name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
ExceptT.bindCont.match_1
Init.Control.Except
[ "Except.ok", "Except.error", "Except.casesOn", "Except" ]
false
AlgebraicGeometry.instSurjectiveOfGeometricallyIntegral
Mathlib.AlgebraicGeometry.Geometrically.Integral
[ "AlgebraicGeometry.Scheme.Hom.range_fiberι", "AlgebraicGeometry.instIsIntegralFiberOfGeometricallyIntegral", "AlgebraicGeometry.Scheme", "ChainCompletePartialOrder.instOfCompleteLattice", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheo...
true
CategoryTheory.FunctorToTypes.binaryProductEquiv._proof_2
Mathlib.CategoryTheory.Limits.Shapes.FunctorToTypes
[ "CategoryTheory.FunctorToTypes.binaryProductIso._proof_1", "CategoryTheory.Functor.flip", "CategoryTheory.Functor", "congrArg", "CategoryTheory.ConcreteCategory.hom", "CategoryTheory.Functor.category", "TypeCat.instFunLikeFun", "CategoryTheory.Iso.hom_inv_id_app_apply", "UnivLE.small", "Prod.mk", ...
false
AddOpposite.opUniformEquivLeft._proof_1
Mathlib.Topology.Algebra.IsUniformGroup.Basic
[ "UniformContinuous", "UniformSpace", "instReflLe", "congrArg", "Std.le_refl", "PartialOrder.toPreorder", "Preorder.toLE", "AddOpposite", "AddOpposite.instTopologicalSpaceAddOpposite", "LE.le", "TopologicalSpace", "instIsTopologicalAddGroupAddOpposite", "AddGroup", "AddOpposite.instAddGroup...
false
Lean.ModuleSetup.mk
Lean.Setup
[ "Lean.ModuleSetup.mk", "Lean.NameMap", "Lean.PkgId", "Lean.Import", "Array", "Bool", "Lean.Name", "Lean.ImportArtifacts", "Lean.ModuleSetup", "System.FilePath", "Lean.LeanOptions", "Option" ]
true
CategoryTheory.Pseudofunctor.ObjectProperty.map_map_hom
Mathlib.CategoryTheory.Bicategory.Functor.Cat.ObjectProperty
[ "CategoryTheory.ObjectProperty.FullSubcategory.mk", "CategoryTheory.Pseudofunctor.ObjectProperty.prop", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ObjectProperty.ι", "CategoryTheory.Pseudofunctor.ObjectProperty.IsClosedUnderMapObj", "CategoryTheory.Functor.comp", "Category...
true
ContinuousMap.comp.eq_1
Mathlib.Condensed.TopComparison
[ "ContinuousMap.comp._proof_1", "ContinuousMap.mk", "ContinuousMap", "ContinuousMap.comp", "Function.comp", "TopologicalSpace", "Eq.refl", "Eq", "ContinuousMap.instFunLike", "DFunLike.coe" ]
true
LLVM.instNonemptyModule
Lean.Compiler.IR.LLVMBindings
[ "Inhabited.default", "_private.Lean.Compiler.IR.LLVMBindings.0.LLVM.Module.mk", "Nonempty.intro", "LLVM.Module", "Nonempty", "instInhabitedUSize", "USize", "LLVM.Context" ]
true
Lean.Parser.parserAliases2infoRef
Lean.Parser.Extension
[ "Lean.NameMap", "Classical.ofNonempty", "_private.Lean.Parser.Extension.0.Lean.Parser.parserAliases2infoRef._proof_1", "Lean.Parser.ParserAliasInfo", "IO.Ref" ]
true
FirstOrder.Language.Substructure.mem_comap
Mathlib.ModelTheory.Substructures
[ "Iff.rfl", "Membership.mem", "FirstOrder.Language.Substructure.instSetLike", "FirstOrder.Language.Hom", "FirstOrder.Language.Substructure", "FirstOrder.Language.Structure", "Iff", "FirstOrder.Language", "DFunLike.coe", "SetLike.instMembership", "FirstOrder.Language.Substructure.comap", "FirstO...
true
CategoryTheory.Presieve.BindStruct.hf
Mathlib.CategoryTheory.Sites.Sieves
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Presieve", "CategoryTheory.Presieve.BindStruct.Y", "CategoryTheory.Presieve.BindStruct.f", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Presieve.BindStruct", "CategoryTheory.Category" ]
true
_private.Aesop.Frontend.Command.0.Aesop.Frontend.Parser.evalStatsReport?.match_4
Aesop.Frontend.Command
[ "DoResultPR", "Aesop.StatsReport", "DoResultPR.return", "PUnit", "DoResultPR.casesOn", "DoResultPR.pure", "Option" ]
false
EuclideanGeometry.sin_oangle_right_mul_dist_of_oangle_eq_pi_div_two
Mathlib.Geometry.Euclidean.Angle.Oriented.RightAngle
[ "EuclideanGeometry.oangle", "Eq.mpr", "InnerProductSpace.toNormedSpace", "Real.partialOrder", "Real", "instHDiv", "Real.pi", "HMul.hMul", "Real.Angle", "Real.Angle.coe", "EuclideanGeometry.oangle_rotate_sign", "Module.Oriented", "Real.instRCLike", "SignType.instOne", "congrArg", "AddCo...
true
Algebra.Generators.compLocalizationAwayAlgHom_relation_eq_zero
Mathlib.RingTheory.Extension.Cotangent.LocalizationAway
[ "Algebra.Generators.ker", "OreLocalization.instAddGroupOreLocalization", "Finsupp.instAddZeroClass", "Ideal.Quotient.commSemiring", "Eq.mpr", "Unit.unit", "NonAssocSemiring.toAddCommMonoidWithOne", "Submodule.Quotient.instZeroQuotient", "Submodule.Quotient.addCommMonoid", "Nat.instMulZeroClass", ...
