name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
_private.Mathlib.Combinatorics.Graph.Delete.0.Graph.deleteEdges_mono_left._simp_1_1
Mathlib.Combinatorics.Graph.Delete
[ "Graph", "Graph.deleteEdges", "Graph.restrict_edgeSet_diff_eq_deleteEdges", "SDiff.sdiff", "Graph.edgeSet", "Eq.symm", "Eq", "Set.instSDiff", "Graph.restrict", "Set" ]
false
_private.Lean.Declaration.0.Lean.ConstantInfo.value?._sparseCasesOn_1
Lean.Declaration
[ "Lean.ConstantInfo.recInfo", "Lean.ConstantInfo.defnInfo", "Lean.ConstructorVal", "Nat.ne_of_beq_eq_false", "Lean.QuotVal", "Lean.ConstantInfo.inductInfo", "Lean.ConstantInfo.opaqueInfo", "Nat.shiftRight", "Lean.ConstantInfo.thmInfo", "Nat.hasNotBit", "Lean.ConstantInfo.rec", "instOfNatNat", ...
false
Lean.Meta.PostponedEntry.ctorIdx
Lean.Meta.Basic
[ "Lean.Meta.PostponedEntry", "Nat" ]
false
Std.TreeSet.getD_insert
Std.Data.TreeSet.Lemmas
[ "Std.TreeSet", "Std.TreeSet.getD", "Unit.unit", "instDecidableNot", "instDecidableEqOrdering", "Membership.mem", "Ordering", "Std.TreeSet.insert", "Std.TreeSet.inner", "Ordering.eq", "Std.TransCmp", "Std.TreeSet.instDecidableMem", "And", "Unit", "instDecidableAnd", "Eq", "Std.TreeMap...
true
LieDerivation.instLieAlgebra._proof_1
Mathlib.Algebra.Lie.Derivation.Basic
[ "LieAlgebra.toModule", "CommRing", "instHSMul", "SemilinearMapClass.toMulActionSemiHomClass", "LieDerivation", "LieRing.toAddCommGroup", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "Bracket.bracket", "HS...
false
_private.Lean.Data.PersistentHashMap.0.Lean.PersistentHashMap.insertAux.match_3
Lean.Data.PersistentHashMap
[ "Lean.PersistentHashMap.Entry.entry", "Unit.unit", "Lean.PersistentHashMap.Entry", "Lean.PersistentHashMap.Entry.ref", "Lean.PersistentHashMap.Node", "Lean.PersistentHashMap.Entry.casesOn", "Lean.PersistentHashMap.Entry.null", "Unit" ]
false
OrderHomClass
Mathlib.Order.Hom.Basic
[ "outParam", "LE.le", "LE", "RelHomClass", "FunLike" ]
true
lineDerivWithin.eq_1
Mathlib.Analysis.Calculus.LineDeriv.Basic
[ "instHSMul", "NormedSpace", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "NormedField.toField", "AddZeroClass.toAddZero", "AddCommGroup", "DistribSMul.toSMulZ...
true
Std.Sat.AIG.IsPrefix.of._flat_ctor
Std.Sat.AIG.LawfulOperator
[ "Std.Sat.AIG.Decl", "Std.Sat.AIG.IsPrefix.of", "LE.le", "instLENat", "Array", "GetElem.getElem", "Std.Sat.AIG.IsPrefix", "Array.instGetElemNatLtSize", "Nat", "LT.lt", "instLTNat", "Std.Sat.AIG.IsPrefix._proof_2", "Eq", "Array.size" ]
false
GenContFract.zeroth_den_eq_one
Mathlib.Algebra.ContinuedFractions.Translations
[ "GenContFract.dens", "AddGroupWithOne.toAddMonoidWithOne", "DivisionRing.toRing", "instOfNatNat", "GenContFract", "AddMonoidWithOne.toOne", "Nat", "One.toOfNat1", "DivisionRing", "OfNat.ofNat", "Eq", "Ring.toAddGroupWithOne", "rfl" ]
true
Lean.MonadCacheT.instAlternative
Lean.Util.MonadCache
[ "Alternative.mk", "Monad.toApplicative", "Lean.MonadCacheT", "Lean.MonadCacheT.instMonad", "Lean.MonadCacheT.instAlternative._aux_3", "Alternative", "Lean.MonadCacheT.instAlternative._aux_1", "Hashable", "Monad", "BEq", "STWorld" ]
true
_private.Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unital.0._auto_245
Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unital
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
_private.Lean.Meta.Tactic.Grind.Arith.Simproc.0._regBuiltin.Lean.Meta.Grind.Arith.normFieldInv.declare_24._@.Lean.Meta.Tactic.Grind.Arith.Simproc.1655774764._hygCtx._hyg.12
Lean.Meta.Tactic.Grind.Arith.Simproc
[ "Lean.Name.mkStr5", "IO", "Lean.Meta.DiscrTree.Key.star", "Lean.Meta.DiscrTree.Key", "instOfNatNat", "Lean.Meta.Grind.Arith.normFieldInv", "List.toArray", "List.cons", "Unit", "Nat", "Lean.Meta.Simp.registerBuiltinSimproc", "Lean.Name.mkStr2", "OfNat.ofNat", "Lean.Meta.DiscrTree.Key.const"...
false
ZMod.erdos_ginzburg_ziv
Mathlib.Combinatorics.Additive.ErdosGinzburgZiv
[ "Int.cast", "Int.instAddCommMonoid", "Dvd.dvd", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "ZMod.cast", "CommRing.toNonUnitalCommRing", "ZMod.commRing", "Int.erdos_ginzburg_ziv", "AddCommMonoidWithOne.toAddCommMonoid", "congrArg", "CommSemiring.toSemiring", "Finset", "HS...
