name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
Equiv.swap_eq_refl_iff
Mathlib.Logic.Equiv.Basic
[ "Equiv.swap", "Iff", "_private.Mathlib.Logic.Equiv.Basic.0.Equiv.swap_eq_refl_iff._proof_1_2", "Equiv.Perm", "Iff.intro", "Equiv.injective", "_private.Mathlib.Logic.Equiv.Basic.0.Equiv.swap_eq_refl_iff._proof_1_1", "Equiv.refl", "Eq", "DecidableEq" ]
true
MulAction.block_stabilizerOrderIso.match_3
Mathlib.GroupTheory.GroupAction.Blocks
[ "Set.Ici", "PartialOrder.toPreorder", "Group", "Subtype.casesOn", "Membership.mem", "Set.Elem", "DivInvMonoid.toMonoid", "Subgroup", "Subtype.mk", "Group.toDivInvMonoid", "MulAction", "Subgroup.instPartialOrder", "MulAction.stabilizer", "Set.instMembership", "Set" ]
false
CategoryTheory.Functor.PushoutObjObj.ofHasPushout_ι
Mathlib.CategoryTheory.Limits.Shapes.Pullback.PullbackObjObj
[ "CategoryTheory.Functor", "CategoryTheory.Limits.WalkingSpan", "CategoryTheory.IsPushout.inl_desc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Functor.PushoutObjObj.ι._proof_1", "CategoryTheory.Functor.PushoutObjObj.ofHasPus...
true
Units.le_of_inv_mul_le_one
Mathlib.Algebra.Order.Monoid.Unbundled.Units
[ "Monoid", "Units.val", "MulOne.toOne", "HMul.hMul", "Monoid.toMulOneClass", "Units", "MulLeftMono", "MulOne.toMul", "LE.le", "LE", "MulOneClass.toMulOne", "Inv.inv", "Iff.mp", "One.toOfNat1", "OfNat.ofNat", "Units.instInv", "Units.inv_mul_le_one", "instHMul" ]
true
Mathlib.Tactic.Order.ToInt.toInt_sup_toInt_eq_toInt
Mathlib.Tactic.Order.ToInt
[ "Lattice.toSemilatticeSup", "congrArg", "Int.instLinearOrder", "Int.instMax", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "SemilatticeSup.toMax", "DistribLattice.toLattice", "_private.Mathlib.Tactic.Order.ToInt.0.Mathlib.Tactic.Order.ToInt.toInt_su...
true
_private.Batteries.Data.MLList.Basic.0.MLList.MLListImpl.nil
Batteries.Data.MLList.Basic
[ "_private.Batteries.Data.MLList.Basic.0.MLList.MLListImpl.nil", "_private.Batteries.Data.MLList.Basic.0.MLList.MLListImpl" ]
true
Lean.Compiler.LCNF.FindUsed.State.mk.sizeOf_spec
Lean.Compiler.LCNF.ReduceArity
[ "Lean.Compiler.LCNF.FindUsed.State.mk", "instSizeOfDefault", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Lean.Compiler.LCNF.FindUsed.State._sizeOf_inst", "Nat", "SizeOf.sizeOf", "Lean.Compiler.LCNF.FindUsed.State", "instAddNat", "Eq.refl", "OfNat.ofNat", "Eq", "Lean.FVarIdHashSet" ]
true
Tropical.untrop_injective
Mathlib.Algebra.Tropical.Basic
[ "id", "Tropical", "Function.Injective", "Eq", "Tropical.untrop" ]
true
CategoryTheory.MonoidalCategory.MonoidalRightAction.action_exchange
Mathlib.CategoryTheory.Monoidal.Action.Basic
[ "_private.Mathlib.CategoryTheory.Monoidal.Action.Basic.0.CategoryTheory.MonoidalCategory.MonoidalRightAction.action_exchange._simp_1_3", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionHomRight", "Quiver.Hom", "congrArg", "CategoryTheory.MonoidalC...
true
PartOrdEmb.Hom.noConfusion
Mathlib.Order.Category.PartOrdEmb
[ "PartOrdEmb.Hom.noConfusionType", "PartOrdEmb.str", "HEq.refl", "PartialOrder.toPreorder", "Preorder.toLE", "PartOrdEmb.carrier", "PartOrdEmb.Hom.casesOn", "eq_of_heq", "Eq.ndrec", "HEq", "OrderEmbedding", "PartOrdEmb", "Eq", "PartOrdEmb.Hom" ]
false
LinearMap.eq_adjoint_iff_basis_left
Mathlib.Analysis.InnerProductSpace.Adjoint
[ "Eq.mpr", "InnerProductSpace.toNormedSpace", "Inner.inner", "congrArg", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "LinearMap.instFunLike", "NormedDivisionRing.toDivisionRing", "NormedField.toField", "id", "Module.Basis.instFunLike", "RingHomInvPair.instStarRingEnd", "NormedFiel...
true
AlgebraicGeometry.Scheme.IdealSheafData.instIsPreimmersionSubschemeι
Mathlib.AlgebraicGeometry.IdealSheaf.Subscheme
[ "Eq.mpr", "AlgebraicGeometry.IsPreimmersion.instOfIsOpenImmersion", "AlgebraicGeometry.Scheme", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "AlgebraicGeometry.IsPreimmersion", "AlgebraicGeometry.Scheme.IdealSheafData.glueData", "AlgebraicGeometry.Scheme.IdealSheafData.subsche...
