name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
MeasureTheory.Measure.Regular.smul
Mathlib.MeasureTheory.Measure.Regular
[ "instHSMul", "MeasureTheory.Measure", "instSMulOfMul", "MeasureTheory.Measure.Regular.innerRegular", "IsScalarTower.right", "CommSemiring.toSemiring", "Algebra.id", "MeasureTheory.Measure.instSMul", "Ne", "ENNReal.instCommSemiring", "MeasureTheory.Measure.Regular", "instDistribOfSemiring", "...
true
PiTensorProduct.tprodMonoidHom._proof_1
Mathlib.RingTheory.PiTensorProduct
[ "PiTensorProduct.instModule", "MulOne.toOne", "CommSemiring.toSemiring", "NonAssocSemiring.toMulZeroOneClass", "PiTensorProduct.instAddCommMonoid", "MultilinearMap", "PiTensorProduct.tprod", "Pi.mulOneClass", "MulZeroOneClass.toMulOneClass", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMo...
false
CochainComplex.mkHom_f_succ_succ
Mathlib.Algebra.Homology.HomologicalComplex
[ "PSigma.snd", "CategoryTheory.Limits.HasZeroMorphisms", "Nat.instOne", "HomologicalComplex.Hom.f", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CochainComplex.mkHom", "AddRightCancelSemigroup.toAddSemigroup", "AddCancelMonoid.toAddRightCancelMonoid", "CochainComplex.mkHomAux", "Nat.i...
true
Lean.Doc.DocHighlight.const.elim
Lean.Elab.DocString.Builtin
[ "Lean.Doc.DocHighlight.ctorIdx", "PULift.up", "Lean.Doc.DocHighlight", "Lean.Doc.DocHighlight.const", "Lean.Doc.DocHighlight.ctorElim", "Nat", "Std.Format", "Lean.Name", "Eq.symm", "Eq" ]
false
_private.Mathlib.Combinatorics.SimpleGraph.Copy.0.SimpleGraph.isContained_iff_exists_iso_subgraph.match_1_1
Mathlib.Combinatorics.SimpleGraph.Copy
[ "SimpleGraph.IsContained", "SimpleGraph.Copy", "Nonempty.intro", "SimpleGraph", "Nonempty.casesOn" ]
false
CategoryTheory.ChosenPullbacksAlong.ofHasPullbacksAlong
Mathlib.CategoryTheory.LocallyCartesianClosed.ChosenPullbacksAlong
[ "CategoryTheory.ChosenPullbacksAlong", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Over.pullback", "CategoryTheory.Limits.HasPullbacksAlong", "CategoryTheory.ChosenPullbacksAlong.mk", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Over.mapPullbackAdj", "Categ...
true
NumberField.RingOfIntegers.coe_mk
Mathlib.NumberTheory.NumberField.Basic
[ "Subalgebra.instSetLike", "CommSemiring.toSemiring", "Membership.mem", "Field.toDivisionRing", "DivisionRing.toRing", "Int", "Field.toCommRing", "Subtype.mk", "CommRing.toCommSemiring", "Int.instCommRing", "integralClosure", "Ring.toIntAlgebra", "Subalgebra", "Subtype.val", "Eq", "Fiel...
true
IsLocalizedModule.instIsTorsionFreeLocalizationLocalizedModuleOfIsDomain
Mathlib.Algebra.Module.LocalizedModule.Basic
[ "IsDomain", "CommRing", "Semiring.toModule", "IsScalarTower.right", "LocalizedModule", "OreLocalization.instAlgebra", "CommSemiring.toSemiring", "Module.IsTorsionFree", "Algebra.toModule", "Algebra.id", "IsLocalizedModule.isTorsionFree", "Localization", "localizedModuleIsLocalizedModule", ...
true
WeierstrassCurve.ΨSq_two
Mathlib.AlgebraicGeometry.EllipticCurve.DivisionPolynomial.Basic
[ "one_pow", "MulOne.toOne", "Polynomial.instOne", "CommRing", "HMul.hMul", "even_two._simp_1", "Monoid.toMulOneClass", "congrArg", "CommSemiring.toSemiring", "AddGroupWithOne.toAddMonoidWithOne", "WeierstrassCurve.Ψ₂Sq", "Int.instDecidablePredEven", "instOfNatNat", "Int", "WeierstrassCurv...
true
Filter.map_eq_comap_of_inverse
Mathlib.Order.Filter.Map
[ "Filter.map", "Function.comp", "Equiv.mk", "id", "congr_fun", "Eq", "Filter.map_equiv_symm", "Filter", "Filter.comap" ]
true
MeasureTheory.OuterMeasure.instSMul._proof_1
Mathlib.MeasureTheory.OuterMeasure.Operations
[ "Eq.mpr", "MulOne.toOne", "instHSMul", "instSMulOfMul", "HMul.hMul", "congrArg", "CommSemiring.toSemiring", "IsScalarTower", "SMul", "MeasureTheory.OuterMeasure", "id", "MulOne.toMul", "MeasureTheory.measure_empty", "ENNReal.instCommSemiring", "MulZeroClass.mul_zero", "MulZeroOneClass....