true
HomologicalComplex.dgoToHomologicalComplex
Mathlib.Algebra.Homology.DifferentialObject
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Functor", "HomologicalComplex.instCategory", "instHSMul", "HomologicalComplex.dgoToHomologicalComplex._proof_1", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HomologicalComplex.Hom.mk", "AddCommGroup.toAddCommMonoid", "Homologic...
true
Lean.Meta.Grind.Arith.Linear.Struct.recOn
Lean.Meta.Tactic.Grind.Arith.Linear.Types
[ "Lean.PHashMap", "Lean.Meta.Grind.Arith.Linear.EqCnstr", "Rat", "Lean.Meta.Grind.Arith.Linear.instHashablePoly_lean", "Lean.PArray", "Lean.Meta.Grind.Arith.Linear.VarSet", "Lean.Expr", "Lean.FVarId", "Lean.Level", "Lean.Grind.Linarith.Var", "Lean.Meta.Grind.Arith.Linear.Struct", "List", "Lea...
false
CategoryTheory.MorphismProperty.of_pullback_fst_of_descendsAlong
Mathlib.CategoryTheory.MorphismProperty.Descent
[ "CategoryTheory.MorphismProperty", "CategoryTheory.Limits.pullback", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.pullback.snd", "CategoryTheory.MorphismProperty.DescendsAlong", "CategoryTheory.MorphismProperty.of_isPullback_of_descendsAlong", "CategoryTheory.Limits.H...
true
_private.Lean.Meta.Hint.0.Lean.Meta.Hint.mkSuggestionsMessage._sparseCasesOn_5
Lean.Meta.Hint
[ "Lean.Meta.Hint.DiffGranularity.word", "Lean.Meta.Hint.DiffGranularity.ctorIdx", "Nat.ne_of_beq_eq_false", "Lean.Meta.Hint.DiffGranularity", "Nat.shiftRight", "Lean.Meta.Hint.DiffGranularity.auto", "Nat.hasNotBit", "instOfNatNat", "Lean.Meta.Hint.DiffGranularity.all", "Lean.Meta.Hint.DiffGranulari...
false
Lean.PrettyPrinter.Formatter.State.mk.injEq
Lean.PrettyPrinter.Formatter
[ "Eq.propIntro", "Lean.PrettyPrinter.Formatter.State.mk", "String", "Lean.injEq_helper", "Lean.PrettyPrinter.Formatter.State", "Array", "Lean.Syntax.Traverser", "And", "Std.Format", "Bool", "Eq.ndrec", "Eq.refl", "Lean.PrettyPrinter.Formatter.State.mk.inj", "Eq" ]
true
UInt16.size_dvd_usizeSize
Init.Data.UInt.Lemmas
[ "Dvd.dvd", "congrArg", "Nat.decidable_dvd", "UInt16.size", "instOfNatNat", "Or.casesOn", "Bool.true", "USize.size_eq", "Nat.instDvd", "eq_true_of_decide", "Nat", "True", "Bool", "of_eq_true", "Eq.refl", "Or.inl", "Or", "USize.size", "OfNat.ofNat", "Eq", "Or.inr", "Eq.trans"...
true
instIsLocalizedModuleToLinearMapToAlgHomOfIsLocalizationAlgebraMapSubmonoid
Mathlib.Algebra.Module.LocalizedModule.IsLocalization
[ "Iff.mpr", "AlgHom.toLinearMap", "IsLocalization", "CommSemiring.toSemiring", "IsScalarTower", "IsLocalizedModule", "IsScalarTower.toAlgHom", "Algebra", "Algebra.toSMul", "Algebra.toModule", "isLocalizedModule_iff_isLocalization", "MulZeroOneClass.toMulOneClass", "instMulZeroOneClassOfSemiri...
true
_private.Init.Data.BitVec.Bitblast.0.BitVec.msb_sdiv_eq_decide._simp_1_15
Init.Data.BitVec.Bitblast
[ "Decidable", "propext", "Decidable.not_not", "Eq", "Not" ]
false
Std.HashSet.Raw.containsThenInsert_fst
Std.Data.HashSet.RawLemmas
[ "Unit.unit", "Std.HashSet.Raw.inner", "Std.HashSet.Raw.contains", "Std.HashSet.Raw.WF", "Std.HashMap.Raw.containsThenInsertIfNew_fst", "Prod.fst", "Unit", "Std.HashSet.Raw.WF.out", "Bool", "Hashable", "BEq", "Std.HashSet.Raw.containsThenInsert", "Eq", "Std.HashSet.Raw" ]
true
spectrum.zero_notMem
Mathlib.Algebra.Algebra.Spectrum.Basic
[ "Iff.mpr", "spectrum", "CommSemiring.toSemiring", "spectrum.zero_notMem_iff", "IsUnit", "Algebra", "Membership.mem", "CommSemiring", "Semiring.toMonoid", "Zero.toOfNat0", "OfNat.ofNat", "Ring.toSemiring", "Set.instMembership", "Ring", "Not", "MulZeroClass.toZero", "instMulZeroClassOf...
true
Std.ExtTreeMap.getKey?_minKey!
