name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
AddMonoidAlgebra.map_mul
Mathlib.Algebra.MonoidAlgebra.MapDomain
[ "Finsupp.instFunLike", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "RingHom.instRingHomClass", "RingHomClass.toAddMonoidHomClass", "HMul.hMul", "AddMonoidAlgebra.addAddCommMonoid", "AddMonoidHomClass.toAddMonoidHom", "AddMonoidAlgebra.single_apply", "congrArg", "MulZeroClass.zero_mul", ...
true
Std.HashMap.Raw.any_eq_true_iff_exists_mem_getElem
Std.Data.HashMap.RawLemmas
[ "GetElem?.toGetElem", "Std.HashMap.Raw.WF.out", "LawfulBEq", "Membership.mem", "Exists", "Std.HashMap.Raw.WF", "Std.HashMap.Raw", "GetElem.getElem", "Bool.true", "Iff", "Std.HashMap.Raw.instGetElem?Mem", "Bool", "Std.HashMap.Raw.inner", "Std.HashMap.Raw.instMembershipOfBEqOfHashable", "H...
true
FinVec.sum._proof_1
Mathlib.Data.Fin.Tuple.Reflection
[ "Zero.ofOfNat0", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat.instNeZeroSucc", "Nat", "instAddNat", "NeZero", "OfNat.ofNat" ]
false
MeasureTheory.Measure.instCompleteSemilatticeInf._private_1
Mathlib.MeasureTheory.Measure.MeasureSpace
[ "MeasureTheory.Measure", "lowerBounds", "_private.Mathlib.MeasureTheory.Measure.MeasureSpace.0.MeasureTheory.Measure.measure_sInf_le", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "upperBounds", "MeasurableSpace", "And", "MeasureTheory.Measure.instPartialOrder", "And.intro", "...
false
Asymptotics.isBigOWith_abs_left._simp_1
Mathlib.Analysis.Asymptotics.Defs
[ "Real", "Real.lattice", "Asymptotics.IsBigOWith", "abs", "Asymptotics.isBigOWith_abs_left", "Norm", "Real.instAddGroup", "propext", "Eq", "Filter", "Real.norm" ]
false
HahnSeries.embDomainRingHom
Mathlib.RingTheory.HahnSeries.Multiplication
[ "MulOne.toOne", "RelEmbedding.mk", "RingHom.mk", "HahnSeries.embDomain", "HahnSeries.instNonAssocSemiring", "OneHom.mk", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "NonUnitalNonAssocSemiring.toMulZeroClass", "Preorder.toLE", "RingHom", "Function.Embedding.mk", "AddZeroClass.toAdd...
true
_private.Init.Data.List.ToArray.0.List.zipWithMAux_toArray_succ._proof_1_4
Init.Data.List.ToArray
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.ofNat_sub_dichotomy", "Lean.Omega.Int.add_congr", "Lean.Om...
false
Lean.Meta.Grind.InjectiveInfo.mk
Lean.Meta.Tactic.Grind.Types
[ "Lean.Meta.Grind.InjectiveInfo.mk", "Lean.Expr", "Lean.Level", "List", "Lean.Meta.Grind.InjectiveInfo", "Prod", "Option" ]
true
CategoryTheory.Cat.HasLimits.limitConeLift
Mathlib.CategoryTheory.Category.Cat.Limit
[ "CategoryTheory.Limits.limit.π", "CategoryTheory.Cat.category", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "CategoryTheory.Cat.HasLimits.limitConeX", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "Categor...
true
DoubleQuot.quotLeftToQuotSup.eq_1
Mathlib.RingTheory.Ideal.Quotient.Operations
[ "CommRing", "CommSemiring.toSemiring", "RingHom", "DoubleQuot.quotLeftToQuotSup._proof_1", "SemilatticeSup.toMax", "Algebra.id", "Ideal", "IdemSemiring.toSemilatticeSup", "HasQuotient.Quotient", "DoubleQuot.quotLeftToQuotSup._proof_2", "Ideal.instIsTwoSided_1", "CommRing.toCommSemiring", "Su...
true
Std.ExtTreeMap.self_le_maxKeyD_insert
Std.Data.ExtTreeMap.Lemmas
[ "Std.ExtDTreeMap.self_le_maxKeyD_insert", "Ordering", "Std.TransCmp", "Bool.true", "Std.ExtTreeMap", "Std.ExtTreeMap.inner", "Bool", "Std.ExtTreeMap.insert", "Ordering.isLE", "Eq", "Std.ExtTreeMap.maxKeyD" ]
true
eq_zero_of_zpow_eq_zero
Mathlib.Algebra.GroupWithZero.Units.Basic
[ "GroupWithZero.toMonoidWithZero", "GroupWithZero.toDivInvMonoid", "GroupWithZero", "DivInvMonoid.toZPow", "Int", "MonoidWithZero.toMulZeroOneClass", "HPow.hPow", "Iff.mp", "Zero.toOfNat0", "zpow_ne_zero", "instHPow", "MulZeroOneClass.toMulZeroClass", "OfNat.ofNat", "Eq", "Not", "MulZer...
true
CategoryTheory.NatIso.ofComponents'.congr_simp
Mathlib.CategoryTheory.NatIso
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "Eq.rec", "CategoryTheory.Iso", "CategoryTheory.Functor.map", "CategoryTheory.NatIso.ofComponents'", "CategoryTheory.CategoryStruct.comp", "Eq.ndrec", "Eq.refl", "CategoryTheory...
