name
stringlengths
2
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module
stringlengths
6
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deps
listlengths
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allowCompletion
bool
2 classes
AddUnits.leftOfAdd._proof_2
Mathlib.Algebra.Group.Commute.Units
[ "Eq.mpr", "AddUnits.val", "AddMonoid.toAddSemigroup", "congrArg", "AddMonoid.toAddZeroClass", "Eq.rec", "AddZeroClass.toAddZero", "id", "AddCommute.add_right", "AddCommute", "AddCommute.right_comm", "AddZero.toZero", "instHAdd", "AddSemigroup.toAdd", "AddCommute.refl", "AddUnits.add_ne...
false
_private.Mathlib.Algebra.Order.Archimedean.Class.0.MulArchimedeanClass.orderHom_injective._simp_1_1
Mathlib.Algebra.Order.Archimedean.Class
[ "IsOrderedMonoid", "MulArchimedeanClass.mk_eq_mk", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "Exists", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "DivInvMonoid.toMonoid", "LE.le", "CommGroup", "MulArchimedeanClass.mk", "Monoid.toPow", "Group.toDivInvMonoi...
false
Sum.Lex.denselyOrdered_of_noMaxOrder
Mathlib.Data.Sum.Order
[ "Iff.mpr", "Equiv.instEquivLike", "_private.Mathlib.Data.Sum.Order.0.Sum.denselyOrdered.match_1", "_private.Mathlib.Data.Sum.Order.0.Sum.Lex.denselyOrdered_of_noMaxOrder.match_1", "Lex", "NoMaxOrder", "Exists", "_private.Mathlib.Data.Sum.Order.0.Sum.noMaxOrder.match_1", "Sum", "Equiv", "Sum.inl"...
true
Lean.Lsp.FileChangeType._sizeOf_inst
Lean.Data.Lsp.Workspace
[ "Lean.Lsp.FileChangeType._sizeOf_1", "SizeOf.mk", "SizeOf", "Lean.Lsp.FileChangeType" ]
false
OrderAddMonoidHom.addCommute_inl_inr
Mathlib.Algebra.Order.Monoid.Lex
[ "Prod.instAdd", "AddCommute.prod", "Prod.instAddZeroClass", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "AddZeroClass.toAddZero", "PartialOrder", "OrderAddMonoidHom.instFunLike", "AddCommute", "OrderAddMonoidHom.inl", "OrderAddMonoidHom.inr", "AddMonoid", "AddCommute.zero_right", ...
true
Subgroup.transferFocal.quotientKerMulEquivQuotientFocalSubroupOf._proof_1
Mathlib.GroupTheory.Focal
[ "Sylow.toSubgroup", "Subgroup.instNormalSubtypeMemFocalSubgroupOf", "Sylow", "Group", "Membership.mem", "Subgroup.focalSubgroupOf", "Subtype", "Subgroup", "Nat", "Subgroup.toGroup", "SetLike.instMembership", "Subgroup.instSetLike", "Subgroup.Normal" ]
false
Std.DHashMap.Raw.getKey?_insert_self
Std.Data.DHashMap.RawLemmas
[ "Std.DHashMap.Raw.WF", "Eq.mpr", "Std.DHashMap.Raw.WF.insert₀", "congrArg", "Std.DHashMap.Internal.Raw₀.getKey?", "Std.DHashMap.Internal.Raw₀.getKey?_insert_self", "Std.DHashMap.Raw", "Std.DHashMap.Internal.Raw.getKey?_eq", "Option.some", "id", "instOfNatNat", "Std.DHashMap.Raw.WF.size_buckets...
true
sup_sdiff
Mathlib.Order.Heyting.Basic
[ "Lattice.toSemilatticeSup", "GeneralizedCoheytingAlgebra", "SemilatticeSup.toMax", "SDiff.sdiff", "Max.max", "sup_sdiff_distrib", "GeneralizedCoheytingAlgebra.toLattice", "Eq", "GeneralizedCoheytingAlgebra.toSDiff" ]
true
Lean.Lsp.CompletionItemKind.enumMember
Lean.Data.Lsp.LanguageFeatures
[ "Lean.Lsp.CompletionItemKind.enumMember", "Lean.Lsp.CompletionItemKind" ]
true
Lean.Server.References.removeWorkerRefs
Lean.Server.References
[ "Lean.Server.References.workers", "Std.TreeMap.erase", "Lean.Server.References.mk", "Lean.Server.TransientWorkerILean", "Lean.Server.References.ileans", "Lean.Name", "Lean.Name.quickCmp", "Lean.Server.References" ]
true
_private.Mathlib.MeasureTheory.Measure.Haar.Unique.0.MeasureTheory.Measure.integral_isMulLeftInvariant_isMulRightInvariant_combo._simp_1_6
Mathlib.MeasureTheory.Measure.Haar.Unique
[ "HMul.hMul", "zpow_mul", "DivInvMonoid.toZPow", "DivisionMonoid", "Int", "DivisionMonoid.toDivInvMonoid", "Int.instMul", "HPow.hPow", "instHPow", "Eq.symm", "Eq", "instHMul" ]
false
AddOpposite.instSubtractionMonoid.eq_1
Mathlib.Algebra.Group.Opposite
[ "AddOpposite.instSubtractionMonoid", "AddOpposite.instSubtractionMonoid._proof_1", "AddOpposite.instSubtractionMonoid._proof_2", "AddOpposite.instSubtractionMonoid._proof_3", "AddOpposite", "SubtractionMonoid.toSubNegMonoid", "SubtractionMonoid", "Eq.refl", "Eq", "SubtractionMonoid.mk", "AddOppo...
