name
string
module
string
deps
list
allowCompletion
bool
CategoryTheory.ShortComplex.moduleCat_exact_iff
Mathlib.Algebra.Homology.ShortComplex.ModuleCat
[ "ModuleCat", "CategoryTheory.ConcreteCategory.hom", "AddCommGroup.toAddCommMonoid", "CategoryTheory.ShortComplex", "LinearMap.instFunLike", "CategoryTheory.ShortComplex.X₁", "CategoryTheory.ShortComplex.exact_iff_of_hasForget", "Exists", "SubtractionMonoid.toSubNegZeroMonoid", "ModuleCat.instConcr...
true
CategoryTheory.IsCofiltered.nonempty
Mathlib.CategoryTheory.Filtered.Basic
[ "CategoryTheory.IsCofiltered", "Nonempty", "CategoryTheory.Category" ]
true
_private.Lean.Server.FileWorker.SemanticHighlighting.0.Lean.Server.FileWorker.splitStr
Lean.Server.FileWorker.SemanticHighlighting
[ "Pure.pure", "_private.Lean.Server.FileWorker.SemanticHighlighting.0.Lean.Server.FileWorker.splitStr.match_1", "Lean.Syntax.Range", "String.instLTRaw", "Lean.Syntax.Range.mk", "Lean.FileMap.toPosition", "Array.push", "Lean.FileMap.positions", "Monad.toApplicative", "Lean.FileMap", "Lean.Syntax.o...
true
Lean.Widget.inst._@.Lean.Widget.Basic.2038268869._hygCtx._hyg.3
Lean.Widget.Basic
[ "TypeName", "Classical.ofNonempty", "instNonemptyTypeName", "Lean.Elab.InfoWithCtx" ]
false
_private.Lean.Meta.Tactic.Grind.Split.0.Lean.Meta.Grind.SplitCandidate.noConfusionType
Lean.Meta.Tactic.Grind.Split
[ "Nat", "_private.Lean.Meta.Tactic.Grind.Split.0.Lean.Meta.Grind.SplitCandidate.casesOn", "Lean.Meta.Grind.SplitInfo", "Bool", "Eq", "_private.Lean.Meta.Tactic.Grind.Split.0.Lean.Meta.Grind.SplitCandidate" ]
false
Computation.think.eq_1
Mathlib.Data.Seq.Computation
[ "Computation.think", "Option.some", "instOfNatNat", "Computation", "Subtype.mk", "Stream'", "Option.none", "instHAdd", "HAdd.hAdd", "Nat", "instAddNat", "Eq.refl", "Stream'.cons", "OfNat.ofNat", "Subtype.val", "Eq", "Computation.think._proof_1", "Option" ]
true
CategoryTheory.Retract.op_i
Mathlib.CategoryTheory.Retract
[ "Opposite", "CategoryTheory.Retract.op", "Quiver.opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Quiver.Hom.op", "CategoryTheory.Retract.i", "CategoryTheory.Retract", "CategoryTheory.Retract.r", "Opposite.op", "CategoryTheory.Category.opposite", "Eq.refl", "CategoryTheory...
true
HeytingHom.mk
Mathlib.Order.Heyting.Hom
[ "Lattice.toSemilatticeSup", "HeytingHom.mk", "SupHom.toFun", "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeSup.toMax", "GeneralizedHeytingAlgebra.toHImp", "LatticeHom", "Bot.bot", "GeneralizedHeytingAlgebra.toLattice", "HeytingHom", "HeytingAlgebra.toGeneralizedHe...
true
_private.Std.Data.DHashMap.Internal.WF.0.Std.DHashMap.Internal.Raw₀.isHashSelf_filterMapₘ._simp_1_2
Std.Data.DHashMap.Internal.WF
[ "Option.some", "Exists", "Option.map", "And", "propext", "Eq", "Option.map_eq_some_iff", "Option" ]
false
Std.DHashMap.isEmpty_insertMany_list
Std.Data.DHashMap.Lemmas
[ "instForInOfForIn'", "Std.DHashMap.Raw", "inferInstance", "Bool.and", "Std.DHashMap.wf", "instOfNatNat", "Id", "Membership", "LawfulHashable", "Subtype.mk", "List", "EquivBEq", "Std.DHashMap.inner", "List.instMembership", "List.isEmpty", "Nat", "Std.DHashMap.Raw.buckets", "LT.lt", ...
true
Matrix.eq_zero_of_vecMul_eq_zero
Mathlib.LinearAlgebra.Matrix.Nondegenerate
[ "Eq.mpr", "Matrix.Nondegenerate.eq_zero_of_ortho", "IsDomain", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "dotProduct", "congrArg", "CommSemiring.toSemiring", "Matrix.nondegenerate_of_det_ne_zero", "Matrix", "Matrix.vecMul", "zero_dotProduct"...
true
CategoryTheory.Functor.WellOrderInductionData.Extension.mk.injEq
Mathlib.CategoryTheory.SmallObject.WellOrderInductionData
[ "Iff.mpr", "CategoryTheory.Functor.op", "CategoryTheory.Functor", "Preorder.toLT", "CategoryTheory.Functor.WellOrderInductionData", "Opposite", "Order.succ", "OrderHom.monotone", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Eq.propIntro", "CategoryTheory.ConcreteCategory.hom", "Q...
true
Std.TreeMap.Raw.Equiv.insertManyIfNewUnit_list
Std.Data.TreeMap.Raw.Lemmas
[ "Std.TreeMap.Raw.WF.out", "instForInOfForIn'", "Std.TreeMap.Raw.Equiv.inner", "Std.DTreeMap.Raw.Equiv.constInsertManyIfNewUnit_list", "Ordering", "inferInstance", "Std.TreeMap.Raw.Equiv", "Std.TransCmp", "Std.TreeMap.Raw.WF", "Id", "Std.TreeMap.Raw.inner", "Membership", "Std.TreeMap.Raw", ...