true
SSet.coskAdj
Mathlib.AlgebraicTopology.SimplicialSet.Basic
[ "SSet.Truncated.cosk._proof_1", "Opposite", "CategoryTheory.SimplicialObject.coskAdj", "CategoryTheory.Functor.category", "SSet.Truncated", "SSet.truncation", "SSet", "LE.le", "instLENat", "SSet.Truncated.cosk", "Nat", "CategoryTheory.types", "SimplexCategory", "CategoryTheory.Category.opp...
true
CochainComplex.mappingCone.d_fst_v'
Mathlib.Algebra.Homology.HomotopyCategory.MappingCone
[ "NegZeroClass.toNeg", "HomologicalComplex.instCategory", "CochainComplex.HomComplex.instAddCommGroupCochain", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "_private.Mathlib.Algebra.Homology.HomotopyCategory.MappingCone.0.CochainComplex.mappingCone.d_fst_v'._proof_1", "AddGroupWithOne.toAddMon...
true
enorm_ne_zero
Mathlib.Analysis.Normed.Group.Basic
[ "ENormedAddMonoid", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "Ne", "ESeminormedAddMonoid.toAddMonoid", "ENormedAddMonoid.toESeminormedAddMonoid", "TopologicalSpace", "AddZero.toZero", "ESeminormedAddMonoid.toContinuousENorm", "ENorm.enorm", "Iff", "ContinuousENorm.toENorm", "ENN...
true
CategoryTheory.AddGrp.Hom.hom_add
Mathlib.CategoryTheory.Monoidal.Cartesian.Grp
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Hom.addMonoid", "AddMonoid.toAddZeroClass", "CategoryTheory.AddGrp", "CategoryTheory.AddMon.instCategory", "AddZeroClass.toAddZero", "CategoryTheory.AddGrp.instCartesianMonoidalCategory", "CategoryTheory.AddGrp.toAddMon", "Cat...
true
SSet.PtSimplex.MulStruct.mk._flat_ctor
Mathlib.AlgebraicTopology.SimplicialSet.KanComplex.MulStruct
[ "SSet.Subcomplex.toSSet", "SSet.Subcomplex.ofSimplex", "SSet.const", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "SSet.PtSimplex.MulStruct", "Quiver.Hom", "Fin.succ", "SSet.PtSimplex.MulStruct.mk", "CategoryTheory.Functor.category", "CategoryTheory.CosimplicialObject.δ", "Membership....
false
_private.Lean.Meta.Sym.Simp.DiscrTree.0.Lean.Meta.Sym.pushArgsTodo._unsafe_rec
Lean.Meta.Sym.Simp.DiscrTree
[ "_private.Lean.Meta.Sym.Simp.DiscrTree.0.Lean.Meta.Sym.pushArgsTodo._unsafe_rec", "Array.push", "Lean.Expr", "Array", "Lean.Name", "_private.Lean.Meta.Sym.Simp.DiscrTree.0.Lean.Meta.Sym.pushArgsTodo.match_1", "Lean.BinderInfo" ]
false
ENNReal.coe_iInf._simp_1
Mathlib.Data.ENNReal.Basic
[ "ENNReal.ofNNReal", "iInf", "NNReal", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", "NNReal.instConditionallyCompleteLinearOrderBot", "CompleteLinearOrder.toConditionallyCompleteLinearOrderBot", "ENNReal", "ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder", ...
false
_private.Mathlib.Algebra.Ring.Divisibility.Lemmas.0.dvd_smul_of_dvd.match_1_1
Mathlib.Algebra.Ring.Divisibility.Lemmas
[ "Semigroup", "Semigroup.toMul", "Dvd.dvd", "HMul.hMul", "semigroupDvd", "Exists.casesOn", "Exists.intro", "Eq", "instHMul" ]
false
_private.Mathlib.Analysis.PSeries.0.summable_schlomilch_iff_of_nonneg._simp_1_1
Mathlib.Analysis.PSeries
[ "Real.instLE", "Real", "PartialOrder.toPreorder", "Preorder.toLE", "NNReal", "LE.le", "NNReal.instPartialOrder", "propext", "Eq", "NNReal.toReal", "NNReal.coe_le_coe" ]
false
KaehlerDifferential.quotKerTotalEquiv._proof_2
Mathlib.RingTheory.Kaehler.Basic
[ "Derivation", "Derivation.liftKaehlerDifferential", "Eq.mpr", "Submodule", "Submodule.Quotient.addCommMonoid", "CommRing", "Algebra.to_smulCommClass", "Eq.ge", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "instSMulOfMul", "Finsupp.module", "IsScalarTower.right", "C...
false
Filter.lift_principal2
Mathlib.Order.Filter.Lift
[ "Filter.instMembership", "iInf", "Filter.mem_principal_self", "Filter.instInfSet", "Filter.instCompleteLatticeFilter", "PartialOrder.toPreorder", "le_iInf", "Preorder.toLE", "Membership.mem", "LE.le", "Filter.mem_lift", "le_antisymm", "Filter.lift", "_private.Mathlib.Order.Filter.Lift.0.Fi...
