name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
Std.Time.instFormatGenericFormatFormatTypeString
Std.Time.Format.Basic
[ "Std.Time.GenericFormat.string", "Std.Time.Format", "Std.Time.GenericFormat.parseBuilder", "Std.Time.FormatType", "Std.Time.GenericFormat", "Std.Time.Format.mk", "Std.Time.Awareness", "Std.Time.GenericFormat.formatBuilder" ]
true
SimplexCategory.mono_iff_injective
Mathlib.AlgebraicTopology.SimplexCategory.Basic
[ "Eq.mpr", "NonemptyFinLinOrd.of", "CategoryTheory.Limits.fullyFaithful_reflectsLimits", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.Equivalence.full_functor", "Quiver.Hom", "_private.Mathlib.AlgebraicTopology.SimplexCategory.Basic.0.SimplexCategory.mono_iff_injecti...
true
SimpleGraph.IsAcyclic.induce
Mathlib.Combinatorics.SimpleGraph.Acyclic
[ "SimpleGraph.IsAcyclic", "Membership.mem", "Set.Elem", "SimpleGraph", "SimpleGraph.IsAcyclic.of_comap", "Function.Embedding.subtype", "SimpleGraph.induce", "Set.instMembership", "Set" ]
true
AddRightCancelMonoid.recOn
Mathlib.Algebra.Group.Defs
[ "IsRightCancelAdd", "AddMonoid.toAddSemigroup", "AddRightCancelMonoid", "AddSemigroup.toAdd", "AddMonoid", "AddRightCancelMonoid.rec", "AddRightCancelMonoid.mk" ]
false
CategoryTheory.Functor.projective_of_map_projective
Mathlib.CategoryTheory.Preadditive.Projective.Basic
[ "CategoryTheory.Functor.preimage", "CategoryTheory.Functor", "CategoryTheory.Epi", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.PreservesEpimorphisms", "CategoryTheory.Functor.map_epi", "Exists", "CategoryTheory.Projective.mk", "CategoryTheory.Funct...
true
_private.Mathlib.AlgebraicGeometry.Morphisms.Flat.0.AlgebraicGeometry.isIso_pushoutSection_iff._proof_1_1
Mathlib.AlgebraicGeometry.Morphisms.Flat
[ "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "CategoryTheory.Limits.WalkingSpan", "AlgebraicGeometry.Scheme", "CategoryTheory.Limits.hasColimitOfHasColimitsOfShape", "CategoryTheory.IsIso", "Opposite", "CategoryTheory.IsPushout.isoPushout", "AlgebraicGeometry.PresheafedSpace.ca...
false
_private.Init.Data.Range.Polymorphic.IntLemmas.0.Int.getElem?_toArray_rcc_eq_some_iff._simp_1_1
Init.Data.Range.Polymorphic.IntLemmas
[ "eq_comm", "propext", "Eq" ]
false
Std.Time.ZonedDateTime.toRFC822String
Std.Time.Format
[ "String", "Std.Time.ZonedDateTime.toDateTime", "Std.Time.Awareness.any", "Std.Time.ZonedDateTime.timezone", "Std.Time.ZonedDateTime", "Std.Time.Formats.rfc822", "Std.Time.GenericFormat.format" ]
true
_private.Std.Data.Internal.List.Associative.0.Std.Internal.List.getValue?_eq_some_iff_exists_beq_and_mem_toList._simp_1_2
Std.Data.Internal.List.Associative
[ "List.map", "Membership.mem", "Prod.mk", "Sigma.fst", "List", "List.instMembership", "propext", "Std.Internal.List.mem_map_toProd_iff_mem", "Sigma.mk", "Prod", "Eq.symm", "Sigma.snd", "Eq", "Sigma" ]
false
ByteArray.get_extract_aux
Batteries.Data.ByteArray
[ "Eq.mpr", "Nat.sub_min_sub_right", "congrArg", "ByteArray.extract", "Nat.min_le_right", "HSub.hSub", "id", "Nat.add_lt_of_lt_sub'", "instSubNat", "LE.le", "instLENat", "instHAdd", "ByteArray.size_extract", "instHSub", "HAdd.hAdd", "Nat", "LT.lt", "instAddNat", "instLTNat", "Byt...
true
Std.ExtTreeMap.getKey!_insert
Std.Data.ExtTreeMap.Lemmas
[ "instDecidableEqOrdering", "Ordering", "Ordering.eq", "Std.TransCmp", "Std.ExtTreeMap.getKey!", "Std.ExtDTreeMap.getKey!_insert", "Std.ExtTreeMap", "Std.ExtTreeMap.inner", "Inhabited", "Std.ExtTreeMap.insert", "Eq", "ite" ]
true
Unitization.unitsFstOne_mulEquiv_quasiregular._proof_17
Mathlib.Algebra.Algebra.Spectrum.Quasispectrum
[ "Units.val", "NonAssocSemiring.toAddCommMonoidWithOne", "PreQuasiregular.equiv", "MulOne.toOne", "instSMulOfMul", "Equiv.instEquivLike", "HMul.hMul", "Unitization.unitsFstOne_mulEquiv_quasiregular._proof_2", "Monoid.toMulOneClass", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "...
false
ConjClasses.instDecidableEqOfDecidableRelIsConj._aux_1
Mathlib.Algebra.Group.Conj
[ "Monoid", "IsConj.setoid", "DecidableRel", "ConjClasses", "Quotient.decidableEq", "Quotient", "IsConj", "DecidableEq" ]
false
CategoryTheory.ShortComplex.SnakeInput.epi_v₂₃_τ₂
Mathlib.Algebra.Homology.ShortComplex.SnakeLemma
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.ShortComplex.SnakeInput.L₃", "CategoryTheory.Epi", "CategoryTheory.ShortComplex.SnakeInput.L₂", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ShortComplex.SnakeInput.w₁₃_τ₂", "CategoryTheory.ShortComplex.SnakeInput", "...