true
SubgroupClass.instZPow
Mathlib.Algebra.Group.Subgroup.Defs
[ "SetLike", "Pow", "SubgroupClass.instZPow._proof_1", "DivInvMonoid.toZPow", "Membership.mem", "Subtype", "Int", "DivInvMonoid", "Subtype.mk", "SubgroupClass", "Pow.mk", "HPow.hPow", "instHPow", "Subtype.val", "SetLike.instMembership" ]
true
CategoryTheory.CatEnriched.instCategory
Mathlib.CategoryTheory.Bicategory.CatEnriched
[ "CategoryTheory.Cat.category", "CategoryTheory.CatEnriched.instCategory._proof_1", "CategoryTheory.CatEnriched.instCategory._proof_3", "CategoryTheory.Category.mk", "CategoryTheory.Cat", "CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory", "CategoryTheory.CatEnriched", "CategoryTheory.En...
true
_private.Init.Data.Iterators.Lemmas.Consumers.Monadic.Loop.0.Std.IterM.first?.eq_1
Init.Data.Iterators.Lemmas.Consumers.Monadic.Loop
[ "Pure.pure", "Std.IteratorLoop.forIn", "Monad.toApplicative", "Std.IteratorLoop", "Option.some", "ForInStep.done", "flip", "Subtype", "Applicative.toPure", "Std.IterM.IsPlausibleIndirectOutput", "ForInStep", "Std.Iterator", "Subtype.mk", "Option.none", "Std.IterM.first?", "Monad.toBind...
true
Classical.some_spec₂
Mathlib.Logic.Basic
[ "Exists", "Classical.choose_spec", "Classical.choose" ]
true
_private.Mathlib.SetTheory.Cardinal.Aleph.0.Cardinal.beth_add_one._simp_1_2
Mathlib.SetTheory.Cardinal.Aleph
[ "add_assoc", "AddSemigroup", "instHAdd", "AddSemigroup.toAdd", "HAdd.hAdd", "Eq.symm", "Eq" ]
false
Mathlib.Meta.NormNum.NormNums.tree._default
Mathlib.Tactic.NormNum.Core
[ "Lean.Meta.DiscrTree.instHashableKey", "Lean.Meta.DiscrTree.instBEqKey", "id", "Lean.Meta.DiscrTree.Key", "Lean.PersistentHashMap.Node.entries", "Lean.PersistentHashMap.mk", "Lean.Meta.DiscrTree.mk", "Lean.Meta.DiscrTree.Trie", "Mathlib.Meta.NormNum.NormNumExt", "Lean.Meta.DiscrTree", "Lean.Pers...
false
PowerSeries.coeff_mul_eq_coeff_trunc_mul_trunc
Mathlib.RingTheory.PowerSeries.Trunc
[ "PowerSeries.coeff_mul_eq_coeff_trunc_mul_trunc₂", "Semiring.toModule", "HMul.hMul", "CommSemiring.toSemiring", "LinearMap.instFunLike", "MvPowerSeries.instMul", "PowerSeries.coeff", "MvPowerSeries.instModule", "LinearMap", "Polynomial", "MvPowerSeries.instAddCommMonoid", "CommSemiring", "No...
true
_private.Mathlib.Lean.Meta.CongrTheorems.0.Lean.Meta.mkRichHCongr.trySolveCore
Mathlib.Lean.Meta.CongrTheorems
[ "Pure.pure", "Lean.MVarId.cleanup", "Lean.MonadError.mk", "Unit.unit", "Lean.instMonadExceptOfExceptionCoreM", "_private.Mathlib.Lean.Meta.CongrTheorems.0.Lean.Meta.mkHCongrWithArity'.prove.match_1", "Lean.Meta.fastSubsingletonElim", "instMonadExceptOfMonadExceptOf", "Lean.MonadError.toMonadExceptOf...
true
String.Slice.le_offset_posGE._simp_1
Init.Data.String.Lemmas.FindPos
[ "String.Slice.Pos.offset", "String.Slice.rawEndPos", "String.Slice", "LE.le", "String.Pos.Raw", "String.Slice.le_offset_posGE", "True", "String.Slice.posGE", "String.instLERaw", "eq_true", "Eq" ]
false
Lean.Meta.Sym.Simp.registerSymSimpAttr
Lean.Meta.Sym.Simp.Attr
[ "Pure.pure", "Lean.Meta.Sym.Simp.registerSymSimpAttr._auto_1", "IO.instMonadLiftSTRealWorldBaseIO", "Monad.toApplicative", "String", "ST.Ref.modify", "instMonadLiftT", "IO", "IO.RealWorld", "instMonadEIO", "Applicative.toPure", "autoParam", "Unit", "ST", "Lean.Meta.Sym.Simp.symSimpExtens...
true
String.Pos.offset_sliceTo
Init.Data.String.Basic
[ "String.Slice.Pos.offset", "String", "LE.le", "String.Pos.Raw", "String.Pos", "String.instLEPos", "String.sliceTo", "String.Pos.sliceTo", "Eq", "String.Pos.offset", "rfl" ]
true
Finset.card_toRight_le
Mathlib.Data.Finset.Sum
[ "Finset.toLeft", "LE.le.trans_eq", "Finset", "Nat.le_add_left", "Sum", "LE.le", "Finset.toRight", "instLENat", "Finset.card_toLeft_add_card_toRight", "instHAdd", "HAdd.hAdd", "Nat", "Finset.card", "instAddNat" ]
true
Associated
Mathlib.Algebra.GroupWithZero.Associated
[ "Monoid", "Units.val", "HMul.hMul", "Monoid.toMulOneClass", "Exists", "Units", "MulOne.toMul", "MulOneClass.toMulOne", "Eq", "instHMul" ]
true
_private.Mathlib.FieldTheory.PerfectClosure.0.PerfectClosure.mk_pow._simp_1_1
Mathlib.FieldTheory.PerfectClosure
[ "NonAssocSemiring.toAddCommMonoidWithOne", "CommSemiring.toSemiring", "RingHom", "ExpChar", "AddCommMonoidWithOne.toAddMonoidWithOne", "Nat.iterate", "CommSemiring", "frobenius", "coe_iterateFrobenius", "RingHom.instFunLike", "Nat", "iterateFrobenius", "Eq.symm", "Semiring.toNonAssocSemiri...
