name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
Lean.MVarId.refl
Lean.Meta.Tactic.Refl
[ "Lean.instantiateMVars", "Lean.MessageData", "Lean.MVarId.withContext", "Lean.MVarId.checkNotAssigned", "Lean.Expr.isAppOfArity", "Lean.MVarId.getType'", "instMonadControlTOfPure", "String", "Lean.MVarId.assign", "Lean.Meta.State", "Lean.MessageData.instAppend", "Lean.Expr.appArg!", "Option....
true
_private.Mathlib.NumberTheory.FLT.Three.0.FermatLastTheoremForThreeGen.Solution.u₄.congr_simp
Mathlib.NumberTheory.FLT.Three
[ "NumberField.instCommRingRingOfIntegers", "Rat", "_private.Mathlib.NumberTheory.FLT.Three.0.FermatLastTheoremForThreeGen.Solution", "Field.toDivisionRing", "Units", "Eq.rec", "Set.instSingletonSet", "instOfNatNat", "_private.Mathlib.NumberTheory.FLT.Three.0.FermatLastTheoremForThreeGen.Solution.u₄",...
true
CategoryTheory.MonoOver.mapIso_unitIso
Mathlib.CategoryTheory.Subobject.MonoOver
[ "CategoryTheory.Over", "CategoryTheory.Functor", "CategoryTheory.Equivalence.unitIso", "CategoryTheory.Functor.category", "CategoryTheory.eqToIso", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.id", "CategoryTheory.CategoryStruct.id", "CategoryTheory.MonoOver.mapIso._proof_6", "CategoryTh...
true
NormedAddCommGroup.nhds_zero_basis_norm_lt
Mathlib.Analysis.Normed.Group.Basic
[ "AddGroup.toSubtractionMonoid", "Norm.norm", "SeminormedAddGroup.toNorm", "Real", "SeminormedAddGroup.toAddGroup", "Real.instZero", "SeminormedAddGroup", "setOf", "PseudoMetricSpace.toUniformSpace", "Real.instLT", "nhds", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroCla...
true
Int.decEq.match_1
Init.Data.Int.Basic
[ "Decidable.isTrue", "Decidable.casesOn", "Decidable", "Nat", "Decidable.isFalse", "Eq", "Not" ]
false
Std.ExtDTreeMap.self_le_maxKeyD_insertIfNew
Std.Data.ExtDTreeMap.Lemmas
[ "Std.DTreeMap", "Ordering", "Std.TransCmp", "Std.ExtDTreeMap.insertIfNew", "Bool.true", "Std.ExtDTreeMap.maxKeyD", "Std.ExtDTreeMap.inductionOn", "Std.ExtDTreeMap", "Bool", "Ordering.isLE", "Eq", "Std.DTreeMap.self_le_maxKeyD_insertIfNew" ]
true
HahnSeries.instRatCast
Mathlib.RingTheory.HahnSeries.Multiplication
[ "ZeroHom.funLike", "Rat", "HahnSeries.single", "PartialOrder", "HahnSeries.instZero", "Rat.cast", "ZeroHom", "RatCast", "Zero.toOfNat0", "RatCast.mk", "OfNat.ofNat", "HahnSeries", "DFunLike.coe", "Zero" ]
true
AlgebraicGeometry.Proj.basicOpenIsoSpec_hom
Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Basic
[ "SetLike", "AlgebraicGeometry.Spec", "CommRing", "AlgebraicGeometry.Scheme", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AddGroupWithOne.toAddGroup", "CommSemiring.toSemiring", "HomogeneousLocalization.homogeneousLocalizationCommRing", "AlgebraicGeometry.Proj", "Nat.instAddMonoid", ...
true
Polynomial.prime_C_iff
Mathlib.RingTheory.Polynomial.Basic
[ "Eq.mpr", "Polynomial.C", "RingHom.instRingHomClass", "CommRing", "Dvd.dvd", "HMul.hMul", "Set.image_singleton", "MulZeroClass.toMul", "Polynomial.eval_C", "congrArg", "CommSemiring.toSemiring", "Polynomial.C_eq_zero", "semigroupDvd", "Prime", "IsUnit", "RingHom", "CommSemiring.toCom...
true
AlgebraicGeometry.Scheme.IsGermInjectiveAt.casesOn
Mathlib.AlgebraicGeometry.SpreadingOut
[ "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "Opposite", "CommRingCat.carrier", "AlgebraicGeometry.PresheafedSpace.carrier", "TopologicalSpace.Opens.instPartialOrder", "CommSemiring.toSemiring", "CategoryTheory.ConcreteCategory.hom", "CommRingCat",...
false
_private.Mathlib.Probability.Kernel.Proper.0.ProbabilityTheory.Kernel.IsProper.lintegral_mul._simp_1_1
Mathlib.Probability.Kernel.Proper
[ "MulOne.toOne", "instHSMul", "instSMulOfMul", "MulZeroClass.toMul", "Set.indicator", "Set.smul_indicator_one_apply", "MulZeroOneClass", "MulZeroOneClass.toMulOneClass", "MulOneClass.toMulOne", "Pi.instOne", "One.toOfNat1", "HSMul.hSMul", "MulZeroOneClass.toMulZeroClass", "OfNat.ofNat", "...