true
CategoryTheory.Limits.spanExt_inv_app_left
Mathlib.CategoryTheory.Limits.Shapes.Pullback.Cospan
[ "CategoryTheory.Functor", "CategoryTheory.Limits.WalkingSpan", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Limits.WalkingSpan.left", "CategoryTheory.Iso", "CategoryTheory.Limits.WalkingPair", "CategoryTheory.Limits.WidePushoutShape.categ...
true
_private.Mathlib.ModelTheory.Arithmetic.Presburger.Semilinear.Defs.0.IsLinearSet.closure._simp_1_4
Mathlib.ModelTheory.Arithmetic.Presburger.Semilinear.Defs
[ "add_assoc", "AddSemigroup", "instHAdd", "AddSemigroup.toAdd", "HAdd.hAdd", "Eq.symm", "Eq" ]
false
CategoryTheory.IsAccessibleCategory.rec
Mathlib.CategoryTheory.Presentable.LocallyPresentable
[ "CategoryTheory.IsCardinalAccessibleCategory", "Cardinal.IsRegular", "Cardinal", "Exists", "Fact", "CategoryTheory.IsAccessibleCategory.mk", "CategoryTheory.IsAccessibleCategory", "CategoryTheory.Category" ]
false
Std.Net.SocketAddressV6.mk
Std.Net.Addr
[ "Std.Net.IPv6Addr", "Std.Net.SocketAddressV6.mk", "UInt16", "Std.Net.SocketAddressV6" ]
true
IntermediateField.isIntegral_iff
Mathlib.FieldTheory.IntermediateField.Algebraic
[ "instSMulOfMul", "IntermediateField", "AlgHom", "AlgHom.funLike", "IntermediateField.toField", "isIntegral_algHom_iff", "Algebra", "Membership.mem", "Field.toDivisionRing", "Algebra.toModule", "Subtype", "DivisionRing.toRing", "CommRing.toNonAssocCommRing", "Field.toSemifield", "RingHom....
true
_private.Mathlib.Algebra.Homology.HomotopyCategory.DegreewiseSplit.0.CochainComplex.mappingConeHomOfDegreewiseSplitIso._proof_4
Mathlib.Algebra.Homology.HomotopyCategory.DegreewiseSplit
[ "Lean.RArray.leaf", "False", "Int.Linear.eq_eq_true", "congrArg", "Classical.byContradiction", "Int.Linear.Expr.add", "id", "False.casesOn", "Int.instNegInt", "instOfNatNat", "Int", "Bool.true", "instHAdd", "instOfNat", "HAdd.hAdd", "Nat", "True", "Bool", "Int.instAdd", "Int.Li...
false
Nat.gcd_sub_mul_right_right
Init.Data.Nat.Gcd
[ "Nat.gcd", "Eq.mpr", "HMul.hMul", "Nat.gcd_add_mul_right_right", "congrArg", "HSub.hSub", "id", "instSubNat", "instMulNat", "LE.le", "instLENat", "instHAdd", "instHSub", "Nat.sub_add_cancel", "HAdd.hAdd", "Nat", "instAddNat", "Eq.refl", "Eq.symm", "Eq", "instHMul" ]
true
SimpleGraph.pathGraph3ComplEmbeddingOf._proof_1
Mathlib.Combinatorics.SimpleGraph.CompleteMultipartite
[ "Exists.choose_spec", "Exists", "SimpleGraph.IsPathGraph3Compl", "SimpleGraph.IsCompleteMultipartite", "SimpleGraph.exists_isPathGraph3Compl_of_not_isCompleteMultipartite", "SimpleGraph", "Exists.choose", "Not" ]
false
_private.Std.Data.Iterators.Lemmas.Producers.Monadic.List.0.Std.Iterators.Types.ListIterator.instIterator.match_3.splitter
Std.Data.Iterators.Lemmas.Producers.Monadic.List
[ "Std.Iterators.Types.ListIterator", "Std.Iterators.Types.ListIterator.mk", "Std.IterM.mk", "List.cons", "List", "Unit", "Std.Iterators.Types.ListIterator.instIterator.match_3", "Std.IterM", "List.nil" ]
true
AlgebraicGeometry.Scheme.IdealSheafData.support_antitone
Mathlib.AlgebraicGeometry.IdealSheaf.Basic
[ "Eq.mpr", "AlgebraicGeometry.Scheme.IdealSheafData.support", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "Semiring.toModule", "Opposite", "CommRingCat.carrier", "AlgebraicGeometry.PresheafedSpace.carrier", "TopologicalSpace.Opens.instPartialOrder"...
true
Int64.toInt_sub
Init.Data.SInt.Lemmas
[ "Int64.toInt_add", "instPowNat", "Int64.toInt_neg", "Int64.toInt", "congrArg", "HSub.hSub", "Int64.sub_eq_add_neg", "instAddInt64", "Int.instNegInt", "Int64", "Int64.instNeg", "instOfNatNat", "Int", "instNatPowNat", "instHAdd", "instHSub", "HPow.hPow", "HAdd.hAdd", "Int.bmod", ...
true
CategoryTheory.is_coprod_iff_isPushout
Mathlib.CategoryTheory.Adhesive.Basic
[ "Eq.mpr", "CategoryTheory.Limits.IsColimit.fac", "CategoryTheory.Category.assoc", "CategoryTheory.Limits.BinaryCofan.inr", "CategoryTheory.Functor", "CategoryTheory.Limits.WalkingSpan", "CategoryTheory.Limits.BinaryCofan.IsColimit.hom_ext", "CategoryTheory.Limits.PushoutCocone.IsColimit.hom_ext", "C...