false
FirstOrder.Language.BoundedFormula.mapTermRelEquiv._proof_2
Mathlib.ModelTheory.Syntax
[ "FirstOrder.Language.BoundedFormula.mapTermRel", "Equiv.instEquivLike", "congrArg", "Function.comp", "FirstOrder.Language.Term", "Sum", "id", "Equiv", "instOfNatNat", "funext", "instHAdd", "Equiv.self_comp_symm", "HAdd.hAdd", "congrFun", "Nat", "FirstOrder.Language.Relations", "congr...
false
DiffeologicalSpace.noConfusionType
Mathlib.Geometry.Diffeology.Basic
[ "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "Real", "PiLp.normedSpace", "fact_one_le_two_ennreal", "Real.denselyNormedField", "instTopENat", "Real.instRCLike", "TopologicalSpace.IsOpen", "PseudoMetricSpace.toUniformSpace", "Function.comp", "Membership.mem", "Exi...
false
_private.Mathlib.Analysis.Asymptotics.LinearGrowth.0.Monotone.le_linearGrowthSup_comp.match_1_1
Mathlib.Analysis.Asymptotics.LinearGrowth
[ "instAddCommMonoidWithOneEReal", "EReal.instDivInvMonoid", "Preorder.toLT", "PartialOrder.toPreorder", "EReal", "Membership.mem", "AddMonoidWithOne.toNatCast", "AddCommMonoidWithOne.toAddMonoidWithOne", "instZeroEReal", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", "instComp...
false
Lean.Meta.whnfI
Lean.Meta.Basic
[ "Lean.Meta.whnf", "instMonadControlTOfPure", "Lean.Meta.State", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "Applicative.toPure", "Lean.Meta.withTransparency", "Lean.Core.CoreM", "Lean.Meta.instMonadMetaM", "Lean.Meta.TransparencyMode.instances", "StateRefT'", "StateRefT'.instMonad", "...
true
Lean.PrettyPrinter.Delaborator.SubExpr.withBoundedAppFnArgs._f
Lean.PrettyPrinter.Delaborator.SubExpr
[ "Lean.PrettyPrinter.Delaborator.SubExpr.withAppArg", "MonadWithReaderOf", "Lean.Expr", "Nat.below", "Nat", "Monad.toBind", "Lean.PrettyPrinter.Delaborator.SubExpr.withAppFn", "Bind.bind", "Lean.PrettyPrinter.Delaborator.SubExpr.getExpr", "Lean.SubExpr", "_private.Lean.PrettyPrinter.Delaborator.S...
false
_private.Init.Data.Int.Order.0.Int.nonneg_def.match_1_1
Init.Data.Int.Order
[ "Int.NonNeg", "HEq.refl", "Int.NonNeg.casesOn", "Int.ofNat", "Int", "Nat", "Int.NonNeg.mk", "eq_of_heq", "Eq.ndrec", "Eq.refl", "HEq", "Eq.symm", "Eq" ]
false
cfcₙ_integral
Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Integral
[ "MeasureTheory.ae", "Set.instSProd", "cfcₙ", "Norm.norm", "NormedCommRing.toSeminormedCommRing", "Real.instLE", "Real", "MeasureTheory.Measure", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CompleteSpace", "instSMulOfMul", "Continuous.continuousOn", "RCLike.toNormedAlgebra", "NormedSp...
true
DirectSum.IsInternal.collectedOrthonormalBasis.congr_simp
Mathlib.Analysis.InnerProductSpace.PiL2
[ "NormedCommRing.toNormedRing", "InnerProductSpace.toNormedSpace", "Submodule", "Submodule.addSubmonoidClass", "DirectSum.IsInternal", "NormedRing.toRing", "AddCommGroup.toAddCommMonoid", "Submodule.innerProductSpace", "NormedSpace.toModule", "Membership.mem", "NormedField.toField", "Orthogonal...
true
SimpleGraph.Walk.exists_adj_adj_not_adj_ne
Mathlib.Combinatorics.SimpleGraph.Metric
[ "_private.Mathlib.Combinatorics.SimpleGraph.Metric.0.SimpleGraph.Walk.exists_adj_adj_not_adj_ne._proof_1_6", "_private.Mathlib.Combinatorics.SimpleGraph.Metric.0.SimpleGraph.Walk.exists_adj_adj_not_adj_ne._simp_1_2", "Eq.mpr", "SimpleGraph.Walk.length_tail_add_one", "SimpleGraph.dist", "congrArg", "Simp...
true
OrderHom.equivalenceFunctor._proof_2
Mathlib.CategoryTheory.Category.Preorder
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "OrderHom.toFunctor", "CategoryTheory.CategoryStruct.id", "OrderHom.equivalenceFunctor._proof_1", "id", "OrderHom.instPreorder", "Preorder.smallCategory", "CategoryTheory.NatTrans...