true
CategoryTheory.Functor.OplaxMonoidal.comp_δ
Mathlib.CategoryTheory.Monoidal.Functor
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.OplaxMonoidal.δ", "CategoryTheory.Functor.map", "CategoryTheory.Functor.OplaxMonoidal.comp", "CategoryTheory.MonoidalCategoryStr...
true
Algebra.QuasiFinite.iff_finite_primesOver
Mathlib.RingTheory.QuasiFinite.Basic
[ "Set.ext", "Eq.mpr", "PrimeSpectrum.mk", "PrimeSpectrum.ext", "RingHom.instRingHomClass", "_private.Mathlib.RingTheory.QuasiFinite.Basic.0.Algebra.QuasiFinite.iff_finite_primesOver._simp_1_1", "CommRing", "Semiring.toModule", "Equiv.instEquivLike", "Equiv.exists_congr_left", "Algebra.algebraMap"...
true
dist_vadd_left
Mathlib.Analysis.Normed.Group.AddTorsor
[ "Norm.norm", "Real", "SeminormedAddCommGroup", "AddMonoid.toAddSemigroup", "congrArg", "AddCommGroup.toAddGroup", "AddTorsor.toVSub", "VSub.vsub", "HVAdd.hVAdd", "SeminormedAddCommGroup.toNorm", "AddAction.toAddSemigroupAction", "PseudoMetricSpace", "NormedAddTorsor.toAddTorsor", "AddSemig...
true
TopologicalSpace.CompactOpens.map
Mathlib.Topology.Sets.Compacts
[ "TopologicalSpace.CompactOpens.toCompacts", "Continuous", "TopologicalSpace.CompactOpens.mk", "IsOpenMap", "TopologicalSpace.CompactOpens.map._proof_1", "TopologicalSpace.CompactOpens", "TopologicalSpace", "TopologicalSpace.Compacts.map" ]
true
InfiniteGalois.isOpen_and_normal_iff_finite_and_isGalois
Mathlib.FieldTheory.Galois.Infinite
[ "InfiniteGalois.normal_iff_isGalois", "Eq.mpr", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "instSMulOfMul", "CommRing.toNonUnitalCommRing", "Monoid.toMulOneClass", "congrArg", "IntermediateField", "Iff.rfl", "Submonoid.toSubsemigroup", "IntermediateField.toField", "Algebra", "Membershi...
true
IsPrimitiveRoot.adjoinEquivRingOfIntegers_apply
Mathlib.NumberTheory.NumberField.Cyclotomic.Basic
[ "Subalgebra.instSetLike", "IsIntegralClosure.isIntegral_algebra", "Nat.instMulZeroClass", "NumberField.instCommRingRingOfIntegers", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "Rat", "NumberField.RingOfIntegers.instAlgebra_1", "AddGroupWithOne.toAddMonoidWithOne", "Algebra.adjoin", ...
true
Std.Time.Formats.leanDateTimeWithIdentifierAndNanos
Std.Time.Format
[ "Std.Time.FormatPart", "Std.Time.Modifier.m", "Std.Time.Fraction.nano", "Std.Time.FormatPart.string", "Std.Time.Modifier.d", "Std.Time.FormatPart.modifier", "instOfNatNat", "Sum.inl", "Std.Time.Modifier.s", "List.cons", "Std.Time.Awareness.any", "Std.Time.GenericFormat.mk", "Nat", "Std.Tim...
true
CategoryTheory.Abelian.SpectralObject.cyclesIso_inv_cyclesMap._auto_1
Mathlib.Algebra.Homology.SpectralObject.Page
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
Std.DHashMap.Raw.size_alter_eq_sub_one
Std.Data.DHashMap.RawLemmas
[ "Option.isNone", "Std.DHashMap.Raw.WF", "Std.DHashMap.Raw.instMembershipOfBEqOfHashable", "Eq.mpr", "Std.DHashMap.Internal.Raw₀.size_alter_eq_sub_one", "Std.DHashMap.Internal.Raw₀.get?", "Std.DHashMap.Internal.Raw₀.contains", "congrArg", "Std.DHashMap.Raw", "HSub.hSub", "Std.DHashMap.Raw.alter",...
true
Subtype.impEmbedding._proof_1
Mathlib.Logic.Embedding.Basic
[ "Subtype", "imp_self._simp_1", "Subtype.mk", "implies_congr", "Subtype.prop", "True", "of_eq_true", "_private.Mathlib.Logic.Embedding.Basic.0.subtypeOrLeftEmbedding._simp_1", "Subtype.val", "Eq", "Eq.trans" ]
false
EquivLike.pairwise_comp_iff
Mathlib.Logic.Equiv.Pairwise
[ "Function.onFun", "Iff", "EquivLike", "Pairwise", "EquivLike.bijective", "Function.Bijective.pairwise_comp_iff", "DFunLike.coe", "EquivLike.toFunLike" ]
true
ContinuousMapZero.toContinuousMapHom._proof_3
Mathlib.Topology.ContinuousMap.ContinuousMapZero
[ "CommSemiring.toSemiring", "IsTopologicalSemiring", "ContinuousMap", "AddMonoid.toAddZeroClass", "ContinuousMapZero.instNonUnitalCommSemiring", "AddZeroClass.toAddZero", "NonUnitalSemiring.toNonUnitalNonAssocSemiring", "toContinuousMap", "ContinuousMapZero", "NonUnitalCommSemiring.toNonUnitalSemir...
false
_private.Mathlib.CategoryTheory.Sites.Hypercover.Zero.0.CategoryTheory.PreZeroHypercover.Hom.ext'_iff.match_1_1
Mathlib.CategoryTheory.Sites.Hypercover.Zero
[ "CategoryTheory.PreZeroHypercover.Hom.h₀", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.eqToHom", "Exists", "CategoryTheory.PreZeroHypercover.X", "CategoryTheory.PreZeroHypercover.I₀", "CategoryTheory.PreZeroHypercover", "Exists.casesOn", "Exists.intro", "CategoryTheor...