true
_private.Mathlib.LinearAlgebra.RootSystem.Finite.G2.0.RootPairing.chainTopCoeff_if_one_zero._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
_private.Mathlib.AlgebraicGeometry.Morphisms.Smooth.0.AlgebraicGeometry.instHasRingHomPropertySmoothOfRelativeDimensionLocallyIsStandardSmoothOfRelativeDimension._proof_5
Mathlib.AlgebraicGeometry.Morphisms.Smooth
[ "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "TopologicalSpace.Opens.instPartialOrder", "congrArg", "CommRingCat", "AlgebraicGeometry.Scheme.affine...
false
Real.le_logb_iff_rpow_le
Mathlib.Analysis.SpecialFunctions.Log.Base
[ "Eq.mpr", "Real.instPow", "Real.instLE", "Real", "Real.instZero", "congrArg", "Iff.rfl", "Real.instLT", "id", "_private.Mathlib.Analysis.SpecialFunctions.Log.Base.0.Real.b_pos", "LE.le", "Real.rpow_le_rpow_left_iff", "Real.rpow_logb", "Real.instOne", "Real.logb", "Iff", "HPow.hPow", ...
true
CategoryTheory.ExactFunctor.whiskeringLeft._proof_3
Mathlib.CategoryTheory.Limits.ExactFunctor
[ "CategoryTheory.Functor", "CategoryTheory.ExactFunctor.whiskeringLeft._proof_2", "CategoryTheory.exactFunctor", "CategoryTheory.ExactFunctor.forget", "CategoryTheory.leftExactFunctor", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.ObjectProperty.FullSubcategory.obj"...
false
_private.Mathlib.Analysis.SpecificLimits.Basic.0.ENNReal.tendsto_pow_atTop_nhds_top_iff._simp_1_5
Mathlib.Analysis.SpecificLimits.Basic
[ "Set.Ioi", "Preorder.toLT", "Membership.mem", "Set.mem_Ioi", "LT.lt", "propext", "Eq", "Set.instMembership", "Preorder", "Set" ]
false
CommRingCat.limitCommRing._proof_45
Mathlib.Algebra.Category.Ring.Limits
[ "AddGroup.toSubtractionMonoid", "Semiring.toNatCast", "NegZeroClass.toNeg", "CategoryTheory.Functor", "Equiv.commRing._proof_7", "Mul.mk", "CommRingCat.limitCommRing._proof_26", "CommRingCat.limitCommRing._proof_10", "Equiv.commRing._proof_5", "Function.Injective.addGroupWithOne", "Equiv.instEqu...
false
AddSubmonoid.instCompleteLattice._proof_5
Mathlib.Algebra.Group.Submonoid.Basic
[ "Lattice.toSemilatticeSup", "completeLatticeOfInf", "CompleteLattice.toLattice", "PartialOrder.toPreorder", "AddSubmonoid.instCompleteLattice._proof_1", "Preorder.toLE", "AddSubmonoid", "LE.le", "AddZeroClass", "PartialOrder.le_antisymm", "AddSubmonoid.instInfSet", "SemilatticeSup.toPartialOrd...
false
CategoryTheory.RegularMono.lift'
Mathlib.CategoryTheory.Limits.Shapes.RegularMono
[ "CategoryTheory.Limits.Fork.IsLimit.lift'", "CategoryTheory.Limits.Fork.ofι", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Subtype", "CategoryTheory.RegularMono.left", "CategoryTheory.RegularMono.w", "CategoryTheory.RegularMono.Z", "CategoryTheory.CategoryStruct.comp", "CategoryTheory....
true
Algebra.FormallySmooth.kerCotangentToTensor_injective_iff
Mathlib.RingTheory.Smooth.Basic
[ "RingHom.instRingHomClass", "CommRing", "Algebra.to_smulCommClass", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "instAddCommGroupKaehlerDifferential", "Algebra.algebraMap", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "IsScalarTower", "TensorPro...
true
AlgebraicGeometry.Scheme.Cover.RelativeGluingData.noConfusion
Mathlib.AlgebraicGeometry.RelativeGluing
[ "CategoryTheory.Functor", "AlgebraicGeometry.Scheme", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HEq.refl", "CategoryTheory.Functor.category", "AlgebraicGeometry.Scheme.OpenCover", "AlgebraicGeometry.Scheme.Cover.functorOfLocallyDirected", "CategoryTheory.PreZeroHypercover.I₀", "Alge...
false
Finset.subtype_eq_univ._simp_1
Mathlib.Data.Finset.BooleanAlgebra
[ "Finset.univ", "Finset", "Finset.subtype_eq_univ", "Membership.mem", "Subtype", "Fintype", "Finset.instSetLike", "DecidablePred", "propext", "Finset.subtype", "Eq", "SetLike.instMembership" ]
false
CategoryTheory.Limits.spanCompIso_hom_app_zero
Mathlib.CategoryTheory.Limits.Shapes.Pullback.Cospan
[ "CategoryTheory.Functor", "CategoryTheory.Limits.WalkingSpan", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Limits.spanCompIso", "CategoryTheory.Limits.WalkingPair", "Ca...