false
Std.DHashMap.Const.get!_erase_self
Std.Data.DHashMap.Lemmas
[ "Inhabited.default", "Std.DHashMap.Internal.Raw₀.Const.get!_erase_self", "Std.DHashMap.Raw", "Std.DHashMap.wf", "instOfNatNat", "Std.DHashMap.Const.get!", "LawfulHashable", "Subtype.mk", "EquivBEq", "Std.DHashMap.inner", "Nat", "Std.DHashMap.Raw.buckets", "LT.lt", "Inhabited", "Std.DHash...
true
CategoryTheory.Functor.IsCoverDense.Types.naturality
Mathlib.CategoryTheory.Sites.DenseSubsite.Basic
[ "CategoryTheory.Functor.op", "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "Quiver.Hom.op", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "TypeCat.instFunLikeFun", "TypeCat.Fun.toFun", "C...
true
CategoryTheory.ShortComplex.RightHomologyData.p_g'_assoc
Mathlib.Algebra.Homology.ShortComplex.RightHomology
[ "CategoryTheory.Category.assoc", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ShortComplex.RightHomologyData", "congrArg", "CategoryTheory.ShortComplex", "Eq.mp", "id", "Mathlib.Tactic.Reassoc.eq_whisker'", "CategoryTheory.Shor...
true
RootPairing.Base.flip
Mathlib.LinearAlgebra.RootSystem.Base
[ "CommRing", "RootPairing.Base.linearIndepOn_coroot", "CommSemiring.toSemiring", "RootPairing.Base", "AddCommGroup.toAddCommMonoid", "RootPairing.flip", "AddCommGroup", "RootPairing.Base.support", "RootPairing.Base.linearIndepOn_root", "CommRing.toCommSemiring", "RootPairing.Base.mk", "RootPair...
true
CategoryTheory.LaxBraidedFunctor.forget_map
Mathlib.CategoryTheory.Monoidal.Braided.Basic
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.LaxBraidedFunctor.instCategory", "CategoryTheory.LaxBraidedFunctor.forget", "CategoryTheory.InducedCategory.instCategory", "CategoryTheory.Functor.map", "CategoryTheory.BraidedCategory", "Categ...
true
Aesop.Frontend.Feature.phase.sizeOf_spec
Aesop.Frontend.RuleExpr
[ "Aesop.Frontend.Feature._sizeOf_inst", "instOfNatNat", "Aesop.PhaseName", "instHAdd", "Aesop.Frontend.Feature", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "Aesop.Frontend.Feature.phase", "Aesop.PhaseName._sizeOf_inst", "OfNat.ofNat", "Eq" ]
true
finrank_euclideanSpace
Mathlib.Analysis.InnerProductSpace.PiL2
[ "NormedCommRing.toNormedRing", "WithLp", "Eq.mpr", "Pi.Function.module", "Semiring.toModule", "NormedRing.toRing", "congrArg", "AddCommGroup.toAddCommMonoid", "HEq.refl", "Nat.instAtLeastTwoHAddOfNat", "WithLp.instAddCommGroup", "NormedField.toField", "Field.instIsLocalRing", "Fintype.card...
true
HomotopicalAlgebra.PrepathObject.RightHomotopy.unop
Mathlib.AlgebraicTopology.ModelCategory.RightHomotopy
[ "HomotopicalAlgebra.PrepathObject.RightHomotopy.unop._proof_4", "Opposite", "Quiver.opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HomotopicalAlgebra.PrepathObject.unop", "Quiver.Hom.unop", "HomotopicalAlgebra.PrepathObject.RightHomotopy", "HomotopicalAlgebra.PrepathObject.P", ...
true
String.Pos.sliceTo_le_iff
Init.Data.String.Lemmas.Order
[ "Iff.mpr", "String.instLEPos_1", "Iff.of_eq", "congrArg", "String", "Exists", "LE.le", "_private.Init.Data.String.Lemmas.Order.0.String.Pos.sliceTo_le_iff._simp_1_1", "iff_self", "Iff", "exists_prop_congr", "True", "exists_true_left._simp_1", "propext", "String.Pos", "eq_true", "of_e...
true
SimpleGraph.Subgraph.neighborSet_sup
Mathlib.Combinatorics.SimpleGraph.Subgraph
[ "SimpleGraph.Subgraph", "Set.instUnion", "SimpleGraph.Subgraph.neighborSet", "SimpleGraph.Subgraph.instMax", "SimpleGraph", "Max.max", "Union.union", "Eq", "rfl", "Set" ]
true
OrderMonoidIso.withZeroUnits
Mathlib.Algebra.Order.Hom.MonoidWithZero
[ "GroupWithZero.toMonoidWithZero", "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "OrderMonoidIso.withZeroUnits._proof_1", "MulZeroClass.toMul", "PartialOrder.toPreorder", "LinearOrderedCommMonoidWithZero.toLinearOrder", "WithZero.withZeroUnitsEquiv", "SemilatticeInf.toPartialOrder...
true
AntivaryOn.add_left
Mathlib.Algebra.Order.Monovary
[ "Preorder.toLT", "AddCommGroup.toAddCommMonoid", "covariant_swap_add_of_covariant_add", "AddMonoid.toAddZeroClass", "add_le_add", "PartialOrder.toPreorder", "Preorder.toLE", "AddCommGroup.toAddGroup", "Membership.mem", "AddZeroClass.toAddZero", "PartialOrder", "AddCommGroup", "AntivaryOn", ...