true
Commute.pow_pow_self
Mathlib.Algebra.Group.Commute.Defs
[ "Monoid", "Monoid.toMulOneClass", "Commute.pow_pow", "Commute", "MulOne.toMul", "Monoid.toPow", "MulOneClass.toMulOne", "Commute.refl", "HPow.hPow", "Nat", "instHPow" ]
true
Lean.Lsp.Registration.noConfusionType
Lean.Data.Lsp.Client
[ "Lean.Json", "String", "Lean.Lsp.Registration", "Lean.Lsp.Registration.casesOn", "Eq", "Option" ]
false
Int.natAbs_eq_iff
Init.Data.Int.Order
[ "Eq.mpr", "Int.natAbs_eq_natAbs_iff", "congrArg", "Iff.rfl", "id", "Int.instNegInt", "Int", "Nat.cast", "Iff", "Nat", "Int.natAbs", "propext", "Or", "instNatCastInt", "Int.natAbs_natCast", "Eq.symm", "Eq", "Neg.neg" ]
true
MeasureTheory.L1.setToL1'.congr_simp
Mathlib.MeasureTheory.Integral.SetToL1
[ "NormedCommRing.toSeminormedCommRing", "Real", "instHSMul", "MeasureTheory.Measure", "CompleteSpace", "NormedRing.toRing", "NormedSpace", "Real.denselyNormedField", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "ContinuousLinearMap.funLike", "MeasureTheory.Lp.instModule", ...
true
MeasureTheory.lpTrimToLpMeasSubgroup._proof_1
Mathlib.MeasureTheory.Function.ConditionalExpectation.AEMeasurable
[ "MeasureTheory.Measure", "MeasurableSpace.instLE", "MeasureTheory.Lp.memLp", "MeasureTheory.lpMeasSubgroup._proof_1", "MeasureTheory.AEEqFun.cast", "MeasureTheory.Measure.trim", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "Membership.mem", "SeminormedAddGroup.toContinuousENorm",...
false
RootPairing.Base.cartanMatrixIn_mul_diagonal_eq
Mathlib.LinearAlgebra.RootSystem.CartanMatrix
[ "Matrix.smul", "RootPairing.Base.algebraMap_cartanMatrixIn_apply", "RootPairing.pairing", "CommRing", "Algebra.to_smulCommClass", "instHSMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "instSMulOfMul", "HMul.hMul", "CommRing.toNonUnitalCommRing", "Matrix.module", ...
true
_private.Mathlib.Tactic.Ring.Basic.0.Mathlib.Tactic.Ring.ExBase.evalIntCast.match_1
Mathlib.Tactic.Ring.Basic
[ "Qq.QuotedDefEq", "Lean.Expr.const", "Subtype.casesOn", "Subtype", "Prod.mk", "Lean.Expr.sort", "Lean.Level", "List.cons", "Subtype.mk", "Qq.Quoted", "Nat", "Qq.Quoted.unsafeMk", "Lean.Name.mkStr2", "Lean.Expr.app", "Lean.Level.succ", "Prod", "Prod.casesOn", "Lean.Name.mkStr1", "...
false
Set.Ioi_disjoint_Iio_iff._simp_2
Mathlib.Order.Interval.Set.Disjoint
[ "Set.Ioi", "Preorder.toLT", "CompleteBooleanAlgebra.toCompleteDistribLattice", "Disjoint", "Set.Ioi_disjoint_Iio_iff", "CompleteLattice.toCompleteSemilatticeInf", "CompleteSemilatticeInf.toPartialOrder", "LT.lt", "propext", "CompleteDistribLattice.toFrame", "CompleteBooleanAlgebra.toCompleteLatt...
false
Std.Iterators.Types.FilterMap.ctorIdx
Init.Data.Iterators.Combinators.Monadic.FilterMap
[ "Std.Iterators.Types.FilterMap", "Nat", "Std.Iterators.PostconditionT", "Option" ]
false
Nat.log2_eq_succ_log2_shiftRight
Mathlib.Data.Nat.BinaryRec
[ "Iff.mpr", "instPowNat", "False", "instHDiv", "HMul.hMul", "of_decide_eq_true", "id", "HDiv.hDiv", "Ne", "instMulNat", "instOfNatNat", "LE.le", "instLENat", "Nat.div_lt_iff_lt_mul", "instHShiftRightOfShiftRight", "Nat.log2_self_le", "instNatPowNat", "Bool.true", "instHAdd", "An...
true
_private.Mathlib.AlgebraicTopology.ExtraDegeneracy.0.CategoryTheory.SimplicialObject.Augmented.ExtraDegeneracy.homotopy._proof_8
Mathlib.AlgebraicTopology.ExtraDegeneracy
[ "Int.Linear.eq_of_core", "Int.Linear.not_eq_norm_expr", "Lean.Grind.CommRing.le_norm_expr", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "False", "HMul.hMul", "Lean.Grind.CommRing.Expr.mul", "of_decide_eq_true", "Int.Linear.norm_le", "Fin.succ", "Lean.Grind.CommRing.Expr.var", "Int.L...
false
CategoryTheory.Abelian.Ext.covariant_sequence_exact₃'
Mathlib.Algebra.Homology.DerivedCategory.Ext.ExactSequences
[ "Function.Exact", "CategoryTheory.Abelian.toPreadditive", "AddEquivClass.instAddMonoidHomClass", "Eq.mpr", "instCategoryDerivedCategory", "CategoryTheory.Functor", "DerivedCategory.instHasZeroObject", "DerivedCategory", "Opposite", "AddCommGrpCat.instCategory", "AddMonoidHomClass.toAddMonoidHom"...