false
_private.Mathlib.Tactic.Linter.TextBased.0.Mathlib.Linter.TextBased.StyleError.unwantedUnicode.inj
Mathlib.Tactic.Linter.TextBased
[ "_private.Mathlib.Tactic.Linter.TextBased.0.Mathlib.Linter.TextBased.StyleError.unwantedUnicode", "_private.Mathlib.Tactic.Linter.TextBased.0.Mathlib.Linter.TextBased.StyleError", "_private.Mathlib.Tactic.Linter.TextBased.0.Mathlib.Linter.TextBased.StyleError.unwantedUnicode.noConfusion", "Char", "Eq" ]
true
Matrix.addMonoidHomMulLeft
Mathlib.Data.Matrix.Mul
[ "HMul.hMul", "Matrix", "Matrix.instHMulOfFintypeOfMulOfAddCommMonoid", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "AddMonoidHom.mk", "Matrix.mul_zero", "ZeroHom.mk", "NonUnitalNonAssocSemiring.toAddCommMonoid", "AddZero.toZero", "Matrix.mul_add", "Fintype", "Distrib.toMul", "Non...
true
Array.range'_eq_append_iff
Init.Data.Array.Range
[ "Array.instAppend", "HMul.hMul", "Nat.mul_one", "congrArg", "_private.Init.Data.Array.Range.0.Array.range'_eq_append_iff._simp_1_2", "_private.Init.Data.Array.Range.0.Array.range'_eq_append_iff._simp_1_1", "List.range'", "HSub.hSub", "Exists", "instSubNat", "Array.toList_append", "instMulNat",...
true
Multiset.cons_product
Mathlib.Data.Multiset.Bind
[ "Multiset.map", "Multiset.instSProd", "SProd.sprod", "congrArg", "Multiset", "Multiset.cons", "Prod.mk", "instHAdd", "HAdd.hAdd", "True", "eq_self", "of_eq_true", "congrFun'", "Prod", "Multiset.cons_bind", "Eq", "Multiset.bind", "Multiset.instAdd", "Eq.trans" ]
true
LinearMap.BilinForm.tensorDistrib._proof_3
Mathlib.LinearAlgebra.BilinearForm.TensorProduct
[ "IsScalarTower.to_smulCommClass'", "Semiring.toModule", "IsScalarTower.right", "LinearMap.BilinForm.tensorDistrib._proof_2", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "LinearMap.instSMulCommClass", "Algebra", "Algebra.toModule", "LinearMap.BilinForm.tensorDistrib._proof_1", "L...
false
_private.Lean.Compiler.ExternAttr.0.Lean.parseOptNum._f
Lean.Compiler.ExternAttr
[ "String.Pos.next", "HMul.hMul", "String", "HSub.hSub", "Char.toNat", "_private.Lean.Compiler.ExternAttr.0.Lean.parseOptNum.match_1", "Bool.and", "instDecidableEqBool", "Prod.mk", "instSubNat", "instMulNat", "instOfNatNat", "LE.le", "dite", "Nat.below", "Bool.true", "instHAdd", "ins...
false
_private.Lean.Meta.Tactic.Grind.Arith.Cutsat.Util.0.Int.Linear.Poly.pp.match_1
Lean.Meta.Tactic.Grind.Arith.Cutsat.Util
[ "Int.instDecidableEq", "Int", "Int.Linear.Var", "Int.Linear.Poly.num", "dite", "Int.Linear.Poly.add", "Int.Linear.Poly.casesOn", "instOfNat", "Eq.ndrec_symm", "OfNat.ofNat", "Eq", "Not", "Int.Linear.Poly" ]
false
IsLocalRing.map_mkQ_eq
Mathlib.RingTheory.LocalRing.Module
[ "Eq.mpr", "Submodule", "Submodule.le_of_le_smul_of_le_jacobson_bot", "RingHomSurjective.ids", "le_refl", "Submodule.Quotient.addCommMonoid", "CommRing", "instHSMul", "Eq.ge", "Lattice.toSemilatticeSup", "Semiring.toModule", "Submodule.comap_mono", "le_sup_left._simp_2", "congrArg", "Comm...
true
CategoryTheory.ShiftedHom.id_map
Mathlib.CategoryTheory.Shift.ShiftedHom
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.CommShift.id", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.shiftFunctor", "CategoryTheory.Functor.id", "CategoryTheory.CategoryStruct.id", "...
true
CategoryTheory.GrothendieckTopology.le_canonical
Mathlib.CategoryTheory.Sites.Canonical
[ "CategoryTheory.GrothendieckTopology.Subcanonical", "LE.le", "CategoryTheory.GrothendieckTopology", "CategoryTheory.Sheaf.canonicalTopology", "CategoryTheory.GrothendieckTopology.instLEGrothendieckTopology", "CategoryTheory.GrothendieckTopology.Subcanonical.le_canonical", "CategoryTheory.Category" ]
true
Algebra.Extension.Hom.algebraMap_toRingHom
Mathlib.RingTheory.Extension.Basic
[ "CommRing", "Algebra.Extension.commRing", "Algebra.Extension.Hom.toRingHom", "Algebra.algebraMap", "CommSemiring.toSemiring", "Algebra", "RingHom", "Algebra.Extension.Ring", "CommRing.toCommSemiring", "RingHom.instFunLike", "Algebra.Extension.Hom", "Algebra.Extension", "Semiring.toNonAssocSe...
true
Lean.Grind.CutsatConfig.maxSuggestions._inherited_default
Init.Grind.Config
[ "id", "Option.none", "Nat", "Option" ]
false
Submodule.botEquivPUnit_apply
Mathlib.Algebra.Module.Submodule.Lattice
[ "Submodule", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "Submodule.addCommMonoid", "PUnit.commRing", "Membership.mem", "PUnit.module", "Subtype", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "Bot.bot", "Submodule.module", "Submodule.botEquivPUnit",...