true
Algebra.TensorProduct.algHomOfLinearMapTensorProduct._proof_1
Mathlib.RingTheory.TensorProduct.Maps
[ "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsScalarTower", "AddMonoid.toAddZeroClass", "Algebra", "Algebra.toSMul", "AddZeroClass.toAddZero", "Algebra.toModule", "DistribSMul.toSMulZeroClass", "CommSemiring", "AddZero.toZero", "IsScalarTower.to_smulCommClass", "Semiring.to...
false
_private.Mathlib.LinearAlgebra.Goursat.0.Submodule.goursat._simp_1_6
Mathlib.LinearAlgebra.Goursat
[ "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
CategoryTheory.CatCenter.localizationRingHom
Mathlib.CategoryTheory.Center.Localization
[ "CategoryTheory.MorphismProperty", "MulOne.toOne", "CategoryTheory.Functor", "CategoryTheory.CatCenter", "RingHom.mk", "CategoryTheory.Functor.Additive", "OneHom.mk", "CategoryTheory.Functor.category", "CategoryTheory.functorCategoryPreadditive", "RingHom", "CategoryTheory.Functor.id", "Monoid...
true
_private.Std.Time.Date.ValidDate.0.Std.Time.ValidDate.ofOrdinal.go._unary._proof_3
Std.Time.Date.ValidDate
[ "Std.Time.Month.Ordinal.days", "Std.Time.Day.Ordinal.OfYear", "HSub.hSub", "Int.instDecidableEq", "Int", "LE.le", "_private.Std.Time.Date.ValidDate.0.Std.Time.ValidDate.ofOrdinal._proof_2", "instHAdd", "And", "instHSub", "instOfNat", "HAdd.hAdd", "Decidable.byContradiction", "Bool", "Int...
false
Matroid.contract_inter_ground_eq
Mathlib.Combinatorics.Matroid.Minor.Contract
[ "Eq.mpr", "Matroid.delete_inter_ground_eq", "congrArg", "Matroid.E", "Matroid.dual", "id", "Set.instInter", "Inter.inter", "Matroid.dual_delete_dual", "Matroid.dual_ground", "Eq.refl", "Eq.symm", "Eq", "Matroid", "Matroid.contract", "Matroid.delete", "Set" ]
true
Commute.isNilpotent_mul_left_iff
Mathlib.RingTheory.Nilpotent.Basic
[ "HMul.hMul", "Submonoid.pow_mem", "Commute.isNilpotent_mul_left", "Monoid.toMulOneClass", "congrArg", "Commute", "Membership.mem", "Eq.mp", "MulOne.toMul", "MulZeroOneClass.toMulOneClass", "instDistribOfSemiring", "Monoid.toPow", "MulOneClass.toMulOne", "Iff", "Exists.casesOn", "Monoid...
true
Std.DHashMap.Internal.Raw₀.insertIfNew_equiv_congr
Std.Data.DHashMap.Internal.RawLemmas
[ "Std.DHashMap.Raw.WF", "Eq.mpr", "_private.Std.Data.DHashMap.Internal.RawLemmas.0.Std.DHashMap.Internal.Raw₀.insertIfNew_equiv_congr._simp_1_1", "Std.DHashMap.Internal.Raw.WF.out", "Std.DHashMap.Raw", "List.Perm.congr_right", "Std.Internal.List.insertEntryIfNew", "Std.DHashMap.Raw.Equiv.impl", "id",...
true
_private.Mathlib.Data.Set.Image.0.Set.preimage_eq_empty_iff._simp_1_1
Mathlib.Data.Set.Image
[ "Membership.mem", "Set.eq_empty_iff_forall_notMem", "propext", "Set.instEmptyCollection", "EmptyCollection.emptyCollection", "Eq", "Set.instMembership", "Not", "Set" ]
false
CategoryTheory.AddMon.Hom.recOn
Mathlib.CategoryTheory.Monoidal.Mon
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.IsAddMonHom", "CategoryTheory.MonoidalCategory", "CategoryTheory.AddMon.Hom", "CategoryTheory.AddMon.Hom.rec", "CategoryTheory.AddMon.Hom.mk", "CategoryTheory.AddMon.addMon", "CategoryTheory.AddMon.X", "CategoryTheory.Category...
false
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.Equiv.inter_left._simp_1_2
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "beqOfOrd", "Ordering", "Std.DTreeMap.Internal.Impl.compare_ne_iff_beq_eq_false", "Ordering.eq", "Ne", "Ord.compare", "BEq.beq", "propext", "Bool", "Bool.false", "Eq" ]
false
AddCircle.gcd_mul_addOrderOf_div_eq
Mathlib.Topology.Instances.AddCircle.Defs
[ "Nat.gcd", "Nat.gcd_dvd_left", "Eq.mpr", "instHSMul", "Preorder.toLT", "instHDiv", "HMul.hMul", "congrArg", "LinearOrder", "AddCommMagma.to_isCommutative", "PartialOrder.toPreorder", "addOrderOf", "IsOfFinAddOrder.addOrderOf_nsmul", "AddGroupWithOne.toAddMonoidWithOne", "AddMonoid.toNSMu...
true
IsCompact.locallyCompactSpace_of_mem_nhds_of_group
Mathlib.Topology.Algebra.Group.Pointwise
[ "Filter.instMembership", "Eq.mpr", "WeaklyLocallyCompactSpace.mk", "DivInvMonoid.toInv", "instHSMul", "ContinuousConstSMul.continuous_const_smul", "instSMulOfMul", "HMul.hMul", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "congrArg", "SeparatelyContinuousMul.to_continuousSMul", "...