true
Bimod.RightUnitorBimod.hom_right_act_hom'
Mathlib.CategoryTheory.Monoidal.Bimod
[ "Bimod.TensorBimod.actRight._proof_4", "CategoryTheory.Limits.PreservesColimitsOfShape.preservesColimit", "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.Limits.PreservesColimitsOfSize", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "CategoryTheory.Limits.hasColimitOfHasColimitsOfShape...
true
_private.Std.Data.Internal.List.Associative.0.Std.Internal.List.getValueCast?_filter_not_contains_of_contains_right._simp_1_1
Std.Data.Internal.List.Associative
[ "ite_eq_left_iff", "Decidable", "propext", "Eq", "Not", "ite" ]
false
Filter.instDistribNeg._proof_2
Mathlib.Order.Filter.Pointwise
[ "Filter.map_map₂_right_comm", "HMul.hMul", "Filter.map", "Mul", "HasDistribNeg", "Filter.map₂", "HasDistribNeg.toInvolutiveNeg", "InvolutiveNeg.toNeg", "Eq", "Filter", "Neg.neg", "mul_neg", "instHMul" ]
false
CategoryTheory.LaxBraidedFunctor.hom_ext_iff
Mathlib.CategoryTheory.Monoidal.Braided.Basic
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HEq.refl", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.LaxBraidedFunctor.hom_ext", "CategoryTheory.LaxBraidedFunctor.instCategory", "CategoryTheory.LaxMonoidalFunctor.Hom.hom"...
true
CategoryTheory.ShortComplex.RightHomologyMapData.compatibilityOfZerosOfIsColimitCokernelCofork._proof_1
Mathlib.Algebra.Homology.ShortComplex.RightHomology
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.ShortComplex.RightHomologyData.ofZeros", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.Limits.CokernelCofork", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.X₁...
false
Std.Internal.IsStrictCut.toIsCut
Std.Data.Internal.Cut
[ "Std.Internal.IsStrictCut", "Ordering", "Std.Internal.IsCut" ]
true
WellFoundedGT.toIsSuccArchimedean
Mathlib.Order.SuccPred.Archimedean
[ "IsSuccArchimedean.mk", "Preorder.toLT", "WellFoundedGT", "PartialOrder.toPreorder", "IsPredArchimedean.exists_pred_iterate_of_le", "WellFoundedLT.toIsPredArchimedean", "inferInstance", "PartialOrder", "instPredOrderOrderDualOfSuccOrder", "instWellFoundedLTOrderDualOfWellFoundedGT", "IsPredArchi...
true
AlgebraicGeometry.Scheme.IdealSheafData.support_bot
Mathlib.AlgebraicGeometry.IdealSheaf.Basic
[ "AlgebraicGeometry.Scheme.IdealSheafData.support", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "Lattice.toSemilatticeSup", "AlgebraicGeometry.PresheafedSpace.carrier", "AlgebraicGeometry.Scheme.IdealSheafData.instOrderBot", "CommRingCat", "OrderBot....
true
Std.ExtHashMap.getElem!_union_of_not_mem_left
Std.Data.ExtHashMap.Lemmas
[ "Std.ExtHashMap.inner", "Membership.mem", "LawfulHashable", "Std.ExtHashMap", "EquivBEq", "Std.ExtDHashMap.Const.get!_union_of_not_mem_left", "Inhabited", "Hashable", "Std.ExtHashMap.instUnionOfEquivBEqOfLawfulHashable", "Union.union", "Std.ExtHashMap.instGetElem?Mem", "Std.ExtHashMap.instMemb...
true
ContDiffMapSupportedIn.iteratedFDerivLM_eq_of_scalars
Mathlib.Analysis.Distribution.ContDiffMapSupportedIn
[ "NormedCommRing.toSeminormedCommRing", "Real", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "NormedSpace", "Real.denselyNormedField", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "IsBo...
true
AddMonoidHom.le_map_tsub
Mathlib.Algebra.Order.Sub.Unbundled.Hom
[ "AddMonoidHom.toAddHom", "AddMonoid.toAddZeroClass", "Monotone", "HSub.hSub", "Preorder.toLE", "AddZeroClass.toAddZero", "OrderedSub", "LE.le", "AddCommMonoid", "AddZeroClass", "instHSub", "AddZero.toAdd", "AddCommMonoid.toAddMonoid", "AddHom.le_map_tsub", "AddCommSemigroup.toAddCommMagm...
true
AddSubgroup.finiteIndex_iInf'
Mathlib.GroupTheory.Index
[ "Eq.mpr", "AddSubgroup.instCompleteLattice", "iInf", "AddSubgroup.FiniteIndex", "congrArg", "_private.Mathlib.GroupTheory.Index.0.AddSubgroup.finiteIndex_iInf'.match_1_1", "AddSubgroup.instInfSet", "Finset", "Membership.mem", "id", "Subtype", "iInf_subtype'", "Finite.of_fintype", "AddSubgr...
true
Finset.card_mul_singleton
Mathlib.Algebra.Group.Pointwise.Finset.Basic
[ "HMul.hMul", "Finset", "Mul", "Finset.card_image₂_singleton_right", "Finset.mul", "Nat", "mul_left_injective", "Finset.card", "Finset.instSingleton", "Singleton.singleton", "Eq", "IsRightCancelMul", "instHMul", "DecidableEq" ]
true
Affine.Triangle.sbtw_touchpoint_empty
Mathlib.Geometry.Euclidean.Incenter
[ "Real.instIsOrderedRing", "Eq.mpr", "InnerProductSpace.toNormedSpace", "instDecidableNot", "Affine.Simplex.points", "Real.partialOrder", "Real", "Affine.Simplex.interior", "of_decide_eq_true", "outParam", "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors", "Real.instRCLike", "congrArg", "Ad...