true
Unitization.instCStarAlgebra
Mathlib.Analysis.CStarAlgebra.Unitization
[ "Unitization.instCStarAlgebra._proof_2", "Unitization.instCStarAlgebra._proof_4", "NonUnitalCStarAlgebra.toStarModule", "NonUnitalCStarAlgebra.toNonUnitalNormedRing", "Unitization.instCStarAlgebra._proof_1", "Unitization.instNormedRing", "NormedSpace.toModule", "Complex.instNormedField", "Unitizatio...
true
CategoryTheory.Pretriangulated.id_hom₂
Mathlib.CategoryTheory.Triangulated.Basic
[ "CategoryTheory.Pretriangulated.TriangleMorphism.hom₂", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.CategoryStruct.id", "Int", "Int.instAddMonoid", "CategoryTheory.Pretriangulated.Triangle", "CategoryTheory.Pretriangulated.triangleCategory", "CategoryTheory.Category.toCat...
true
_private.Init.Data.Range.Polymorphic.UInt.0.USize.instLawfulHasSize._simp_2
Init.Data.Range.Polymorphic.UInt
[ "BitVec", "USize.toBitVec_inj", "System.Platform.numBits", "USize.toBitVec", "propext", "Eq.symm", "Eq", "USize" ]
false
PrimeSpectrum.BasicConstructibleSetData.map.eq_1
Mathlib.RingTheory.Spectrum.Prime.ConstructibleSet
[ "CommSemiring.toSemiring", "PrimeSpectrum.BasicConstructibleSetData", "PrimeSpectrum.BasicConstructibleSetData.mk", "RingHom", "Function.comp", "PrimeSpectrum.BasicConstructibleSetData.f", "PrimeSpectrum.BasicConstructibleSetData.g", "CommSemiring", "RingHom.instFunLike", "Eq.refl", "PrimeSpectr...
true
Lean.Meta.Match.Example.var.injEq
Lean.Meta.Match.Basic
[ "Lean.Meta.Match.Example", "Eq.propIntro", "Lean.FVarId", "Lean.Meta.Match.Example.var.inj", "Eq.ndrec", "Eq.refl", "Eq", "Lean.Meta.Match.Example.var" ]
true
CategoryTheory.TransfiniteCompositionOfShape.iic._proof_3
Mathlib.CategoryTheory.Limits.Shapes.Preorder.TransfiniteCompositionOfShape
[ "LinearOrder", "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "OrderBot", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "Bot.bot", "LE.le", "bot_le", "instDistribLatticeOfLinearOrder", "Lattice.toSemilatticeInf" ]
false
Std.Internal.UV.TCP.Socket.cancelAccept
Std.Internal.UV.TCP
[ "Inhabited.default", "instInhabitedError", "IO", "instInhabitedEIO", "Unit", "Std.Internal.UV.TCP.Socket", "IO.Error" ]
true
SimpleGraph.not_reachable_of_neighborSet_right_eq_empty
Mathlib.Combinatorics.SimpleGraph.Connectivity.Connected
[ "SimpleGraph.Reachable.symm", "SimpleGraph.neighborSet", "Ne", "Ne.symm", "SimpleGraph", "Set.instEmptyCollection", "SimpleGraph.not_reachable_of_neighborSet_left_eq_empty", "EmptyCollection.emptyCollection", "Eq", "Not", "SimpleGraph.Reachable", "Set" ]
true
Matroid.IsRkFinite.indep_of_encard_le_eRk
Mathlib.Combinatorics.Matroid.Rank.ENat
[ "Eq.mpr", "Set.encard", "Preorder.toLT", "instCompleteLinearOrderENat", "ChainCompletePartialOrder.instOfCompleteLattice", "instTopENat", "congrArg", "CompletelyDistribLattice.toCompleteLattice", "Set.Finite", "LE.le.antisymm", "Eq.mp", "Matroid.Indep", "instPreorderENat", "id", "Matroid...
true
LieAlgebra.rootSpaceWeightSpaceProductAux._proof_4
Mathlib.Algebra.Lie.Weights.Cartan
[ "LieAlgebra.toModule", "LieSubalgebra.lieAlgebra", "AddHom.mk.congr_simp", "LieSubmodule.instSetLike", "Subtype.mk.congr_simp", "CommRing", "LieAlgebra.rootSpaceWeightSpaceProductAux._proof_2", "instHSMul", "LieRing.toAddCommGroup", "LieSubalgebra.instSetLike", "LinearMap.ext", "congrArg", "...
false
Ideal.instMulActionElemPrimesOver._proof_3
Mathlib.NumberTheory.RamificationInertia.Galois
[ "Submodule.instAddCommMonoidWithOne", "Semigroup.toMul", "CommRing", "instHSMul", "Semiring.toModule", "HMul.hMul", "Ideal.LiesOver.smul", "Ideal.primesOver", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "AddGroupWithOne.toAddMonoidWithOne", "Group...
false
Mathlib.Meta.NormNum.isNat_lt_false
Mathlib.Tactic.NormNum.Ineq
[ "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Meta.NormNum.IsNat", "Preorder.toLT", "Nat.ble", "IsOrderedRing", "PartialOrder.toPreorder", "PartialOrder", "AddCommMonoidWithOne.toAddMonoidWithOne", "Bool.true", "Nat", "LT.lt", "Bool", "Semiring", "Semiring.toNonAssocSemiring", "Eq"...
