.cos", "Real.cos", "congrArg", "Real.instSub", "Complex.sin", "HSub.hSub", "Complex.instMul", "Complex.ofReal_add", "Complex.ofReal", "Complex.cos_add", "Real.instAdd", "instHAdd", "instHSub", "HAdd.hAdd", "Complex.ofReal_injective", "Real.instMul", "...
true
pointedToTwoPSndForgetCompBipointedToPointedSndAdjunction._proof_5
Mathlib.CategoryTheory.Category.TwoP
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Bipointed.toProd", "TwoP.toBipointed", "Pointed", "Bipointed.Hom.map_snd", "TwoP", "Bipointed.X", "pointedToTwoPSnd", "Pointed.largeCategory", "Bipointed", "TwoP.largeCategory", "CategoryTheory.Category.toCategoryStruct", "CategoryTh...
false
ArithmeticFunction.vonMangoldt_sum
Mathlib.NumberTheory.ArithmeticFunction.VonMangoldt
[ "ArithmeticFunction.vonMangoldt", "CharP.cast_eq_zero", "Iff.mpr", "instPowNat", "Eq.mpr", "Nat.Coprime", "NonAssocSemiring.toAddCommMonoidWithOne", "Nat.instMulZeroClass", "Real", "instHSMul", "Nat.Prime", "LinearOrderedCommMonoidWithZero.toIsBotZeroClass", "HMul.hMul", "ArithmeticFunctio...
true
IsEvenlyCovered.subtypeVal_comp
Mathlib.Topology.Covering.Basic
[ "Iff.mpr", "Set.ext", "Eq.mpr", "Equiv.instEquivLike", "Iff.of_eq", "congrArg", "Homeomorph.toEquiv", "DiscreteTopology", "exists_const._simp_1", "Set.mem_image._simp_1", "instInhabitedTrue", "instTopologicalSpaceProd", "Function.comp", "Membership.mem", "Exists", "Set.Elem", "exists...
true
Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula.ext
Std.Tactic.BVDecide.LRAT.Internal.Formula.Implementation
[ "HEq.refl", "_private.Std.Tactic.BVDecide.LRAT.Internal.Formula.Implementation.0.Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula.ext.match_1", "Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula.assignments", "Eq.casesOn", "Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula", "Array", "Std.Tactic.BVDecide....
true
Matrix.blockDiag'_transpose
Mathlib.Data.Matrix.Block
[ "Matrix", "Matrix.blockDiag'", "Matrix.transpose", "Eq", "Matrix.ext", "Sigma", "rfl" ]
true
Finmap.union_toFinmap
Mathlib.Data.Finmap
[ "AList.union", "Finmap.instUnion", "AList", "eq_self", "of_eq_true", "AList.instUnion", "Union.union", "Eq", "AList.toFinmap", "Finmap", "DecidableEq" ]
true
_private.Lean.Elab.MutualDef.0.Lean.Elab.Term.registerFailedToInferDefTypeInfo._sparseCasesOn_7
Lean.Elab.MutualDef
[ "Lean.Elab.DefKind.def", "Lean.Elab.DefKind.ctorIdx", "Lean.Elab.DefKind.instance", "Nat.ne_of_beq_eq_false", "Nat.shiftRight", "Lean.Elab.DefKind.rec", "Nat.hasNotBit", "Lean.Elab.DefKind.opaque", "instOfNatNat", "Lean.Elab.DefKind.abbrev", "Nat.land", "Nat", "Bool", "Eq.refl", "OfNat.o...
false
Std.Tactic.BVDecide.BVExpr.bitblast.instLawfulVecOperatorBinaryRefVecBlastUmod
Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.Umod
[ "Eq.mpr", "Std.Tactic.BVDecide.BVExpr.bitblast.blastUmod._proof_2", "Std.Sat.AIG.Ref.cast", "Std.Sat.AIG.Entrypoint.aig", "Std.Sat.AIG.Decl", "Std.Tactic.BVDecide.BVPred.instLawfulOperatorBinaryRefVecMkEq", "Std.Sat.AIG.LawfulVecOperator.le_size_of_le_aig_size", "Std.Tactic.BVDecide.BVExpr.bitblast.bl...
true