true
Set.Ici_inter_Ici
Mathlib.Order.Interval.Set.Basic
[ "Set.ext", "Set.Ici", "congrArg", "Set.mem_inter_iff", "PartialOrder.toPreorder", "setOf", "Preorder.toLE", "Membership.mem", "SemilatticeSup.toMax", "LE.le", "Set.instInter", "Inter.inter", "iff_self", "funext", "sup_le_iff", "And", "Iff", "Max.max", "congr", "True", "propex...
true
Vector.map_id''
Init.Data.Vector.Lemmas
[ "Vector", "congrArg", "id", "Vector.map", "funext", "congrFun", "Nat", "True", "eq_self", "Vector.map_id_fun", "of_eq_true", "congrFun'", "Eq", "Eq.trans" ]
true
Units.mk_val
Mathlib.Algebra.Group.Units.Defs
[ "Monoid", "Units.val", "MulOne.toOne", "HMul.hMul", "Monoid.toMulOneClass", "Units", "MulOne.toMul", "Units.ext", "MulOneClass.toMulOne", "Units.mk", "One.toOfNat1", "OfNat.ofNat", "Eq", "rfl", "instHMul" ]
true
SymbolicDynamics.FullShift.Pattern.condition
Mathlib.Dynamics.SymbolicDynamics.Basic
[ "Inhabited.default", "Finset", "Membership.mem", "SymbolicDynamics.FullShift.Pattern.support", "SymbolicDynamics.FullShift.Pattern.config", "SymbolicDynamics.FullShift.Pattern", "Finset.instSetLike", "Inhabited", "Eq", "Not", "SetLike.instMembership" ]
true
NormedSpace.ofReal_exp_ℝ_ℝ._simp_1
Mathlib.Analysis.Normed.Algebra.Exponential
[ "NormedCommRing.toSeminormedCommRing", "Real", "NormedSpace.exp", "Complex.instNormedField", "IsTopologicalDivisionRing.toIsTopologicalRing", "PseudoMetricSpace.toUniformSpace", "NormedDivisionRing.toDivisionRing", "instIsTopologicalRingReal", "NormedSpace.ofReal_exp_ℝ_ℝ", "Real.instRing", "Norm...
false
_private.Init.Data.List.MinMaxIdx.0.List.maxIdxOn?_cons._simp_1_2
Init.Data.List.MinMaxIdx
[ "LE.le_opposite_iff", "LE.le", "LE", "propext", "Eq", "LE.opposite" ]
false
Mathlib.Meta.NormNum.Result.ofRawInt.match_1
Mathlib.Tactic.NormNum.Result
[ "Mathlib.Meta.NormNum.Result.ofRawNat._sparseCasesOn_1", "Lean.Expr.const", "Lean.Expr", "Nat.hasNotBit", "Lean.Expr.sort", "Lean.Level", "List.cons", "Qq.Quoted", "Lean.Expr.app", "Lean.Level.succ", "Lean.Expr.ctorIdx", "Lean.Name.mkStr1", "List.nil" ]
false
_private.Batteries.Data.Fin.Coding.0.Fin.encodePi.match_1.splitter
Batteries.Data.Fin.Coding
[ "Fin.encodePi.match_1", "Fin.mk", "Nat", "LT.lt", "instLTNat", "Fin" ]
true
NonemptyInterval.toProd_nsmul
Mathlib.Algebra.Order.Interval.Basic
[ "instHSMul", "AddMonoid.toAddZeroClass", "Prod.instSMul", "AddMonoid.toNSMul", "AddLeftMono", "Preorder.toLE", "AddRightMono", "AddZeroClass.toAddZero", "Nat", "AddMonoid", "NonemptyInterval.instNSMul", "AddZero.toAdd", "HSMul.hSMul", "NonemptyInterval.toProd", "Prod", "Eq", "rfl", ...
true
_private.Mathlib.Combinatorics.Additive.VerySmallDoubling.0.Finset.subgroup_strong_bound_right
Mathlib.Combinatorics.Additive.VerySmallDoubling
[ "Int.instAddCommGroup", "Iff.mpr", "Finset.mul_inv_eq_inv_mul_of_doubling_lt_two", "Rat.instOfNat", "Finset.card_inv", "Mathlib.Tactic.Ring.Common.neg_zero", "Eq.mpr", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.Ring.Common.neg_mul", "MulOne.toOne", "Int.of...
true
GroupExtension.IsConj.symm
Mathlib.GroupTheory.GroupExtension.Basic
[ "Eq.mpr", "MonoidHom.instMonoidHomClass", "MulOne.toOne", "Semigroup.toMul", "DivInvMonoid.toInv", "Mathlib.Tactic.Group._zpow_trick_one'", "MonoidHom.instFunLike", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "GroupExtension.Splitting.instFunLike", "HMul.hMul", "_private.Mathlib.GroupTheory...
true
csSup_empty
Mathlib.Order.ConditionallyCompleteLattice.Basic
[ "Lattice.toSemilatticeSup", "OrderBot.toBot", "ConditionallyCompleteLinearOrderBot", "PartialOrder.toPreorder", "Preorder.toLE", "Bot.bot", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", "ConditionallyCompleteLinearOrderBot.toOrderBot", "Set.instEmptyCollection", "Conditionally...
true
CategoryTheory.EnrichedCategory.comp_id
Mathlib.CategoryTheory.Enriched.Basic
[ "CategoryTheory.EnrichedCategory.id", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategoryStruct.rightUnitor", "CategoryTheory.MonoidalCategory", "CategoryTheory.CategoryStruct.id", "CategoryTheory.EnrichedCategor...