true
WithZero.coe_zpow
Mathlib.Algebra.GroupWithZero.WithZero
[ "One", "Pow", "Int", "HPow.hPow", "WithZero", "WithZero.coe", "WithZero.instPowInt", "instHPow", "Eq", "rfl" ]
true
HasFDerivAt.tendsto_nhdsNE
Mathlib.Analysis.Calculus.FDeriv.Equiv
[ "Iff.mpr", "HasFDerivAt", "Eq.mpr", "NormedSpace", "congrArg", "NormedAddCommGroup.toMetricSpace", "AddCommGroup.toAddCommMonoid", "Compl.compl", "ContinuousLinearMap.funLike", "Set.univ", "nhdsWithin", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "HasFDerivWithinAt", "Nor...
true
Lean.Lsp.WorkspaceSymbolParams.noConfusion
Lean.Data.Lsp.LanguageFeatures
[ "String", "Lean.Lsp.WorkspaceSymbolParams.casesOn", "Eq.ndrec", "Eq.refl", "Eq", "Lean.Lsp.WorkspaceSymbolParams.noConfusionType", "Lean.Lsp.WorkspaceSymbolParams" ]
false
AlgebraicGeometry.localRingHom_comp_stalkIso
Mathlib.AlgebraicGeometry.Spec
[ "Iff.mpr", "Eq.mpr", "CategoryTheory.Iso.comp_inv_eq", "RingHom.instRingHomClass", "CommRingCat.hom_ext", "CommRingCat.Hom.hom", "AlgebraicGeometry.SheafedSpace", "CommRingCat.carrier", "Algebra.algebraMap", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AlgEquiv.symm", "OreLocaliz...
true
_private.Mathlib.CategoryTheory.Preadditive.CommGrp_.0.CategoryTheory.Preadditive.instGrpObj._simp_3
Mathlib.CategoryTheory.Preadditive.CommGrp_
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategoryStruct.rightUnitor", "CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory", "CategoryTheory.CartesianMonoidalCategory", "CategoryTheory.MonoidalCategoryStruct.tensorObj", "CategoryTheory.MonoidalCategoryS...
false
ProfiniteGrp.instHasForget₂ContinuousMonoidHomCarrierToTopTotallyDisconnectedSpaceToProfiniteGrpCatMonoidHomCarrier._proof_4
Mathlib.Topology.Algebra.Category.ProfiniteGrp.Basic
[ "GrpCat.instConcreteCategoryMonoidHomCarrier", "CategoryTheory.Functor", "GrpCat", "MonoidHom.instFunLike", "CategoryTheory.CategoryStruct.toQuiver", "MonoidHom", "Quiver.Hom", "GrpCat.str", "Monoid.toMulOneClass", "CategoryTheory.Functor.mk", "ProfiniteGrp.group", "ProfiniteGrp.instHasForget₂...
false
Lean.Elab.Term.LValResolution.const.elim
Lean.Elab.App
[ "PULift.up", "Lean.Elab.Term.LValResolution.ctorIdx", "Lean.Elab.Term.LValResolution", "Lean.Elab.Term.LValResolution.ctorElim", "Nat", "Lean.Name", "Eq.symm", "Lean.Elab.Term.LValResolution.const", "Eq" ]
false
Nat.log2
Init.Data.Nat.Log2
[ "Nat.ble", "Nat.rec", "Nat.div", "Nat", "Bool.rec", "Bool", "Nat.succ" ]
true
MeasureTheory.OuterMeasure.instPartialOrder._proof_2
Mathlib.MeasureTheory.OuterMeasure.Operations
[ "le_rfl", "PartialOrder.toPreorder", "Preorder.toLE", "MeasureTheory.OuterMeasure", "LE.le", "MeasureTheory.OuterMeasure.instFunLikeSetENNReal", "ENNReal", "ENNReal.instPartialOrder", "DFunLike.coe", "Set" ]
false
Set.biInter_finsetSigma'
Mathlib.Data.Finset.Sigma
[ "Set.iInter", "Finset", "Membership.mem", "Finset.sigma", "Sigma.fst", "biInf_finsetSigma'", "Finset.instSetLike", "CompleteBooleanAlgebra.toCompleteLattice", "Sigma.snd", "Eq", "SetLike.instMembership", "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra", "Set.instCompleteAtomicBooleanA...
true
_private.Mathlib.MeasureTheory.Measure.CharacteristicFunction.Basic.0.MeasureTheory.charFun_prod._simp_1_3
Mathlib.MeasureTheory.Measure.CharacteristicFunction.Basic
[ "InnerProductSpace.toNormedSpace", "Real", "MeasureTheory.Measure", "HMul.hMul", "Real.instRCLike", "NormedField.toField", "MeasureTheory.integral_prod_mul", "NormedCommRing.toNonUnitalNormedCommRing", "Field.toSemifield", "Prod.fst", "RCLike.toDenselyNormedField", "instDistribOfSemiring", "...
false
MeasurableSet.inf_eq_inter
Mathlib.MeasureTheory.MeasurableSpace.MeasurablyGenerated
[ "MeasurableSet.Subtype.instInter", "MeasurableSet", "MeasurableSet.Subtype.instInf", "Subtype", "Inter.inter", "MeasurableSpace", "Eq", "Min.min", "rfl", "Set" ]
true
essSup_eq_iSup
Mathlib.MeasureTheory.Function.EssSup
[ "MeasureTheory.ae", "Iff.mpr", "Eq.mpr", "MeasureTheory.Measure", "congrArg", "iSup", "MeasureTheory.ae_eq_top", "essSup.eq_1", "CompleteLattice.toConditionallyCompleteLattice", "Set.instSingletonSet", "id", "Ne", "Filter.limsup", "MeasurableSpace", "ENNReal", "Zero.toOfNat0", "Eq.re...