true
ringChar.of_eq
Mathlib.Algebra.CharP.Defs
[ "NonAssocSemiring.toAddCommMonoidWithOne", "CharP.congr", "AddCommMonoidWithOne.toAddMonoidWithOne", "NonAssocSemiring", "ringChar", "Nat", "CharP", "Eq", "ringChar.charP" ]
true
Std.Internal.Parsec.ParseResult.success.noConfusion
Std.Internal.Parsec.Basic
[ "Std.Internal.Parsec.ParseResult", "id", "heq_of_eq", "Std.Internal.Parsec.ParseResult.noConfusion", "Eq.refl", "HEq", "Std.Internal.Parsec.ParseResult.success", "Eq" ]
false
WittVector.poly_eq_of_wittPolynomial_bind_eq
Mathlib.RingTheory.WittVector.IsPoly
[ "MvPolynomial.map_bind₁", "Finsupp.instAddZeroClass", "wittPolynomial", "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "Nat.Prime", "LinearOrderedCommMonoidWithZero.toIsBotZeroClass", "Nat.instOne", "_private.Mathlib.RingTheory.WittVector.IsPoly.0.WittVector.poly_eq_of_wittPolynomial_bind_eq._...
true
_private.Mathlib.AlgebraicTopology.SimplexCategory.DeltaZeroIter.0.SimplexCategory.σ_σ₀Iter'._proof_1_11
Mathlib.AlgebraicTopology.SimplexCategory.DeltaZeroIter
[ "Lean.RArray.leaf", "Lean.RArray.branch", "Nat.Linear.ExprCnstr.eq_of_toNormPoly_eq", "id", "instOfNatNat", "Nat.Linear.Expr.num", "Bool.true", "instHAdd", "HAdd.hAdd", "Nat", "Eq.substr", "Bool", "instAddNat", "Eq.refl", "Nat.Linear.Expr.add", "OfNat.ofNat", "Nat.Linear.ExprCnstr.mk...
false
TwoSidedIdeal.orderIsoIsTwoSided_symm_apply
Mathlib.RingTheory.TwoSidedIdeal.Operations
[ "Semiring.toModule", "Ring.toNonAssocRing", "TwoSidedIdeal", "PartialOrder.toPreorder", "Preorder.toLE", "Subtype", "Ideal.IsTwoSided", "RelIso.symm", "Submodule.instPartialOrder", "LE.le", "Ideal", "NonAssocRing.toNonUnitalNonAssocRing", "RelIso", "RelIso.instFunLike", "Eq.refl", "Two...
true
Finset.mem_addAntidiagonal._simp_1
Mathlib.Data.Finset.MulAntidiagonal
[ "Set.IsPWO", "Finset", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "Membership.mem", "AddZeroClass.toAddZero", "PartialOrder", "Prod.fst", "AddCommMonoid", "instHAdd", "And", "Finset.instSetLike", "HAdd.hAdd", "propext", "Finset.addAntidiagonal", "AddZero.toAdd", "AddCommM...
false
IsPreconnected.eq_one_or_eq_neg_one_of_sq_eq
Mathlib.Topology.Algebra.Field
[ "NegZeroClass.toNeg", "Set.fintypeSingleton", "Pi.instNeg", "congrArg", "Finite.Set.finite_insert", "_private.Mathlib.Topology.Algebra.Field.0.IsPreconnected.eq_one_or_eq_neg_one_of_sq_eq._simp_1_1", "AddGroupWithOne.toAddMonoidWithOne", "instInhabitedTrue", "Membership.mem", "Exists", "Eq.mp", ...
true
Std.DHashMap.Raw.toList_insert_perm
Std.Data.DHashMap.RawLemmas
[ "Std.DHashMap.Raw.WF", "Eq.mpr", "instDecidableNot", "congrArg", "Std.DHashMap.Raw", "Std.DHashMap.Raw.toList", "id", "instDecidableEqBool", "List.Perm", "Sigma.fst", "instOfNatNat", "Std.DHashMap.Raw.WF.size_buckets_pos", "Std.DHashMap.Internal.Raw.insert_eq", "LawfulHashable", "List.co...
true
Fin.preimage_natAdd_uIoc_natAdd
Mathlib.Order.Interval.Set.Fin
[ "Set.Ioc", "Lattice.toSemilatticeSup", "Fin.natAdd", "StrictMono.monotone", "congrArg", "PartialOrder.toPreorder", "Set.uIoc", "SemilatticeInf.toPartialOrder", "SemilatticeSup.toMax", "DistribLattice.toLattice", "Monotone.map_max", "Fin.preimage_natAdd_Ioc_natAdd", "SemilatticeInf.toMin", ...
true
CategoryTheory.Functor.CoconeTypes.IsColimit.equiv.congr_simp
Mathlib.CategoryTheory.Limits.Types.ColimitType
[ "CategoryTheory.Functor", "CategoryTheory.Functor.ColimitType", "Equiv", "CategoryTheory.Functor.CoconeTypes.pt", "CategoryTheory.Functor.CoconeTypes.IsColimit", "CategoryTheory.Functor.CoconeTypes", "CategoryTheory.types", "CategoryTheory.Functor.CoconeTypes.IsColimit.equiv", "Eq.refl", "Eq", "...