true
_private.Lean.Meta.Tactic.Grind.Arith.Linear.Reify.0.Lean.Meta.Grind.Arith.Linear.assertNatCastNonneg
Lean.Meta.Tactic.Grind.Arith.Linear.Reify
[ "Lean.Meta.Grind.GrindM", "Lean.Meta.Grind.addNewRawFact", "Lean.Meta.Grind.Arith.Linear.Struct.type", "Lean.Meta.Grind.Arith.Linear.Struct.u", "Lean.Meta.Grind.Arith.Linear.instMonadGetStructLinearM", "Lean.mkApp8", "Lean.Meta.Grind.Goal", "Lean.Meta.Grind.Arith.Linear.Struct.orderedRingInst?", "Le...
true
_private.Mathlib.Analysis.SpecialFunctions.Trigonometric.Cotangent.0.tendsto_euler_sin_prod'._simp_1_6
Mathlib.Analysis.SpecialFunctions.Trigonometric.Cotangent
[ "GroupWithZero.toMonoidWithZero", "False", "GroupWithZero.toDivInvMonoid", "eq_false", "GroupWithZero", "DivInvMonoid.toZPow", "Ne", "Int", "MonoidWithZero.toMulZeroOneClass", "HPow.hPow", "Zero.toOfNat0", "zpow_ne_zero", "instHPow", "MulZeroOneClass.toMulZeroClass", "OfNat.ofNat", "Eq...
false
CategoryTheory.PreZeroHypercover.isLimitSigmaOfIsColimitEquiv._proof_7
Mathlib.CategoryTheory.Sites.CoproductSheafCondition
[ "CategoryTheory.Limits.pullback", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.PreZeroHypercover.f", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.Cofan", "congrArg", "CategoryTheory.PreOneHypercover.I₁", "Categ...
false
_private.Mathlib.Algebra.Order.Star.Pi.0.Pi.instStarOrderedRing.match_6
Mathlib.Algebra.Order.Star.Pi
[ "HMul.hMul", "Exists", "NonUnitalSemiring.toNonUnitalNonAssocSemiring", "StarAddMonoid.toInvolutiveStar", "NonUnitalNonAssocSemiring.toAddCommMonoid", "StarRing.toStarAddMonoid", "Exists.casesOn", "Distrib.toMul", "NonUnitalSemiring", "StarRing", "Exists.intro", "NonUnitalNonAssocSemiring.toDi...
false
_private.Mathlib.LinearAlgebra.RootSystem.Finite.G2.0.RootPairing.zero_le_pairingIn_of_root_sub_mem._simp_1_1
Mathlib.LinearAlgebra.RootSystem.Finite.G2
[ "AddMonoid.toAddZeroClass", "sub_eq_add_neg", "HSub.hSub", "SubNegMonoid", "AddZeroClass.toAddZero", "SubNegMonoid.toSub", "instHAdd", "instHSub", "HAdd.hAdd", "SubNegMonoid.toNeg", "AddZero.toAdd", "SubNegMonoid.toAddMonoid", "Eq.symm", "Eq", "Neg.neg" ]
false
TendstoUniformlyOn.div
Mathlib.Topology.Algebra.IsUniformGroup.Basic
[ "Filter.instMembership", "UniformSpace", "instUniformSpaceProd", "instHDiv", "Filter.Eventually.diag_of_prod", "SProd.sprod", "Pi.instDiv", "uniformity", "Group", "Function.comp", "Membership.mem", "HDiv.hDiv", "Prod.mk", "UniformContinuous.comp_tendstoUniformlyOn", "Prod.fst", "Tendst...
true
AddGroupSeminorm.smul_sup
Mathlib.Analysis.Normed.Group.Seminorm
[ "Real.instIsOrderedRing", "Real.partialOrder", "Real", "instHSMul", "Lattice.toSemilatticeSup", "IsOrderedRing.toPosMulMono", "instSMulOfMul", "HMul.hMul", "AddGroupSeminorm.ext", "NNReal.instSMulOfReal", "congrArg", "AddGroupSeminorm.instMax", "IsScalarTower", "SMul", "SemilatticeSup.to...
true
PowerSeries.coe_rescaleAlgHom
Mathlib.RingTheory.PowerSeries.Substitution
[ "Eq.mpr", "CommRing", "MvPowerSeries.rescale", "Semiring.toModule", "AlgHom.algHomClass", "congrArg", "CommSemiring.toSemiring", "AlgHom", "RingHom.coe_coe", "AlgHom.funLike", "LinearMap.instFunLike", "MvPowerSeries", "RingHom", "Algebra.id", "id", "MvPowerSeries.instAlgebra", "Power...
true
Equiv.lattice._proof_2
Mathlib.Order.Lattice
[ "Lattice", "Preorder.toLT", "Equiv.instEquivLike", "Iff.rfl", "PartialOrder.toPreorder", "SemilatticeInf.toPartialOrder", "Equiv", "Iff", "LT.lt", "DFunLike.coe", "Lattice.toSemilatticeInf", "EquivLike.toFunLike" ]
false
_private.Mathlib.Data.List.Triplewise.0.List.triplewise_iff_getElem._simp_1_2
Mathlib.Data.List.Triplewise
[ "List.Pairwise", "List.pairwise_iff_getElem", "GetElem.getElem", "List", "Nat", "LT.lt", "propext", "instLTNat", "List.instGetElemNatLtLength", "Eq", "List.length" ]
false
_private.Mathlib.Algebra.Algebra.Subalgebra.Basic.0.AlgHom.rangeRestrict_surjective.match_1_1
Mathlib.Algebra.Algebra.Subalgebra.Basic
[ "Subalgebra.instSetLike", "AlgHom", "Algebra", "RingHom", "Membership.mem", "CommSemiring", "RingHom.instFunLike", "Exists.casesOn", "AlgHom.toRingHom", "Exists.intro", "Semiring", "Subalgebra", "Semiring.toNonAssocSemiring", "Eq", "DFunLike.coe", "SetLike.instMembership", "AlgHom.ra...