true
Polynomial.coeff_monomial
Mathlib.Algebra.Polynomial.Basic
[ "Finsupp.instFunLike", "Semiring.toModule", "Polynomial.toFinsupp", "Polynomial.toFinsupp_monomial", "congrArg", "LinearMap.instFunLike", "Polynomial.monomial", "LinearMap.toAddHom", "LinearMap", "Polynomial", "Polynomial.coeff", "NonUnitalNonAssocSemiring.toAddCommMonoid", "NonAssocSemiring...
true
Equiv.piCongrLeft_preimage_univ_pi
Mathlib.Data.Set.Prod
[ "Set.image_univ", "Equiv.instEquivLike", "congrArg", "Set.univ", "Equiv.piCongrLeft_preimage_pi", "Eq.mp", "Equiv", "Equiv.piCongrLeft", "Function.Surjective.range_eq", "Set.preimage", "Set.image", "congrFun'", "Set.pi", "Equiv.surjective", "Set.range", "Eq", "DFunLike.coe", "Eq.tr...
true
Zsqrtd.lift._proof_7
Mathlib.NumberTheory.Zsqrtd.Basic
[ "AddGroup.toSubtractionMonoid", "Int.cast", "MulOne.toOne", "CommRing", "RingHom.mk", "Zsqrtd.re", "HMul.hMul", "AddGroupWithOne.toAddGroup", "congrArg", "CommSemiring.toSemiring", "Int.cast_zero", "OneHom.mk", "AddMonoid.toAddZeroClass", "Zsqrtd.hom_ext", "AddGroupWithOne.toAddMonoidWit...
false
_private.Init.Data.Int.DivMod.Lemmas.0.Int.emod_sub_cancel_left._simp_1_4
Init.Data.Int.DivMod.Lemmas
[ "Dvd.dvd", "Int.instNegInt", "Int", "Int.instDvd", "Int.dvd_neg", "propext", "Eq", "Neg.neg" ]
false
Tactic.ComputeAsymptotics.Monomial.inv_length
Mathlib.Tactic.ComputeAsymptotics.Multiseries.Monomial.Basic
[ "Tactic.ComputeAsymptotics.Monomial", "Real", "Tactic.ComputeAsymptotics.Monomial.unit", "congrArg", "Tactic.ComputeAsymptotics.UnitMonomial.inv_length", "Tactic.ComputeAsymptotics.Monomial.inv", "Nat", "True", "eq_self", "of_eq_true", "congrFun'", "Eq", "List.length", "Eq.trans" ]
true
_private.Mathlib.RingTheory.Length.0.Module.length_of_free._simp_1_1
Mathlib.RingTheory.Length
[ "ENat.card_eq_zero_iff_empty", "CommSemiring.toSemiring", "IsEmpty", "ENat", "propext", "instCommSemiringENat", "Zero.toOfNat0", "OfNat.ofNat", "ENat.card", "Eq", "MulZeroClass.toZero", "instMulZeroClassOfSemiring" ]
false
Lean.Widget.InteractiveGoal.mk.injEq
Lean.Widget.InteractiveGoal
[ "Lean.Widget.InteractiveGoalCore", "Eq.propIntro", "String", "Lean.injEq_helper", "Lean.MVarId", "And", "Lean.Widget.InteractiveGoal.mk.inj", "Bool", "Eq.ndrec", "Eq.refl", "Lean.Widget.InteractiveGoal", "Eq", "Lean.Widget.InteractiveGoal.mk", "Option" ]
true
Real.volume_pi_Ioo_toReal
Mathlib.MeasureTheory.Measure.Lebesgue.Basic
[ "Iff.mpr", "AddGroup.toSubtractionMonoid", "Real.instLE", "Real", "MeasureTheory.Measure", "Finset.univ", "ENNReal.ofReal", "congrArg", "Finset", "Real.instSub", "Set.univ", "covariant_swap_add_of_covariant_add", "MeasureTheory.MeasureSpace.toMeasurableSpace", "HSub.hSub", "Membership.me...
true
CategoryTheory.Adjunction.leftAdjointUniq_hom_counit_assoc
Mathlib.CategoryTheory.Adjunction.Unique
[ "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Adjunction.leftAdjointUniq", "CategoryTheory.Functor.comp", "CategoryTheory.Adjunction.leftAdjointUniq_hom_counit", "Cat...
true
_private.Mathlib.RingTheory.Extension.Cotangent.Basis.0.Algebra.Generators.PresentationOfFreeCotangent.Aux.cotangentEquivProd._proof_1
Mathlib.RingTheory.Extension.Cotangent.Basis
[ "CommRing", "Algebra.to_smulCommClass", "Algebra.Extension.commRing", "Semiring.toModule", "instSMulOfMul", "Algebra.Extension.instModuleCotangent", "Algebra.Extension.ker", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Algebra", "Algebra.toSMul", "Function.comp", "Membership.m...
false
LinearMap.dualMap
Mathlib.LinearAlgebra.Dual.Defs
[ "LinearMap.dualMap._proof_2", "Semiring.toModule", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "LinearMap.instFunLike", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "LinearMap.module", "Module.dualPairing._proof_1", "LinearMap", "IsScala...
true
_private.Lean.Meta.ExprDefEq.0.Lean.Meta.processConstApprox.go.cont._unsafe_rec
Lean.Meta.ExprDefEq
[ "_private.Lean.Meta.ExprDefEq.0.Lean.Meta.mkLambdaFVarsWithLetDeps.collectLetDepsAux.match_1", "_private.Lean.Meta.ExprDefEq.0.Lean.Meta.mkLambdaFVarsWithLetDeps", "_private.Lean.Meta.ExprDefEq.0.Lean.Meta.processConstApprox.defaultCase", "Array.isEmpty", "Lean.MVarId", "Lean.Expr", "Lean.Meta.MetaM", ...