true
Lean.Parser.TokenCacheEntry.startPos._default
Lean.Parser.Types
[ "id", "String.Pos.Raw", "String.instOfNatRaw", "OfNat.ofNat" ]
false
_private.Mathlib.Util.AtomM.Recurse.0.Mathlib.Tactic.AtomM.Recurse.instBEqConfig.beq.match_1
Mathlib.Util.AtomM.Recurse
[ "Mathlib.Tactic.AtomM.Recurse.Config.casesOn", "Lean.Meta.TransparencyMode", "Mathlib.Tactic.AtomM.Recurse.Config.mk", "Bool", "Mathlib.Tactic.AtomM.Recurse.Config" ]
false
ContMDiffWithinAt.clm_postcomp
Mathlib.Geometry.Manifold.ContMDiff.NormedSpace
[ "NormedCommRing.toNormedRing", "NormedCommRing.toSeminormedCommRing", "ContinuousLinearMap.toNormedSpace._proof_1", "ContinuousLinearMap.toNormedAddCommGroup", "NormedRing.toRing", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "chartedSpaceSelf", "ContMDiffWithi...
true
FirstOrder.Language.Substructure.closure_induction
Mathlib.ModelTheory.Substructures
[ "Iff.mpr", "ChainCompletePartialOrder.instOfCompleteLattice", "PartialOrder.toPreorder", "setOf", "Preorder.toLE", "Membership.mem", "FirstOrder.Language.Substructure.instSetLike", "HasSubset.Subset", "LE.le", "ChainCompletePartialOrder.toPartialOrder", "FirstOrder.Language.ClosedUnder", "Firs...
true
Equiv.compl
Mathlib.Order.OrderDual
[ "Equiv.instEquivLike", "Compl.compl", "Equiv", "Compl", "Equiv.symm", "DFunLike.coe", "Compl.mk", "EquivLike.toFunLike" ]
true
Lean.Meta.Tactic.Cbv.CbvSimprocs.mk._flat_ctor
Lean.Meta.Tactic.Cbv.CbvSimproc
[ "Lean.Meta.Tactic.Cbv.CbvSimprocs", "Lean.Meta.Tactic.Cbv.CbvSimprocEntry", "Lean.PHashSet", "Lean.Meta.Tactic.Cbv.CbvSimprocs.mk", "Lean.Meta.DiscrTree", "Lean.Name", "Lean.Name.instBEq", "Lean.instHashableName" ]
false
String.utf8ByteSize_sliceFrom
Init.Data.String.Basic
[ "String.toSlice", "String.sliceFrom", "congrArg", "String.Slice.Pos.offset", "String", "HSub.hSub", "String.Slice.sliceFrom", "String.utf8ByteSize", "String.Pos.toSlice", "String.Pos.offset_toSlice", "instSubNat", "String.Slice.utf8ByteSize", "String.Pos.Raw", "instHSub", "String.utf8Byt...
true
CategoryTheory.CartesianClosed.uncurry
Mathlib.CategoryTheory.Monoidal.Closed.Cartesian
[ "CategoryTheory.MonoidalClosed.uncurry", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.MonoidalCategoryStruct.tensorObj", "CategoryTheory.ihom", "CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct", "CategoryTheory.Category.toCategoryS...
true
Mathlib.Tactic.Conv.Path.ctorElimType
Mathlib.Tactic.Widget.Conv
[ "cond", "Nat.ble", "Mathlib.Tactic.Conv.Path.type", "PULift", "Mathlib.Tactic.Conv.Path.arg", "Nat", "Mathlib.Tactic.Conv.Path.fun", "Mathlib.Tactic.Conv.Path.body", "Bool", "Lean.Name", "Mathlib.Tactic.Conv.Path" ]
false
OrderMonoidHom.fst._proof_1
Mathlib.Algebra.Order.Monoid.Lex
[ "Monoid", "MonoidHom.instFunLike", "MonoidHom", "Monoid.toMulOneClass", "PartialOrder.toPreorder", "Monotone", "Prod.instMulOneClass", "PartialOrder", "MulOneClass.toMulOne", "MonoidHom.fst_mono", "MonoidHom.fst", "Prod.instPreorder", "Prod", "DFunLike.coe", "Preorder" ]
false
_private.Std.Data.TreeSet.Lemmas.0.Std.TreeSet.size_toArray._simp_1_1
Std.Data.TreeSet.Lemmas
[ "Std.TreeSet", "Std.TreeSet.toList", "Std.TreeSet.toArray_toList", "Ordering", "Std.TreeSet.toArray", "List.toArray", "Array", "Eq.symm", "Eq" ]
false
Set.preimage_const
Mathlib.Data.Set.Image
[ "Set.univ", "_private.Mathlib.Data.Set.Image.0.Set.preimage_const._proof_1_1", "Decidable", "Membership.mem", "Set.preimage", "Set.instEmptyCollection", "EmptyCollection.emptyCollection", "Eq", "Set.instMembership", "ite", "Set" ]
true
Multiset.union_le_iff
Mathlib.Data.Multiset.UnionInter
[ "Lattice.toSemilatticeSup", "PartialOrder.toPreorder", "Multiset.instLattice", "Preorder.toLE", "Multiset", "LE.le", "sup_le_iff", "And", "Iff", "Multiset.instUnion", "Union.union", "Multiset.instPartialOrder", "DecidableEq" ]
true
genericPoint_specializes
Mathlib.Topology.Sober
[ "Specializes", "IsGenericPoint.specializes", "IsIrreducible.genericPoint", "congrArg", "IsIrreducible.isGenericPoint_genericPoint_closure", "Set.mem_univ._simp_1", "Set.univ", "IsClosed.closure_eq", "Membership.mem", "IrreducibleSpace.isIrreducible_univ", "QuasiSober", "IsClosed", "Topologic...