false
Ordinal.pred_le_self
Mathlib.SetTheory.Ordinal.Arithmetic
[ "Order.succ", "Order.succ_eq_add_one", "Ordinal.partialOrder", "congrArg", "instIsBotZeroClass", "zero_le._simp_1", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "Preorder.toLE", "AddZeroClass.toAddZero", "Ordinal.instSuccAddOrder", "LE.le", "Ordinal.instSuccOrder", "Ordinal.addMo...
true
Lean.Parser.Command.printAxioms._regBuiltin.Lean.Parser.Command.printAxioms.parenthesizer_13
Lean.Parser.Command
[ "Lean.Name.mkStr5", "IO", "Lean.Parser.Command.printAxioms.parenthesizer", "Lean.PrettyPrinter.Parenthesizer", "Lean.PrettyPrinter.parenthesizerAttribute", "Unit", "Lean.Name.mkStr4", "Lean.KeyedDeclsAttribute.addBuiltin" ]
false
Squarefree.moebius_eq
Mathlib.RingTheory.UniqueFactorizationDomain.Moebius
[ "Classical.propDecidable", "Int.instNegInt", "UniqueFactorizationMonoid", "UniqueFactorizationMonoid.factors", "Int", "CommMonoidWithZero.toMonoidWithZero", "if_pos", "UniqueFactorizationMonoid.moebius", "Int.instMonoid", "Monoid.toPow", "HPow.hPow", "instOfNat", "CommMonoidWithZero", "Nat...
true
Semiquot.mem_pure._simp_1
Mathlib.Data.Semiquot
[ "Pure.pure", "Semiquot.instMonad", "Monad.toApplicative", "Membership.mem", "Applicative.toPure", "Semiquot.mem_pure", "Semiquot.instMembership", "propext", "Semiquot", "Eq" ]
false
Ordnode.Valid'.rotateL_lemma₁
Mathlib.Data.Ordmap.Ordset
[ "HMul.hMul", "_private.Mathlib.Data.Ordmap.Ordset.0.Ordnode.Valid'.rotateL_lemma₁._proof_1_1", "instMulNat", "instOfNatNat", "LE.le", "instLENat", "instHAdd", "HAdd.hAdd", "Nat", "instAddNat", "OfNat.ofNat", "instHMul" ]
true
_private.Lean.Meta.Tactic.Grind.PropagateInj.0.Lean.Meta.Grind.getInvFor?._sparseCasesOn_5
Lean.Meta.Tactic.Grind.PropagateInj
[ "Nat.ne_of_beq_eq_false", "Nat.shiftRight", "Nat.hasNotBit", "instOfNatNat", "List.rec", "List.cons", "Nat.land", "List", "Nat", "Bool", "Eq.refl", "OfNat.ofNat", "Bool.false", "List.ctorIdx", "List.nil" ]
false
PNat.find_eq_one._simp_1
Mathlib.Data.PNat.Find
[ "Exists", "instOfNatPNatOfNeZeroNat", "instOfNatNat", "Nat.instNeZeroSucc", "DecidablePred", "Nat", "PNat.find_eq_one", "propext", "OfNat.ofNat", "Eq", "PNat.find", "PNat" ]
false
Polynomial.eval₂_homogenize_of_eq_one
Mathlib.Algebra.Polynomial.Homogenize
[ "one_pow", "Finsupp.instAddZeroClass", "Polynomial.C", "NonAssocSemiring.toAddCommMonoidWithOne", "MulOne.toOne", "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "HMul.hMul", "Polynomial.eval₂_X_pow", "MvPolynomial.eval₂_pow", "Polynomial.eval₂_zero", "MvPolynomial.eval₂_zero", "Monoid....
true
groupHomology.H0π_comp_map_apply
Mathlib.RepresentationTheory.Homological.GroupHomology.Functoriality
[ "Rep.V", "CommRing", "groupHomology.H0π_comp_map", "CategoryTheory.CategoryStruct.toQuiver", "MonoidHom", "Quiver.Hom", "ModuleCat", "Monoid.toMulOneClass", "congrArg", "CommSemiring.toSemiring", "CategoryTheory.ConcreteCategory.hom", "AddCommGroup.toAddCommMonoid", "Rep.hV2", "groupHomolo...
true
WeakPseudoEMetricSpace.mk.noConfusion
Mathlib.Topology.EMetricSpace.Defs
[ "ENNReal.instAdd", "WeakPseudoEMetricSpace.mk", "WeakPseudoEMetricSpace", "HEq.refl", "WeakPseudoEMetricSpace.noConfusion", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "Set.Elem", "id", "LE.le", "Metric.eball", "TopologicalSpace", "instHAdd", "heq_of_eq", "Set.preimag...
false
MessageType.log.elim
Lean.Data.Lsp.Window
[ "PULift.up", "MessageType.ctorElim", "MessageType", "Nat", "Eq.symm", "Eq", "MessageType.log", "MessageType.ctorIdx" ]
false
Std.DHashMap.Internal.Raw₀.getKeyD_insertMany_emptyWithCapacity_list_of_contains_eq_false
Std.Data.DHashMap.Internal.RawLemmas
[ "Eq.mpr", "congrArg", "instForInOfForIn'", "List.map", "List.contains", "inferInstance", "id", "Sigma.fst", "instOfNatNat", "Id", "Membership", "LawfulHashable", "Std.DHashMap.Internal.Raw₀.emptyWithCapacity", "Std.DHashMap.Internal.Raw₀.getKeyD_emptyWithCapacity", "List", "EquivBEq", ...