false
Lean.Grind.Order.le_lt_trans
Init.Grind.Order
[ "LE.le", "Std.LawfulOrderLT", "LE", "Lean.Grind.Preorder.lt_of_le_of_lt", "Std.IsPreorder", "LT.lt", "LT" ]
true
HomologicalComplex.unop._proof_1
Mathlib.Algebra.Homology.Opposite
[ "Eq.mpr", "CategoryTheory.Limits.HasZeroMorphisms", "Opposite", "Quiver.opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "Quiver.Hom.unop", "HomologicalComplex", "id", "ComplexShape", "CategoryTheory.Limits.HasZeroMorphisms.zero", "CategoryTheory.Limits.unop_zer...
false
CategoryTheory.Limits.WidePullbackShape.struct
Mathlib.CategoryTheory.Limits.Shapes.WidePullbacks
[ "CategoryTheory.Limits.WidePullbackShape.struct._proof_8", "Quiver.mk", "CategoryTheory.CategoryStruct.mk", "False.elim", "CategoryTheory.Limits.WidePullbackShape.struct._proof_6", "CategoryTheory.Limits.WidePullbackShape", "Option.some", "CategoryTheory.Limits.WidePullbackShape.struct._proof_2", "C...
true
FirstOrder.Language.ElementarySubstructure.mk
Mathlib.ModelTheory.ElementarySubstructures
[ "FirstOrder.Language.Substructure", "FirstOrder.Language.Substructure.IsElementary", "FirstOrder.Language.Structure", "FirstOrder.Language.ElementarySubstructure.mk", "FirstOrder.Language.ElementarySubstructure", "FirstOrder.Language" ]
true
_private.Lean.Meta.Tactic.Grind.Arith.Cutsat.EqCnstr.0.Lean.Meta.Grind.Arith.Cutsat.processNewIntDiseq.match_1
Lean.Meta.Tactic.Grind.Arith.Cutsat.EqCnstr
[ "Unit.unit", "Option.ctorIdx", "Option.some", "Int.instDecidableEq", "Nat.hasNotBit", "Int", "dite", "Unit", "instOfNat", "Eq.ndrec_symm", "OfNat.ofNat", "Eq", "Not", "_private.Lean.Meta.Tactic.Grind.Arith.Cutsat.EqCnstr.0.Int.Linear.Poly.substVar._sparseCasesOn_1", "Option" ]
false
Algebra.PreSubmersivePresentation.baseChange_ring
Mathlib.RingTheory.Extension.Presentation.Submersive
[ "CommRing", "Algebra.to_smulCommClass", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Algebra.Generators.Ring", "CommRing.toNonUnitalCommRing", "CommSemiring.toSemiring", "Algebra.TensorProduct.instCommRing", "Algebra", "Algebra.PreSubmersivePresentation.toPresentation", "Algebra.toModule", ...
true
ContIntertwiningMap.comp
Mathlib.RepresentationTheory.Continuous.Basic
[ "ContinuousLinearMap.comp", "ContIntertwiningMap.comp._proof_1", "Monoid", "AddCommGroup.toAddCommMonoid", "ContIntertwiningMap.mk", "ContRepresentation", "AddCommGroup.toAddGroup", "AddCommGroup", "ContIntertwiningMap.toIntertwiningMap._proof_1", "ContinuousLinearMap", "TopologicalSpace", "Co...
true
CategoryTheory.NatIso.pi._proof_4
Mathlib.CategoryTheory.Pi.Basic
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.NatTrans.ext'", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Pi.ext", "CategoryTheory.Iso", "CategoryTheory.pi", "funext", "True", "eq_self"...
false
String.Slice.RevByteIterator.instFiniteUInt8
Init.Data.String.Iterate
[ "String.Slice.RevByteIterator", "String.Slice.RevByteIterator.instIteratorUInt8OfPure", "_private.Init.Data.String.Iterate.0.String.Slice.RevByteIterator.finitenessRelation", "Std.Iterators.Finite", "Pure", "Std.Iterators.Finite.of_finitenessRelation", "UInt8" ]
true
Lean.Lsp.RpcConnected._sizeOf_inst
Lean.Data.Lsp.Extra
[ "Lean.Lsp.RpcConnected._sizeOf_1", "SizeOf.mk", "Lean.Lsp.RpcConnected", "SizeOf" ]
false
SimpleGraph.Walk.IsSubwalk.map
Mathlib.Combinatorics.SimpleGraph.Walk.Subwalks
[ "SimpleGraph.Walk.map", "RelHom.instFunLike", "congrArg", "List.map", "SimpleGraph.Adj", "SimpleGraph.Walk.support", "SimpleGraph.Walk", "SimpleGraph", "List.IsInfix", "List", "SimpleGraph.Walk.IsSubwalk", "_private.Mathlib.Combinatorics.SimpleGraph.Walk.Subwalks.0.SimpleGraph.Walk.IsSubwalk.m...
true
_private.Mathlib.Analysis.Complex.Poisson.0.circleAverage_re_smul_on_ball_zero_aux._proof_1_2
Mathlib.Analysis.Complex.Poisson
[ "instLawfulOrderLT_mathlib", "Lean.Grind.eq_false_of_not_eq_true", "of_eq_false", "Lean.RArray.leaf", "Lean.Grind.Field.toCommRing", "False", "Real.partialOrder", "Real.instLE", "Real", "Lean.Grind.CommRing.Mon.mult", "Lean.Grind.CommRing.diseq_to_eq", "instHDiv", "Lean.Grind.CommRing.Poly",...