true
OrderMonoidWithZeroHom._sizeOf_inst
Mathlib.Algebra.Order.Hom.MonoidWithZero
[ "OrderMonoidWithZeroHom", "MulZeroOneClass", "SizeOf.mk", "OrderMonoidWithZeroHom._sizeOf_1", "SizeOf", "Preorder" ]
false
Mathlib.Meta.NormNum.Result.toSimpResult.match_1
Mathlib.Tactic.NormNum.Result
[ "Lean.Expr.const", "Lean.Expr.sort", "Lean.Level", "List.cons", "Qq.Quoted", "Lean.Expr.app", "Sigma.mk", "Sigma.casesOn", "Lean.Level.succ", "Lean.Name.mkStr1", "Sigma", "List.nil" ]
false
PositiveLinearMap.gnsStarAlgHom._proof_13
Mathlib.Analysis.CStarAlgebra.GelfandNaimarkSegal
[ "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "CStarAlgebra.toNonUnitalCStarAlgebra", "NonUnitalCStarAlgebra.toNonUnitalNormedRing", "Semiring.toModule", "instSMulOfMul", "NormedRing.toRing", "NormedSpace.toIsBoundedSMul", "CommSemiring.toSemiring", "AddCommGroup.toAddC...
false
Batteries.BinomialHeap.Imp.Heap.headD._f
Batteries.Data.BinomialHeap.Basic
[ "Batteries.BinomialHeap.Imp.Heap", "Batteries.BinomialHeap.Imp.HeapNode", "instDecidableEqBool", "Batteries.BinomialHeap.Imp.Heap.cons", "Bool.true", "Batteries.BinomialHeap.Imp.Heap.below", "Batteries.BinomialHeap.Imp.Heap.nil", "Unit", "Batteries.BinomialHeap.Imp.Heap.realSize.match_1", "Nat", ...
false
SSet.N.mk_surjective
Mathlib.AlgebraicTopology.SimplicialSet.NonDegenerateSimplices
[ "SSet.S.simplex", "Opposite", "SSet.N.mk", "SSet.nonDegenerate", "Membership.mem", "Exists", "Set.Elem", "SSet", "Subtype.mk", "SSet.N.toS", "SimplexCategory.mk", "Opposite.op", "Nat", "Subtype.prop", "SSet.S.dim", "CategoryTheory.types", "Exists.intro", "SimplexCategory", "Categ...
true
_private.Std.Data.DTreeMap.Internal.Model.0.Std.DTreeMap.Internal.Cell.Const.get?.match_1.splitter
Std.Data.DTreeMap.Internal.Model
[ "Std.DTreeMap.Internal.Cell.Const.get?.match_1", "Option.some", "Option.none", "Unit", "Sigma", "Option" ]
true
_private.Lean.Compiler.ExternAttr.0.Lean.expandExternPatternAux._unary.eq_def
Lean.Compiler.ExternAttr
[ "Eq.mpr", "instDecidableNot", "String.Pos.next", "String.sliceFrom", "instSubsingletonDecidable", "String.Pos.le_ofSliceFrom", "_private.Lean.Compiler.ExternAttr.0.Lean.expandExternPatternAux.match_1", "congrArg", "String", "invImage", "HSub.hSub", "Decidable", "String.push", "List.getD", ...
false
Algebra.Extension.algebraBaseChange._proof_3
Mathlib.RingTheory.Extension.Basic
[ "CommRing", "CommSemiring.toSemiring", "Algebra", "Algebra.toModule", "Algebra.TensorProduct.instMul._proof_1", "NonUnitalNonAssocSemiring.toAddCommMonoid", "CommRing.toCommSemiring", "CommMonoid.toMonoid", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "CommSemiring.toCommMonoid", "Monoid.toSe...
false
MeasureTheory.ae_mem_iff_measure_eq
Mathlib.MeasureTheory.Measure.Typeclasses.Finite
[ "MeasureTheory.ae", "MeasureTheory.Measure", "Set.univ", "Filter.Eventually", "MeasureTheory.NullMeasurableSet", "Membership.mem", "MeasurableSpace", "Iff", "MeasureTheory.IsFiniteMeasure", "ENNReal", "Eq", "Set.instMembership", "DFunLike.coe", "MeasureTheory.ae_iff_measure_eq", "Measure...
true
Filter.HasBasis.inf_neBot_iff
Mathlib.Order.Filter.Bases.Basic
[ "Filter.instMembership", "Filter.HasBasis.inf_basis_neBot_iff", "Filter.NeBot", "Membership.mem", "Set.instInter", "Filter.instInf", "Inter.inter", "Filter.basis_sets", "Filter.HasBasis", "Iff", "Set.Nonempty", "Filter", "Min.min", "Set" ]
true
BialgEquiv.ofAlgEquiv._proof_7
Mathlib.RingTheory.Bialgebra.Equiv
[ "Function.LeftInverse", "Equiv.toFun", "CommSemiring", "Bialgebra", "AlgEquiv", "Semiring", "Bialgebra.toAlgebra", "AlgEquiv.toEquiv", "Equiv.invFun", "Equiv.left_inv" ]
false
_private.Mathlib.NumberTheory.LSeries.Nonvanishing.0.DirichletCharacter.zetaMul_prime_pow_nonneg._simp_1_2
Mathlib.NumberTheory.LSeries.Nonvanishing
[ "Nontrivial", "pow_eq_zero_iff'", "Ne", "instOfNatNat", "Monoid.toPow", "And", "MonoidWithZero", "MonoidWithZero.toMulZeroOneClass", "HPow.hPow", "Nat", "propext", "Zero.toOfNat0", "instHPow", "MulZeroOneClass.toMulZeroClass", "OfNat.ofNat", "Eq", "MonoidWithZero.toMonoid", "MulZer...