Std.Data.ExtTreeMap.Lemmas
[ "Std.ExtTreeMap.minKey!", "Std.ExtTreeMap.getKey?", "Option.some", "Std.ExtTreeMap.mk", "Ordering", "mt", "Ne", "Std.ExtDTreeMap.instEmptyCollection", "Std.TransCmp", "Std.ExtTreeMap", "_private.Std.Data.ExtTreeMap.Lemmas.0.Std.ExtTreeMap.ext", "Std.ExtTreeMap.inner", "Std.ExtDTreeMap", "S...
true
AffineEquiv.mk
Mathlib.LinearAlgebra.AffineSpace.AffineEquiv
[ "Equiv.instEquivLike", "AddMonoid.toAddSemigroup", "AddCommGroup.toAddCommMonoid", "AddCommGroup.toAddGroup", "AddCommGroup", "Equiv", "AffineEquiv.mk", "HVAdd.hVAdd", "AddAction.toAddSemigroupAction", "AddSemigroupAction.toVAdd", "AddGroup.toSubNegMonoid", "AddTorsor.toAddAction", "RingHomI...
true
_private.Mathlib.Data.List.Cycle.0.List.next_getLast_eq_head_of_notMem_dropLast._proof_1_1
Mathlib.Data.List.Cycle
[ "List.getLast", "Ne", "instOfNatNat", "List", "Nat", "LT.lt", "List.getLast_mem", "instLTNat", "OfNat.ofNat", "List.length", "List.length_pos_of_mem", "List.nil" ]
false
Btw.btw.antisymm
Mathlib.Order.Circular
[ "CircularPartialOrder.toCircularPreorder", "CircularPreorder.toBtw", "CircularPartialOrder", "Btw.btw", "Or", "Eq", "CircularPartialOrder.btw_antisymm" ]
true
isEllDivSequence_id
Mathlib.NumberTheory.EllipticDivisibilitySequence
[ "isEllSequence_id", "id", "IsEllSequence", "Int", "isDivSequence_id", "IsEllDivSequence", "Int.instCommRing", "And.intro", "IsDivSequence" ]
true
Concept.intent_swap
Mathlib.Order.Concept
[ "Function.swap", "Concept.intent", "Concept.extent", "Concept", "Concept.swap", "Eq.refl", "Eq", "Set" ]
true
MeasureTheory.Ioo_ae_eq_Ioc'
Mathlib.MeasureTheory.Measure.MeasureSpace
[ "MeasureTheory.ae", "Set.Ioc", "MeasureTheory.Iio_ae_eq_Iic'", "MeasureTheory.Measure", "Preorder.toLT", "PartialOrder.toPreorder", "Filter.EventuallyEq.inter", "Preorder.toLE", "PartialOrder", "Filter.EventuallyEq", "Set.instSingletonSet", "MeasureTheory.ae_eq_refl", "MeasurableSpace", "E...
true
SkewMonoidAlgebra.toFinsupp_eq_zero._simp_1
Mathlib.Algebra.SkewMonoidAlgebra.Basic
[ "AddMonoid.toAddZeroClass", "SkewMonoidAlgebra.instZero", "AddZeroClass.toAddZero", "SkewMonoidAlgebra.toFinsupp", "AddZero.toZero", "AddMonoid", "propext", "SkewMonoidAlgebra", "Zero.toOfNat0", "SkewMonoidAlgebra.toFinsupp_eq_zero", "Finsupp.instZero", "OfNat.ofNat", "Eq", "Finsupp" ]
false
ArithmeticFunction.vonMangoldt.residueClass_apply
Mathlib.NumberTheory.LSeries.PrimesInAP
[ "ArithmeticFunction.vonMangoldt", "DirichletCharacter.fintype", "Iff.mpr", "IsSepClosed.hasEnoughRootsOfUnity", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "Nat.instMulZeroClass", "Real", "Set.indicator_apply", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "GroupWithZero.toDivisionMonoid", ...
true
TopologicalSpace.CompactOpens.coe_inf
Mathlib.Topology.Sets.Compacts
[ "Set.instInter", "TopologicalSpace.CompactOpens", "Inter.inter", "TopologicalSpace", "SetLike.coe", "TopologicalSpace.CompactOpens.instInf", "Eq", "QuasiSeparatedSpace", "TopologicalSpace.CompactOpens.instSetLike", "Min.min", "rfl", "Set" ]
true
AlgEquiv.aut_inv
Mathlib.Algebra.Algebra.Equiv
[ "DivInvOneMonoid.toInvOneClass", "AlgEquiv.symm", "Algebra", "Group.toDivisionMonoid", "DivisionMonoid.toDivInvOneMonoid", "CommSemiring", "Inv.inv", "AlgEquiv", "AlgEquiv.aut", "Semiring", "InvOneClass.toInv", "Eq", "rfl" ]
true
_private.Mathlib.NumberTheory.NumberField.Completion.FinitePlace.0.NumberField.FinitePlace.add_le._proof_1_5
Mathlib.NumberTheory.NumberField.Completion.FinitePlace
[ "Int.instAddCommGroup", "Multiplicative.linearOrder", "NumberField.RingOfIntegers.instIsFractionRing", "NumberField.instCommRingRingOfIntegers", "AddGroupWithOne.toAddGroup", "Int.instLinearOrder", "IsDedekindDomain.HeightOneSpectrum", "NumberField.RingOfIntegers.instAlgebra_1", "Field.toDivisionRin...
false
MeasureTheory.L2.instInnerSubtypeAEEqFunMemAddSubgroupLpOfNatENNReal._proof_1
Mathlib.MeasureTheory.Function.L2Space
[ "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "SeminormedAddCommGroup.toPseudoMetricSpace", "SeminormedAddCommGroup.toAddCommGroup", "SeminormedAddCommGroup.toIsTopologicalAddGroup", "NormedAddCommGroup.toSeminormedAddCommGroup", "UniformSpace.toTopologicalSpace", "NormedAddCommGroup"...