true
_private.Std.Internal.Http.Data.Body.Stream.0.Std.Http.Body.Channel.Consumer.normal.noConfusion
Std.Internal.Http.Data.Body.Stream
[ "_private.Std.Internal.Http.Data.Body.Stream.0.Std.Http.Body.Channel.Consumer.normal", "Std.Http.Chunk", "id", "IO.Promise", "_private.Std.Internal.Http.Data.Body.Stream.0.Std.Http.Body.Channel.Consumer.noConfusion", "Eq", "_private.Std.Internal.Http.Data.Body.Stream.0.Std.Http.Body.Channel.Consumer", ...
false
WeakFEPair.noConfusion
Mathlib.NumberTheory.LSeries.AbstractFuncEq
[ "Real.instPow", "Real", "Set.Ioi", "instHSMul", "instHDiv", "HMul.hMul", "NormedSpace", "Real.instZero", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "HEq.refl", "Real.instDivInvMonoid", "NormedSpace.toModule", "WeakFEPair.casesOn", "AddMonoid.toAddZeroClass", "Wea...
false
Subalgebra.instCommRingSubtypeMemCenter._proof_14
Mathlib.Algebra.Algebra.Subalgebra.Basic
[ "Subalgebra.instSetLike", "Semiring.toNatCast", "Subring.instSetLike", "AddGroupWithOne.intCast_ofNat._autoParam", "Ring.toNonAssocRing", "Subalgebra.center", "Subring.center", "IntCast.intCast", "Algebra", "Membership.mem", "Subtype", "Int", "Nat.cast", "autoParam", "Subalgebra.instComm...
false
OrderAddMonoidIso.map_le_map_iff'
Mathlib.Algebra.Order.Hom.Monoid
[ "OrderAddMonoidIso", "OrderAddMonoidIso.toAddEquiv", "Preorder.toLE", "Equiv.toFun", "LE.le", "Iff", "AddEquiv.toEquiv", "Add", "Preorder" ]
true
Subgroup.ofUnits_bot
Mathlib.Algebra.Group.Submonoid.Units
[ "Monoid", "Monoid.toMulOneClass", "PartialOrder.toPreorder", "Submonoid.units", "Preorder.toLE", "Units", "CompleteLattice.toBoundedOrder", "Subgroup", "Bot.bot", "Units.instGroup", "ofUnits_units_gc", "Submonoid.instCompleteLattice", "Submonoid.instPartialOrder", "BoundedOrder.toOrderBot"...
true
Ordinal.uniqueToTypeOne._proof_3
Mathlib.SetTheory.Ordinal.Basic
[ "Eq.mpr", "Ordinal.instLinearOrder", "Preorder.toLT", "isWellOrder_lt", "Ordinal.partialOrder", "congrArg", "instIsBotZeroClass", "HEq.refl", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "PrincipalSeg.toRelEmbedding", "Preorder.toLE", "Ordinal.typein_lt_type", "Membership.mem", ...
false
Std.Time.Month.Ordinal.ofNat
Std.Time.Date.Unit.Month
[ "GE.ge", "instOfNatNat", "LE.le", "instLENat", "autoParam", "And", "Nat", "Std.Time.Month.Ordinal.ofNat._auto_1", "OfNat.ofNat", "Std.Time.Internal.Bounded.LE.ofNat'", "Std.Time.Month.Ordinal" ]
true
CauSeq.coe_inf._simp_1
Mathlib.Algebra.Order.CauSeq.Basic
[ "AddGroupWithOne.toAddGroup", "abs", "Pi.instMinForall_mathlib", "LinearOrder", "IsStrictOrderedRing", "Field.toDivisionRing", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "DivisionRing.toRing", "SemilatticeInf.toMin", "Field.toSemifield", "Semifield.toDivisionSemiring", "Nat...
false
_private.Lean.Compiler.LCNF.ExplicitRC.0.Lean.Compiler.LCNF.Code.explicitRc.match_3
Lean.Compiler.LCNF.ExplicitRC
[ "False", "HEq.refl", "False.elim", "noConfusion_of_Nat", "Array.casesOn", "Eq.casesOn", "Lean.Compiler.LCNF.Purity", "Lean.Compiler.LCNF.Purity.pure", "Array", "Lean.Compiler.LCNF.Code", "List", "Lean.Compiler.LCNF.Alt.casesOn", "Lean.Compiler.LCNF.Alt.alt", "Lean.Compiler.LCNF.Purity.impu...
false
_private.Batteries.Data.Array.Lemmas.0.Array.extract_append_of_stop_le_size_left._proof_1_6
Batteries.Data.Array.Lemmas
[ "Array.instAppend", "Lean.Grind.CommRing.le_norm_expr", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "HMul.hMul", "Lean.Grind.CommRing.Expr.mul", "Int.Linear.norm_le", "eq_false", "Lean.Grind.CommRing.Expr.var", "Int.Linear.Expr.eq_of_norm_eq", "congrArg", "Lean.Grind.Order.le_of_eq_2_...