true
CategoryTheory.Abelian.SpectralObject.rightHomologyDataShortComplex._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
not_finite_iff_infinite._simp_1
Mathlib.Data.Finite.Defs
[ "not_finite_iff_infinite", "Finite", "propext", "Infinite", "Eq", "Not" ]
false
Affine.Simplex.sum_centroidWeightsWithCircumcenter
Mathlib.Geometry.Euclidean.Circumcenter
[ "Eq.mpr", "Real", "Inv", "instSubsingletonDecidable", "Finset.univ", "Ring.toNonAssocRing", "Real.instZero", "Real.instAddMonoid", "Real.instRCLike", "congrArg", "Real.instInv", "Set.indicator", "Finset", "AddMonoid.toAddZeroClass", "instDecidableEqFin", "AddGroupWithOne.toAddMonoidWit...
true
Std.DHashMap.Const.getKey!_filterMap
Std.Data.DHashMap.Lemmas
[ "Option.pfilter", "Std.DHashMap.filterMap", "Std.DHashMap.getKey!", "Std.DHashMap.Raw", "Option.some", "Std.DHashMap.wf", "Option.get!", "instOfNatNat", "LawfulHashable", "Subtype.mk", "EquivBEq", "Std.DHashMap.inner", "Std.DHashMap.getKey?", "Nat", "Std.DHashMap.Raw.buckets", "LT.lt",...
true
Algebra.ofSubsemiring
Mathlib.Algebra.Algebra.Basic
[ "SetLike", "NonAssocSemiring.toAddCommMonoidWithOne", "Algebra.algebraMap", "Subsemiring.subtype", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "SubsemiringClass", "AddMonoid.toAddZeroClass", "Subsemiring.ofClass", "Algebra", "Membership.mem", "AddZeroClass.toAddZero", "Algeb...
true
CategoryTheory.Sheaf.ΓNatIsoCoyoneda
Mathlib.CategoryTheory.Sites.GlobalSections
[ "CategoryTheory.Sheaf.ΓNatIsoSectionsFunctor._proof_2", "CategoryTheory.Limits.Types.hasColimitsOfShape", "CategoryTheory.instFaithfulForget", "CategoryTheory.GrothendieckTopology.Cover.shape", "CategoryTheory.Functor", "CategoryTheory.constantSheaf", "Opposite", "CategoryTheory.coyoneda", "Category...
true
NormedField.valuation
Mathlib.Topology.Algebra.Valued.NormedValued
[ "NormedCommRing.toNormedRing", "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "NormedCommRing.toSeminormedCommRing", "NormedRing.toRing", "SeminormedAddGroup.toNNNorm", "NNNorm.nnnorm", "Valuation.mk", "NNReal", "CommMonoidWithZero.toMonoidWithZero", "NormedField.valuation._pr...
true
Std.DTreeMap.getKey_union_of_not_mem_right
Std.Data.DTreeMap.Lemmas
[ "Std.DTreeMap.instUnion", "Std.DTreeMap", "congrArg", "Std.DTreeMap.mem_of_mem_union_of_not_mem_right", "Ord.mk", "Membership.mem", "Ordering", "Eq.mp", "Std.DTreeMap.Internal.Impl.getKey_union_of_contains_eq_false_right", "Std.DTreeMap.contains_eq_false_iff_not_mem", "Std.DTreeMap.inner", "St...
true
CompactlyCoherentSpace.isCoherentWith
Mathlib.Topology.Compactness.CompactlyCoherentSpace
[ "CompactlyCoherentSpace", "Topology.IsCoherentWith", "setOf", "TopologicalSpace", "IsCompact", "Set" ]
true
ValuedCSP.Term.mk.sizeOf_spec
Mathlib.Combinatorics.Optimization.ValuedCSP
[ "ValuedCSP.Term._sizeOf_inst", "ValuedCSP.Term.mk", "ValuedCSP", "PartialOrder.toPreorder", "instSizeOfDefault", "Membership.mem", "PartialOrder", "instOfNatNat", "AddCommMonoid", "instHAdd", "HAdd.hAdd", "ValuedCSP.Term", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "instSizeOfN...
true
CategoryTheory.Functor.CoconeTypes.precompose
Mathlib.CategoryTheory.Limits.Types.ColimitType
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.Functor.CoconeTypes.precompose._proof_1", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "TypeCat.instFunLikeFun", "Function.comp", "CategoryTheory.Functor.CoconeTypes.ι", "CategoryTheory.Functor.CoconeTypes.pt...
true
IsAdjoinRoot.mk.congr_simp
Mathlib.RingTheory.IsAdjoinRoot
[ "IsAdjoinRoot.mk", "IsAdjoinRoot", "AlgHom.algHomClass", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "Polynomial.algebraOfAlgebra", "Algebra", "Eq.rec", "Algebra.id", "Set.instSingletonSet", "Ideal", "Polynomial", "CommSemiring", "Polynomial.semiring", "Eq.ndrec", "Semirin...
true
_private.Init.Data.Nat.Bitwise.Lemmas.0.Nat.testBit_two_pow_sub_succ._simp_1_4
Init.Data.Nat.Bitwise.Lemmas
[ "Nat.succ_lt_succ_iff", "Nat", "LT.lt", "propext", "instLTNat", "Nat.succ", "Eq" ]
false
Ordnode.Valid'.balanceR_aux
Mathlib.Data.Ordmap.Ordset
[ "Eq.mpr", "WithBot.some", "WithBot", "HMul.hMul", "Ordnode", "congrArg", "Ordnode.size_dual", "Ordnode.Valid'", "Eq.mp", "id", "instMulNat", "instOfNatNat", "LE.le", "Ordnode.size", "instLENat", "Ordnode.dual_balanceR", "WithTop.some", "Ordnode.Valid'.balanceL_aux", "instHAdd", ...