false
FinBddDistLat.forget_map
Mathlib.Order.Category.FinBddDistLat
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "FinBddDistLat.instBoundedOrderCarrier", "BoundedLatticeHom.instFunLike", "TypeCat.instFunLikeFun", "FinBddDistLat.instDistribLatticeCarrier", "DistribLattice.toLattice", "FinBddDistLat.instConcreteCategor...
true
Pi.zero_apply
Mathlib.Algebra.Notation.Pi.Defs
[ "Pi.instZero", "Zero.toOfNat0", "OfNat.ofNat", "Eq", "rfl", "Zero" ]
true
List.toList_iter
Init.Data.Iterators.Lemmas.Producers.List
[ "Pure.pure", "List.toList_iterM", "Std.Iterators.Types.ListIterator.instFinite", "Std.Iterators.Types.ListIterator", "congrArg", "Monad.toApplicative", "Std.IterM.toIter", "Id.run", "Id", "Applicative.toPure", "List.iter", "List.iterM", "List", "Std.Iterators.Types.ListIterator.instIterato...
true
_private.Mathlib.RingTheory.MvPowerSeries.Evaluation.0.MvPolynomial.toMvPowerSeries_uniformContinuous._simp_1_2
Mathlib.RingTheory.MvPowerSeries.Evaluation
[ "Preorder.toLE", "Membership.mem", "LE.le", "propext", "Set.mem_Iic", "Set.Iic", "Eq", "Set.instMembership", "Preorder", "Set" ]
false
Std.Tactic.BVDecide.BVLogicalExpr.eval
Std.Tactic.BVDecide.Bitblast.BVExpr.Basic
[ "Std.Tactic.BVDecide.BoolExpr.eval", "Bool", "Std.Tactic.BVDecide.BVPred.eval", "Std.Tactic.BVDecide.BVLogicalExpr", "Std.Tactic.BVDecide.BVExpr.Assignment", "Std.Tactic.BVDecide.BVPred" ]
true
Lean.Meta.RefinedDiscrTree.instToFormatLazyEntry
Mathlib.Lean.Meta.RefinedDiscrTree.Basic
[ "Std.ToFormat", "Lean.Meta.RefinedDiscrTree.LazyEntry", "Lean.Meta.RefinedDiscrTree.LazyEntry.format", "Std.ToFormat.mk" ]
true
CategoryTheory.regularOfIsPullbackSndOfRegular._proof_2
Mathlib.CategoryTheory.Limits.Shapes.RegularMono
[ "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "congrArg", "CategoryTheory.Limits.walkingParallelPairHomCategory", "id", "CategoryTheory.Limits.Fork", "CategoryTheory.Limits.Cone.pt", "CategoryTheory...
false
Set.mem_Icc
Mathlib.Order.Interval.Set.Defs
[ "Iff.rfl", "Preorder.toLE", "Membership.mem", "LE.le", "And", "Iff", "Set.Icc", "Set.instMembership", "Preorder", "Set" ]
true
HahnSeries.single_eq_zero
Mathlib.RingTheory.HahnSeries.Basic
[ "ZeroHom.funLike", "HahnSeries.single", "PartialOrder", "HahnSeries.instZero", "ZeroHom", "Zero.toOfNat0", "ZeroHom.map_zero", "OfNat.ofNat", "HahnSeries", "Eq", "DFunLike.coe", "Zero" ]
true
Sym2.mk_prod_swap_eq
Mathlib.Data.Sym.Sym2
[ "Sym2.mk", "Sym2.eq_swap", "Eq", "Sym2" ]
true
AddMonoid.End.ext
Mathlib.Algebra.Group.Hom.Defs
[ "DFunLike.ext", "AddZero", "AddMonoid.End.instFunLike", "AddMonoid.End", "Eq", "DFunLike.coe" ]
true
LieRinehartAlgebra.mk
Mathlib.Algebra.LieRinehartAlgebra.Defs
[ "LieAlgebra.toModule", "CommRing", "LieRing.toAddCommGroup", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "IsScalarTower", "AddMonoid.toAddZeroClass", "Algebra", "AddCommGroup.toAddGroup", "Algebra.toSMul", "AddZeroClass.toAddZero", "DistribSMu...
true
Std.Do.PostCond.entails.trans
Std.Do.PostCond
[ "Std.Do.SPred.entails", "Std.Do.PostCond.entails", "Std.Do.SPred.entails.trans", "Std.Do.PostCond", "Std.Do.Assertion", "Std.Do.PostShape", "Std.Do.ExceptConds.entails", "Prod.fst", "Std.Do.ExceptConds.entails.trans", "And.right", "And.left", "And.intro", "Std.Do.PostShape.args", "Prod.snd...
true
uniformity_eq_comap_mul_inv_nhds_one
Mathlib.Topology.Algebra.IsUniformGroup.Defs
[ "UniformSpace", "InvOneClass.toOne", "HMul.hMul", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "uniformity", "Group", "Group.toDivisionMonoid", "DivisionMonoid.toDivInvOneMonoid", "nhds", "MulOne.toMul", "DivInvMonoid.toMonoid", "Prod.fst", "Group.toDivInvMonoid", "IsRightUni...
true
_private.Lean.Elab.Binders.0.Lean.Elab.Term.expandMatchAltsIntoMatchAux._unsafe_rec
Lean.Elab.Binders
[ "Pure.pure", "Lean.Syntax.node", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Syntax.ident", "Lean.identKind", "Array.push", "Lean.SourceInfo", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.Syntax.Ident", "Array.mkArray0", "Lean.Syntax.atom", "Lean.TSyntax.mk", "Lean.Synt...