false
_private.Std.Data.DTreeMap.Internal.Operations.0.Std.DTreeMap.Internal.Impl.minView._proof_22
Std.Data.DTreeMap.Internal.Operations
[ "Std.DTreeMap.Internal.Impl.Balanced", "Std.DTreeMap.Internal.Impl.size", "Std.DTreeMap.Internal.Impl.inner", "instHAdd", "Std.DTreeMap.Internal.Impl.balanced_balanceRErase._simp_1", "Std.DTreeMap.Internal.Impl.BalancedAtRoot", "HAdd.hAdd", "Nat", "Std.DTreeMap.Internal.Impl.minView._proof_15", "o...
false
Equiv.instAssociativeCoeForallForallArrowCongr
Mathlib.Logic.Equiv.Basic
[ "Equiv.instEquivLike", "Equiv.conj", "Equiv.arrowCongr", "Function.Semiconj₂.isAssociative_right", "Equiv", "Equiv.semiconj₂_conj", "Equiv.surjective", "DFunLike.coe", "Std.Associative", "EquivLike.toFunLike" ]
true
Lean.Doc.Parser.UnorderedListType.ctorElim
Lean.DocString.Parser
[ "Lean.Doc.Parser.UnorderedListType.casesOn", "Lean.Doc.Parser.UnorderedListType.ctorIdx", "Lean.Doc.Parser.UnorderedListType.ctorElimType", "Lean.Doc.Parser.UnorderedListType.plus", "Lean.Doc.Parser.UnorderedListType.asterisk", "Nat", "Eq.ndrec", "Lean.Doc.Parser.UnorderedListType", "PULift.down", ...
false
SchauderBasis.range_proj_eq_span
Mathlib.Analysis.Normed.Module.Bases
[ "Eq.mpr", "Submodule", "RingHomSurjective.ids", "NormedSpace", "congrArg", "AddCommGroup.toAddCommMonoid", "Finset", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "SchauderBasis.proj", "Nat.instLocallyFiniteOrder", "NormedField.toField", "LinearMap.range", "SummationFilter.co...
true
AddSubgroup.inf_normalizer_le_normalizer_inf
Mathlib.Algebra.Group.Subgroup.Basic
[ "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "AddSubgroup.instPartialOrder", "Preorder.toLE", "Membership.mem", "AddZeroClass.toAddZero", "AddSubgroup.normalizer", "AddSubmonoid", "SubtractionMonoid.toSubNegZeroMonoid", "LE.le", ...
true
Lean.Elab.Command.Structure.StructFieldKind.isParent
Lean.Elab.Structure
[ "Lean.Elab.Command.Structure.StructFieldKind", "Bool.true", "Bool", "Lean.Name", "Bool.false", "_private.Lean.Elab.Structure.0.Lean.Elab.Command.Structure.StructFieldKind.isParent.match_1" ]
true
_private.Std.Data.Internal.List.Associative.0.Std.Internal.List.keys.eq_2
Std.Data.Internal.List.Associative
[ "List.cons", "List", "Eq.refl", "Sigma.mk", "Std.Internal.List.keys", "Eq", "Sigma" ]
true
instULiftableContTULift
Mathlib.Control.ULiftable
[ "ULift", "Equiv.ulift", "Equiv.symm", "ContT", "ULiftable", "ContT.uliftable'" ]
true
_private.Lean.Meta.Tactic.Grind.EMatch.0.Lean.Meta.Grind.EMatch.checkSize.go._unsafe_rec
Lean.Meta.Tactic.Grind.EMatch
[ "guard", "Pure.pure", "OptionT.instMonad", "Unit.unit", "OptionT", "_private.Lean.Meta.Tactic.Grind.EMatch.0.Lean.Meta.Grind.EMatch.checkSize.go._unsafe_rec", "Bool.not", "Std.Rio.instForIn'InferInstanceMembershipOfLawfulUpwardEnumerableOfLawfulUpwardEnumerableLTOfLawfulUpwardEnumerableLeast?OfMonadOf...
false
Algebra.PreSubmersivePresentation.ofHasCoeffs._proof_3
Mathlib.RingTheory.Extension.Presentation.Core
[ "Algebra.Presentation.relationOfHasCoeffs", "Algebra.Presentation.HasCoeffs", "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "CommRing", "AddMonoidAlgebra.commRing", "CommSemiring.toSemiring", "Ideal.Quotient.mk", "IsScalarTower", "Finsupp.instAddMonoid", "Algebra", "Nat.instAddMonoid", ...
false
GaloisConnection._to_dual_cast_4
Mathlib.Order.GaloisConnection.Defs
[ "Preorder.toLE", "LE.le", "Iff", "GaloisConnection._proof_3", "Eq", "Preorder", "GaloisConnection" ]
false
ModularGroup.det_coe
Mathlib.Analysis.Complex.UpperHalfPlane.MoebiusAction
[ "Units.val", "Real", "Matrix.SpecialLinearGroup", "MonoidHom.instFunLike", "MonoidHom", "Monoid.toMulOneClass", "congrArg", "CommSemiring.toSemiring", "Matrix", "instDecidableEqFin", "AddGroupWithOne.toAddMonoidWithOne", "Matrix.SpecialLinearGroup.det_coe", "Membership.mem", "Units", "Su...
true
RankCondition.mk._flat_ctor
Mathlib.LinearAlgebra.InvariantBasisNumber
[ "Pi.Function.module", "Semiring.toModule", "Pi.addCommMonoid", "LinearMap.instFunLike", "RankCondition", "LE.le", "instLENat", "LinearMap", "NonUnitalNonAssocSemiring.toAddCommMonoid", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "Nat", "Semiring", "Fin", "RingHom.id", "Semiring.toNon...