true
Subgroup.upperCentralSeriesStep.hcongr_4
Mathlib.GroupTheory.Nilpotent
[ "HEq.refl", "Group", "Subgroup", "Subgroup.upperCentralSeriesStep", "eq_of_heq", "Eq.ndrec", "HEq", "Eq", "Subgroup.Normal" ]
true
_private.Mathlib.Analysis.Meromorphic.Order.0.meromorphicOrderAt_eq_top_iff._simp_1_4
Mathlib.Analysis.Meromorphic.Order
[ "instTopENat", "ENat.map_eq_top_iff", "ENat.map", "WithTop.top", "Nat", "ENat", "propext", "Top.top", "Eq", "WithTop" ]
false
multiplicity_addValuation._proof_2
Mathlib.RingTheory.Valuation.PrimeMultiplicity
[ "MulOne.toOne", "CommRing", "emultiplicity_of_one_right", "Monoid.toMulOneClass", "CommSemiring.toSemiring", "Prime", "CommSemiring.toCommMonoidWithZero", "Prime.not_unit", "MulOneClass.toMulOne", "CommRing.toCommSemiring", "CommMonoid.toMonoid", "ENat", "instCommSemiringENat", "One.toOfNa...
false
HahnEmbedding.ArchimedeanStrata.isInternal_stratum'
Mathlib.Algebra.Order.Module.HahnEmbedding
[ "Eq.mpr", "Submodule", "RingHomSurjective.ids", "Submodule.addSubmonoidClass", "DirectSum.IsInternal", "Submodule.map_iSup", "LinearOrder.toDecidableEq", "Ring.toNonAssocRing", "IsOrderedRing", "congrArg", "iSup", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "Submodule...
true
CategoryTheory.GrothendieckTopology.mem_toCoverage_iff
Mathlib.CategoryTheory.Sites.Coverage
[ "CategoryTheory.GrothendieckTopology.toCoverage", "CategoryTheory.Presieve", "Iff.rfl", "Membership.mem", "CategoryTheory.Sieve", "Iff", "CategoryTheory.GrothendieckTopology", "CategoryTheory.Precoverage.coverings", "CategoryTheory.Sieve.generate", "Set.instMembership", "DFunLike.coe", "Catego...
true
_private.Mathlib.Geometry.Euclidean.Triangle.0.InnerProductGeometry.sin_angle_eq_sin_angle_add_add_angle_add
Mathlib.Geometry.Euclidean.Triangle
[ "Mathlib.Tactic.Ring.Common.mul_pf_left", "Iff.mpr", "AddGroup.toSubtractionMonoid", "Norm.norm", "Mathlib.Tactic.FieldSimp.zpow'_one", "Mathlib.Tactic.Ring.Common.neg_zero", "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "add_neg_cancel", "instDecidableN...
true
Std.DHashMap.Internal.AssocList.getKey_eq
Std.Data.DHashMap.Internal.AssocList.Lemmas
[ "Iff.mpr", "Std.DHashMap.Internal.AssocList.toList", "Std.DHashMap.Internal.AssocList.getKey", "False", "dite_congr", "congrArg", "False.elim", "Bool.eq_false_iff", "Std.DHashMap.Internal.AssocList.contains", "Bool.false_eq_true", "Std.DHashMap.Internal.AssocList.nil", "Eq.mp", "instDecidabl...
true
_private.Mathlib.Analysis.SpecificLimits.Fibonacci.0.tendsto_fib_succ_div_fib_atTop._simp_1_6
Mathlib.Analysis.SpecificLimits.Fibonacci
[ "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.GrothendieckTopology.liftToDiagramLimitObj._proof_1
Mathlib.CategoryTheory.Sites.LeftExact
[ "CategoryTheory.Limits.limit.π", "CategoryTheory.Limits.multiequalizer", "CategoryTheory.Limits.MulticospanShape.snd", "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.Limits.limit_obj_ext", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor.flip", "CategoryTheory.Limits.Multiequalize...
false
ENNReal.measurable_of_tendsto
Mathlib.MeasureTheory.Constructions.BorelSpace.Real
[ "Pi.topologicalSpace", "Countable.LindelofSpace", "Measurable", "TopologicalSpace.instSecondCountableTopologyOfLindelofSpaceOfPseudoMetrizableSpace", "instArchimedeanNat", "instTopologicalSpaceNat", "ENNReal.measurableSpace", "Filter.atTop_neBot", "Nat.instLocallyFiniteOrder", "instInhabitedNat", ...
true
SSet.stdSimplex.objEquiv_symm_comp
Mathlib.AlgebraicTopology.SimplicialSet.StdSimplex
[ "Opposite", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "CategoryTheory.Functor.category", "TypeCat.instFunLikeFun", "Equiv", "SSet", "SSet.stdSimplex", "CategoryTheory.Functor.map", "TypeCat.Fun", "CategoryTheory.type...
true
Quot.map₂._proof_2
Mathlib.Data.Quot
[ "Quot.sound", "Quot", "Eq", "Quot.mk" ]
false
CategoryTheory.constant_of_preserves_morphisms'
Mathlib.CategoryTheory.IsConnected
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.IsConnected.is_nonempty", "Exists", "CategoryTheory.IsConnected.toIsPreconnected", "CategoryTheory.constant_of_preserves_morphisms", "Exists.intro", "Classical.arbitrary", "CategoryTheory.IsConnected", "CategoryTheory.Category...