true
_private.Mathlib.Algebra.Order.Group.Unbundled.Int.0.Int.ediv_eq_zero_of_lt_abs.match_1_1
Mathlib.Algebra.Order.Group.Unbundled.Int
[ "HEq.refl", "Int.casesOn", "Eq.casesOn", "Int.ofNat", "Int", "Nat.cast", "Int.instLTInt", "Nat", "LT.lt", "Int.natAbs", "eq_of_heq", "Eq.ndrec", "Eq.refl", "HEq", "instNatCastInt", "Int.negSucc", "Eq.symm", "Eq" ]
false
AddSubmonoid.coe_multiset_sum
Mathlib.Algebra.Group.Submonoid.BigOperators
[ "Multiset.sum", "AddSubmonoid.subtype", "Multiset.map", "AddSubmonoid.toAddCommMonoid", "AddMonoid.toAddZeroClass", "Membership.mem", "Multiset", "Subtype", "AddSubmonoid", "AddCommMonoid", "AddMonoidHom.map_multiset_sum", "AddCommMonoid.toAddMonoid", "Subtype.val", "AddSubmonoid.instSetLi...
true
_private.Mathlib.RingTheory.UniqueFactorizationDomain.Basic.0.irreducible_iff_prime_of_existsUnique_irreducible_factors.match_1_3
Mathlib.RingTheory.UniqueFactorizationDomain.Basic
[ "Membership.mem", "Exists", "Multiset", "CommMonoidWithZero.toMonoidWithZero", "And.casesOn", "Multiset.instMembership", "instHAdd", "And", "Associated", "Exists.casesOn", "HAdd.hAdd", "CommMonoidWithZero", "And.intro", "Exists.intro", "Multiset.instAdd", "MonoidWithZero.toMonoid" ]
false
_private.Aesop.Frontend.Command.0.Aesop.Frontend.Parser._aux_Aesop_Frontend_Command___elabRules_Aesop_Frontend_Parser_addRules_1.match_1
Aesop.Frontend.Command
[ "Prod.mk", "Array", "Aesop.GlobalRuleSetMember", "Aesop.RuleSetName", "Prod", "Prod.casesOn" ]
false
CategoryTheory.ObjectProperty.IsStrongGenerator.isDense_colimitsCardinalClosure_ι
Mathlib.CategoryTheory.Presentable.StrongGenerator
[ "CategoryTheory.ObjectProperty.colimitsCardinalClosure", "CategoryTheory.ObjectProperty.IsClosedUnderColimitsOfShape", "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.ObjectProperty.FullSubcategory.mk", "CategoryTheory.Functor", "CategoryTheory.IsFiltered.rightToMax", "CategoryTheory.Functo...
true
DirectSum.toAddMonoid
Mathlib.Algebra.DirectSum.Basic
[ "instAddCommMonoidDirectSum", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "DFinsupp.addZeroClass", "DFinsupp.liftAddHom", "AddCommMonoid", "AddZero.toZero", "Pi.instAdd", "AddMonoidHom.add", "AddEquiv", "DFinsupp", "AddCommMonoid.toAddMonoid", "AddMonoidHom", "AddEquiv.instEquivL...
true
CategoryTheory.Limits.isTerminalEquivUnique._proof_8
Mathlib.CategoryTheory.Limits.Shapes.IsTerminal
[ "CategoryTheory.Limits.isTerminalEquivUnique._proof_3", "Inhabited.default", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.Limits.IsLimit.mk", "Function.LeftInverse", "CategoryTheory.Limits.Cone", "Unique.mk", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "C...
false
Sigma.Lex.boundedOrder
Mathlib.Data.Sigma.Order
[ "Preorder.toLT", "Sigma.Lex.orderTop", "Sigma.Lex.orderBot", "Lex", "OrderBot.toBot", "PartialOrder.toPreorder", "Sigma.Lex.LE", "Preorder.toLE", "OrderBot", "PartialOrder", "Bot.bot", "OrderTop", "OrderTop.toTop", "BoundedOrder.toOrderTop", "BoundedOrder.toOrderBot", "BoundedOrder.mk"...
true
Representation.finsuppLEquivFreeAsModule._proof_4
Mathlib.RepresentationTheory.Basic
[ "MonoidAlgebra.semiring", "MonoidAlgebra.addCommMonoid", "Monoid", "Function.LeftInverse", "CommSemiring.toSemiring", "Equiv.toFun", "Finsupp.instAddCommMonoid", "CommSemiring", "MonoidAlgebra", "AddEquiv.refl", "AddCommSemigroup.toAddCommMagma", "AddEquiv.toEquiv", "AddCommMonoid.toAddCommS...
false
Std.DTreeMap.Internal.Cell.ofOption
Std.Data.DTreeMap.Internal.Cell
[ "Std.DTreeMap.Internal.Cell.ofOption.match_1", "Std.DTreeMap.Internal.Cell.empty", "Ord", "Std.DTreeMap.Internal.Cell.of", "Ord.compare", "Std.DTreeMap.Internal.Cell", "Unit", "Option" ]
true
Order.Ideal.PrimePair.I_isPrime
Mathlib.Order.PrimeIdeal
[ "Eq.mpr", "Order.Ideal.IsPrime.mk", "congrArg", "Compl.compl", "Order.IsPFilter", "Preorder.toLE", "Order.Ideal.PrimePair.F", "Order.Ideal.PrimePair.compl_I_eq_F", "Order.Ideal.IsPrime", "id", "Order.PFilter.instSetLike", "Set.instCompl", "SetLike.coe", "Order.PFilter.isPFilter", "Order....