false
Fin.rec0
Mathlib.Data.Fin.Basic
[ "Fin.rec0._proof_1", "instOfNatNat", "Fin.val", "absurd", "Nat", "LT.lt", "Fin.rec0._proof_2", "instLTNat", "OfNat.ofNat", "Fin" ]
true
Lean.Server.instInhabitedRequestError.default
Lean.Server.Requests
[ "Lean.Server.RequestError.mk", "Inhabited.default", "Lean.JsonRpc.ErrorCode", "Lean.Server.RequestError", "String", "Lean.JsonRpc.instInhabitedErrorCode", "String.instInhabited" ]
true
AlgebraicGeometry.IsZariskiLocalAtSource.of_iSup_eq_top
Mathlib.AlgebraicGeometry.Morphisms.Basic
[ "Iff.mpr", "Set.ext", "CategoryTheory.MorphismProperty", "TopologicalSpace.Opens.coe_iSup", "SetLike.mem_coe._simp_1", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "Lattice.toSemilatticeSup", "CategoryTheory.PreZeroHypercover.f", "AlgebraicGeomet...
true
IsGaloisGroup.fixedPoints_eq_range_algebraMap
Mathlib.FieldTheory.Galois.IsGaloisGroup
[ "Set.ext", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Set.mem_range", "instHSMul", "FixedPoints.intermediateField", "Algebra.algebraMap", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IntermediateField", "Finite", "AddMonoid.toAddZeroClass", "AddGroup...
true
Lean.Elab.Tactic.evalWithReducibleAndInstances._regBuiltin.Lean.Elab.Tactic.evalWithReducibleAndInstances_1
Lean.Elab.Tactic.ElabTerm
[ "Lean.Elab.Tactic.tacticElabAttribute", "IO", "Lean.Elab.Tactic.evalWithReducibleAndInstances", "Unit", "Lean.Elab.Tactic.Tactic", "Lean.Name.mkStr4", "Lean.KeyedDeclsAttribute.addBuiltin" ]
false
List.splitOnP_cons_eq_if_modifyHead
Init.Data.List.SplitOn.Lemmas
[ "congrArg", "List.splitOnPPrepend_eq_modifyHead", "instDecidableEqBool", "List.cons", "List.splitOnPPrepend", "List.splitOnP", "Bool.true", "funext", "List.reverse_cons", "instHAppendOfAppend", "List", "True", "eq_self", "List.reverse", "Bool", "of_eq_true", "Eq.refl", "List.splitO...
true
IsMulCentral.left_assoc
Mathlib.Algebra.Group.Center
[ "HMul.hMul", "Mul", "IsMulCentral", "Eq", "instHMul" ]
true
Finpartition.parts_subset_extendOfLE
Mathlib.Order.Partition.Finpartition
[ "Eq.mpr", "disjoint_sdiff_self_right", "Lattice.toSemilatticeSup", "Finpartition.extendOfLE", "congrArg", "HEq.refl", "Finset", "OrderBot.toBot", "PartialOrder.toPreorder", "Finset.instReflSubset", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "Eq.rec", "dif_pos", "Eq.casesOn", "id...
true
QuaternionAlgebra.imIₗ
Mathlib.Algebra.Quaternion
[ "QuaternionAlgebra.instModule", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "QuaternionAlgebra.imI", "Semiring.toModule", "CommRing.toNonUnitalCommRing", "Ring.toNonAssocRing", "CommSemiring.toSemiring", "QuaternionAlgebra", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "...
true
RestrictedProduct.instT2Space
Mathlib.Topology.Algebra.RestrictedProduct.TopologicalSpace
[ "Pi.t2Space", "RestrictedProduct.continuous_coe", "Pi.topologicalSpace", "T2Space.of_injective_continuous", "RestrictedProduct.topologicalSpace", "RestrictedProduct.instDFunLike", "RestrictedProduct", "TopologicalSpace", "T2Space", "DFunLike.coe_injective", "DFunLike.coe", "Filter", "Set" ]
true
_private.Mathlib.RingTheory.AdicCompletion.Completeness.0.AdicCompletion.pow_smul_top_eq_ker_eval._simp_1_1
Mathlib.RingTheory.AdicCompletion.Completeness
[ "LinearMap.instFunLike", "RingHom", "LinearMap.comp_apply", "RingHomCompTriple", "LinearMap", "AddCommMonoid", "LinearMap.comp", "Semiring", "Module", "Eq.symm", "Semiring.toNonAssocSemiring", "Eq", "DFunLike.coe" ]
false
Nat.Partrec.Code.rfind'.noConfusion
Mathlib.Computability.PartrecCode
[ "Nat.Partrec.Code.rfind'", "Nat.Partrec.Code", "Nat.Partrec.Code.noConfusion", "id", "Eq" ]
false
WellFounded.isWellOrder_iff_exists_not_lt_and_eq_or_gt
Mathlib.Order.WellFounded
[ "IsWellFounded.mk", "_private.Mathlib.Order.WellFounded.0.WellFounded.isWellOrder_iff_exists_not_lt_and_eq_or_gt._proof_1_3", "Std.Trichotomous.mk", "IsWellOrder.mk", "Membership.mem", "Exists", "IsWellOrder", "_private.Mathlib.Order.WellFounded.0.WellFounded.isWellOrder_iff_exists_not_lt_and_eq_or_gt...
true
Pi.instConvexSpaceForall._proof_1
Mathlib.Geometry.Convex.ConvexSpace.Prod
[ "NonAssocSemiring.toAddCommMonoidWithOne", "congrArg", "Convexity.iConvexComb_single", "Convexity.ConvexSpace", "PartialOrder.toPreorder", "IsStrictOrderedRing", "Preorder.toLE", "PartialOrder", "AddCommMonoidWithOne.toAddMonoidWithOne", "NonUnitalNonAssocSemiring.toAddCommMonoid", "AddMonoidWit...