true
Std.HashSet.get?_union_of_not_mem_right
Std.Data.HashSet.Lemmas
[ "Std.HashSet.instMembership", "Std.HashMap.getKey?_union_of_not_mem_right", "Std.HashSet", "Membership.mem", "Std.HashSet.instUnion", "LawfulHashable", "Unit", "EquivBEq", "Std.HashSet.inner", "Hashable", "Union.union", "BEq", "Eq", "Not", "Std.HashSet.get?", "Option" ]
true
Manifold._aux_Mathlib_Geometry_Manifold_Notation___elabRules_Manifold_termMDiffAt___1
Mathlib.Geometry.Manifold.Notation
[ "Lean.TSyntax", "Lean.Elab.Term.TermElab", "Lean.instMonadExceptOfExceptionCoreM", "Lean.Elab.Term.elabTerm", "Lean.Elab.Term.instMonadTermElabM", "ReaderT", "Lean.Meta.State", "Lean.Syntax.isOfKind", "instMonadLiftT", "Lean.TSyntax.mk", "Lean.Syntax", "Lean.Name.mkStr3", "Lean.TSyntax.raw",...
false
IsCyclic.card_mulAut
Mathlib.GroupTheory.SpecificGroups.Cyclic
[ "Eq.mpr", "Nat.instMulZeroClass", "NeZero.mk", "MulEquiv.instEquivLike", "InvOneClass.toOne", "ZMod.commRing", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "congrArg", "CommSemiring.toSemiring", "Nat.card_pos", "IsCyclic.mulAutMulEquiv", "Finite", "ZMod.fintype", "MulAut.inst...
true
_private.Std.Tactic.BVDecide.Normalize.BitVec.0.Std.Tactic.BVDecide.Normalize.BitVec.le_ult._simp_1_1
Std.Tactic.BVDecide.Normalize.BitVec
[ "BitVec", "BitVec.toNat", "LE.le", "instLENat", "Nat", "BitVec.le_def", "propext", "instLEBitVec", "Eq" ]
false
Module.Presentation.CokernelData.mk.noConfusion
Mathlib.Algebra.Module.Presentation.Cokernel
[ "Module.Presentation.toRelations", "Module.Presentation", "Module.Presentation.CokernelData.mk", "Semiring.toModule", "Finsupp.module", "Ring.toNonAssocRing", "AddCommGroup.toAddCommMonoid", "HEq.refl", "LinearMap.instFunLike", "Module.Presentation.toSolution", "AddCommGroup", "id", "NonUnit...
false
Finsupp.subtypeDomain_extendDomain
Mathlib.Data.Finsupp.Basic
[ "Subtype", "Finsupp.subtypeDomain_piecewise", "DecidablePred", "Zero.toOfNat0", "Finsupp.subtypeDomain", "Finsupp.instZero", "OfNat.ofNat", "Eq", "Finsupp.extendDomain", "Not", "Finsupp", "Zero" ]
true
ContinuousAlternatingMap.bounds_nonempty
Mathlib.Analysis.Normed.Module.Alternating.Basic
[ "Norm.norm", "Real.instLE", "Real", "SeminormedAddCommGroup", "HMul.hMul", "Finset.univ", "NormedSpace", "Real.instZero", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "setOf", "PseudoMetricSpace.toUniformSpace", "Membership.mem", "NormedField.toField", "Exists", "LE.le", "...
true
ENNReal.instCompleteLinearOrder._aux_1
Mathlib.Data.ENNReal.Basic
[ "PartialOrder.toPreorder", "Classical.propDecidable", "Preorder.toLE", "Membership.mem", "NNReal", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", "WithTop.some", "BddAbove", "NNReal.instConditionallyCompleteLinearOrderBot", "WithTop.top", "Set.preimage", "ENNReal", "Condi...
false
_private.Mathlib.Tactic.MinImports.0.Mathlib.Command.MinImports.previousInstName.match_5
Mathlib.Tactic.MinImports
[ "String", "namedPattern", "Nat.hasNotBit", "Lean.Name.ctorIdx", "Lean.Name.str", "Lean.Name", "Eq.refl", "Eq", "_private.Mathlib.Tactic.MinImports.0.Mathlib.Command.MinImports.isInitImport._sparseCasesOn_1" ]
false
Std.Internal.List.minKey_insertEntryIfNew_le_minKey
Std.Data.Internal.List.Associative
[ "Std.Internal.List.DistinctKeys", "Ord", "Std.TransOrd", "Std.Internal.List.minKey?", "Std.Internal.List.minKey_eq_get_minKey?._proof_1", "Std.Internal.List.insertEntryIfNew", "Ord.compare", "Bool.true", "List", "Option.get", "Std.Internal.List.minKey?_insertEntryIfNew_le_minKey?", "List.isEmp...
true
FirstOrder.Language.Structure.noConfusionType
Mathlib.ModelTheory.Basic
[ "FirstOrder.Language.Structure.casesOn", "autoParam", "FirstOrder.Language.Structure", "FirstOrder.Language.Structure.funMap._autoParam", "Nat", "FirstOrder.Language.Relations", "FirstOrder.Language.Functions", "HEq", "FirstOrder.Language", "Fin", "FirstOrder.Language.Structure.RelMap._autoParam...
false
CategoryTheory.Limits.prod.lift'
Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.prod.fst", "CategoryTheory.Limits.prod.lift'._proof_1", "Subtype", "Subtype.mk", "CategoryTheory.Limits.prod.snd", "And", "CategoryTheory.Limits.HasBinaryProduct", "CategoryTheory.CategoryStruct.comp", "CategoryTheory...