false
NumberField.isTotallyReal_top_iff._simp_1
Mathlib.NumberTheory.NumberField.InfinitePlace.TotallyRealComplex
[ "NumberField.isTotallyReal_top_iff", "Membership.mem", "Field.toDivisionRing", "Subtype", "Subfield.instTop", "NumberField.IsTotallyReal", "Subfield.instSetLike", "Subfield.toField", "propext", "Subfield", "Top.top", "Eq", "Field", "SetLike.instMembership" ]
false
MeasureTheory.ae_eq_zero_of_forall_setIntegral_eq_of_sigmaFinite
Mathlib.MeasureTheory.Function.AEEqOfIntegral
[ "MeasureTheory.ae", "Eq.mpr", "Real", "MeasureTheory.Measure", "Preorder.toLT", "CompleteSpace", "MeasurableSet", "NormedSpace", "MeasureTheory.measure_spanningSets_lt_top", "congrArg", "Set.univ", "MeasureTheory.SigmaFinite", "Filter.Eventually", "PartialOrder.toPreorder", "setOf", "P...
true
lt_mul_left
Mathlib.Algebra.Order.GroupWithZero.Unbundled.Basic
[ "MulOne.toOne", "Preorder.toLT", "HMul.hMul", "MulZeroClass.toMul", "congrArg", "PartialOrder.toPreorder", "PartialOrder", "Eq.mp", "mul_lt_mul_of_pos_right", "MulZeroOneClass.toMulOneClass", "MulPosStrictMono", "MulOneClass.toMulOne", "MonoidWithZero", "MonoidWithZero.toMulZeroOneClass", ...
true
_private.Mathlib.Analysis.Normed.Module.Basic.0.PseudoMetricSpace.ofSeminormedSpaceCore._abel_5
Mathlib.Analysis.Normed.Module.Basic
[ "Mathlib.Tactic.Abel.const_add_termg", "Mathlib.Tactic.Abel.term_atomg", "NegZeroClass.toNeg", "Mathlib.Meta.NormNum.instAddMonoidWithOne", "Mathlib.Tactic.Abel.zero_termg", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "AddGroupWithOne.toAddMonoidWithOne", "Mathlib.Tactic.Abel.term_ne...
false
CompareReals.instInhabitedBourbakiℝ._aux_1
Mathlib.Topology.UniformSpace.CompareReals
[ "CompareReals.instInhabitedQ", "CompareReals.Q", "CompareReals.Bourbakiℝ", "UniformSpace.Completion.inhabited._aux_1", "CompareReals.uniformSpace" ]
false
_private.Lean.Meta.Tactic.Simp.Main.0.Lean.Meta.Simp.doNotVisitOfScientific
Lean.Meta.Tactic.Simp.Main
[ "Lean.Meta.Simp.DSimproc", "_private.Lean.Meta.Tactic.Simp.Main.0.Lean.Meta.Simp.doNotVisit", "Lean.Name.mkStr2", "Lean.Meta.Simp.isOfScientificLit" ]
true
Lean.Meta.Grind.Arith.Cutsat.LeCnstrProof.combine.inj
Lean.Meta.Tactic.Grind.Arith.Cutsat.Types
[ "Lean.Meta.Grind.Arith.Cutsat.LeCnstrProof.combine", "Lean.Meta.Grind.Arith.Cutsat.LeCnstrProof.combine.noConfusion", "And", "Lean.Meta.Grind.Arith.Cutsat.LeCnstr", "And.intro", "Eq", "Lean.Meta.Grind.Arith.Cutsat.LeCnstrProof" ]
true
_private.Mathlib.RingTheory.Ideal.Colon.0.Submodule.bot_colon'._simp_1_1
Mathlib.RingTheory.Ideal.Colon
[ "Submodule", "Submodule.colon", "instHSMul", "Semiring.toModule", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "Membership.mem", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "Ideal", "AddCommMonoid", "NonUnitalNonAssocSemiring.toAddCommMonoid", "AddZero.toZero", ...
false
Lean.MetavarContext.LevelMVarToParam.Context.mk.noConfusion
Lean.MetavarContext
[ "Lean.MetavarContext.LevelMVarToParam.Context.noConfusion", "id", "Lean.MetavarContext.LevelMVarToParam.Context", "Bool", "Lean.Name", "Eq", "Lean.LMVarId", "Lean.MetavarContext.LevelMVarToParam.Context.mk" ]
false
WittVector.truncate_liftFun
Mathlib.RingTheory.WittVector.Truncated
[ "Eq.mpr", "TruncatedWittVector.coeff", "CommRing", "Nat.Prime", "TruncatedWittVector.ext", "congrArg", "WittVector.instCommRing", "CommSemiring.toSemiring", "Fin.castLE", "RingHom", "TruncatedWittVector.instCommRing", "Fact", "Eq.rec", "Fin.is_lt", "id", "instOfNatNat", "LE.le", "W...
true
AffineMap.map_vectorSpan
Mathlib.LinearAlgebra.AffineSpace.AffineSubspace.Basic
[ "Submodule", "RingHomSurjective.ids", "AffineMap.instFunLike", "vectorSpan", "Set.vsub", "congrArg", "AddCommGroup.toAddCommMonoid", "LinearMap.instFunLike", "AddCommGroup.toAddGroup", "AddCommGroup", "AffineMap", "LinearMap", "AddTorsor.toVSub", "VSub.vsub", "True", "AffineMap.linear"...