false
_private.Mathlib.Combinatorics.SetFamily.AhlswedeZhang.0.AhlswedeZhang.supSum_singleton._simp_1_1
Mathlib.Combinatorics.SetFamily.AhlswedeZhang
[ "Finset", "PartialOrder.toPreorder", "Preorder.toLE", "HasSubset.Subset", "Finset.partialOrder", "LE.le", "propext", "Finset.instHasSubset", "Finset.le_iff_subset", "Eq" ]
false
UInt64.lt_iff_toBitVec_lt
Init.Data.UInt.Lemmas
[ "UInt64", "Iff.rfl", "instLTUInt64", "BitVec", "instOfNatNat", "Iff", "instLTBitVec", "Nat", "LT.lt", "OfNat.ofNat", "UInt64.toBitVec" ]
true
Lean.Meta.DefEqCacheKey
Lean.Meta.Basic
[ "_private.Lean.Meta.Basic.0.Lean.Meta.DefEqCacheKey.mk" ]
true
Ordinal.nhds_eq_pure
Mathlib.SetTheory.Ordinal.Topology
[ "Pure.pure", "Ordinal.instLinearOrder", "Ordinal.partialOrder", "PartialOrder.toPreorder", "SuccOrder.nhds_eq_pure", "nhds", "Order.IsSuccLimit", "Ordinal.instSuccOrder", "Ordinal.instOrderTopology", "Filter.instPure", "Iff", "Ordinal.instNoMaxOrder", "Eq", "Not", "Filter", "Ordinal", ...
true
IsWeakLowerModularLattice.casesOn
Mathlib.Order.ModularLattice
[ "Lattice", "Preorder.toLT", "Lattice.toSemilatticeSup", "CovBy", "IsWeakLowerModularLattice.rec", "PartialOrder.toPreorder", "SemilatticeInf.toPartialOrder", "SemilatticeSup.toMax", "SemilatticeInf.toMin", "IsWeakLowerModularLattice.mk", "IsWeakLowerModularLattice", "Max.max", "Min.min", "...
false
_private.Lean.Elab.Structure.0.Lean.Elab.Command.Structure.replaceFieldInfo
Lean.Elab.Structure
[ "StateT.instMonadFunctor", "Lean.MessageData", "Lean.MonadError.mk", "_private.Lean.Elab.Structure.0.Lean.Elab.Command.Structure.replaceFieldInfo.match_1", "Lean.instMonadExceptOfExceptionCoreM", "Lean.Elab.Term.instMonadMacroAdapterTermElabM", "_private.Lean.Elab.Structure.0.Lean.Elab.Command.Structure...
true
Module.Finite.kerRepr
Mathlib.RingTheory.Finiteness.Cardinality
[ "Module.Finite.kerRepr._proof_1", "Pi.Function.module", "Submodule", "Semiring.toModule", "Pi.addCommMonoid", "AddCommGroup.toAddCommMonoid", "LinearMap.ker", "LinearMap.instFunLike", "Exists", "AddCommGroup", "Module.Finite.kerRepr._proof_2", "LinearMap", "NonUnitalNonAssocSemiring.toAddCom...
true
TwoP.largeCategory._aux_3
Mathlib.CategoryTheory.Category.TwoP
[ "Quiver.mk", "Quiver.Hom", "TwoP.toBipointed", "CategoryTheory.CategoryStruct.id", "TwoP", "CategoryTheory.InducedCategory", "Bipointed", "CategoryTheory.InducedCategory.Hom.mk", "CategoryTheory.Category.toCategoryStruct", "TwoP.largeCategory._aux_1", "Bipointed.largeCategory" ]
false
_private.Lean.Meta.Tactic.Simp.Main.0.Lean.Meta.Simp.reduceProjFn?.match_5
Lean.Meta.Tactic.Simp.Main
[ "Lean.ProjectionFunctionInfo", "Unit.unit", "Option.casesOn", "Option.some", "Option.none", "Unit", "Option" ]
false
Lean.Lsp.LeanImport.ctorIdx
Lean.Data.Lsp.Extra
[ "Nat", "Lean.Lsp.LeanImport" ]
false
ComplexShape.Embedding.truncLE'Functor._proof_1
Mathlib.Algebra.Homology.Embedding.TruncLE
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.ShortComplex.HasHomology", "HomologicalComplex", "ComplexShape", "HomologicalComplex.sc", "CategoryTheory.CategoryWithHomology.hasHomology", "CategoryTheory.CategoryWithHomology", "CategoryTheory.Category" ]
false
AlgebraicGeometry.Scheme.IdealSheafData.ofIdealTop._proof_7
Mathlib.AlgebraicGeometry.IdealSheaf.Basic
[ "_private.Mathlib.AlgebraicGeometry.IdealSheaf.Basic.0.AlgebraicGeometry.Scheme.IdealSheafData.ofIdealTop._simp_2", "False", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "Lattice.toSemilatticeSup", "CommRingCat.Hom.hom", "Semiring.toModule", "Opposit...
false
_private.Init.Data.Int.Order.0.Int.ofNat_le.match_1_1
Init.Data.Int.Order
[ "Exists", "Int", "Nat.cast", "instHAdd", "Exists.casesOn", "HAdd.hAdd", "Nat", "Exists.intro", "Int.instAdd", "instNatCastInt", "Eq" ]
false
_private.Lean.Compiler.LCNF.SimpleGroundExpr.0.Lean.Compiler.LCNF.SimpleGroundValue.uint8
Lean.Compiler.LCNF.SimpleGroundExpr
[ "_private.Lean.Compiler.LCNF.SimpleGroundExpr.0.Lean.Compiler.LCNF.SimpleGroundValue", "_private.Lean.Compiler.LCNF.SimpleGroundExpr.0.Lean.Compiler.LCNF.SimpleGroundValue.uint8", "UInt8" ]
true
CategoryTheory.HasLiftingProperty.transfiniteComposition.SqStruct.map_f'
Mathlib.CategoryTheory.SmallObject.TransfiniteCompositionLifting
[ "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "LinearOrder", "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "OrderBot", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "Preorder.smallCategory", "B...