false
MeasureTheory.closedCompactCylinders.eq_1
Mathlib.MeasureTheory.Constructions.ClosedCompactCylinders
[ "Pi.topologicalSpace", "Finset", "Membership.mem", "Set.instSingletonSet", "Subtype", "MeasureTheory.closedCompactCylinders", "MeasureTheory.cylinder", "IsClosed", "TopologicalSpace", "Finset.instSetLike", "Eq.refl", "Singleton.singleton", "Subtype.val", "Eq", "Set.iUnion", "SetLike.in...
true
Aesop.RulePatternIndex.getSingle
Aesop.Index.RulePattern
[ "Pure.pure", "_private.Aesop.Index.RulePattern.0.Aesop.RulePatternIndex.getSingle.match_4", "Aesop.BaseM", "Aesop.RuleName", "StateRefT'.instAlternativeOfMonad", "Aesop.RulePatternIndex", "ReaderT", "Aesop.RulePatternIndex.isEmpty", "Lean.Meta.State", "instMonadLiftT", "Array.filterMapM", "Opt...
true
UniformConvergenceCLM.coe_zero
Mathlib.Topology.Algebra.Module.Spaces.UniformConvergenceCLM
[ "UniformConvergenceCLM.instAddCommGroup", "AddCommGroup.toAddCommMonoid", "AddCommGroup.toAddGroup", "RingHom", "NormedField.toField", "AddCommGroup", "Pi.instZero", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "UniformConvergenceCLM.instFunLike", "SubtractionCommMo...
true
Ideal.mul_add_mem_pow_succ_unique
Mathlib.RingTheory.Ideal.Norm.AbsNorm
[ "Mathlib.Tactic.Ring.Common.mul_pf_left", "Mathlib.Tactic.Ring.Common.neg_zero", "Eq.mpr", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.Ring.Common.neg_mul", "CommRing", "Semiring.toModule", "Mathlib.Tactic.Ring.Common.neg_add", "Mathlib.Tactic.Ring.Common.mul_c...
true
Std.ExtHashMap.size_alter_eq_add_one
Std.Data.ExtHashMap.Lemmas
[ "Std.ExtHashMap.inner", "Membership.mem", "instOfNatNat", "Std.ExtHashMap.alter", "LawfulHashable", "Std.ExtHashMap.size", "Std.ExtHashMap", "Bool.true", "instHAdd", "EquivBEq", "Std.ExtDHashMap.Const.size_alter_eq_add_one", "HAdd.hAdd", "Nat", "Bool", "instAddNat", "Hashable", "GetE...
true
_private.Std.Sync.Channel.0.Std.CloseableChannel.Bounded.send
Std.Sync.Channel
[ "Inhabited.default", "Task", "instInhabitedTask", "instInhabitedOfMonad", "instInhabitedPUnit", "Std.CloseableChannel.Error", "Except.instMonad", "_private.Std.Sync.Channel.0.Std.CloseableChannel.Bounded", "Unit", "instMonadBaseIO", "Except", "BaseIO" ]
true
TopologicalSpace.IrreducibleCloseds.equivSubtype'._proof_1
Mathlib.Topology.Sets.Closeds
[ "Function.LeftInverse", "IsIrreducible", "TopologicalSpace.IrreducibleCloseds.carrier", "Subtype", "TopologicalSpace.IrreducibleCloseds.isIrreducible'", "Subtype.mk", "TopologicalSpace.IrreducibleCloseds", "IsClosed", "TopologicalSpace", "And", "And.right", "And.left", "TopologicalSpace.Irre...
false
YoungDiagram.equivListRowLens._proof_3
Mathlib.Combinatorics.Young.YoungDiagram
[ "YoungDiagram.pos_of_mem_rowLens", "Membership.mem", "YoungDiagram.equivListRowLens._proof_2", "Subtype", "instOfNatNat", "List", "And", "YoungDiagram.rowLens", "List.instMembership", "And.left", "Nat.instPreorder", "Nat", "And.intro", "LT.lt", "List.SortedGE", "instLTNat", "OfNat.of...
false
LieAlgebra.ofTwoCocycle._sizeOf_inst
Mathlib.Algebra.Lie.Extension
[ "LieAlgebra.toModule", "Submodule", "CommRing", "LieRing.toAddCommGroup", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "LinearMap.instSMulCommClass", "Submodule.addCommMonoid", "Membership.mem", "LieAlgebra.ofTwoCocycle._sizeOf_1", "AddCommGroup"...
false
AffineMap.nonempty
Mathlib.LinearAlgebra.AffineSpace.AffineMap
[ "AddCommGroup.toAddCommMonoid", "AddCommGroup.toAddGroup", "AddCommGroup", "AddTorsor.nonempty", "AffineMap", "AffineMap.const", "AddTorsor", "Nonempty", "Nonempty.map", "Module", "Ring.toSemiring", "Ring" ]
true
_private.Mathlib.Algebra.Order.Archimedean.Submonoid.0.SubmonoidClass.instMulArchimedean._simp_1
Mathlib.Algebra.Order.Archimedean.Submonoid
[ "Subtype.coe_lt_coe", "Subtype", "LT.lt", "propext", "Subtype.instLT", "Eq.symm", "Subtype.val", "Eq", "LT" ]
false
Submodule.span_prod_le
Mathlib.LinearAlgebra.Span.Basic
[ "Iff.mpr", "Set.instSProd", "Submodule", "SProd.sprod", "PartialOrder.toPreorder", "Preorder.toLE", "HasSubset.Subset", "Submodule.instPartialOrder", "Submodule.prod", "LE.le", "AddCommMonoid", "SetLike.coe", "Submodule.setLike", "Submodule.span", "Semiring", "Set.prod_mono", "Submod...