false
Filter.mem_sup
Mathlib.Order.Filter.Basic
[ "Filter.instMembership", "Iff.rfl", "Membership.mem", "And", "Iff", "Max.max", "Filter.instSup", "Filter", "Set" ]
true
CategoryTheory.Functor.PreservesRightHomologyOf.mk._flat_ctor
Mathlib.Algebra.Homology.ShortComplex.PreservesHomology
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Functor", "CategoryTheory.ShortComplex.RightHomologyData", "CategoryTheory.Functor.PreservesRightHomologyOf.mk", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.RightHomologyData.IsPreservedBy", "CategoryTheory.Functor.PreservesRightH...
false
_private.Aesop.Forward.State.0.Aesop.VariableMap.modifyM.match_3
Aesop.Forward.State
[ "Unit.unit", "Aesop.InstMap", "Option.casesOn", "Option.some", "Option.none", "Unit", "Option" ]
false
Matroid.mapSetEmbedding_indep_iff'
Mathlib.Combinatorics.Matroid.Map
[ "Eq.mpr", "congrArg", "Matroid.E", "Membership.mem", "Exists", "Eq.mp", "Matroid.Indep", "Set.Elem", "id", "Subtype", "HasSubset.Subset", "Matroid.mapSetEmbedding", "_private.Mathlib.Combinatorics.Matroid.Map.0.Matroid.mapSetEmbedding._simp_5", "Function.Embedding", "And.casesOn", "And...
true
CategoryTheory.ShortComplex.leftHomologyFunctorOpNatIso._proof_1
Mathlib.Algebra.Homology.ShortComplex.RightHomology
[ "CategoryTheory.Functor.op", "CategoryTheory.Category.assoc", "CategoryTheory.Limits.HasZeroMorphisms", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.ShortComplex.rightHomology", "Quiver.Hom", "CategoryTheory.CategoryStruct.opposite", "congrArg", "CategoryTheory.ShortComple...
false
AffineMap.instFunLike
Mathlib.LinearAlgebra.AffineSpace.AffineMap
[ "DFunLike.mk", "AddCommGroup.toAddCommMonoid", "AddCommGroup.toAddGroup", "AddCommGroup", "AffineMap", "AddTorsor", "AffineMap.toFun", "Module", "Ring.toSemiring", "AffineMap.instFunLike._proof_1", "Ring", "FunLike" ]
true
Topology.IsEmbedding.comapUniformSpace
Mathlib.Topology.UniformSpace.UniformEmbedding
[ "UniformSpace", "Topology.IsEmbedding.comapUniformSpace._proof_1", "UniformSpace.replaceTopology", "TopologicalSpace", "Topology.IsEmbedding", "UniformSpace.comap", "UniformSpace.toTopologicalSpace" ]
true
_private.Mathlib.NumberTheory.DirichletCharacter.Orthogonality.0.DirichletCharacter.sum_char_inv_mul_char_eq._simp_1_1
Mathlib.NumberTheory.DirichletCharacter.Orthogonality
[ "HMul.hMul", "Mul", "MulHomClass", "map_mul", "Eq.symm", "Eq", "DFunLike.coe", "FunLike", "instHMul" ]
false
Nat.add_mod_add_ite
Mathlib.Data.Nat.ModEq
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Nat.mod_zero", "MulOne.toOne", "Nat.ModEq.add", "instHDiv", "HMul.hMul", "Nat.mod_modEq", "congrArg", "add_assoc", "lt_of_not_ge", "AddMonoid.toAddZeroClass", "Nat.instAtLeastTwoHAddOfNat", "AddCancelMonoid.toAddRightCancelMonoid", "N...
true
continuousAt_nsmul
Mathlib.Topology.Algebra.Monoid
[ "continuous_nsmul", "instHSMul", "ContinuousAt", "AddMonoid.toAddZeroClass", "AddMonoid.toNSMul", "AddZeroClass.toAddZero", "Continuous.continuousAt", "TopologicalSpace", "Nat", "AddMonoid", "AddZero.toAdd", "HSMul.hSMul", "ContinuousAdd" ]
true
List.idxOf_cons_ne
Mathlib.Data.List.Basic
[ "cond", "congrArg", "beq_false_of_ne", "List.idxOf_cons", "LawfulBEq", "Ne", "instOfNatNat", "List.cons", "List", "instHAdd", "BEq.beq", "Nat.add_left_cancel_iff._simp_1", "HAdd.hAdd", "Nat", "True", "eq_self", "Bool", "of_eq_true", "instAddNat", "congrFun'", "OfNat.ofNat", ...
true
_private.Mathlib.RingTheory.Nullstellensatz.0.MvPolynomial.eq_vanishingIdeal_singleton_of_isMaximal._simp_1_1
Mathlib.RingTheory.Nullstellensatz
[ "Semiring.toModule", "Membership.mem", "Ideal", "Iff", "Submodule.setLike", "propext", "Semiring", "Ideal.ext_iff", "Eq", "Semiring.toAddCommMonoid", "SetLike.instMembership" ]
false
Algebra.idealMap._proof_1
Mathlib.RingTheory.Ideal.Maps
[ "Semiring.toModule", "Algebra.algebraMap", "CommSemiring.toSemiring", "Ideal.mem_map_of_mem", "Algebra", "RingHom", "Membership.mem", "Ideal.map", "Ideal", "CommSemiring", "RingHom.instFunLike", "Submodule.setLike", "Semiring", "Semiring.toNonAssocSemiring", "DFunLike.coe", "Semiring.t...
false
WeierstrassCurve.variableChange_a₂
Mathlib.AlgebraicGeometry.EllipticCurve.VariableChange
[ "WeierstrassCurve.VariableChange.r", "Units.val", "CommRing", "instHSMul", "HMul.hMul", "AddGroupWithOne.toAddGroup", "CommSemiring.toSemiring", "Nat.instAtLeastTwoHAddOfNat", "AddGroupWithOne.toAddMonoidWithOne", "HSub.hSub", "WeierstrassCurve.VariableChange.u", "Units", "Distrib.toAdd", ...