true
ZMod.natCast_toNat
Mathlib.Data.ZMod.Basic
[ "Int.cast", "Int.cast_natCast", "False", "ZMod.commRing", "congrArg", "False.elim", "AddGroupWithOne.toAddMonoidWithOne", "Eq.mp", "AddMonoidWithOne.toNatCast", "Int", "AddGroupWithOne.toIntCast", "LE.le", "Nat.cast", "ZMod", "Int.negSucc_not_nonneg._simp_1", "instOfNat", "Nat", "T...
true
_private.Mathlib.Analysis.CStarAlgebra.Extreme.0.isStarProjection_iff_mem_extremePoints_setOf_nonneg_inter_unitClosedBall.match_1_5
Mathlib.Analysis.CStarAlgebra.Extreme
[ "NonAssocSemiring.toAddCommMonoidWithOne", "Real.partialOrder", "Real", "instHSMul", "Preorder.toLT", "NonUnitalCStarAlgebra.toNonUnitalNormedRing", "DistribMulAction.toDistribSMul", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "NonUnitalNonAssocRing.toAddCommGroup", "PartialOrder.toPreor...
false
OrthonormalBasis.span._proof_2
Mathlib.Analysis.InnerProductSpace.PiL2
[ "NormedCommRing.toNormedRing", "Eq.mpr", "InnerProductSpace.toNormedSpace", "Submodule", "NormedRing.toRing", "congrArg", "AddCommGroup.toAddCommMonoid", "Finset", "NormedSpace.toModule", "Function.comp", "Membership.mem", "NormedField.toField", "Finset.coe_image", "Set.Elem", "id", "S...
false
HahnSeries.orderTop_le_orderTop_smul
Mathlib.RingTheory.HahnSeries.Addition
[ "instHSMul", "SMulZeroClass", "WithTop.instPreorder", "LinearOrder", "HahnSeries.orderTop", "PartialOrder.toPreorder", "Preorder.toLE", "le_of_not_gt", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "LE.le", "HahnSeries.instSMul", "HSMul.hSMul", "WithTop.linearOrder", "Hahn...
true
ContDiffMapSupportedIn.seminorm._proof_4
Mathlib.Analysis.Distribution.ContDiffMapSupportedIn
[ "Real", "PseudoMetricSpace.toBornology", "NormedSpace", "Real.denselyNormedField", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "ContinuousMultilinearMap.seminormedAddCommGroup'", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "ContinuousMul...
false
Lean.Elab.Term.getLevelNames
Lean.Elab.Term.TermElabM
[ "Pure.pure", "Lean.Core.instMonadLiftIOCoreM", "Lean.Elab.Term.instMonadTermElabM", "IO.instMonadLiftSTRealWorldBaseIO", "Lean.Meta.State", "instMonadLiftT", "MonadState.get", "IO", "Lean.Elab.Term.State.levelNames", "StateRefT'.instMonadStateOfOfMonadLiftTST", "Lean.Meta.MetaM", "IO.RealWorld...
true
_private.Mathlib.Analysis.InnerProductSpace.Basic.0.inner_sum_smul_sum_smul_of_sum_eq_zero._simp_1_3
Mathlib.Analysis.InnerProductSpace.Basic
[ "HMul.hMul", "Finset", "NonUnitalNonAssocSemiring.toAddCommMonoid", "Distrib.toMul", "NonUnitalNonAssocSemiring.toDistrib", "NonUnitalNonAssocSemiring", "Eq.symm", "Eq", "Finset.sum", "Finset.sum_mul", "instHMul" ]
false
CoalgEquiv.symm._proof_4
Mathlib.RingTheory.Coalgebra.Equiv
[ "CoalgebraStruct", "LinearEquiv.symm", "Function.LeftInverse", "CommSemiring.toSemiring", "CoalgEquiv.toLinearEquiv", "LinearEquiv.left_inv", "LinearMap.toAddHom", "CoalgEquivClass.toCoalgEquiv._proof_1", "AddCommMonoid", "CommSemiring", "LinearEquiv.invFun", "LinearEquiv.toLinearMap", "Ring...
false
CategoryTheory.ShortComplex.RightHomologyData.ofAbelian._proof_6
Mathlib.Algebra.Homology.ShortComplex.Abelian
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.X₁", "CategoryTheory.Limits.cokernel", "CategoryTheory.Abelian", "CategoryTheory.Limits.kernel", "CategoryTheory.Limits.HasCokernels.has_colimit", "CategoryTheory.Limits.HasKernel", "CategoryTheory.Sh...
false
LinearIsometryEquiv.symm_symm
Mathlib.Analysis.Normed.Operator.LinearIsometry
[ "SeminormedAddCommGroup", "LinearIsometryEquiv.symm", "AddCommGroup.toAddCommMonoid", "RingHom", "RingHomInvPair", "SeminormedAddCommGroup.toAddCommGroup", "LinearIsometryEquiv", "Semiring", "Module", "Semiring.toNonAssocSemiring", "Eq", "rfl" ]
true
MeasureTheory.integrable_zero_measure
Mathlib.MeasureTheory.Function.L1Space.Integrable
[ "MeasureTheory.hasFiniteIntegral_zero_measure", "MeasureTheory.Measure", "MeasureTheory.aestronglyMeasurable_zero_measure", "MeasureTheory.Integrable", "MeasureTheory.Measure.instZero", "ContinuousENorm", "MeasurableSpace", "TopologicalSpace", "ContinuousENorm.toENorm", "And.intro", "Zero.toOfNa...