false
_private.Lean.Elab.Term.0.Lean.Elab.initFn._regBuiltin._private.Lean.Elab.Term.0.Lean.Elab.initFn.docString_1._@.Lean.Elab.Term.2114473129._hygCtx._hyg.2
Lean.Elab.Term
[ "Lean.addBuiltinDocString", "IO", "instOfNatNat", "Lean.Name.num", "Lean.Name.str", "Lean.Name.anonymous", "Unit", "Nat", "OfNat.ofNat" ]
false
AddLECancellable.le_add_iff_nonneg_right
Mathlib.Algebra.Order.Monoid.Unbundled.Basic
[ "Eq.mpr", "congrArg", "Iff.rfl", "AddLeftMono", "AddZeroClass.toAddZero", "id", "LE.le", "LE", "AddZero.toZero", "instHAdd", "AddZeroClass", "Iff", "HAdd.hAdd", "Iff.trans", "AddLECancellable.add_le_add_iff_left", "AddZero.toAdd", "Zero.toOfNat0", "AddLECancellable", "add_zero", ...
true
Complex.arg_neg_eq_arg_add_pi_of_im_neg
Mathlib.Analysis.SpecialFunctions.Complex.Arg
[ "Iff.mpr", "AddGroup.toSubtractionMonoid", "Norm.norm", "SeminormedAddGroup.toNorm", "Eq.mpr", "NegZeroClass.toNeg", "NormedCommRing.toSeminormedCommRing", "Real.partialOrder", "Real", "neg_div", "instHDiv", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Real.pi", "DivisionCommMonoid.to...
true
_private.Init.Data.Order.LemmasExtra.0.Std.instOrientedOrdOfLawfulOrderOrd._simp_5
Init.Data.Order.LemmasExtra
[ "Ordering.gt", "Ordering", "Ordering.swap", "Ordering.lt", "propext", "Ordering.swap_eq_gt", "Eq" ]
false
Set.Ioc_union_Ici_eq_Ioi
Mathlib.Order.Interval.Set.LinearOrder
[ "Set.Subset.antisymm", "Set.Ioc", "Set.Ioi", "Preorder.toLT", "Set.Ici", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "SemilatticeInf.toPartialOrder", "Set.instUnion", "DistribLattice.toLattice", "LE.le", "And.left", "LT.lt.trans_le", "LT.lt", "Union.u...
true
Algebra.mem_adjoin_iff
Mathlib.Algebra.Algebra.Subalgebra.Lattice
[ "Subalgebra.instSetLike", "Eq.mpr", "CommRing", "Subring.instSetLike", "Algebra.algebraMap", "Ring.toNonAssocRing", "congrArg", "CommSemiring.toSemiring", "Iff.rfl", "Algebra", "Algebra.adjoin", "RingHom", "Membership.mem", "Set.instUnion", "Algebra.adjoin_eq_ring_closure", "id", "Co...
true
Con.instInfSet
Mathlib.GroupTheory.Congruence.Defs
[ "Con.mk", "Mul", "Membership.mem", "InfSet.mk", "InfSet", "Con.instInfSet._proof_2", "Con.instInfSet._proof_1", "Setoid.mk", "Con", "Con.instFunLikeForallProp", "Set.instMembership", "DFunLike.coe", "Set" ]
true
Option.guard_comp
Init.Data.Option.Lemmas
[ "Option.guard", "congrArg", "Option.some", "Function.comp", "instDecidableEqBool", "Option.guard_congr", "Bool.true", "funext", "Option.none", "Option.map", "True", "eq_self", "Bool", "of_eq_true", "Eq.refl", "congrFun'", "Eq", "Option.map_if", "Eq.trans", "Option", "ite" ]
true
QuasispectrumRestricts.nonUnitalStarAlgHom._proof_11
Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Restrict
[ "instSMulOfMul", "CommSemiring.toSemiring", "IsTopologicalSemiring", "SeparatelyContinuousMul.to_continuousSMul", "Semifield", "ContinuousConstSMul", "instDistribOfSemiring", "TopologicalSpace", "IsSemitopologicalSemiring.toSeparatelyContinuousMul", "Semifield.toDivisionSemiring", "Distrib.toMul...
false
CategoryTheory.Grp.forget₂Mon_obj_one
Mathlib.CategoryTheory.Monoidal.Grp
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Grp.forget₂Mon", "CategoryTheory.Grp.instCategory", "CategoryTheory.GrpObj.toMonObj", "CategoryTheory.Grp.grp", "CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory", "CategoryTheory.CartesianMonoidalCategory", "Cate...
true
orderTopology_of_nhds_abs
Mathlib.Topology.Order.LeftRightNhds
[ "Preorder.topology", "Eq.mpr", "OrderTopology", "Preorder.toLT", "iInf", "abs", "congrArg", "AddCommGroup.toAddCommMonoid", "Filter.instInfSet", "nhds_eq_iInf_abs_sub", "LinearOrder", "PartialOrder.toPreorder", "setOf", "HSub.hSub", "AddCommGroup.toAddGroup", "SemilatticeInf.toPartialO...
true
CompactCoherentification.continuous_mk_symm
Mathlib.Topology.Compactness.CompactlyCoherentSpace
[ "Eq.mpr", "Continuous", "Equiv.instEquivLike", "CompactCoherentification.mk", "congrArg", "Function.comp", "id", "Equiv", "TopologicalSpace", "propext", "CompactCoherentification.continuous_dom_iff", "ContinuousOn", "Equiv.symm", "CompactCoherentification", "continuousOn_id", "CompactC...