true
_private.Mathlib.RingTheory.WittVector.TeichmullerSeries.0.WittVector._aux_Mathlib_RingTheory_WittVector_TeichmullerSeries___unexpand_WittVector_1
Mathlib.RingTheory.WittVector.TeichmullerSeries
[ "Pure.pure", "cond", "Lean.TSyntax", "Unit.unit", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Syntax.matchesIdent", "Lean.Name.mkNum", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "Lean.PrettyPrinter.UnexpandM", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Sy...
false
Finset.toRight_union
Mathlib.Data.Finset.Sum
[ "Finset.instUnion", "congrArg", "Finset", "instDecidableEqSum", "Finset.ext", "Membership.mem", "Sum", "Finset.mem_toRight._simp_1", "Finset.toRight", "Finset.mem_union._simp_1", "iff_self", "Iff", "Finset.instSetLike", "Sum.inr", "congr", "True", "of_eq_true", "Or", "Union.union...
true
CategoryTheory.Span.id.congr_simp
Mathlib.CategoryTheory.Bicategory.Span.Basic
[ "CategoryTheory.MorphismProperty", "CategoryTheory.Span.id", "Eq.refl", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.MorphismProperty.ContainsIdentities", "Eq", "CategoryTheory.Span", "CategoryTheory.Category" ]
true
Lean.JsonRpc.MessageMetaData.response.elim
Lean.Data.JsonRpc
[ "PULift.up", "Lean.JsonRpc.MessageMetaData", "Lean.JsonRpc.MessageMetaData.response", "Lean.JsonRpc.MessageMetaData.ctorElim", "Nat", "Lean.JsonRpc.MessageMetaData.ctorIdx", "Lean.JsonRpc.RequestID", "Eq.symm", "Eq" ]
false
CategoryTheory.Limits.imageSubobject_arrow_comp
Mathlib.CategoryTheory.Subobject.Limits
[ "CategoryTheory.Limits.factorThruImage", "CategoryTheory.Category.assoc", "CategoryTheory.Subobject.arrow", "CategoryTheory.Subobject.underlying", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Limits.imageSubobject", "PartialOrder.toPreorder", "CategoryTheory....
true
HasSum.mul_of_nonarchimedean
Mathlib.Topology.Algebra.InfiniteSum.Nonarchimedean
[ "UniformSpace", "Eq.mpr", "UniformSpace.Completion.coe'", "HMul.hMul", "UniformSpace.Completion.mul", "Ring.toNonAssocRing", "IsTopologicalRing.toIsTopologicalSemiring", "AddGroupWithOne.toAddGroup", "congrArg", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "SummationFilter", "...
true
RootPairing.EmbeddedG2.longRoot
Mathlib.LinearAlgebra.RootSystem.Finite.G2
[ "CommRing", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "AddCommGroup", "RootPairing.EmbeddedG2.long", "Function.Embedding", "CommRing.toCommSemiring", "RootPairing.root", "Module", "Function.instFunLikeEmbedding", "DFunLike.coe", "RootPairing.EmbeddedG2", "RootPairing" ]
true
Ordinal.exists_lsub_cof
Mathlib.SetTheory.Cardinal.Cofinality.Ordinal
[ "Eq.mpr", "csInf_mem", "Cardinal", "congrArg", "setOf", "Cardinal.mk", "Exists", "id", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", "Ordinal.cof_lsub_def_nonempty", "Cardinal.instWellFoundedLT", "Ordinal.cof_eq_sInf_lsub", "Cardinal.instConditionallyCompleteLinearOrderB...
true
Asymptotics.isEquivalent_of_tendsto_one
Mathlib.Analysis.Asymptotics.AsymptoticEquivalent
[ "NormedCommRing.toNormedRing", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "NormedCommRing.toSeminormedCommRing", "False", "instHDiv", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "NeZero.one", "NormedRing.toRing", "HMul.hMul", "GroupWithZero.toDivInvMonoid", "MulZeroClass.toMul", "div_m...
true
Int.ediv_of_neg_of_pos
Mathlib.Data.Int.Init
[ "Eq.mpr", "Int.instDiv", "instHDiv", "congrArg", "HSub.hSub", "Int.eq_succ_of_zero_lt", "Exists", "id", "HDiv.hDiv", "Int.instNegInt", "Int.add_sub_cancel", "Int", "Int.eq_negSucc_of_lt_zero", "Nat.cast", "Int.instLTInt", "instHAdd", "instHSub", "instOfNat", "HAdd.hAdd", "Nat",...
true
TopologicalSpace.Clopens.coe_inf
Mathlib.Topology.Sets.Closeds
[ "TopologicalSpace.Clopens.instMin", "Set.instInter", "Inter.inter", "TopologicalSpace", "SetLike.coe", "TopologicalSpace.Clopens", "Eq", "Min.min", "rfl", "TopologicalSpace.Clopens.instSetLike", "Set" ]
true
Aesop.Queue.mk._flat_ctor
Aesop.Search.Queue.Class
[ "Aesop.Queue.mk", "Array", "Aesop.GoalRef", "Aesop.Queue", "Prod", "BaseIO", "Option" ]
false
Complex.norm_natCast_cpow_of_pos
Mathlib.Analysis.SpecialFunctions.Pow.Real
[ "Iff.mpr", "Real.instIsOrderedRing", "Norm.norm", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Real.instPow", "Real.partialOrder", "Real", "Preorder.toLT", "Nat.cast_pos", "congrArg", "PartialOrder.toPreorder", "Complex.instPow", "Complex.instNorm", "Real.semiring", "id", "A...
true