true
IsPrimitiveRoot.integralPowerBasis.eq_1
Mathlib.NumberTheory.NumberField.Cyclotomic.Basic
[ "Subalgebra.instSetLike", "PowerBasis", "Nat.instMulZeroClass", "IsPrimitiveRoot.integralPowerBasis._proof_1", "NumberField.instCommRingRingOfIntegers", "CommSemiring.toSemiring", "IsPrimitiveRoot.integralPowerBasisOfPrimePow._proof_2", "Rat", "AddGroupWithOne.toAddMonoidWithOne", "Algebra.adjoin"...
true
Localization.localAlgHom_apply
Mathlib.RingTheory.Localization.AtPrime.Basic
[ "AlgHom.algHomClass", "OreLocalization.instAlgebra", "CommSemiring.toSemiring", "AlgHom", "Localization.AtPrime", "Localization.localAlgHom", "Localization.localRingHom", "AlgHom.funLike", "Algebra", "RingHom", "Ideal", "CommSemiring", "RingHom.instFunLike", "OreLocalization.oreSetComm", ...
true
Aesop.RuleTac.ForwardM.State.ctorIdx
Aesop.RuleTac.Forward
[ "Nat", "Aesop.RuleTac.ForwardM.State" ]
false
CategoryTheory.typeEquiv_functor_obj_obj_map_hom_apply_hom_apply
Mathlib.CategoryTheory.Sites.Types
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.typesGrothendieckTopology", "CategoryTheory.ConcreteCategory.hom", "CategoryTheory.Functor.category", "Quiver.Hom.unop", "TypeCat.instFunLikeFun", "CategoryTheory.Equivalence.functor", "...
true
_private.Std.Tactic.BVDecide.LRAT.Internal.Formula.RupAddSound.0.Std.Tactic.BVDecide.LRAT.Internal.Assignment.instToString.match_1.eq_2
Std.Tactic.BVDecide.LRAT.Internal.Formula.RupAddSound
[ "Unit.unit", "Std.Tactic.BVDecide.LRAT.Internal.Assignment.neg", "Std.Tactic.BVDecide.LRAT.Internal.Assignment.unassigned", "Std.Tactic.BVDecide.LRAT.Internal.Assignment.instToString.match_1", "Std.Tactic.BVDecide.LRAT.Internal.Assignment.pos", "Unit", "Std.Tactic.BVDecide.LRAT.Internal.Assignment", "...
true
Polynomial.Chebyshev.T_neg_two
Mathlib.RingTheory.Polynomial.Chebyshev
[ "Polynomial.instOne", "CommRing", "HMul.hMul", "Polynomial.Chebyshev.T", "congrArg", "CommSemiring.toSemiring", "Polynomial.Chebyshev.T_two", "Nat.instAtLeastTwoHAddOfNat", "HSub.hSub", "Int.instNegInt", "instOfNatNat", "Int", "Polynomial", "Monoid.toPow", "CommRing.toCommSemiring", "i...
true
_private.Mathlib.SetTheory.Ordinal.Family.0.Ordinal.lt_blsub_iff._simp_1_1
Mathlib.SetTheory.Ordinal.Family
[ "Exists", "propext", "Classical.not_forall", "Eq", "Not" ]
false
SimpleGraph.CompleteEquipartiteSubgraph.card_parts
Mathlib.Combinatorics.SimpleGraph.CompleteMultipartite
[ "Finset", "instOfNatNat", "SimpleGraph", "Nat", "Finset.card", "Or", "SimpleGraph.CompleteEquipartiteSubgraph", "OfNat.ofNat", "Eq", "SimpleGraph.CompleteEquipartiteSubgraph.parts" ]
true
Aesop.instReprStrategy
Aesop.Options.Public
[ "Aesop.instReprStrategy.repr", "Repr.mk", "Aesop.Strategy", "Repr" ]
true
Std.DTreeMap.Internal.Impl.Equiv.beq_congr
Std.Data.DTreeMap.Internal.Lemmas
[ "Eq.mpr", "_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.Equiv.beq_congr._simp_1_4", "Std.Internal.List.beqModel", "Ord", "Std.instLawfulBEqOrd", "congrArg", "beqOfOrd", "Std.DTreeMap.Internal.Impl.Ordered.distinctKeys", "Std.TransOrd", "Std.DTreeMap.Internal.Impl.beq", ...
true
Lean.IR.Log.toString
Lean.Compiler.IR.CompilerM
[ "Std.Format.pretty", "Lean.IR.Log", "String", "Lean.IR.Log.format", "instOfNatNat", "Std.Format.defWidth", "Nat", "OfNat.ofNat" ]
true
CategoryTheory.Adjunction.Quadruple._sizeOf_1
Mathlib.CategoryTheory.Adjunction.Quadruple
[ "CategoryTheory.Functor", "CategoryTheory.Adjunction.Quadruple.rec", "CategoryTheory.Adjunction.Quadruple", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "CategoryTheory.Adjunction._sizeOf_inst", "SizeOf", "CategoryTheory.Adjunction", "OfNat.ofNat", "Catego...