true
_private.Init.Data.String.Pattern.String.0.String.Slice.Pattern.ForwardSliceSearcher.buildTable.go._unary._proof_9
Init.Data.String.Pattern.String
[ "Eq.mpr", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "Nat.zero_lt_succ._simp_1", "of_decide_eq_true", "le_of_le_of_eq", "Array.push", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "congrArg", "InvImage", "Int.add_one_le_of_lt", "_priva...
false
Subalgebra.prod_toSubmodule
Mathlib.Algebra.Algebra.Subalgebra.Prod
[ "Submodule", "CommSemiring.toSemiring", "PartialOrder.toPreorder", "Algebra", "Preorder.toLE", "Algebra.toModule", "Prod.instSemiring", "Submodule.instPartialOrder", "Submodule.prod", "Prod.algebra", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "Subalgebra.prod", "Subalgebr...
true
CategoryTheory.bifunctorComp₁₂
Mathlib.CategoryTheory.Functor.Trifunctor
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.mk", "CategoryTheory.Functor.category", "CategoryTheory.bifunctorComp₁₂Obj", "CategoryTheory.Functor.map", "CategoryTheory.NatTrans.mk", "CategoryTheory.bifunctorComp₁₂._proof_4", "CategoryThe...
true
Std.Tactic.BVDecide.BVUnOp.casesOn
Std.Tactic.BVDecide.Bitblast.BVExpr.Basic
[ "Std.Tactic.BVDecide.BVUnOp.clz", "Std.Tactic.BVDecide.BVUnOp", "Std.Tactic.BVDecide.BVUnOp.rec", "Std.Tactic.BVDecide.BVUnOp.cpop", "Std.Tactic.BVDecide.BVUnOp.not", "Std.Tactic.BVDecide.BVUnOp.rotateLeft", "Nat", "Std.Tactic.BVDecide.BVUnOp.reverse", "Std.Tactic.BVDecide.BVUnOp.arithShiftRightCons...
false
_private.Lean.Elab.DocString.0.Lean.Doc.ModuleDocstringState.mk
Lean.Elab.DocString
[ "Array", "Lean.ScopedEnvExtension", "Lean.EnvExtensionEntry", "Lean.EnvExtensionState", "Lean.Doc.State", "_private.Lean.Elab.DocString.0.Lean.Doc.ModuleDocstringState.mk", "_private.Lean.Elab.DocString.0.Lean.Doc.ModuleDocstringState" ]
true
Tree._sizeOf_inst
Mathlib.Data.Tree.Basic
[ "Tree", "SizeOf.mk", "SizeOf", "Tree._sizeOf_1" ]
false
_private.Mathlib.Data.Real.ConjExponents.0.ENNReal.HolderTriple.toNNReal_iff._simp_1_1
Mathlib.Data.Real.ConjExponents
[ "Real.HolderTriple", "NNReal", "NNReal.holderTriple_coe_iff", "propext", "Eq.symm", "Eq", "NNReal.toReal", "NNReal.HolderTriple" ]
false
Monoid.Coprod.mk
Mathlib.GroupTheory.Coprod.Basic
[ "CancelMonoid.toRightCancelMonoid", "FreeMonoid", "MonoidHom", "Monoid.toMulOneClass", "FreeMonoid.instCancelMonoid", "Sum", "MulOneClass.toMulOne", "Monoid.Coprod.instMulOneClass", "RightCancelMonoid.toMonoid", "MulOneClass", "Monoid.coprodCon", "Monoid.Coprod", "Con.mk'" ]
true
MeasurableSMul₂
Mathlib.MeasureTheory.Group.Arithmetic
[ "SMul", "MeasurableSpace", "MeasurableSMul₂.mk" ]
true
CategoryTheory.Abelian.SpectralObject.isIso_map_fourδ₄Toδ₃._auto_5
Mathlib.Algebra.Homology.SpectralObject.EpiMono
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
TensorProduct.instRepr
Mathlib.LinearAlgebra.TensorProduct.Defs
[ "Std.instToFormatString", "FreeAddMonoid.toList", "TensorProduct.instRepr.match_3", "Std.Format.instAppend", "Equiv.instEquivLike", "TensorProduct.instRepr.match_1", "Std.Format.fill", "AddMonoid.toAddSemigroup", "addConGen", "TensorProduct.Eqv", "CommSemiring.toSemiring", "String", "List.ma...
true
CategoryTheory.ShortComplex.Hom.mk.sizeOf_spec
Mathlib.Algebra.Homology.ShortComplex.Basic
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ShortComplex", "instSizeOfDefault", "CategoryTheory.ShortComplex.X₁", "CategoryTheory.ShortComplex.Hom.comm₁₂._autoParam", "instOfNatNat", "autoParam", "CategoryTheory.ShortComplex.Hom...
true
Aesop.GoalStats.forwardStateStats
Aesop.Stats.Basic
[ "Aesop.GoalStats", "Aesop.ForwardStateStats" ]
true
Polynomial.eval_le_zero_of_roots_le_of_leadingCoeff_nonpos
Mathlib.Analysis.Polynomial.Order
[ "AddGroup.toSubtractionMonoid", "Eq.mpr", "Polynomial.eval", "NegZeroClass.toNeg", "Real.instLE", "Real", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Polynomial.instNeg", "Real.instZero", "congrArg", "Polynomial.IsRoot", "Real.semiring", "neg_eq_iff_eq_neg", "id", "NonUnitalNonAsso...