true
_private.Mathlib.LinearAlgebra.Prod.0.LinearMap.exists_linearEquiv_eq_graph._simp_1_2
Mathlib.LinearAlgebra.Prod
[ "Submodule", "LinearMap.instFunLike", "RingHom", "Membership.mem", "Exists", "LinearMap.range", "LinearMap", "AddCommMonoid", "LinearMap.mem_range", "Submodule.setLike", "propext", "Semiring", "RingHomSurjective", "Module", "Semiring.toNonAssocSemiring", "Eq", "DFunLike.coe", "SetL...
false
ENat.WithBot.add_le_add_one_left_iff
Mathlib.Data.ENat.Basic
[ "WithBot.instPreorder", "WithBot", "instAddMonoidWithOneENat", "Preorder.toLE", "instAddENat", "ENat.WithBot.add_le_add_natCast_left_iff", "instPreorderENat", "LE.le", "Nat.instAddMonoidWithOne", "WithBot.one", "AddMonoidWithOne.toOne", "instHAdd", "Iff", "HAdd.hAdd", "Nat", "ENat", ...
true
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.Const.get!_eq_getD_default._simp_1_3
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "Membership.mem", "Bool.true", "Std.DTreeMap.Internal.Impl.contains", "propext", "Bool", "Std.DTreeMap.Internal.Impl.mem_iff_contains", "Eq", "Std.DTreeMap.Internal.Impl", "Std.DTreeMap.Internal.Impl.instMembershipOfOrd" ]
false
Pi.mulZeroOneClass._proof_2
Mathlib.Algebra.GroupWithZero.Pi
[ "MulOne.toOne", "HMul.hMul", "MulOneClass.mul_one", "MulOne.toMul", "MulZeroOneClass", "Pi.mulOneClass", "MulZeroOneClass.toMulOneClass", "MulOneClass.toMulOne", "One.toOfNat1", "OfNat.ofNat", "Eq", "instHMul" ]
false
IsStronglyTranscendental.iff_of_isLocalization
Mathlib.RingTheory.Algebraic.StronglyTranscendental
[ "IsStronglyTranscendental.of_map", "CommRing", "IsLocalization", "Algebra.algebraMap", "CommSemiring.toSemiring", "IsScalarTower", "PartialOrder.toPreorder", "IsScalarTower.toAlgHom", "IsLocalization.injective", "Algebra", "Preorder.toLE", "RingHom", "Algebra.toSMul", "nonZeroDivisors", ...
true
CommBialgCat.Hom
Mathlib.Algebra.Category.CommBialgCat
[ "_private.Mathlib.Algebra.Category.CommBialgCat.0.CommBialgCat.Hom.mk", "CommRing", "CommBialgCat" ]
true
CategoryTheory.MonoidalCategory.MonoidalRightAction.hom_inv_actionHomLeft
Mathlib.CategoryTheory.Monoidal.Action.Basic
[ "Eq.mpr", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.MonoidalCategory", "CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionObj", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Iso.hom_inv_id", "id", "CategoryTheory.Iso", "CategoryTheory...
true
CategoryTheory.InjectiveResolution.extMk_hom
Mathlib.CategoryTheory.Abelian.Injective.Ext
[ "CategoryTheory.InjectiveResolution.extEquivCohomologyClass._proof_2", "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.InjectiveResolution.cochainComplex", "instCategoryDerivedCategory", "CategoryTheory.Functor", "HomologicalComplex.instCategory", "DerivedCategory", "Nat.instOne", "CategoryT...
true
Action.diagonalOneIsoLeftRegular
Mathlib.CategoryTheory.Action.Concrete
[ "Monoid", "Action.mkIso", "Fin.instUnique", "Action.leftRegular", "CategoryTheory.Iso", "instOfNatNat", "Equiv.toIso", "Action", "Nat", "Action.instCategory", "CategoryTheory.types", "Equiv.funUnique", "Action.diagonal", "OfNat.ofNat", "Fin", "Action.diagonalOneIsoLeftRegular._proof_1"...
true
Int.le_iff_lt_or_eq
Init.Data.Int.Order
[ "Eq.mpr", "congrArg", "Iff.rfl", "id", "Int", "LE.le", "Int.instLTInt", "Iff", "LT.lt", "propext", "Or", "or_comm", "Eq", "Int.instLEInt", "Int.le_iff_eq_or_lt" ]
true
CategoryTheory.Idempotents.instIsIdempotentCompleteCosimplicialObject
Mathlib.CategoryTheory.Idempotents.SimplicialObject
[ "CategoryTheory.IsIdempotentComplete", "CategoryTheory.CosimplicialObject", "CategoryTheory.CosimplicialObject.instCategory", "SimplexCategory", "SimplexCategory.smallCategory", "CategoryTheory.Idempotents.functor_category_isIdempotentComplete", "CategoryTheory.Category" ]
true
LieHom._sizeOf_1
Mathlib.Algebra.Lie.Basic
[ "LieHom", "LieAlgebra.toModule", "CommRing", "LieRing.toAddCommGroup", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Bracket.bracket", "LinearMap.toAddHom", "instOfNatNat", "LieRingModule.toBracket", "LinearMap", "instHAdd", "LieRing", "CommRing.toCommSemiring", "HAdd.hAdd"...