true
EReal.zero_mul
Mathlib.Data.EReal.Basic
[ "_private.Mathlib.Data.EReal.Basic.0.EReal.zero_mul.match_1_1", "Real", "Preorder.toLT", "lt_irrefl", "HMul.hMul", "Real.instZero", "MulZeroClass.zero_mul", "Real.decidableLT", "EReal", "Real.semiring", "instTopEReal", "Bot.bot", "instZeroEReal", "if_pos", "congr_arg", "Unit", "Real....
true
Subfield.instSMulWithZeroSubtypeMem
Mathlib.Algebra.Field.Subfield.Basic
[ "Subfield.instSMulWithZeroSubtypeMem._proof_2", "Ring.toNonAssocRing", "AddGroupWithOne.toAddGroup", "SMulWithZero.toSMulZeroClass", "Subfield.instSubfieldClass", "AddMonoid.toAddZeroClass", "AddGroupWithOne.toAddMonoidWithOne", "NonUnitalNonAssocSemiring.toMulZeroClass", "Membership.mem", "Divisi...
true
_private.Mathlib.RingTheory.Invariant.Basic.0.Algebra.IsInvariant.orbit_eq_primesOver.match_1_1
Mathlib.RingTheory.Invariant.Basic
[ "Submodule.instAddCommMonoidWithOne", "CommRing", "instHSMul", "Semiring.toModule", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "Group", "Membership.mem", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "DivInvMonoid.toMonoid", "AddCommMo...
false
HasFDerivAtFilter.finCons
Mathlib.Analysis.Calculus.FDeriv.Prod
[ "Iff.mpr", "Pi.addCommMonoid", "NormedSpace", "Pi.topologicalSpace", "Fin.succ", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "Pi.module", "PseudoMetricSpace.toUniformSpace", "Fin.cons", "HasFDerivAtFilter", "NormedField.toField", "Fin.instOfNat", "instOfNatNat", "Field.toSemi...
true
_private.Lean.Server.FileWorker.SignatureHelp.0.Lean.Server.FileWorker.SignatureHelp.findSignatureHelp?.match_1
Lean.Server.FileWorker.SignatureHelp
[ "Lean.Syntax.Range", "Option.ctorIdx", "Option.some", "Nat.hasNotBit", "_private.Lean.Server.FileWorker.SignatureHelp.0.Lean.Server.FileWorker.SignatureHelp.determineSignatureHelp._sparseCasesOn_6", "Option" ]
false
SSet.spine_vertex
Mathlib.AlgebraicTopology.SimplicialSet.Path
[ "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.ConcreteCategory.hom", "Quiver.Hom.op", "TypeCat.instFunLikeFun", "instOfNatNat", "SSet", "CategoryTheory.Functor.map", "instHAdd", "SimplexCategory.const", "TypeCat.Fun", "HAdd.hAdd", "SimplexCategory.mk", "Opposite.op"...
true
AlgebraicGeometry.Scheme.IdealSheafData.mkOfMemSupportIff
Mathlib.AlgebraicGeometry.IdealSheaf.Basic
[ "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "CommRingCat.Hom.hom", "Semiring.toModule", "Opposite", "CommRingCat.carrier", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "TopologicalSpace.Opens.instPartialOr...
true
IsPrecomplete.rec
Mathlib.RingTheory.AdicCompletion.Basic
[ "Submodule", "CommRing", "instHSMul", "Semiring.toModule", "IsScalarTower.right", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Exists", "AddCommGroup", "Algebra.id", "Submodule.instTop", "LE.le", "instLENat", "Ideal", "IsPrecomplete", "IsScalarTower.left", "CommRing.to...
false
MeasureTheory.setLIntegral_subtype
Mathlib.MeasureTheory.Integral.Lebesgue.Map
[ "Iff.mpr", "Eq.mpr", "MeasureTheory.Measure", "MeasurableSet", "congrArg", "Membership.mem", "MeasureTheory.Measure.restrict", "Set.Elem", "MeasureTheory.lintegral_subtype_comap", "id", "Subtype", "Subtype.coe_image_subset", "HasSubset.Subset", "MeasureTheory.Measure.restrict_restrict", ...
true
HomologicalComplex.doubleXIso₁._proof_1
Mathlib.Algebra.Homology.Double
[ "Eq.mpr", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "HomologicalComplex.double", "Classical.propDecidable", "id", "Ne", "Ne.symm", "ComplexShape", "if_pos", "CategoryTheory.Limits.HasZeroObject", "Zero.toOfNat0", "Eq.ref...
false
MeasureTheory.IsAddFundamentalDomain.setLIntegral_eq_tsum'
Mathlib.MeasureTheory.Group.FundamentalDomain
[ "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "SubtractionMonoid.toInvolutiveNeg", "MeasureTheory.MeasurePreserving.setLIntegral_comp_emb", "Trans.trans", "MeasureTheory.Measure", "MeasurableConstVAdd", "Equiv.instEquivLike", "AddMonoid.toAddSemigroup", "ENNReal.instAddCommMonoid", "cong...
true
pseudoEMetricSpacePi._proof_1
Mathlib.Topology.EMetricSpace.Pi
[ "ENNReal.instCanonicallyOrderedAdd", "PseudoEMetricSpace.toWeakPseudoEMetricSpace", "Finset.univ", "instReflLe", "congrArg", "Finset", "OrderBot.toBot", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "Preorder.toLE", "Std.le_refl._simp_1", "Membership.mem", "AddZeroClass.toAddZero", ...