true
Action.FunctorCategoryEquivalence.inverseMonoidal._proof_14
Mathlib.CategoryTheory.Action.Monoidal
[ "CategoryTheory.Equivalence.inverseMonoidal._proof_2", "Monoid", "CategoryTheory.Monoidal.Transported.instMonoidalCategory", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.Equival...
false
CategoryTheory.Pretriangulated.rotCompInvRot_hom_app_hom₃
Mathlib.CategoryTheory.Triangulated.Rotate
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.Additive", "CategoryTheory.Pretriangulated.Triangle.obj₃", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.shiftFunctor", "CategoryTheory.Functor.id", "Catego...
true
_private.Mathlib.Algebra.Group.Subgroup.Ker.0.MonoidHom.restrict_range._simp_1_4
Mathlib.Algebra.Group.Subgroup.Ker
[ "Exists", "exists_prop", "And", "propext", "Eq" ]
false
AddSubgroup.rank_congr
Mathlib.GroupTheory.Rank
[ "AddSubgroup.toAddGroup", "Membership.mem", "Subtype", "AddSubgroup", "AddGroup", "AddSubgroup.instSetLike", "Nat", "Eq.ndrec", "AddGroup.rank", "Eq.refl", "AddGroup.FG", "Eq", "SetLike.instMembership" ]
true
CategoryTheory.LaxMonoidalFunctor.isoOfComponents._proof_1
Mathlib.CategoryTheory.Monoidal.NaturalTransformation
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.Functor.LaxMonoidal.ε", "CategoryTheory.Iso", "CategoryTheory.Functor.map", "CategoryTheory.LaxMonoidalFunctor.toFunctor", "Catego...
false
Lean.Meta.generalizeIndices
Lean.Meta.Tactic.Cases
[ "Lean.MVarId.withContext", "instMonadControlTOfPure", "Lean.Meta.State", "Option.some", "Lean.MVarId", "Lean.Meta.MetaM", "IO.RealWorld", "Lean.FVarId", "Lean.Meta.generalizeIndices'", "Applicative.toPure", "Lean.FVarId.getDecl", "Lean.Core.CoreM", "Lean.Meta.instMonadMetaM", "StateRefT'",...
true
CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.unitIso._proof_6
Mathlib.CategoryTheory.Monoidal.Internal.FunctorCategory
[ "Eq.mpr", "CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.unitIso._proof_2", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.NatTrans.ext'", "Quiver.Hom", "congrArg", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.Fu...
false
Aesop.checkRootUnprovable
Aesop.Search.Main
[ "Pure.pure", "Aesop.Tree", "Aesop.BaseM", "Aesop.wasMaxRuleApplicationDepthReached", "Lean.MessageData", "Aesop.getTree", "Lean.Core.instMonadLiftIOCoreM", "IO.instMonadLiftSTRealWorldBaseIO", "String", "Aesop.NodeState.isUnprovable", "Aesop.SearchM.instMonad", "Lean.Meta.State", "instMonadL...
true
TwoUniqueSums.recOn
Mathlib.Algebra.Group.UniqueProds.Basic
[ "HMul.hMul", "SProd.sprod", "Finset", "Membership.mem", "Exists", "Ne", "instMulNat", "instOfNatNat", "Prod.fst", "TwoUniqueSums.mk", "TwoUniqueSums.rec", "And", "Finset.instSProd", "Finset.instSetLike", "UniqueAdd", "Nat", "LT.lt", "Finset.card", "TwoUniqueSums", "instLTNat", ...
false
CategoryTheory.Pseudofunctor.mapComp'₀₁₃_hom_app_assoc
Mathlib.CategoryTheory.Bicategory.Strict.Pseudofunctor
[ "CategoryTheory.Category.assoc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Pseudofunctor.mapComp'₀₁₃_hom_app", "CategoryTheory.Functor.comp", "CategoryTheory.Cat.str", "CategoryTheory.Pseudofunctor.mapComp'₀₁₃_hom_comp_whiskerLeft_mapComp'_hom._proof_6", "Eq...
true
_private.Mathlib.GroupTheory.Complement.0.Subgroup.IsComplement.equiv_fst_eq_iff_leftCosetEquivalence._simp_1_2
Mathlib.GroupTheory.Complement
[ "Semigroup", "Semigroup.toMul", "HMul.hMul", "mul_assoc", "Eq.symm", "Eq", "instHMul" ]
false
CategoryTheory.WithTerminal.map_map
Mathlib.CategoryTheory.WithTerminal.Basic
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.WithTerminal.id.match_1", "CategoryTheory.WithTerminal.map", "CategoryTheory.WithTerminal", "CategoryTheory.Functor.map", "CategoryTheory.WithTerminal.of", "Unit", "CategoryTheory.WithTerminal.star", ...