true
Asymptotics.IsLittleO.neg_left
Mathlib.Analysis.Asymptotics.Defs
[ "Iff.mpr", "NegZeroClass.toNeg", "SeminormedAddCommGroup", "Norm", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "SubtractionCommMonoid.toSubtractionMonoid", "SeminormedAddCommGroup.toNorm", "SeminormedAddCommGroup.toAddCommGroup", "Asymptotics.isLittleO_neg_left", "...
true
LieModule.weight_vector_multiplication
Mathlib.Algebra.Lie.Weights.Basic
[ "LieHom", "le_max_right", "Module.End.instRing", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Submodule", "RingHomSurjective.ids", "CommRing", "LinearMap.restrictScalars", "TensorProduct.leftHasSMul", "instHSMul", "Nat.choose", "Module.End.instMonoid", "TensorProduct.mapIncl", "...
true
Std.Do.Spec.throw_ReaderT
Std.Do.Triple.SpecLemmas
[ "Std.Do.SPred.entails", "_private.Std.Do.Triple.SpecLemmas.0.Std.Do.Spec.throw_ReaderT._simp_1_1", "MonadLift.monadLift", "ReaderT", "Std.Do.PostCond", "MonadExceptOf.throw", "Std.Do.PostShape.arg", "Std.Do.PostShape", "Std.Do.WP", "ReaderT.instMonadLift", "ReaderT.instMonadExceptOf", "Std.Do....
true
Function.Semiconj.surjOn_image
Mathlib.Data.Set.Function
[ "Eq.mpr", "congrArg", "Set.SurjOn", "Membership.mem", "id", "And.casesOn", "And", "Exists.casesOn", "Set.mem_image_of_mem", "Eq.ndrec", "Set.image", "Function.Semiconj", "Eq", "Set.instMembership", "Set" ]
true
ContinuousOn.div'
Mathlib.Topology.Algebra.Group.Defs
[ "instHDiv", "ContinuousWithinAt.div'", "Membership.mem", "HDiv.hDiv", "Div", "TopologicalSpace", "ContinuousOn", "ContinuousDiv", "Set.instMembership", "Set" ]
true
TestFunction._sizeOf_1
Mathlib.Analysis.Distribution.TestFunction
[ "Real", "NormedSpace", "Real.denselyNormedField", "TestFunction.rec", "instSizeOfDefault", "PseudoMetricSpace.toUniformSpace", "TopologicalSpace.Opens", "tsupport", "ContDiff", "HasSubset.Subset", "SubtractionMonoid.toSubNegZeroMonoid", "instOfNatNat", "SubNegZeroMonoid.toNegZeroClass", "S...
false
CategoryTheory.Pi.sumElimCategory._proof_17
Mathlib.CategoryTheory.Pi.Basic
[ "CategoryTheory.Category.comp_id._autoParam", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Pi.sumElimCategory._aux_14", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Category.comp_id", "autoParam", "Sum.inr", "CategoryTheory.CategoryStruct.comp", "Eq", "CategoryT...
false
Bundle.Pretrivialization.continuousLinearMap_symm_apply'
Mathlib.Topology.VectorBundle.Hom
[ "ContinuousLinearMap.comp", "Eq.mpr", "NormedSpace", "FiberBundle", "ContinuousLinearMap.topologicalSpace", "congrArg", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "Bundle.Pretrivialization.continuousLinearMap", "PseudoMetricSpace.toUniformSpace", "RingHom", "cast", "Membership.m...
true
_private.Init.Data.Range.Polymorphic.Internal.SignedBitVec.0.BitVec.Signed.intMinSealed.eq_1
Init.Data.Range.Polymorphic.Internal.SignedBitVec
[ "instPowNat", "HSub.hSub", "BitVec", "instSubNat", "instOfNatNat", "Nat.cast", "instNatPowNat", "instHSub", "HPow.hPow", "Nat", "Eq.refl", "BitVec.instNatCast", "instHPow", "OfNat.ofNat", "_private.Init.Data.Range.Polymorphic.Internal.SignedBitVec.0.BitVec.Signed.intMinSealed", "Eq" ]
true
Summable.of_add_one_of_neg_add_one
Mathlib.Topology.Algebra.InfiniteSum.NatInt
[ "HasSum.of_add_one_of_neg_add_one", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "Int.instNegInt", "Int", "Nat.cast", "AddCommMonoid", "HasSum.summable", "TopologicalSpace", "instHAdd", "Summable.hasSum", "instOfNat", "HAdd.hAdd", "tsum", "Nat", "Int.instAdd", "AddZero.toAdd...
true
CochainComplex.mappingCone.liftCochain
Mathlib.Algebra.Homology.HomotopyCategory.MappingCone
[ "HomologicalComplex.instCategory", "CochainComplex.HomComplex.instAddCommGroupCochain", "CategoryTheory.CategoryStruct.toQuiver", "CochainComplex.mappingCone.inr", "Quiver.Hom", "CochainComplex.HomComplex.Cochain.comp", "AddCommGroup.toAddCommMonoid", "AddGroupWithOne.toAddMonoidWithOne", "AddRightC...
true
TopCat.Presheaf.IsFlasque.pushforward_isFlasque
Mathlib.Topology.Sheaves.Flasque
[ "Opposite", "CategoryTheory.Epi", "Quiver.opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "TopologicalSpace.Opens.instPartialOrder", "TopCat.instCategory", "Quiver.Hom.op", "TopCat.instCategoryPresheaf", "PartialOrder.toPreorder", "Quiver.Hom.unop", "TopologicalSpace.Opens",...