false
_private.Mathlib.Algebra.Order.Interval.Set.Instances.0.Set.Ioo.one_sub_mem._simp_1_2
Mathlib.Algebra.Order.Interval.Set.Instances
[ "sub_pos", "AddGroup.toSubtractionMonoid", "AddMonoid.toAddZeroClass", "AddRightStrictMono", "HSub.hSub", "AddZeroClass.toAddZero", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "SubNegMonoid.toSub", "AddGroup", "instHSub", "AddGroup.toSubNegMonoid", "LT.lt", "...
false
_private.Mathlib.Data.Nat.Choose.Multinomial.0.Nat.multinomial_congr_of_sdiff._proof_1_1
Mathlib.Data.Nat.Choose.Multinomial
[ "Lean.Grind.eq_false_of_not_eq_true", "False", "Lean.Grind.and_eq_of_eq_true_right", "Lean.Grind.iff_eq", "Finset", "Classical.byContradiction", "Lean.Grind.eq_false_of_imp_eq_true", "Finset.instSDiff", "Membership.mem", "Eq.mp", "id", "HasSubset.Subset", "instOfNatNat", "Finset.mem_sdiff"...
false
Units.inv_eq_val_inv
Mathlib.Algebra.Group.Units.Defs
[ "Monoid", "Units.val", "Units", "Inv.inv", "Units.inv", "Eq", "Units.instInv", "rfl" ]
true
MeasureTheory.L2.instInnerSubtypeAEEqFunMemAddSubgroupLpOfNatENNReal
Mathlib.MeasureTheory.Function.L2Space
[ "InnerProductSpace.toNormedSpace", "Real", "MeasureTheory.Measure", "Inner.mk", "Inner.inner", "Real.instRCLike", "MeasureTheory.AEEqFun.cast", "Nat.instAtLeastTwoHAddOfNat", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "Membership.mem", "Subtype", "MeasureTheory.L2.instInn...
true
Nat.eq_two_pow_or_exists_odd_prime_and_dvd
Mathlib.Data.Nat.Factors
[ "Iff.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "dvd_zero", "Nat.Prime", "Dvd.dvd", "HMul.hMul", "Classical.or_iff_not_imp_right", "Nat.instSemigroupWithZero", "Nat.instMonoid", "Odd", "Exists", "Eq.rec", "Distrib.toAdd", "AddMonoidWithOne.toNatCast", "Ne", "Odd._proof_1", "ins...
true
_private.Mathlib.Topology.EMetricSpace.BoundedVariation.0.BoundedVariationOn.tendsto_eVariationOn_Icc_zero_left._simp_1_2
Mathlib.Topology.EMetricSpace.BoundedVariation
[ "OrderBot.toBot", "OrderBot", "Bot.bot", "LE.le", "LE", "True", "eq_true", "Eq", "bot_le" ]
false
_private.Mathlib.MeasureTheory.Group.Arithmetic.0.measurable_div_const'._simp_1_1
Mathlib.MeasureTheory.Group.Arithmetic
[ "HMul.hMul", "Measurable", "Mul", "MeasurableMul", "MeasurableSpace", "MeasurableMul.measurable_mul_const", "True", "eq_true", "Eq", "instHMul" ]
false
Continuous.enorm
Mathlib.Analysis.Normed.Group.Continuity
[ "Continuous", "Continuous.comp", "continuous_enorm", "ContinuousENorm", "TopologicalSpace", "ENorm.enorm", "ContinuousENorm.toENorm", "ENNReal", "ENNReal.instTopologicalSpace" ]
true
CompleteLat.Iso.mk
Mathlib.Order.Category.CompleteLat
[ "CompleteLat.instLargeCategory", "sInfHom.mk", "CompleteLat.carrier", "CompleteLat.instConcreteCategoryCompleteLatticeHomCarrier", "PartialOrder.toPreorder", "Preorder.toLE", "CompleteLat.Iso.mk._proof_3", "CompleteLat.Iso.mk._proof_4", "CategoryTheory.Iso", "OrderIso", "CompleteLat.Iso.mk._proo...
true
CategoryTheory.EnrichedFunctor.comp_map
Mathlib.CategoryTheory.Enriched.Basic
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.EnrichedFunctor", "CategoryTheory.EnrichedCategory.Hom", "CategoryTheory.EnrichedFunctor.obj", "CategoryTheory.EnrichedFunctor.map", "CategoryTheory.EnrichedCategory", "CategoryTheory.CategoryS...
true
tendsto_atTop_iSup
Mathlib.Topology.Order.MonotoneConvergence
[ "iSup", "tendsto_atTop_ciSup", "PartialOrder.toPreorder", "Monotone", "Preorder.toLE", "OrderTop.bddAbove", "nhds", "CompleteLattice.toConditionallyCompleteLattice", "CompleteLattice.toBoundedOrder", "SupConvergenceClass", "Filter.atTop", "TopologicalSpace", "Filter.Tendsto", "BoundedOrder...