true
_private.Init.Data.String.Defs.0.String.Slice.getUTF8Byte._simp_1
Init.Data.String.Defs
[ "String.instLTRaw", "String.Pos.Raw.lt_iff", "String.Pos.Raw", "Nat", "LT.lt", "propext", "instLTNat", "String.Pos.Raw.byteIdx", "Eq" ]
false
Std.Internal.UV.Loop.Options.mk.sizeOf_spec
Std.Internal.UV.Loop
[ "Std.Internal.UV.Loop.Options.mk", "Std.Internal.UV.Loop.Options", "instOfNatNat", "instHAdd", "Std.Internal.UV.Loop.Options._sizeOf_inst", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "Bool", "instAddNat", "Eq.refl", "OfNat.ofNat", "Bool._sizeOf_inst", "Eq" ]
true
_private.Mathlib.Computability.RegularExpressions.0.RegularExpression.rmatch_iff_matches'._simp_1_2
Mathlib.Computability.RegularExpressions
[ "HMul.hMul", "Membership.mem", "Exists", "instHAppendOfAppend", "List", "And", "Language.mem_mul", "propext", "Language.instMembershipList", "Language.instMul", "List.instAppend", "Language", "Eq", "HAppend.hAppend", "instHMul" ]
false
_private.Mathlib.Analysis.Complex.UpperHalfPlane.FixedPoints.0.UpperHalfPlane.gl_smul_I_eq_I_iff_of_neg._simp_1_2
Mathlib.Analysis.Complex.UpperHalfPlane.FixedPoints
[ "and_comm", "And", "propext", "Eq" ]
false
UInt64.toNat_ofFin
Init.Data.UInt.Lemmas
[ "UInt64.size", "UInt64.toNat", "Fin.val", "Nat", "UInt64.ofFin", "Fin", "Eq", "rfl" ]
true
Std.ExtDHashMap.get_eq_get_get?
Std.Data.ExtDHashMap.Lemmas
[ "Std.ExtDHashMap.inner", "Std.ExtDHashMap.mem_iff_isSome_get?", "Std.ExtDHashMap.instMembershipOfEquivBEqOfLawfulHashable", "instLawfulHashableOfLawfulBEq", "Std.DHashMap.get_eq_get_get?", "Quot.pliftOn._proof_2", "LawfulBEq", "Membership.mem", "Std.ExtDHashMap.inductionOn", "Std.ExtDHashMap.mk", ...
true
Cardinal.power_one
Mathlib.SetTheory.Cardinal.Defs
[ "Cardinal.instOne", "Cardinal.instPowCardinal", "Cardinal", "Fin.instUnique", "ULift", "instOfNatNat", "HPow.hPow", "Nat", "One.toOfNat1", "ULift.instUnique", "Equiv.funUnique", "instHPow", "Cardinal.inductionOn", "OfNat.ofNat", "Fin", "Eq", "Cardinal.mk_congr" ]
true
instCompactSpaceQuotientIdeal
Mathlib.Topology.Algebra.Ring.Ideal
[ "Quotient.compactSpace", "CommRing", "Semiring.toModule", "CommSemiring.toSemiring", "Ideal", "CompactSpace", "TopologicalSpace", "HasQuotient.Quotient", "CommRing.toCommSemiring", "Ring.toAddCommGroup", "Submodule.quotientRel", "CommRing.toRing", "topologicalRingQuotientTopology", "Ring.t...
true
CategoryTheory.ShortComplex.RightHomologyData.homologyIso_rightHomologyData
Mathlib.Algebra.Homology.ShortComplex.Homology
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.ShortComplex.rightHomologyMapIso'", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.ShortComplex.rightHomology", "Quiver.Hom", "congrArg", "CategoryTheory.ShortComplex.rightHomologyMap'_id", "CategoryTheory.ShortComplex", "CategoryT...
true
CategoryTheory.LocalizerMorphism.LeftResolution.instCategory._proof_6
Mathlib.CategoryTheory.Localization.Resolution
[ "CategoryTheory.MorphismProperty", "CategoryTheory.Category.assoc", "CategoryTheory.LocalizerMorphism.LeftResolution", "CategoryTheory.LocalizerMorphism.LeftResolution.Hom", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.LocalizerMorphism.LeftResolution.X₁", "Cat...
false
AlgebraicGeometry.GeometricallyIntegral.eq_geometricallyReduced_inf_geometricallyIrreducible
Mathlib.AlgebraicGeometry.Geometrically.Integral
[ "AlgebraicGeometry.IsIntegral", "Eq.mpr", "CategoryTheory.MorphismProperty", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MorphismP...
true
CategoryTheory.Limits.Cocone.extendId
Mathlib.CategoryTheory.Limits.Cones
[ "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone.extend", "CategoryTheory.Limits.Cocone", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Iso.refl", "CategoryTheory.Iso", "CategoryTheory.Limits.Cocone.category", "CategoryTheory.Limits.Cocone.ext_inv", "CategoryTheory.Category.toCategorySt...
true
List.cyclicPermutations.match_1
Mathlib.Data.List.Rotate
[ "Unit.unit", "namedPattern", "List.cons", "List", "Unit", "List.casesOn", "Eq.refl", "Eq", "List.nil" ]
false
Std.IterStep.yield.sizeOf_spec
Init.Data.Iterators.Basic
[ "Std.IterStep", "instOfNatNat", "Std.IterStep._sizeOf_inst", "instHAdd", "HAdd.hAdd", "Std.IterStep.yield", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "SizeOf", "OfNat.ofNat", "Eq" ]
true
HomotopicalAlgebra.Precylinder.map_i₁
Mathlib.AlgebraicTopology.ModelCategory.Cylinder
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HomotopicalAlgebra.Precylinder.map", "HomotopicalAlgebra.Precylinder.I", "HomotopicalAlgebra.Precylinder.i₁", "CategoryTheory.Functor.map", "HomotopicalAlgebra.Precylinder", "Eq.refl", "CategoryTheory.Category.toCat...