true
CategoryTheory.GradedObject.singleObjApplyIso
Mathlib.CategoryTheory.GradedObject.Single
[ "CategoryTheory.GradedObject.single", "CategoryTheory.GradedObject.singleObjApplyIsoOfEq", "CategoryTheory.Iso", "CategoryTheory.GradedObject.categoryOfGradedObjects", "CategoryTheory.GradedObject", "CategoryTheory.Limits.HasInitial", "CategoryTheory.Functor.obj", "rfl", "CategoryTheory.Category", ...
true
connectedComponentIn_eq
Mathlib.Topology.Connected.Basic
[ "Eq.mpr", "congrArg", "Subtype.casesOn", "Membership.mem", "Eq.mp", "id", "Subtype", "connectedComponentIn_eq_image", "connectedComponent", "Subtype.mk", "And.casesOn", "connectedComponent_eq", "TopologicalSpace", "And", "Set.Nonempty", "Exists.casesOn", "connectedComponentIn_nonempt...
true
Int.Linear.Poly.mul'._f
Init.Data.Int.Linear
[ "HMul.hMul", "Int", "Int.Linear.Var", "Int.Linear.Poly.num", "Int.instMul", "Int.Linear.Poly.add", "Int.Linear.Poly.denote.match_1", "Int.Linear.Poly.below", "Int.Linear.Poly", "instHMul" ]
false
Mathlib.Tactic.ITauto._aux_Mathlib_Tactic_ITauto___elabRules_Mathlib_Tactic_ITauto_itauto_1
Mathlib.Tactic.ITauto
[ "Pure.pure", "Lean.Syntax.TSepArray.mk", "Unit.unit", "Lean.instMonadExceptOfExceptionCoreM", "Lean.Syntax.getArgs", "ReaderT", "Lean.Meta.State", "Lean.Syntax.TSepArray.getElems", "Lean.Syntax.isOfKind", "instMonadLiftT", "Option.some", "Lean.Elab.Tactic.Context", "Lean.Syntax", "Lean.MVa...
false
ZeroAtInftyContinuousMap.coe_mk
Mathlib.Topology.ContinuousMap.ZeroAtInfty
[ "Continuous", "ContinuousMap.mk", "nhds", "ZeroAtInftyContinuousMap.instFunLike", "Filter.cocompact", "TopologicalSpace", "Filter.Tendsto", "ZeroAtInftyContinuousMap.mk", "Zero.toOfNat0", "ZeroAtInftyContinuousMap", "OfNat.ofNat", "Eq", "DFunLike.coe", "rfl", "Zero" ]
true
hasMFDerivWithinAt_congr_set
Mathlib.Geometry.Manifold.MFDeriv.Basic
[ "Filter.EventuallyEq.filter_mono", "NormedSpace", "AddCommGroup.toAddCommMonoid", "Compl.compl", "instAddCommGroupTangentSpace", "Filter.instCompleteLatticeFilter", "nhdsWithin", "NormedField.toField", "nhds", "CompleteLattice.toConditionallyCompleteLattice", "Filter.EventuallyEq", "Set.instSi...
true
instFieldCyclotomicField._aux_13
Mathlib.NumberTheory.Cyclotomic.Basic
[ "Polynomial.cyclotomic", "Field.toDivisionRing", "DivisionRing.toRing", "Polynomial.instCommRingSplittingField._aux_13", "Nat", "CyclotomicField", "Field" ]
false
Lean.Widget.GetWidgetsResponse.mk.sizeOf_spec
Lean.Widget.UserWidget
[ "Lean.Widget.GetWidgetsResponse.mk", "Lean.Widget.GetWidgetsResponse", "Lean.Widget.PanelWidgetInstance", "Lean.Widget.GetWidgetsResponse._sizeOf_inst", "instOfNatNat", "Lean.Widget.PanelWidgetInstance._sizeOf_inst", "Array._sizeOf_inst", "Array", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf...
true
Maximal.and_right
Mathlib.Order.Minimal
[ "Maximal.prop", "LE", "And", "And.left", "And.intro", "Maximal", "Maximal.mono" ]
true
CategoryTheory.Center.isIso_of_f_isIso
Mathlib.CategoryTheory.Monoidal.Center
[ "CategoryTheory.IsIso", "Quiver.Hom", "CategoryTheory.HalfBraiding", "CategoryTheory.MonoidalCategory", "CategoryTheory.Center.instCategory", "inferInstance", "id", "Sigma.fst", "CategoryTheory.Center.isoMk", "CategoryTheory.Center.Hom.f", "CategoryTheory.Iso.isIso_hom", "CategoryTheory.Center...
true
Filter.sets_ssubset_sets
Mathlib.Order.Filter.Basic
[ "Preorder.toLT", "Iff.rfl", "PartialOrder.toPreorder", "HasSSubset.SSubset", "Set.instHasSSubset", "Filter.sets", "Iff", "LT.lt", "Filter", "Filter.instPartialOrder", "Set" ]
true
Dyadic.neg_mul
Init.Data.Dyadic.Basic
[ "Rat.instMul", "Dyadic.toRat_neg", "Dyadic.toRat_mul", "HMul.hMul", "congrArg", "Rat", "Dyadic", "_private.Init.Data.Dyadic.Basic.0.Dyadic.neg_mul._simp_1_1", "Rat.neg_mul", "congr", "Dyadic.instMul", "True", "eq_self", "of_eq_true", "congrFun'", "Eq", "Dyadic.instNeg", "Neg.neg", ...
true
Ordnode.ctorElimType
Mathlib.Data.Ordmap.Ordnode
[ "cond", "Ordnode", "Nat.ble", "PULift", "Ordnode.node", "Nat", "Ordnode.nil" ]
false