true
pow_le_pow_right'
Mathlib.Algebra.Order.Monoid.Unbundled.Pow
[ "Monoid", "MulOne.toOne", "Monoid.toMulOneClass", "Preorder.toLE", "MulLeftMono", "MulOne.toMul", "LE.le", "instLENat", "Monoid.toPow", "pow_right_monotone", "MulOneClass.toMulOne", "HPow.hPow", "Nat", "One.toOfNat1", "instHPow", "OfNat.ofNat", "Preorder" ]
true
_private.Mathlib.Order.Filter.Bases.Basic.0.Filter.HasBasis.forall_iff.match_1_1
Mathlib.Order.Filter.Bases.Basic
[ "Exists", "HasSubset.Subset", "And.casesOn", "And", "Exists.casesOn", "And.intro", "Exists.intro", "Set.instHasSubset", "Set" ]
false
Set.Ici.isAtom_iff
Mathlib.Order.Atoms
[ "Eq.mpr", "Preorder.toLT", "Set.Ici", "congrArg", "Set.ordConnected_Ici", "CovBy", "OrderBot.toBot", "PartialOrder.toPreorder", "setOf", "Preorder.toLE", "Membership.mem", "PartialOrder", "Set.Elem", "id", "Subtype", "Bot.bot", "Subtype.range_coe_subtype", "LE.le", "Set.Ici.order...
true
CategoryTheory.Functor.homEquivOfIsRightKanExtension._proof_3
Mathlib.CategoryTheory.Functor.KanExtension.Basic
[ "CategoryTheory.Functor.liftOfIsRightKanExtension_fac", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.whiskerLeft", "True", "eq_self", "Function.RightInverse"...
false
_private.Mathlib.Tactic.Linarith.NNRealPreprocessor.0.Mathlib.Tactic.Linarith.isNNRealtoReal.match_1
Mathlib.Tactic.Linarith.NNRealPreprocessor
[ "String", "Lean.Expr.const", "Lean.Expr", "Nat.hasNotBit", "Lean.Level", "_private.Mathlib.Tactic.Linarith.NNRealPreprocessor.0.Mathlib.Tactic.Linarith.isNNRealtoReal._sparseCasesOn_1", "Lean.Name.ctorIdx", "dite", "Lean.Name.str", "Lean.Name.anonymous", "_private.Mathlib.Tactic.Linarith.NNRealP...
false
mulRightLinearMap_apply
Mathlib.Data.Matrix.Bilinear
[ "instSMulOfMul", "HMul.hMul", "Matrix.module", "DistribMulAction.toDistribSMul", "Matrix", "IsScalarTower", "Matrix.instHMulOfFintypeOfMulOfAddCommMonoid", "AddMonoid.toAddZeroClass", "LinearMap.instFunLike", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "Matrix.addCommMonoid", "L...
true
CategoryTheory.CostructuredArrow.toStructuredArrow_obj
Mathlib.CategoryTheory.Comma.StructuredArrow.Basic
[ "CategoryTheory.Functor.op", "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom.op", "CategoryTheory.CostructuredArrow.hom", "CategoryTheory.CostructuredArrow", "CategoryTheory.instCategoryCostructuredArrow_1", "Opposite.op", "CategoryTheory.StructuredArrow...
true
_private.Mathlib.CategoryTheory.Limits.Shapes.Reflexive.0.CategoryTheory.Limits.WalkingParallelPair.inclusionWalkingReflexivePair.match_1.splitter
Mathlib.CategoryTheory.Limits.Shapes.Reflexive
[ "CategoryTheory.Limits.WalkingParallelPair.inclusionWalkingReflexivePair.match_1", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.Limits.WalkingParallelPair.one", "Unit", "CategoryTheory.Limits.WalkingParallelPair.zero" ]
true
_private.Init.Data.Nat.Div.Basic.0.Nat.mod.match_1.splitter
Init.Data.Nat.Div.Basic
[ "instOfNatNat", "Nat", "OfNat.ofNat", "Nat.succ", "Nat.casesOn" ]
true
Std.DTreeMap.Internal.Impl.Const.getEntryLT?.go.eq_def
Std.Data.DTreeMap.Internal.Model
[ "Eq.mpr", "Ord", "congrArg", "Std.DTreeMap.Internal.Impl.rec", "Std.DTreeMap.Internal.Impl.Const.get?.match_1", "Option.some", "Ordering", "Std.DTreeMap.Internal.Impl.inner", "id", "Prod.mk", "Ord.compare", "Std.DTreeMap.Internal.Impl.brecOn.go", "Unit", "PProd", "Std.DTreeMap.Internal.I...