false
Lean.Widget.RpcEncodablePacket.mk.sizeOf_spec._@.Lean.Server.FileWorker.WidgetRequests.2734021171._hygCtx._hyg.1
Lean.Server.FileWorker.WidgetRequests
[ "Lean.Widget.RpcEncodablePacket._sizeOf_inst._@.Lean.Server.FileWorker.WidgetRequests.2734021171._hygCtx._hyg.1", "Lean.Json", "Lean.Widget.RpcEncodablePacket._@.Lean.Server.FileWorker.WidgetRequests.2734021171._hygCtx._hyg.1", "instOfNatNat", "Lean.Json._sizeOf_inst", "instHAdd", "HAdd.hAdd", "Nat", ...
false
conj_zpow
Mathlib.Algebra.Group.Conj
[ "zpow_natCast", "Eq.mpr", "Semigroup.toMul", "DivInvMonoid.toInv", "HMul.hMul", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "congrArg", "zpow_negSucc", "mul_assoc", "DivInvMonoid.toZPow", "Group", "Group.toDivisionMonoid", "Int.casesOn", "conj_pow", "DivisionMonoid.toDivIn...
true
Nat.cast_le_pow_sub_div_sub
Mathlib.Algebra.Order.Field.Power
[ "IsRightCancelAdd.addRightStrictMono_of_addRightMono", "Iff.mpr", "sub_pos", "AddGroup.toSubtractionMonoid", "GroupWithZero.toMonoidWithZero", "NegZeroClass.toNeg", "Preorder.toLT", "instHDiv", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "AddLeftCancelSemigroup.toIsLeftCancelAd...
true
WType.Listα.cons.noConfusion
Mathlib.Data.W.Constructions
[ "id", "WType.Listα", "WType.Listα.cons", "heq_of_eq", "Eq.refl", "HEq", "Eq", "WType.Listα.noConfusion" ]
false
SchwartzMap.norm_fourier_Lp_top_leq_toLp_one
Mathlib.Analysis.Distribution.SchwartzSpace.Fourier
[ "Norm.norm", "Eq.mpr", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "MulOne.toOne", "SchwartzMap.seminorm_le_bound", "Real.instLE", "Real", "instIsAddHaarMeasureVolume", "measureSpaceOfInnerProductSpace", "HMul.hMul", "MeasureTheory.Measure.IsAddHaarMeasure.instHas...
true
MeasureTheory.VectorMeasure.«_aux_Mathlib_MeasureTheory_VectorMeasure_Integral___delab_app_MeasureTheory_VectorMeasure_term∫ᵛ_,_∂•__1»
Mathlib.MeasureTheory.VectorMeasure.Integral
[ "Pure.pure", "Lean.Syntax.node", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "Mathlib.Notation3.MatchState.empty", "Mathlib.Notation3.withHeadRefIfTagAppFns", "Mathlib.Notation3.matchApp", "Lean.PrettyPrinter.Delaborator.instMonadReaderOfSubExprDelabM", "Lean.SourceInfo", "Lean.PrettyPrinter...
false
_private.Lean.Environment.0.Lean.EnvExtension.modifyState.match_14
Lean.Environment
[ "Unit.unit", "Lean.EnvExtension.AsyncMode.local", "Nat.hasNotBit", "Lean.EnvExtension.AsyncMode", "Unit", "Lean.EnvExtension.AsyncMode.ctorIdx", "_private.Lean.Environment.0.Lean.EnvExtension.modifyState._sparseCasesOn_14", "Lean.EnvExtension.AsyncMode.mainOnly" ]
false
SubMulAction.instSMulSubtypeMem.eq_1
Mathlib.GroupTheory.GroupAction.SubMulAction
[ "SubMulAction.instSetLike", "instHSMul", "SMul", "SubMulAction.instSMulSubtypeMem._proof_1", "Membership.mem", "Subtype", "SMul.mk", "Subtype.mk", "Eq.refl", "HSMul.hSMul", "SubMulAction.instSMulSubtypeMem", "Subtype.val", "Eq", "SubMulAction", "SetLike.instMembership" ]
true
derivationToSquareZeroOfLift._proof_5
Mathlib.RingTheory.Derivation.ToSquareZero
[ "Ideal.mem_bot", "Ideal.Quotient.isScalarTower", "Mathlib.Tactic.Ring.Common.mul_pf_left", "Mathlib.Tactic.Ring.Common.neg_zero", "Eq.mpr", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.Ring.Common.neg_mul", "RingHom.instRingHomClass", "CommRing", "instHSMul", ...
false
AddUnits.neg_val
Mathlib.Algebra.Group.Units.Defs
[ "AddUnits.val", "AddMonoid.toAddSemigroup", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "AddZero.toZero", "instHAdd", "AddSemigroup.toAdd", "HAdd.hAdd", "AddMonoid", "Zero.toOfNat0", "OfNat.ofNat", "AddUnits.neg", "Eq", "AddUnits" ]
true
USize.shiftLeft_zero
Init.Data.UInt.Bitwise
[ "congrArg", "HShiftLeft.hShiftLeft", "BitVec", "BitVec.zero_umod", "instHMod", "BitVec.instHShiftLeftNat", "instOfNatNat", "BitVec.toNat", "BitVec.ofNat", "Nat.cast", "BitVec.shiftLeft_zero", "System.Platform.numBits", "USize.toBitVec", "_private.Init.Data.UInt.Bitwise.0.USize.shiftLeft_ze...
true
CategoryTheory.Grp.mkIso._auto_3
Mathlib.CategoryTheory.Monoidal.Grp
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.Name.mkStr2", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
CategoryTheory.Functor.PullbackObjObj.mk.injEq
Mathlib.CategoryTheory.Limits.Shapes.Pullback.PullbackObjObj
[ "CategoryTheory.Functor", "CategoryTheory.Functor.PullbackObjObj.mk", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Eq.propIntro", "Quiver.Hom.op", "CategoryTheory.IsPullback", "CategoryTheory.Functor.PullbackObjObj", "CategoryTheory.Functor.category", "Lean.injEq_helper",...