true
Std.Time.Internal.Bounded.LE.ofFin'._proof_1
Std.Time.Internal.Bounded
[ "Fin.isLt", "GE.ge", "LE.le", "instLENat", "Fin.val", "And", "Nat.le_of_lt_succ", "Nat", "And.intro", "Fin", "Nat.succ" ]
false
RingCon.comap_rel._simp_1
Mathlib.RingTheory.Congruence.Defs
[ "RingCon.instFunLikeForallProp", "RingCon.comap_rel", "Mul", "RingCon", "MulHomClass", "propext", "AddHomClass", "Eq", "DFunLike.coe", "Add", "FunLike", "RingCon.comap" ]
false
Meromorphic.Gamma
Mathlib.Analysis.Meromorphic.Complex
[ "InnerProductSpace.toNormedSpace", "Meromorphic", "Complex.instNormedAddCommGroup", "Set.univ", "meromorphicOn_univ", "Complex.Gamma", "Complex.instDenselyNormedField", "MeromorphicOn", "Complex.instRCLike", "MeromorphicNFOn.Gamma", "Iff.mp", "MeromorphicNFOn.meromorphicOn", "DenselyNormedFi...
true
LinearOrderedAddCommGroupWithTop.toAddCommMonoid
Mathlib.Algebra.Order.AddGroupWithTop
[ "LinearOrderedAddCommGroupWithTop", "AddCommMonoid" ]
true
PointedCone.ofSubmoduleLatticeHom
Mathlib.Geometry.Convex.Cone.Pointed
[ "Submodule", "IsOrderedRing.toPosMulMono", "instSMulOfMul", "IsOrderedRing.toZeroLEOneClass", "IsOrderedRing", "Nonneg.semiring", "Submodule.completeLattice", "PartialOrder.toPreorder", "Preorder.toLE", "PartialOrder", "PointedCone", "Subtype", "LE.le", "PointedCone._proof_1", "AddCommMo...
true
_private.Lean.Elab.Tactic.RCases.0.PSigma.casesOn._arg_pusher
Lean.Elab.Tactic.RCases
[ "PSigma.casesOn", "PSigma.mk", "Eq.refl", "PSigma", "Eq" ]
false
exists_and_right
Init.PropLemmas
[ "congrArg", "Exists", "exists_and_left._simp_1", "iff_self", "funext", "And", "Iff", "_private.Init.PropLemmas.0.exists_and_right._simp_1_1", "congr", "True", "of_eq_true", "Eq.trans" ]
true
Std.Internal.IO.Async.Signal.noConfusion
Std.Internal.Async.Signal
[ "noConfusionEnum", "Std.Internal.IO.Async.Signal.ctorIdx", "Nat", "instDecidableEqNat", "Std.Internal.IO.Async.Signal.noConfusionType", "Std.Internal.IO.Async.Signal", "Eq" ]
false
IsDedekindDomain.selmerGroup
Mathlib.RingTheory.DedekindDomain.SelmerGroup
[ "IsDedekindDomain.selmerGroup._proof_2", "MonoidHom.range", "CommRing", "IsDedekindDomain.HeightOneSpectrum.valuationOfNeZeroMod._proof_1", "MonoidHom.instFunLike", "CommMonoid.toCommSemigroup", "ZMod.commRing", "MonoidHom", "Monoid.toMulOneClass", "Subsemigroup.mk", "CommSemiring.toSemiring", ...
true
_private.Lean.Elab.PreDefinition.TerminationHint.0.Lean.Elab.elabTerminationHints._sparseCasesOn_4
Lean.Elab.PreDefinition.TerminationHint
[ "Nat.ne_of_beq_eq_false", "Option.ctorIdx", "Nat.shiftRight", "Option.some", "Nat.hasNotBit", "Option.rec", "instOfNatNat", "Nat.land", "Option.none", "Nat", "Bool", "Eq.refl", "OfNat.ofNat", "Bool.false", "Option" ]
false
GroupFilterBasis.t2Space_iff
Mathlib.Topology.Algebra.FilterBasis
[ "Eq.mpr", "GroupFilterBasis.nhds_one_eq", "FilterBasis.ker_filter", "InvOneClass.toOne", "DivInvOneMonoid.toInvOneClass", "congrArg", "R0Space.closure_singleton", "Iff.rfl", "closure_eq_iff_isClosed", "Group", "GroupFilterBasis", "Group.toDivisionMonoid", "DivisionMonoid.toDivInvOneMonoid", ...
true
Rat.isUniformEmbedding_coe_real
Mathlib.Topology.Instances.Rat
[ "isUniformEmbedding_comap", "Real.partialOrder", "Real", "IsUniformEmbedding", "Real.instRatCast", "Rat", "PseudoMetricSpace.toUniformSpace", "Rat.cast", "DivisionRing.toRing", "IsStrictOrderedRing.toCharZero", "Real.instDivisionRing", "MetricSpace.toPseudoMetricSpace", "Rat.instMetricSpace"...
true
_aux_Mathlib_Order_Notation___unexpand_HImp_himp_1
Mathlib.Order.Notation
[ "Pure.pure", "cond", "Lean.TSyntax", "Unit.unit", "Lean.MonadRef.mkInfoFromRefPos", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "Lean.PrettyPrinter.UnexpandM", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Syntax.atom", "Lean.TSyntax.mk", "Lean.Syntax", ...