true
_private.Mathlib.NumberTheory.FLT.Three.0.FermatLastTheoremForThreeGen.Solution.lambda_sq_not_dvd_a_add_eta_sq_mul_b._simp_1_3
Mathlib.NumberTheory.FLT.Three
[ "HMul.hMul", "MulZeroClass.toMul", "mul_eq_mul_left_iff", "MulZeroClass", "IsLeftCancelMulZero", "propext", "Zero.toOfNat0", "Or", "OfNat.ofNat", "Eq", "MulZeroClass.toZero", "instHMul" ]
false
Nucleus.coe_toInfHom
Mathlib.Order.Nucleus
[ "Nucleus.toInfHom", "Nucleus", "InfHom", "SemilatticeInf.toMin", "Nucleus.instFunLike", "SemilatticeInf", "InfHom.instFunLike", "Eq", "DFunLike.coe", "rfl" ]
true
ImplicitFunctionData.hasStrictFDerivAt
Mathlib.Analysis.Calculus.Implicit
[ "ImplicitFunctionData.isCompl_ker", "ImplicitFunctionData.hasStrictFDerivAt_leftFun", "ImplicitFunctionData.leftFun", "ImplicitFunctionData.leftDeriv", "CompleteSpace", "NormedSpace", "ImplicitFunctionData.range_leftDeriv", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "ImplicitFunctionD...
true
SchwartzMap.toLp.eq_1
Mathlib.Analysis.Distribution.SchwartzSpace.Basic
[ "Real", "MeasureTheory.Measure", "NormedSpace", "SchwartzMap.memLp", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "Membership.mem", "Subtype", "SchwartzMap", "MeasureTheory.Lp", "MeasureTheory.AEEqFun", "AddSubgroup", "MeasurableSpace", "SchwartzMap.instFunLike", "Measu...
true
List.IsChain.induction
Mathlib.Data.List.Chain
[ "List.head", "Membership.mem", "_private.Mathlib.Data.List.Chain.0.List.IsChain.induction._proof_1_1", "List.IsChain", "Ne", "_private.Mathlib.Data.List.Chain.0.List.IsChain.induction._proof_1_9", "List.cons", "List", "List.instMembership", "_private.Mathlib.Data.List.Chain.0.List.IsChain.inductio...
true
_private.Std.Data.Iterators.Lemmas.Combinators.Zip.0.Std.Iter.toList_zip_of_finite_right._simp_1_2
Std.Data.Iterators.Lemmas.Combinators.Zip
[ "Decidable", "Option.some", "Option.none", "And", "propext", "Option.ite_none_right_eq_some", "Eq", "Option", "ite" ]
false
_private.Mathlib.Topology.Algebra.InfiniteSum.SummationFilter.0.SummationFilter.conditional_filter_eq_map_range._proof_1_6
Mathlib.Topology.Algebra.InfiniteSum.SummationFilter
[ "Lean.RArray.leaf", "False", "Int.Linear.le_norm_expr", "Int.Linear.le_unsat", "Classical.byContradiction", "PartialOrder.toPreorder", "Nat.not_le_eq", "Nat.ToInt.add_congr", "Preorder.toLE", "GE.ge", "Lean.RArray.branch", "Nat.ToInt.natCast_ofNat", "Int.Linear.Expr.add", "Nat.Linear.ExprC...
false
SchwartzMap.instAddCommGroup._proof_3
Mathlib.Analysis.Distribution.SchwartzSpace.Basic
[ "Real", "NormedSpace", "SchwartzMap", "SchwartzMap.instFunLike", "instHAdd", "HAdd.hAdd", "Real.normedField", "NormedAddCommGroup.toSeminormedAddCommGroup", "Eq", "DFunLike.coe", "SchwartzMap.instAdd", "rfl", "NormedAddCommGroup" ]
false
CategoryTheory.Functor.relativelyRepresentable.symmetryIso_inv
Mathlib.CategoryTheory.MorphismProperty.Representable
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.relativelyRepresentable.symmetryIso", "Eq.refl", "CategoryTheory.Functor.relativelyRepresentable.pullback", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Functor.relativelyRepresenta...
true
AddGroupExtension._sizeOf_inst
Mathlib.GroupTheory.GroupExtension.Defs
[ "AddGroupExtension", "AddGroupExtension._sizeOf_1", "AddGroup", "SizeOf.mk", "SizeOf" ]
false
_private.Std.Data.Iterators.Combinators.Monadic.Zip.0.Std.Iterators.Types.Zip.instFinitenessRelation₂.match_3
Std.Data.Iterators.Combinators.Monadic.Zip
[ "Std.IterM.IsPlausibleOutput", "Exists", "Subtype", "Prod.mk", "Std.Iterator", "Std.IterM.TerminationMeasures.Productive", "Std.IterM", "Prod", "Prod.casesOn", "Option" ]
false
LinearMap.quotKerEquivOfSurjective_symm_apply
Mathlib.LinearAlgebra.Isomorphisms
[ "Submodule", "Submodule.Quotient.addCommMonoid", "LinearEquiv.symm", "AddCommGroup.toAddCommMonoid", "Submodule.Quotient.mk", "LinearMap.ker", "LinearMap.instFunLike", "Submodule.hasQuotient", "AddCommGroup", "Submodule.Quotient.module", "LinearMap", "HasQuotient.Quotient", "RingHomInvPair.i...