false
isBot_toDual_iff
Mathlib.Order.Max
[ "OrderDual.instLE", "OrderDual.toDual", "Equiv.instEquivLike", "Iff.rfl", "IsBot", "Equiv", "LE", "Iff", "IsTop", "OrderDual", "DFunLike.coe", "EquivLike.toFunLike" ]
true
MvPolynomial.universalFactorizationMapPresentation_jacobiMatrix
Mathlib.RingTheory.Polynomial.UniversalFactorizationRing
[ "Derivation", "Fin.addCases_left", "Finsupp.instAddZeroClass", "Eq.mpr", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCommMonoidWithOne", "RingHom.instRingHomClass", "apply_dite", "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "CommRing", "Algebra.to_smulCommClass", "dite_congr", "Al...
true
Dist.mk
Mathlib.Topology.MetricSpace.Pseudo.Defs
[ "Real", "Dist.mk", "Dist" ]
true
_private.Mathlib.Algebra.Category.Grp.LeftExactFunctor.0.AddCommGrpCat.leftExactFunctorForgetEquivalence.instBraidedCategory
Mathlib.Algebra.Category.Grp.LeftExactFunctor
[ "CategoryTheory.Limits.HasFiniteBiproducts", "CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory", "_private.Mathlib.Algebra.Category.Grp.LeftExactFunctor.0.AddCommGrpCat.leftExactFunctorForgetEquivalence.instCartesianMonoidalCategory", "CategoryTheory.BraidedCategory.ofCartesianMonoidalCategory"...
true
_private.Init.Data.Range.Polymorphic.NatLemmas.0.Nat.getElem!_toArray_rcc_eq_zero_iff._simp_1_1
Init.Data.Range.Polymorphic.NatLemmas
[ "Std.Rco.toArray", "instInhabitedNat", "Std.PRange.instIsAlwaysFiniteNat_1", "instOfNatNat", "LE.le", "instLENat", "Nat.getElem!_toArray_rco_eq_zero_iff", "Array", "instHAdd", "And", "HAdd.hAdd", "Std.PRange.instUpwardEnumerableNat", "Nat", "LT.lt", "propext", "Std.PRange.instLawfulUpw...
false
Mathlib.Tactic.Sat.buildReify.reifyClause1
Mathlib.Tactic.Sat.FromLRAT
[ "Inhabited.default", "instInhabitedProd", "Lean.Expr", "Nat", "Inhabited", "Prod", "Inhabited.mk" ]
true
ProfiniteGrp.profiniteCompletion._proof_4
Mathlib.Topology.Algebra.Category.ProfiniteGrp.Completion
[ "GrpCat.instConcreteCategoryMonoidHomCarrier", "CategoryTheory.Category.assoc", "ProfiniteGrp.ProfiniteCompletion.lift_eta", "GrpCat", "MonoidHom.instFunLike", "CategoryTheory.CategoryStruct.toQuiver", "MonoidHom", "Quiver.Hom", "GrpCat.str", "ProfiniteGrp.ProfiniteCompletion.lift_eta_assoc", "M...
false
RootPairing.rootForm_self_eq_zero_iff
Mathlib.LinearAlgebra.RootSystem.Finite.Nondegenerate
[ "Submodule", "CommRing", "Semiring.toModule", "RootPairing.RootForm", "LinearMap.BilinForm", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "LinearOrder", "LinearMap.ker", "LinearMap.instFunLike", "IsStrictOrderedRing", "RootPairing.zero_le_rootForm", "Membership.mem", "Semilat...
true
Std.Time.instHAddOffsetOffset_41
Std.Time.Date.Basic
[ "Rat.instOfNat", "Rat", "Std.Time.Week.Offset.toDays", "Std.Time.Day.Offset", "HAdd", "Std.Time.Internal.UnitVal.add", "OfNat.ofNat", "HAdd.mk", "Std.Time.Week.Offset" ]
true
AddConjClasses.instDecidableEqOfDecidableRelIsAddConj
Mathlib.Algebra.Group.Conj
[ "DecidableRel", "IsAddConj", "AddConjClasses", "AddConjClasses.instDecidableEqOfDecidableRelIsAddConj._aux_1", "AddMonoid", "DecidableEq" ]
true
Lean.IR.Sorry.State.noConfusionType
Lean.Compiler.IR.Sorry
[ "Lean.NameMap", "Lean.IR.Sorry.State", "Bool", "Lean.Name", "Lean.IR.Sorry.State.casesOn", "Eq" ]
false
PreAbstractSimplicialComplex.instInfSet.match_1
Mathlib.AlgebraicTopology.SimplicialComplex.Basic
[ "PreAbstractSimplicialComplex.faces", "Set.iInter", "Finset", "setOf", "Membership.mem", "Set.instInter", "Inter.inter", "And.casesOn", "And.intro", "Finset.Nonempty", "PreAbstractSimplicialComplex", "Set.instMembership", "Set" ]
false
Lean.Widget.PanelWidgetsExtEntry._sizeOf_1
Lean.Widget.UserWidget
[ "Lean.Widget.PanelWidgetsExtEntry", "Lean.Widget.WidgetInstance", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Lean.instSizeOfName", "Nat", "SizeOf.sizeOf", "instAddNat", "Lean.Name", "OfNat.ofNat", "Lean.Widget.PanelWidgetsExtEntry.rec", "Lean.Widget.WidgetInstance._sizeOf_inst" ]
false
_private.Mathlib.LinearAlgebra.Dual.Lemmas.0.Module.instIsReflexiveOfFiniteOfProjective.match_1
Mathlib.LinearAlgebra.Dual.Lemmas
[ "LinearMap.id", "Pi.Function.module", "Semiring.toModule", "Pi.addCommMonoid", "CommSemiring.toSemiring", "Exists", "LinearMap", "AddCommMonoid", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "LinearMap.comp", "Exists.casesOn", "NonAssocSemiring.toNonUnitalNonAssocSemiring", ...