true
Lean.Doc.Parser.UnorderedListType.ofNat
Lean.DocString.Parser
[ "cond", "Nat.ble", "Lean.Doc.Parser.UnorderedListType.plus", "Lean.Doc.Parser.UnorderedListType.asterisk", "Nat", "Lean.Doc.Parser.UnorderedListType", "Lean.Doc.Parser.UnorderedListType.dash" ]
true
LinearMap.toMatrixOrthonormal._proof_3
Mathlib.Analysis.InnerProductSpace.Adjoint
[ "InnerProductSpace.toNormedSpace", "Function.LeftInverse", "Semiring.toModule", "Matrix.module", "CommSemiring.toSemiring", "LinearMap.toMatrixOrthonormal._proof_1", "AddCommGroup.toAddCommMonoid", "Matrix", "NormedSpace.toModule", "LinearMap.toMatrixOrthonormal._proof_2", "LinearEquiv.left_inv"...
false
List.suffix_iff_eq_drop
Init.Data.List.Nat.Sublist
[ "List.drop_suffix", "List.suffix_iff_eq_append", "HSub.hSub", "List.take_append_drop", "Eq.rec", "instSubNat", "List.append_cancel_left", "instHAppendOfAppend", "List", "Iff", "instHSub", "List.drop", "Nat", "Iff.intro", "List.IsSuffix", "Iff.mp", "List.instAppend", "Eq.symm", "E...
true
Set.sUnion_powerset_gc
Mathlib.Data.Set.Lattice
[ "PartialOrder.toPreorder", "Set.sUnion", "Set.powerset", "CompleteLattice.toCompleteSemilatticeInf", "CompleteSemilatticeInf.toPartialOrder", "gc_sSup_Iic", "CompleteBooleanAlgebra.toCompleteLattice", "CompleteLattice.toCompleteSemilatticeSup", "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra"...
true
String.Slice.Pattern.ToBackwardSearcher.DefaultBackwardSearcher.mk._flat_ctor
Init.Data.String.Pattern.Basic
[ "String.Slice", "String.Slice.Pos", "String.Slice.Pattern.ToBackwardSearcher.DefaultBackwardSearcher", "String.Slice.Pattern.ToBackwardSearcher.DefaultBackwardSearcher.mk" ]
false
LinearMap.addMonoid._proof_1
Mathlib.Algebra.Module.LinearMap.Defs
[ "AddMonoid.toAddSemigroup", "Function.Injective.addSemigroup._proof_2", "LinearMap.instFunLike", "RingHom", "LinearMap.instAdd", "LinearMap", "AddCommMonoid", "instHAdd", "HAdd.hAdd", "DFunLike.coe_injective", "Semiring", "AddCommMonoid.toAddMonoid", "Pi.addMonoid", "Module", "Semiring.t...
false
CategoryTheory.FreeGroupoid.liftNatIso.eq_1
Mathlib.CategoryTheory.Groupoid.FreeGroupoidOfCategory
[ "CategoryTheory.FreeGroupoid", "CategoryTheory.MorphismProperty", "CategoryTheory.Localization.liftNatIso", "CategoryTheory.Functor", "CategoryTheory.Localization.Lifting.compLeft", "CategoryTheory.MorphismProperty.instCompleteBooleanAlgebra", "CategoryTheory.FreeGroupoid.liftNatIso", "CategoryTheory....
true
CategoryTheory.SingleFunctors.Hom.ext_iff
Mathlib.CategoryTheory.Shift.SingleFunctors
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HEq.refl", "CategoryTheory.Functor.category", "Eq.casesOn", "CategoryTheory.SingleFunctors.functor", "CategoryTheory.SingleFunctors.Hom.hom", "Iff", "Iff.intro", "AddMonoid", "Eq.ndrec", "Eq.refl", "HEq", ...
true
Homotopy.compRight._proof_2
Mathlib.Algebra.Homology.Homotopy
[ "Eq.mpr", "HomologicalComplex.instCategory", "HomologicalComplex.Hom.f", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "AddCommGroup.toAddGroup", "Homotopy.hom", "HomologicalComplex", "AddZeroClass.toAddZero", ...
false
Lean.Elab.Info
Lean.Elab.InfoTree.Types
[ "Lean.Elab.Info.ofOptionInfo", "Lean.Elab.Info.ofTacticInfo", "Lean.Elab.Info.ofTermInfo", "Lean.Elab.Info.ofFieldInfo", "Lean.Elab.Info.ofUserWidgetInfo", "Lean.Elab.Info.ofDocInfo", "Lean.Elab.Info.ofDocElabInfo", "Lean.Elab.Info.ofDelabTermInfo", "Lean.Elab.Info.ofCompletionInfo", "Lean.Elab.In...
true
StrictConvexOn.add_convexOn
Mathlib.Analysis.Convex.Function
[ "IsRightCancelAdd.addRightStrictMono_of_addRightMono", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "instHSMul", "Trans.trans", "Preorder.toLT", "congrArg", "DistribMulAction.toDistribSMul", "SMul", "covariant_swap_add_of_covariant_add", "AddMonoid.toAddZeroClass", "IsCancelAdd.toIsLef...
true
CategoryTheory.StructuredArrow.subobjectEquiv._proof_6
Mathlib.CategoryTheory.Subobject.Comma
[ "CategoryTheory.Subobject.arrow", "CategoryTheory.Functor", "Exists.choose_spec", "CategoryTheory.Subobject.underlying", "CategoryTheory.Limits.PreservesFiniteLimits", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.HasFiniteLimits", "PartialOrder.toPreorder", "Exist...
false
DiscreteTiling.PlacedTile.coe_smul
Mathlib.Combinatorics.Tiling.Tile
[ "instHSMul", "DiscreteTiling.Protoset.tiles", "Subgroup.map", "congrArg", "QuotientGroup.mk", "Subgroup.subtype", "Group", "DiscreteTiling.PlacedTile.mk", "Membership.mem", "Subtype", "DivInvMonoid.toMonoid", "Subgroup", "DiscreteTiling.PlacedTile.instSMul", "DiscreteTiling.Protoset", "D...