true
LieAlgebra.IsKilling.corootSubmodule._proof_2
Mathlib.Algebra.Lie.Weights.Killing
[ "LieAlgebra.toModule", "LieSubmodule.instSetLike", "LieRing.toAddCommGroup", "LieSubalgebra.instSetLike", "AddMonoid.toAddZeroClass", "LieSubmodule", "AddCommGroup.toAddGroup", "Membership.mem", "AddSubmonoidClass", "Subtype", "LieSubalgebra.lieRing", "Field.toCommRing", "LieRing", "AddGro...
false
ByteArray.size_set
Batteries.Data.ByteArray
[ "ByteArray.set", "Array.size_set", "Fin.val", "Nat", "ByteArray.data", "ByteArray", "ByteArray.size_set._proof_2", "UInt8", "Fin", "Eq", "ByteArray.size" ]
true
Homeomorph.instEquivLike._proof_2
Mathlib.Topology.Homeomorph.Defs
[ "Equiv.right_inv", "Homeomorph.toEquiv", "Equiv.toFun", "TopologicalSpace", "Function.RightInverse", "Homeomorph", "Equiv.invFun" ]
false
CompHaus.toStonean
Mathlib.Topology.Category.Stonean.Basic
[ "CompHaus.toStonean._proof_1", "CompHausLike.mk", "TopCat.str", "TopCat.carrier", "Stonean", "True", "CompHaus.instCompactSpaceCarrierToTopTrue", "CompHausLike.category", "CategoryTheory.Projective", "TopCat", "CompHaus", "CompHausLike.toTop", "ExtremallyDisconnected", "CompHaus.instT2Spac...
true
_private.Mathlib.NumberTheory.FLT.Three.0.FermatLastTheoremForThreeGen.Solution'.mk.sizeOf_spec
Mathlib.NumberTheory.FLT.Three
[ "Units.val", "Dvd.dvd", "HMul.hMul", "CommRing.toNonUnitalCommRing", "NumberField.instCommRingRingOfIntegers", "AddGroupWithOne.toAddGroup", "CommSemiring.toSemiring", "Units._sizeOf_inst", "semigroupDvd", "_private.Mathlib.NumberTheory.FLT.Three.0.FermatLastTheoremForThreeGen.Solution'._sizeOf_in...
true
CategoryTheory.MonoidalCategory.MonoidalLeftAction.oppositeLeftAction_actionHom_op
Mathlib.CategoryTheory.Monoidal.Action.Opposites
[ "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Quiver.Hom.op", "CategoryTheory.MonoidalCategory", "CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionObj", "CategoryTheory.MonoidalCategory.MonoidalLeftAction.toMonoidalLeftActionStruct", "CategoryTheory.MonoidalCategor...
true
add_neg'
Mathlib.Algebra.Order.Monoid.Unbundled.Basic
[ "Preorder.toLT", "Left.add_neg'", "AddLeftMono", "Preorder.toLE", "AddZeroClass.toAddZero", "AddZero.toZero", "instHAdd", "AddZeroClass", "HAdd.hAdd", "LT.lt", "AddZero.toAdd", "Zero.toOfNat0", "OfNat.ofNat", "Preorder" ]
true
Complex.arg_cos_add_sin_mul_I
Mathlib.Analysis.SpecialFunctions.Complex.Arg
[ "Eq.mpr", "Set.Ioc", "MulOne.toOne", "Real.partialOrder", "Real", "Real.pi", "HMul.hMul", "Complex.cos", "Real.instZero", "Real.instZeroLEOneClass", "congrArg", "Complex.sin", "Complex.arg_mul_cos_add_sin_mul_I", "Membership.mem", "Complex.instMul", "Complex.arg", "id", "MulOne.toM...
true
biUnion_associatedPrimes_eq_zero_divisors
Mathlib.RingTheory.Ideal.AssociatedPrime.Basic
[ "Eq.mpr", "Submodule", "SetLike.mem_coe._simp_1", "Submodule.colon", "instHSMul", "Set.iUnion₂_subset", "Semiring.toModule", "IsAssociatedPrime", "exists_le_isAssociatedPrime_of_isNoetherianRing", "Iff.of_eq", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "HEq.re...
true
Bundle.Pretrivialization.restrictPreimage'._proof_1
Mathlib.Topology.FiberBundle.Trivialization
[ "Membership.mem", "Set.Elem", "Set.preimage", "Subtype.val", "Set.instMembership", "Subtype.property", "Set" ]
false
CategoryTheory.MorphismProperty.LeftFraction.ofHom.eq_1
Mathlib.CategoryTheory.Localization.CalculusOfFractions
[ "CategoryTheory.MorphismProperty", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MorphismProperty.LeftFraction.mk", "CategoryTheory.CategoryStruct.id", "CategoryTheory.MorphismProperty.LeftFraction.ofHom", "CategoryTheory.MorphismProperty.LeftFraction", "Eq.refl", "Category...
true
Set.countable_union
Mathlib.Data.Set.Countable
[ "cond", "congrArg", "Set.instUnion", "Bool.countable", "iff_self", "Bool.true", "And", "Iff", "_private.Mathlib.Data.Set.Countable.0.Set.countable_union._simp_1_1", "True", "Bool", "of_eq_true", "congrFun'", "Union.union", "Set.union_eq_iUnion", "Set.Countable", "Bool.false", "Set....