true
IsOrderedMonoid.mk._flat_ctor
Mathlib.Algebra.Order.Monoid.Defs
[ "HMul.hMul", "IsOrderedMonoid", "Monoid.toMulOneClass", "Preorder.toLE", "MulOne.toMul", "LE.le", "MulOneClass.toMulOne", "CommMonoid.toMonoid", "IsOrderedMonoid.mk", "CommMonoid", "Preorder", "instHMul" ]
false
Matrix.instLieRingToLieAlgebra._proof_29
Mathlib.Algebra.Lie.SerreConstruction
[ "LieAlgebra.toModule", "Matrix.instLieRingToLieAlgebra._proof_16", "CommRing", "Matrix.instLieRingToLieAlgebra._aux_12", "FreeLieAlgebra.instLieRing", "AddMonoid.toAddSemigroup", "LieRing.toAddCommGroup", "Matrix", "SubNegMonoid.mk", "Add.mk", "Neg.mk", "Matrix.instLieRingToLieAlgebra._proof_2...
false
MeasureTheory.SimpleFunc.coe_neg._simp_1
Mathlib.MeasureTheory.Function.SimpleFunc
[ "Pi.instNeg", "MeasureTheory.SimpleFunc", "MeasureTheory.SimpleFunc.instNeg", "MeasureTheory.SimpleFunc.instFunLike", "MeasurableSpace", "Neg", "MeasureTheory.SimpleFunc.coe_neg", "Eq.symm", "Eq", "DFunLike.coe", "Neg.neg" ]
false
AddSubmonoid.map_equiv_eq_comap_symm
Mathlib.Algebra.Group.Submonoid.Operations
[ "AddEquivClass.instAddMonoidHomClass", "AddZeroClass.toAddZero", "AddSubmonoid.comap", "AddSubmonoid", "SetLike.coe_injective", "AddZeroClass", "Equiv.image_eq_preimage_symm", "SetLike.coe", "AddSubmonoid.map", "AddEquiv.instAddEquivClass", "AddEquiv", "AddZero.toAdd", "AddEquiv.toEquiv", ...
true
MeasureTheory.SignedMeasure.toMeasureOfZeroLE._proof_1
Mathlib.MeasureTheory.VectorMeasure.Basic
[ "Eq.mpr", "MeasureTheory.VectorMeasure.empty", "Real.partialOrder", "Real.instLE", "Real", "ENNReal.ofNNReal", "MeasurableSet", "Real.instZero", "MeasurableSet.empty", "congrArg", "AddMonoid.toAddZeroClass", "MeasureTheory.VectorMeasure.measureOf'", "PartialOrder.toPreorder", "PseudoMetric...
false
PartOrdEmb.hom_id
Mathlib.Order.Category.PartOrdEmb
[ "PartOrdEmb.str", "PartialOrder.toPreorder", "Preorder.toLE", "CategoryTheory.CategoryStruct.id", "PartOrdEmb.Hom.hom", "RelEmbedding.refl", "LE.le", "PartOrdEmb.instCategory", "PartOrdEmb.carrier", "CategoryTheory.Category.toCategoryStruct", "OrderEmbedding", "PartOrdEmb", "Eq", "rfl" ]
true
_private.Lean.Meta.Tactic.Grind.Intro.0.Lean.Meta.Grind.isAlreadyNorm?
Lean.Meta.Tactic.Grind.Intro
[ "Unit.unit", "Lean.Expr.isApp", "Lean.Expr.cleanupAnnotations", "Option.some", "Lean.Name.mkStr3", "Lean.Expr", "instDecidableEqBool", "Lean.Expr.appArg", "Lean.Expr.appFnCleanup", "dite", "Bool.true", "Option.none", "Unit", "Bool", "Lean.Expr.isConstOf", "Eq", "Not", "Option", "...
true
_private.Mathlib.Topology.Compactness.LocallyCompact.0.Topology.IsClosedEmbedding.weaklyLocallyCompactSpace.match_1_1
Mathlib.Topology.Compactness.LocallyCompact
[ "Filter.instMembership", "Membership.mem", "Exists", "nhds", "And.casesOn", "TopologicalSpace", "And", "Exists.casesOn", "And.intro", "Exists.intro", "Filter", "IsCompact", "Set" ]
false
_private.Mathlib.Computability.RegularExpressions.0.RegularExpression.matches'.match_1.eq_1
Mathlib.Computability.RegularExpressions
[ "RegularExpression.matches'.match_1", "Unit.unit", "RegularExpression", "RegularExpression.char", "RegularExpression.comp", "RegularExpression.plus", "RegularExpression.epsilon", "Unit", "RegularExpression.star", "RegularExpression.zero", "Eq.refl", "Eq" ]
true
CommSemiRingCat.commSemiringObj._aux_16
Mathlib.Algebra.Category.Ring.Limits
[ "CommSemiRingCat.instConcreteCategoryRingHomCarrier", "CategoryTheory.Functor", "One", "CommSemiring.toSemiring", "CommSemiRingCat.carrier", "CategoryTheory.Functor.comp", "RingHom", "CommSemiRingCat.instCommSemiringObjForgetRingHomCarrier", "RingHom.instFunLike", "CommSemiRingCat", "Semiring.to...
false
_private.Lean.Util.Trace.0.Lean.printTraces.match_1
Lean.Util.Trace
[ "Lean.MessageData", "Lean.Syntax", "Lean.TraceElem", "Lean.TraceElem.mk", "Lean.TraceElem.casesOn" ]
false