false
Shrink.instIsRightCancelAdd
Mathlib.Algebra.Group.Shrink
[ "IsRightCancelAdd", "Shrink.instAdd", "Shrink", "Equiv.symm", "equivShrink", "Equiv.isRightCancelAdd", "Add", "Small" ]
true
Lean.Expr.FoldConstsImpl.State.noConfusion
Lean.Util.FoldConsts
[ "Lean.NameHashSet", "Lean.PtrSet", "Lean.Expr.FoldConstsImpl.State.noConfusionType", "Lean.Expr", "Lean.Expr.FoldConstsImpl.State.casesOn", "Lean.Expr.FoldConstsImpl.State", "Eq.ndrec", "Eq.refl", "Eq" ]
false
Lean.Meta.Grind.AC.DiseqCnstrProof.brecOn.eq
Lean.Meta.Tactic.Grind.AC.Types
[ "Lean.Meta.Grind.AC.EqCnstr", "Lean.Meta.Grind.AC.DiseqCnstrProof.simp_middle", "Lean.Meta.Grind.AC.DiseqCnstr", "Lean.Grind.AC.Expr", "Lean.Meta.Grind.AC.DiseqCnstrProof", "Lean.Meta.Grind.AC.DiseqCnstrProof.erase_dup", "Lean.Meta.Grind.AC.DiseqCnstrProof.simp_suffix", "Lean.Meta.Grind.AC.DiseqCnstrP...
true
Array.PrefixTable.noConfusionType
Batteries.Data.Array.Match
[ "Array.PrefixTable.casesOn", "LE.le", "instLENat", "Array", "GetElem.getElem", "Array.PrefixTable", "Array.instGetElemNatLtSize", "Nat", "LT.lt", "HEq", "instLTNat", "Prod", "Prod.snd", "Array.size" ]
false
Lean.Compiler.LCNF.SimpleGroundExpr._sizeOf_1
Lean.Compiler.LCNF.SimpleGroundExpr
[ "UInt64", "String", "UInt8._sizeOf_inst", "instOfNatNat", "Array._sizeOf_inst", "Array", "instHAdd", "HAdd.hAdd", "Lean.instSizeOfName", "Lean.Compiler.LCNF.SimpleGroundExpr", "UInt64._sizeOf_inst", "Nat", "SizeOf.sizeOf", "instAddNat", "Lean.Name", "String._sizeOf_inst", "instSizeOf...
false
CochainComplex.homologyMap_exact₂_of_distTriang
Mathlib.Algebra.Homology.DerivedCategory.HomologySequence
[ "HomologicalComplex.homologyFunctor", "CategoryTheory.Abelian.toPreadditive", "instCategoryDerivedCategory", "CategoryTheory.Functor", "DerivedCategory.instHasZeroObject", "HomologicalComplex.instCategory", "DerivedCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "DerivedCategory...
true
Filter.IsCountablyGenerated.casesOn
Mathlib.Order.Filter.CountablyGenerated
[ "Filter.IsCountablyGenerated.mk", "Exists", "And", "Filter.IsCountablyGenerated", "Filter.generate", "Set.Countable", "Eq", "Filter.IsCountablyGenerated.rec", "Filter", "Set" ]
false
MeasureTheory.measureReal_prod_prod
Mathlib.MeasureTheory.Measure.Prod
[ "Set.instSProd", "Real", "MeasureTheory.Measure", "HMul.hMul", "SProd.sprod", "congrArg", "CommSemiring.toSemiring", "MeasureTheory.Measure.real", "MeasureTheory.Measure.prod_prod", "ENNReal.instCommSemiring", "instDistribOfSemiring", "MeasurableSpace", "ENNReal.toReal", "MeasureTheory.SFi...
true
SFinKer.tensorHom_def
Mathlib.Probability.Kernel.Category.SFinKer
[ "SFinKer.instMonoidalCategory", "SFinKer.Hom.hom", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "SFinKer.instMonoidalCategory._proof_9", "SFinKer", "SFinKer.of", "SFinKer.instMonoidalCategory._proof_6", "SFinKer.str", "ProbabilityTheory.Kernel.id", "SFinKer.Hom.mk", "ProbabilityTheo...
true
Lean.Meta.Sym.SimpGoalResult.closed.elim
Lean.Meta.Sym.Simp.Goal
[ "PULift.up", "Lean.Meta.Sym.SimpGoalResult.ctorElim", "Lean.Meta.Sym.SimpGoalResult", "Nat", "Lean.Meta.Sym.SimpGoalResult.closed", "Eq.symm", "Eq", "Lean.Meta.Sym.SimpGoalResult.ctorIdx" ]
false
Std.Tactic.BVDecide.BVExpr.bitblast.go._proof_21
Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Expr
[ "Std.Sat.AIG.ArbitraryShiftTarget.mk", "Std.Sat.AIG.Decl", "Std.Tactic.BVDecide.BVExpr.bitblast.blastArithShiftRight", "LE.le", "instLENat", "Subtype.mk", "Std.Sat.AIG", "Nat", "Std.Sat.AIG.ArbitraryShiftTarget", "Std.Sat.AIG.RefVecEntry.mk", "Std.Tactic.BVDecide.instDecidableEqBVBit", "Std.Sa...
false