true
Int.Linear.cooper_right_split_dvd_cert
Init.Data.Int.Linear
[ "Bool.and'", "Int.Linear.Poly.leadCoeff", "Int.Linear.Poly.beq'", "Int", "Int.beq'", "Int.Linear.Poly.addConst_k", "Int.Linear.Poly.tail", "Bool", "Int.Linear.Poly" ]
true
Std.TreeMap.Raw.getKeyD_insertManyIfNewUnit_list_of_mem
Std.Data.TreeMap.Raw.Lemmas
[ "Std.TreeMap.Raw.WF.out", "instForInOfForIn'", "Membership.mem", "Ordering", "Std.TreeMap.Raw.instMembership", "inferInstance", "Std.TransCmp", "Std.TreeMap.Raw.WF", "Id", "Std.TreeMap.Raw.inner", "Membership", "Std.TreeMap.Raw", "List", "Unit", "List.instMembership", "Id.instMonad", ...
true
Orientation.rotation_neg_orientation_eq_neg
Mathlib.Geometry.Euclidean.Angle.Oriented.Rotation
[ "LinearIsometryEquiv.instEquivLike", "AlternatingMap.instAddCommGroup", "AddGroup.toSubtractionMonoid", "AlternatingMap", "InnerProductSpace.toNormedSpace", "NegZeroClass.toNeg", "Orientation", "Real.partialOrder", "neg_smul", "Real", "instHSMul", "Semiring.toModule", "LinearIsometryEquiv.tr...
true
WithAbs.instSemiring._proof_8
Mathlib.Analysis.Normed.Ring.WithAbs
[ "WithAbs.instSemiring._proof_3", "NonAssocSemiring.toAddCommMonoidWithOne", "instHSMul", "Equiv.instEquivLike", "WithAbs", "AddMonoid.toAddSemigroup", "Add.mk", "AddMonoid.toAddZeroClass", "AddMonoid.toNSMul", "WithAbs.ofAbs", "AddMonoid.mk", "AddZeroClass.toAddZero", "Equiv.mk", "PartialO...
false
_private.Lean.Meta.Tactic.AC.Main.0.Lean.Meta.AC.abstractAtoms.match_1.splitter
Lean.Meta.Tactic.AC.Main
[ "Option.some", "Lean.Expr", "Option.none", "Unit", "_private.Lean.Meta.Tactic.AC.Main.0.Lean.Meta.AC.abstractAtoms.match_1", "Option" ]
true
TopCat.Presheaf.germ
Mathlib.Topology.Sheaves.Stalks
[ "TopCat.Presheaf.germ._proof_1", "CategoryTheory.Functor.op", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "TopologicalSpace.Opens.instPartialOrder", "PartialOrder.toPreorder", "CategoryTheory.Functor.comp", "TopologicalSpace.Opens", "Membership.mem", "TopCat.Presheaf", ...
true
Valuation.RankOne.ofRankLeOneStruct._proof_3
Mathlib.RingTheory.Valuation.RankOne
[ "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "CommRing", "ValuativeRel.instIsNontrivialOfIsNontrivialOfCompatible", "ValuativeRel.IsNontrivial", "ValuativeRel.instCompatibleValueGroupWithZeroValuation", "Valuation.IsNontrivial", "ValuativeRel", "ValuativeRel.valuation", "CommR...
false
_private.Mathlib.Algebra.Order.ToIntervalMod.0.QuotientAddGroup.circularPreorder._simp_6
Mathlib.Algebra.Order.ToIntervalMod
[ "QuotientAddGroup.instBtwQuotientAddSubgroupZmultiples", "Preorder.toLT", "AddCommGroup.toAddCommMonoid", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "AddCommGroup.toAddGroup", "SemilatticeInf.toPartialOrder", "Fact", "AddCommGroup", "DistribLattice.toLattice", "QuotientAddGroup...
false
Int.sub_le_sub_left_iff
Init.Data.Int.Order
[ "HSub.hSub", "Int.le_of_sub_le_sub_left", "Int", "LE.le", "Iff", "instHSub", "Iff.intro", "Int.instSub", "Int.sub_le_sub_left", "Int.instLEInt" ]
true
CompositionAsSet.toComposition_length
Mathlib.Combinatorics.Enumerative.Composition
[ "Composition.length", "congrArg", "CompositionAsSet", "Nat", "True", "eq_self", "of_eq_true", "congrFun'", "CompositionAsSet.toComposition", "Eq", "CompositionAsSet.length", "Eq.trans", "CompositionAsSet.blocks_length" ]
true
_private.Mathlib.RingTheory.DedekindDomain.Factorization.0.IsDedekindDomain.exists_add_spanSingleton_mul_eq._simp_1_7
Mathlib.RingTheory.DedekindDomain.Factorization
[ "Nontrivial", "False", "eq_false", "Membership.mem", "nonZeroDivisors", "Subtype", "MulZeroOneClass.toMulOneClass", "MonoidWithZero", "MonoidWithZero.toMulZeroOneClass", "nonZeroDivisors.coe_ne_zero", "Zero.toOfNat0", "Submonoid.instSetLike", "MulZeroOneClass.toMulZeroClass", "OfNat.ofNat"...
false
Std.DHashMap.Internal.Raw₀.Const.insertListₘ._sunfold
Std.Data.DHashMap.Internal.Model
[ "Std.DHashMap.Internal.Raw₀.Const.insertListₘ.match_1", "Prod.fst", "List", "Unit", "Std.DHashMap.Internal.Raw₀.insert", "Std.DHashMap.Internal.Raw₀.Const.insertListₘ", "Hashable", "Prod", "BEq", "Prod.snd", "Std.DHashMap.Internal.Raw₀" ]
false