true
Lean.Elab.Tactic.Omega.MetaProblem.mk
Lean.Elab.Tactic.Omega.Frontend
[ "Lean.Expr.instBEq", "Lean.Elab.Tactic.Omega.Problem", "Std.HashSet", "Lean.Expr", "Lean.Elab.Tactic.Omega.MetaProblem.mk", "List", "Lean.Expr.instHashable", "Lean.Elab.Tactic.Omega.MetaProblem" ]
true
AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.pullbackToBaseIsOpenImmersion
Mathlib.Geometry.RingedSpace.OpenImmersion
[ "CategoryTheory.Limits.limit.π", "Eq.mpr", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Limits.WalkingCospan.Hom.inl", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.pullbackFstOfRight", "CategoryTheory.Limits.WidePullbackShape.category", "inferInstance", ...
true
WithBot.coe_le_iff
Mathlib.Order.WithBot
[ "WithBot.some", "WithBot", "congrArg", "_private.Mathlib.Order.WithBot.0.WithBot.coe_le_iff._simp_1_1", "Exists", "LE.le", "LE", "forall_eq'._simp_1", "iff_self", "And", "Iff", "implies_congr", "True", "of_eq_true", "Eq.refl", "congrFun'", "WithBot.coe_inj._simp_2", "Eq", "WithBo...
true
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.getD_alter._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
BoundedOrderHom.cancel_right
Mathlib.Order.Hom.Bounded
[ "Iff.mpr", "Function.Surjective.forall", "BoundedOrderHom", "Preorder.toLE", "DFunLike.ext_iff", "congr_arg", "BoundedOrderHom.instFunLike", "Iff", "BoundedOrderHom.ext", "Iff.intro", "Iff.mp", "BoundedOrder", "BoundedOrderHom.comp", "Eq", "DFunLike.coe", "Function.Surjective", "Preo...
true
smul_mem_fixedPoints_of_normal
Mathlib.GroupTheory.GroupAction.SubMulAction
[ "Eq.mpr", "DivInvMonoid.toInv", "instHSMul", "inv_smul_eq_iff", "HMul.hMul", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "congrArg", "Group", "Group.toDivisionMonoid", "Membership.mem", "DivisionMonoid.toDivInvOneMonoid", "Subgroup.instMulAction", "smul_smul", "id", "MulOn...
true
Lean.Elab.Info.ofErrorNameInfo.noConfusion
Lean.Elab.InfoTree.Types
[ "Lean.Elab.Info.noConfusion", "id", "Lean.Elab.ErrorNameInfo", "Lean.Elab.Info.ofErrorNameInfo", "Lean.Elab.Info", "Eq" ]
false
WithBot.bot_wcovBy_coe._simp_1
Mathlib.Order.Cover
[ "WithBot.instPreorder", "WithBot.some", "WithBot", "Preorder.toLE", "Bot.bot", "WCovBy", "propext", "Eq", "IsMin", "WithBot.bot", "Preorder", "WithBot.bot_wcovBy_coe" ]
false
CategoryTheory.MorphismProperty.Comma.mapLeftComp
Mathlib.CategoryTheory.MorphismProperty.Comma
[ "CategoryTheory.MorphismProperty", "CategoryTheory.Functor", "CategoryTheory.Comma.right", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MorphismProperty.Comma.instCategory", "CategoryTheory.Functor.category", "CategoryTheory.Comma.left", "CategoryTheory.Functor.comp", "C...
true
Std.DHashMap.Internal.Raw₀.Const.wf_insertManyIfNewUnit₀
Std.Data.DHashMap.Internal.WF
[ "Std.DHashMap.Raw.WF", "Std.DHashMap.Raw", "instOfNatNat", "Id", "LawfulHashable", "Subtype.mk", "Unit", "EquivBEq", "Std.DHashMap.Internal.Raw₀.Const.insertManyIfNewUnit", "ForIn", "Nat", "Std.DHashMap.Raw.buckets", "LT.lt", "Std.DHashMap.Internal.Raw₀.insertIfNew", "Std.DHashMap.Intern...
true
Num.Prime
Mathlib.Data.Num.Prime
[ "Nat.instMulZeroClass", "Nat.Prime", "Nat.instOne", "castNum", "Num", "Nat", "instAddNat", "MulZeroClass.toZero" ]
true
PresheafOfModules.Monoidal.tensorObj_map_tmul
Mathlib.Algebra.Category.ModuleCat.Presheaf.Monoidal
[ "PresheafOfModules.map", "CategoryTheory.Functor", "CommRingCat.Hom.hom", "Opposite", "CommRingCat.carrier", "Quiver.opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "PresheafOfModules.Monoidal.tensorObj", "ModuleCat", "CommSemiring.toSemiring", "CategoryTheory.ConcreteCatego...
true
Cycle.prev
Mathlib.Data.List.Cycle
[ "List.IsRotated.setoid", "Cycle.prev._proof_1", "Membership.mem", "List", "List.prev", "Cycle.instMembership", "Cycle.Nodup", "Cycle", "Quot.hrecOn", "Setoid.r", "Quot.mk", "DecidableEq" ]
true
Matrix.kroneckerMap_transpose
Mathlib.LinearAlgebra.Matrix.Kronecker
[ "Matrix", "Matrix.transpose", "Matrix.kroneckerMap", "Prod", "Eq", "Matrix.ext", "rfl" ]
true