false
Lean.Elab.AutoBoundImplicitContext.mk
Lean.Elab.AutoBound
[ "Lean.Elab.AutoBoundImplicitContext", "Lean.PArray", "Lean.Expr", "Lean.Elab.AutoBoundImplicitContext.mk", "Bool" ]
true
Graph.map
Mathlib.Combinatorics.Graph.Maps
[ "Graph.map._proof_5", "Graph", "Graph.map._proof_2", "Graph.mk", "Graph.IsLink", "Graph.edgeSet", "Graph.map._proof_1", "Set.image", "Graph.map._proof_4", "Graph.vertexSet", "Relation.Map" ]
true
Vector.zipWith_replicate
Init.Data.Vector.Zip
[ "Vector", "congrArg", "Vector.instGetElemNatLt", "Vector.ext", "GetElem.getElem", "Nat", "congr", "LT.lt", "True", "eq_self", "of_eq_true", "Vector.getElem_zipWith", "instLTNat", "Vector.replicate", "Eq", "Vector.getElem_replicate", "Vector.zipWith", "Eq.trans" ]
true
_private.Mathlib.RingTheory.OrderOfVanishing.Basic.0.Ideal.mulQuot_injective._simp_1_2
Mathlib.RingTheory.OrderOfVanishing.Basic
[ "Submodule", "AddCommGroup.toAddCommMonoid", "LinearMap.ker_eq_bot", "LinearMap.ker", "LinearMap.instFunLike", "RingHom", "AddCommGroup", "Bot.bot", "LinearMap", "Submodule.instBot", "propext", "Function.Injective", "Module", "Eq.symm", "Semiring.toNonAssocSemiring", "Ring.toSemiring",...
false
IsSelfAdjoint.conjugate'
Mathlib.Algebra.Star.SelfAdjoint
[ "Semigroup", "_private.Mathlib.Algebra.Star.SelfAdjoint.0.IsSelfAdjoint.conjugate'._simp_1_1", "IsSelfAdjoint", "Semigroup.toMul", "HMul.hMul", "star_star", "congrArg", "StarMul", "mul_assoc", "congr", "True", "eq_self", "StarMul.toInvolutiveStar", "of_eq_true", "StarMul.star_mul", "In...
true
Int.reduceNe._regBuiltin.Int.reduceNe.declare_1._@.Lean.Meta.Tactic.Simp.BuiltinSimprocs.Int.625502844._hygCtx._hyg.22
Lean.Meta.Tactic.Simp.BuiltinSimprocs.Int
[ "IO", "Sum.inl", "Int.reduceNe", "Bool.true", "Unit", "Lean.Meta.Simp.DSimproc", "Lean.Name.mkStr2", "Lean.Meta.Simp.addSimprocBuiltinAttr", "Lean.Meta.Simp.Simproc" ]
false
_private.Lean.Meta.Tactic.Grind.MBTC.0.Lean.Meta.Grind.Key.noConfusionType
Lean.Meta.Tactic.Grind.MBTC
[ "Lean.Expr", "_private.Lean.Meta.Tactic.Grind.MBTC.0.Lean.Meta.Grind.Key", "_private.Lean.Meta.Tactic.Grind.MBTC.0.Lean.Meta.Grind.Key.casesOn", "Eq" ]
false
_private.Mathlib.RingTheory.Unramified.Locus.0.Algebra.unramifiedLocus_eq_compl_support._simp_1_2
Mathlib.RingTheory.Unramified.Locus
[ "CommRing", "LocalizedModule", "PrimeSpectrum.isPrime", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Membership.mem", "AddCommGroup", "CommRing.toCommSemiring", "Module.notMem_support_iff", "propext", "PrimeSpectrum", "Subsingleton", "Module.support", "Ideal.primeCompl", "...
false
String.Pos.Raw.instLinearOrderPackage._proof_1
Init.Data.String.OrderInstances
[ "String.instLTRaw", "Std.LawfulOrderLT.lt_iff", "String.Pos.Raw.instLawfulOrderLT", "inferInstance", "LE.le", "String.Pos.Raw", "LE", "And", "Iff", "LT.lt", "String.instLERaw", "Not", "LT" ]
false
ZNum.decidableLT
Mathlib.Data.Num.Basic
[ "instDecidableEqOrdering", "ZNum", "Ordering.lt", "ZNum.cmp", "DecidableLT", "ZNum.instLT" ]
true
CompHausLike.LocallyConstant.sigmaComparison_comp_sigmaIso
Mathlib.Condensed.Discrete.LocallyConstant
[ "Eq.mpr", "CompHausLike.ofHom", "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CompHausLike.HasExplicitFiniteCoproducts", "CompHausLike.HasExplicitFiniteCoproducts.hasProp", "congrArg", "CategoryTheory.ConcreteCategory.hom", "Quiver.Hom.op", "Cat...
true
_private.Lean.Meta.Tactic.Grind.Arith.CommRing.SemiringM.0.Lean.Meta.Grind.Arith.CommRing.setTermSemiringId.match_1
Lean.Meta.Tactic.Grind.Arith.CommRing.SemiringM
[ "Option.ctorIdx", "Option.some", "Nat.hasNotBit", "Nat", "_private.Lean.Meta.Tactic.Grind.Arith.CommRing.SemiringM.0.Lean.Meta.Grind.Arith.CommRing.getToQFn._sparseCasesOn_1", "Option" ]
false
Array.range'_append_1
Init.Data.Array.Range
[ "Array.instAppend", "HMul.hMul", "congrArg", "Eq.mp", "instMulNat", "instOfNatNat", "Array", "instHAppendOfAppend", "instHAdd", "HAdd.hAdd", "Array.range'", "Nat", "instAddNat", "congrFun'", "optParam", "OfNat.ofNat", "Eq", "Nat.one_mul", "HAppend.hAppend", "Array.range'_append...
true
Finset.prod_prod_Ioi_mul_eq_prod_prod_off_diag
Mathlib.Algebra.Order.BigOperators.Group.LocallyFinite
[ "Eq.mpr", "Finset.prod_mul_distrib", "Preorder.toLT", "HMul.hMul", "LocallyFiniteOrderTop", "Finset.univ", "LinearOrder.toDecidableEq", "Finset.Ioi", "Monoid.toMulOneClass", "congrArg", "HMul", "Compl.compl", "Finset", "Sigma.eta", "LinearOrder", "PartialOrder.toPreorder", "Finset.Ii...