false
finprod_eq_if
Mathlib.Algebra.BigOperators.Finprod
[ "MulOne.toOne", "Monoid.toMulOneClass", "Decidable", "MulOneClass.toMulOne", "finprod", "CommMonoid.toMonoid", "One.toOfNat1", "OfNat.ofNat", "Eq", "CommMonoid", "finprod_eq_dif", "ite" ]
true
TopologicalSpace.IsTopologicalBasis.open_eq_iUnion
Mathlib.Topology.Bases
[ "Eq.mpr", "congrArg", "Set.sUnion_eq_iUnion", "setOf", "Set.sUnion", "Membership.mem", "Exists", "Set.Elem", "id", "HasSubset.Subset", "TopologicalSpace", "And", "And.left", "And.intro", "Exists.intro", "TopologicalSpace.IsTopologicalBasis", "IsOpen", "Eq.symm", "Subtype.val", ...
true
AlgebraicGeometry.ProjectiveSpectrum.Proj.toStalk_stalkMap_toSpec
Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Scheme
[ "SetLike", "CategoryTheory.Functor.op", "Eq.mpr", "AlgebraicGeometry.Spec", "CategoryTheory.Functor", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "CommRing", "Lattice.toSemilatticeSup", "Opposite", "AlgebraicGeometry.ProjectiveSpectrum.Proj.toStalk_stalkMap_toSpec._proof_1...
true
Submodule.closedComplemented_iff_exists_isTopCompl
Mathlib.Topology.Algebra.Module.Complement
[ "Submodule", "AddCommGroup.toAddCommMonoid", "Exists", "AddCommGroup", "Submodule.IsTopCompl", "Submodule.ClosedComplemented", "TopologicalSpace", "Iff", "Iff.intro", "Submodule.IsTopCompl.closedComplemented", "Module", "Submodule.ClosedComplemented.exists_isTopCompl", "Ring.toSemiring", "...
true
SSet.exactAt_chainComplex_of_hasDimensionLT._auto_1
Mathlib.AlgebraicTopology.SimplicialSet.Homology.Nondegenerate
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
IO.eprintln
Init.System.IO
[ "String", "IO", "String.push", "IO.eprint", "ToString.toString", "Unit", "ToString", "instToStringString", "Char.ofNat" ]
true
PrimeSpectrum.primeSpectrumProdOfSum.eq_1
Mathlib.RingTheory.Spectrum.Prime.Basic
[ "PrimeSpectrum.mk", "Prod.instCommSemiring", "Semiring.toModule", "CommSemiring.toSemiring", "Sum.inl", "Submodule.instTop", "Ideal", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "PrimeSpectrum.primeSpectrumProdOfSum", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "Ideal.prod...
true
Std.Sat.AIG.instInhabitedFanin
Std.Sat.AIG.Basic
[ "Inhabited", "Std.Sat.AIG.Fanin", "Std.Sat.AIG.instInhabitedFanin.default", "Inhabited.mk" ]
true
CategoryTheory.PreOneHypercover.IsStronglySheafFor.isSeparatedFor_sieve₁
Mathlib.CategoryTheory.Sites.Hypercover.SheafOfTypes
[ "CategoryTheory.Functor", "CategoryTheory.PreZeroHypercover.f", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.PreOneHypercover", "CategoryTheory.PreOneHypercover.toPreZeroHypercover", "CategoryTheory.Presieve.IsSeparatedFor", "CategoryTheory.Sieve.arrows", "Ca...
true
SymmetricAlgebra.IsSymmetricAlgebra.mvPolynomial
Mathlib.LinearAlgebra.SymmetricAlgebra.Basis
[ "Pi.Function.module", "NonAssocSemiring.toAddCommMonoidWithOne", "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "Algebra.to_smulCommClass", "TensorAlgebra.SymRel", "Semiring.toModule", "Pi.addCommMonoid", "SymmetricAlgebra", "CommSemiring.toSemiring", "instDistribSMul", "AddMonoidAlgebra...
true
HomologicalComplex.cylinder.desc.eq_1
Mathlib.Algebra.Homology.HomotopyCofiber
[ "HomologicalComplex.instCategory", "HomologicalComplex.homotopyCofiber.desc", "Homotopy.ofEq", "Equiv.instEquivLike", "HomologicalComplex.cylinder.desc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.biprod.desc", "DecidableRel", "HSub.hSub", "HomologicalComplex....
true
Submodule.restrictScalars_image_smul_eq
Mathlib.Algebra.Algebra.Operations
[ "Iff.mpr", "Finsupp.instFunLike", "Eq.mpr", "Submodule", "Submodule.addSubmonoidClass", "instHSMul", "AddSubmonoidClass.toAddMemClass", "instSMulOfMul", "Algebra.algebraMap", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "Finset", "IsScalarTower", "Submodule.ad...
true
Lean.Elab.Tactic.BVDecide.Frontend.Result._sizeOf_1
Lean.Elab.Tactic.BVDecide.Frontend.BVDecide
[ "Option._sizeOf_inst", "Lean.Elab.Tactic.BVDecide.Frontend.Result", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "Lean.Elab.Tactic.BVDecide.Frontend.Result.rec", "instAddNat", "String._sizeOf_inst", "Lean.Elab.Tactic.BVDecide.Frontend.LratCert", "OfNat.ofNat", "Option" ]
false
UInt8.decLe
Init.Prelude
[ "UInt8.decLe._aux_1", "Decidable", "LE.le", "UInt8", "instLEUInt8" ]
true