true
Quiver.IsSStronglyConnected
Mathlib.Combinatorics.Quiver.ConnectedComponent
[ "Exists", "instOfNatNat", "Quiver.Path", "Nat", "Quiver.Path.length", "LT.lt", "Quiver", "instLTNat", "OfNat.ofNat" ]
true
_private.Mathlib.FieldTheory.SeparablyGenerated.0.exists_isTranscendenceBasis_and_isSeparable_of_linearIndepOn_pow_of_adjoin_eq_top.match_1_1
Mathlib.FieldTheory.SeparablyGenerated
[ "IntermediateField", "Compl.compl", "IntermediateField.toField", "Algebra", "Membership.mem", "Exists", "Field.toDivisionRing", "Algebra.id", "Set.instSingletonSet", "Subtype", "Ne", "DivisionRing.toRing", "IsTranscendenceBasis", "Set.instCompl", "Field.toSemifield", "Field.toCommRing"...
false
StieltjesFunction.zero_apply
Mathlib.MeasureTheory.Measure.Stieltjes
[ "Real", "Real.instZero", "LinearOrder", "AddZeroClass.toAddZero", "StieltjesFunction.toFun", "StieltjesFunction.instAddZeroClass", "TopologicalSpace", "AddZero.toZero", "StieltjesFunction", "Zero.toOfNat0", "OfNat.ofNat", "Eq", "rfl" ]
true
subsetInfSet._proof_1
Mathlib.Order.CompleteLatticeIntervals
[ "Preorder.toLE", "Membership.mem", "Set.Elem", "InfSet", "And", "Set.Nonempty", "And.right", "BddBelow", "Set.image", "Subtype.val", "Set.instMembership", "InfSet.sInf", "Preorder", "Subtype.instLE", "Set" ]
false
CategoryTheory.Grothendieck.comp.eq_1
Mathlib.CategoryTheory.Grothendieck
[ "CategoryTheory.Cat.category", "CategoryTheory.Functor", "CategoryTheory.Grothendieck.fiber", "CategoryTheory.Grothendieck.base", "CategoryTheory.eqToHom", "CategoryTheory.Grothendieck", "CategoryTheory.Cat.str", "CategoryTheory.Cat", "CategoryTheory.Functor.map", "CategoryTheory.Grothendieck.Hom....
true
derivationQuotKerSq._proof_4
Mathlib.RingTheory.Smooth.Kaehler
[ "IsScalarTower.to_smulCommClass'", "CommRing", "Algebra.to_smulCommClass", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "IsScalarTower.right", "CommRing.toNonUnitalCommRing", "instAddCommGroupKaehlerDifferential", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAdd...
false
_private.Init.Data.List.Erase.0.List.eraseP_filterMap.match_1.eq_2
Init.Data.List.Erase
[ "Unit.unit", "List.eraseP_filterMap.match_1", "Option.some", "Option.none", "Unit", "Eq.refl", "Eq", "Option" ]
true
Lean.Meta.Grind.Arith.Linear.instMonadGetStructLinearM
Lean.Meta.Tactic.Grind.Arith.Linear.LinearM
[ "Lean.Meta.Grind.Arith.Linear.MonadGetStruct.mk", "Lean.Meta.Grind.Arith.Linear.LinearM", "Lean.Meta.Grind.Arith.Linear.LinearM.getStruct", "Lean.Meta.Grind.Arith.Linear.MonadGetStruct" ]
true
MulOpposite.instAdd
Mathlib.Algebra.Opposites
[ "Add.mk", "MulOpposite", "instHAdd", "HAdd.hAdd", "MulOpposite.unop", "Add", "MulOpposite.op" ]
true
List.hasDecEq._f
Init.Prelude
[ "Decidable.isTrue", "False", "Decidable", "Eq.rec", "List.hasDecEq.match_1", "List.cons", "List", "heq_of_eq", "Unit", "absurd", "List.noConfusion", "eq_of_heq", "List.below", "HEq", "List.hasDecEq.match_3", "decEq", "Decidable.isFalse", "Eq", "Not", "rfl", "List.hasDecEq.mat...
false
ContinuousOn.prodMk
Mathlib.Topology.ContinuousOn
[ "instTopologicalSpaceProd", "Membership.mem", "Prod.mk", "TopologicalSpace", "ContinuousOn", "Prod", "Set.instMembership", "ContinuousWithinAt.prodMk", "Set" ]
true
PrincipalSeg.ofElement
Mathlib.Order.InitialSeg
[ "Subrel.relEmbedding", "PrincipalSeg", "Subtype", "Subrel", "PrincipalSeg.mk", "PrincipalSeg.ofElement._proof_1" ]
true
_private.Mathlib.Geometry.Euclidean.Sphere.OrthRadius.0.EuclideanGeometry.Sphere.inter_orthRadius_eq_empty_iff._simp_1_5
Mathlib.Geometry.Euclidean.Sphere.OrthRadius
[ "Classical.not_not", "propext", "Eq", "Not" ]
false
Order.le_pred_iff._simp_1
Mathlib.Order.SuccPred.Basic
[ "Preorder.toLT", "NoMinOrder", "Preorder.toLE", "LE.le", "Order.pred", "LT.lt", "propext", "Order.le_pred_iff", "PredOrder", "Eq", "Preorder" ]
false
_private.Mathlib.RingTheory.DedekindDomain.Ideal.Lemmas.0.IsDedekindDomain.quotientEquivPiOfProdEq._proof_3
Mathlib.RingTheory.DedekindDomain.Ideal.Lemmas
[ "Submodule", "CommRing", "Semiring.toModule", "CommSemiring.toSemiring", "Prime", "CommSemiring.toCommMonoidWithZero", "Ne", "CommMonoidWithZero.toMonoidWithZero", "Ideal.instIdemCommSemiring", "Ideal", "NonUnitalNonAssocSemiring.toAddCommMonoid", "CommRing.toCommSemiring", "MonoidWithZero.t...
false