true
NonUnitalNonAssocRing.toHasDistribNeg._proof_3
Mathlib.Algebra.Ring.Defs
[ "NonUnitalNonAssocRing", "SubtractionMonoid.toInvolutiveNeg", "NonUnitalNonAssocRing.toAddCommGroup", "neg_neg", "SubtractionCommMonoid.toSubtractionMonoid", "AddCommGroup.toDivisionAddCommMonoid", "InvolutiveNeg.toNeg", "Eq", "Neg.neg" ]
false
FundamentalGroupoid.instSubsingletonHomPUnit
Mathlib.AlgebraicTopology.FundamentalGroupoid.PUnit
[ "Eq.mpr", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HEq.refl", "Path.instSubsingletonPUnitUnit", "Eq.casesOn", "id", "Path.Homotopic.Quotient", "Path.Homotopic.setoid", "FundamentalGroupoid", "PUnit", "Path", "eq_of_heq", "Eq.ndrec", "Subsingleton", "Eq.refl", "HEq", ...
true
_private.Mathlib.Analysis.SpecificLimits.Normed.0.Monotone.tendsto_le_alternating_series._simp_1_2
Mathlib.Analysis.SpecificLimits.Normed
[ "AddMonoid.toAddZeroClass", "HSub.hSub", "sub_le_iff_le_add", "AddRightMono", "AddZeroClass.toAddZero", "LE.le", "LE", "SubNegMonoid.toSub", "instHAdd", "AddGroup", "instHSub", "AddGroup.toSubNegMonoid", "HAdd.hAdd", "propext", "AddZero.toAdd", "SubNegMonoid.toAddMonoid", "Eq" ]
false
Submonoid.LocalizationMap.mulEquivOfMulEquiv
Mathlib.GroupTheory.MonoidLocalization.Maps
[ "MonoidHom.instMonoidHomClass", "MonoidHom.instFunLike", "MonoidHom", "Monoid.toMulOneClass", "MulOne.toMul", "Submonoid.LocalizationMap.ofMulEquivOfDom", "Submonoid.LocalizationMap.mulEquivOfLocalizations", "Submonoid.map", "MulEquiv.toMonoidHom", "MulOneClass.toMulOne", "Submonoid.Localization...
true
_private.Mathlib.Dynamics.TopologicalEntropy.NetEntropy.0.Dynamics.coverMincard_le_netMaxcard._simp_1_5
Mathlib.Dynamics.TopologicalEntropy.NetEntropy
[ "And", "propext", "not_and", "Eq", "Not" ]
false
_private.Mathlib.Data.Int.LeastGreatest.0.Int.coe_leastOfBdd_eq._proof_1_2
Mathlib.Data.Int.LeastGreatest
[ "Int.Linear.eq_of_core", "Lean.Grind.CommRing.le_norm_expr", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "False", "Lean.Grind.and_eq_of_eq_true_right", "HMul.hMul", "Lean.Grind.CommRing.Expr.mul", "Int.Linear.norm_le", "Lean.Grind.nestedProof", "Lean.Grind.CommRing.Expr.var", "Lean.Gr...
false
Submodule.finiteDimensional_iSup
Mathlib.LinearAlgebra.FiniteDimensional.Basic
[ "Submodule", "iSup", "AddCommGroup.toAddCommMonoid", "Finite", "Submodule.completeLattice", "Membership.mem", "CompleteLattice.toConditionallyCompleteLattice", "DivisionRing.toDivisionSemiring", "AddCommGroup", "Subtype", "DivisionRing.toRing", "Submodule.module", "FiniteDimensional", "Sub...
true
LieSubmodule.ext
Mathlib.Algebra.Lie.Submodule
[ "LieSubmodule.instSetLike", "CommRing", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "LieSubmodule", "Membership.mem", "AddCommGroup", "LieRing", "CommRing.toCommSemiring", "Iff", "LieRingModule", "SetLike.ext", "Module", "Eq", "SetLike.instMembership" ]
true
_private.Init.Data.BitVec.Lemmas.0.BitVec.clzAuxRec_le._proof_1_1
Init.Data.BitVec.Lemmas
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "HSub.hSub", "Lean.Omega.LinearCombo.eval", "Option.some", "id", "instDecidableEqBool", "Int.instNegInt", "Int.sub_nonneg_of_le", "instOfNatNat", "Int", "Nat.cast...
false
Lean.StructureDescr.fields
Lean.Structure
[ "Lean.StructureFieldInfo", "Array", "Lean.StructureDescr" ]
true
FirstOrder.Language.DirectLimit.inductionOn
Mathlib.ModelTheory.DirectLimit
[ "FirstOrder.Language.DirectLimit.of", "Preorder.toLE", "Exists", "Eq.rec", "LE.le", "FirstOrder.Language.Embedding", "_private.Mathlib.ModelTheory.DirectLimit.0.FirstOrder.Language.DirectLimit.inductionOn.match_1_1", "FirstOrder.Language.Embedding.funLike", "FirstOrder.Language.Structure", "IsDire...
true
mul_mem_ball_iff_norm
Mathlib.Analysis.Normed.Group.Basic
[ "Norm.norm", "Eq.mpr", "Real", "instHDiv", "HMul.hMul", "mem_ball_iff_norm''", "Monoid.toMulOneClass", "congrArg", "SeminormedCommGroup.toPseudoMetricSpace", "Real.instLT", "Membership.mem", "id", "MulOne.toMul", "HDiv.hDiv", "Metric.ball", "DivInvMonoid.toMonoid", "Group.toDivInvMon...
true
_private.Batteries.Data.String.Lemmas.0.String.Legacy.instDecidableEqIterator.decEq.match_1.splitter
Batteries.Data.String.Lemmas
[ "String.Legacy.Iterator.mk", "String", "String.Pos.Raw", "String.Legacy.Iterator", "_private.Init.Data.String.Iterator.0.String.Legacy.instDecidableEqIterator.decEq.match_1" ]
true
CategoryTheory.Limits.Types.TypeMax.colimitCocone
Mathlib.CategoryTheory.Limits.Types.Colimits
[ "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "Equiv.instEquivLike", "Equiv", "CategoryTheory.Functor.coconeTypesEquiv", "CategoryTheory.Functor.CoconeTypes", "CategoryTheory.types", "CategoryTheory.Functor.coconeTypes", "DFunLike.coe", "EquivLike.toFunLike", "CategoryTheory.Category...
true
_private.Std.Data.Iterators.Lemmas.Equivalence.HetT.0.Std.Iterators.HetT.pmap_map._simp_1_1
Std.Data.Iterators.Lemmas.Equivalence.HetT
[ "Std.Iterators.HetT.Property", "Exists", "Eq.rec", "LawfulMonad", "Std.Iterators.HetT", "Std.Iterators.HetT.ext_iff", "propext", "Std.Iterators.HetT.prun", "Eq.symm", "Monad", "Eq" ]
false
_private.Lean.Elab.Tactic.Grind.ShowState.0.Lean.Elab.Tactic.Grind.evalShowLocalThms._regBuiltin._private.Lean.Elab.Tactic.Grind.ShowState.0.Lean.Elab.Tactic.Grind.evalShowLocalThms_1
Lean.Elab.Tactic.Grind.ShowState
[ "Lean.Name.mkStr5", "IO", "instOfNatNat", "Lean.Name.num", "Lean.Name.str", "Lean.Name.anonymous", "Unit", "Lean.Elab.Tactic.Grind.GrindTactic", "Nat", "OfNat.ofNat", "_private.Lean.Elab.Tactic.Grind.ShowState.0.Lean.Elab.Tactic.Grind.evalShowLocalThms", "Lean.Elab.Tactic.Grind.grindTacElabAtt...
false
CategoryTheory.Localization.inverts
Mathlib.CategoryTheory.Localization.Predicate
[ "CategoryTheory.MorphismProperty", "CategoryTheory.Functor.IsLocalization.inverts", "CategoryTheory.Functor", "inferInstance", "CategoryTheory.MorphismProperty.IsInvertedBy", "CategoryTheory.Functor.IsLocalization", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Category" ]
true
Set.iUnion₂_inter
Mathlib.Data.Set.Lattice
[ "congrArg", "Set.instInter", "Set.iUnion_inter", "Inter.inter", "funext", "True", "eq_self", "of_eq_true", "congrFun'", "Eq", "Set.iUnion", "Eq.trans", "Set" ]
true
_private.Mathlib.Order.WithBot.0.WithBot.noMaxOrder.match_1
Mathlib.Order.WithBot
[ "Exists", "Exists.casesOn", "LT.lt", "Exists.intro", "LT" ]
false
CategoryTheory.Functor.OplaxRightLinear.noConfusion
Mathlib.CategoryTheory.Monoidal.Action.LinearFunctor
[ "CategoryTheory.Functor", "CategoryTheory.Functor.OplaxRightLinear.casesOn", "CategoryTheory.Functor.OplaxRightLinear.δᵣ_unitality_inv._autoParam", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionHomRight", "Quiver.Hom", "CategoryTheory.Monoidal...
false
TopologicalSpace.instWellFoundedLTClosedsOfNoetherianSpace
Mathlib.Topology.NoetherianSpace
[ "Preorder.toLT", "WellFoundedLT", "PartialOrder.toPreorder", "List.instGetElem?NatLtLength", "TopologicalSpace.Opens", "instOfNatNat", "TopologicalSpace.Opens.instSetLike", "List.cons", "TopologicalSpace.noetherianSpace_TFAE", "TopologicalSpace", "List", "List.TFAE.out", "SetLike.coe", "Na...
true
Finset.erase_val
Mathlib.Data.Finset.Erase
[ "Finset", "Multiset", "Finset.val", "Multiset.erase", "Finset.erase", "Eq", "rfl", "DecidableEq" ]
true
BddDistLat.Iso.mk._proof_3
Mathlib.Order.Category.BddDistLat
[ "Lattice.toSemilatticeSup", "BddDistLat.isBoundedOrder", "BddDistLat.instDistribLatticeCarrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "BoundedLatticeHom.ext", "congrArg", "BoundedLatticeHom.instFunLike", "PartialOrder.toPreorder", "Preorder.toLE", "BddDistLat", "SemilatticeI...
false
SSet.Subcomplex.N.opEquiv._proof_5
Mathlib.AlgebraicTopology.SimplicialSet.NonDegenerateSimplicesSubcomplex
[ "SSet.N.instPreorder", "SSet.op", "Preorder.toLE", "SSet.Subcomplex.N", "OrderIso", "SSet", "OrderIso.symm", "SSet.Subcomplex.N.toN", "instFunLikeOrderIso", "SSet.N", "SSet.Subcomplex.N.mk'", "SSet.Subcomplex", "SSet.Subcomplex.N.opEquiv._proof_4", "Eq", "DFunLike.coe", "SSet.Subcomple...
false
SimpleGraph.Walk.ofBoxProdLeft._proof_2
Mathlib.Combinatorics.SimpleGraph.Prod
[ "SimpleGraph.Adj", "Prod.fst", "SimpleGraph", "And", "And.right", "Prod", "Eq.symm", "Eq", "Prod.snd" ]
false
List.isEqv.eq_2
Init.Data.List.Lemmas
[ "List.isEqv", "Bool.and", "List.cons", "List", "Bool", "Eq.refl", "Eq" ]
true