name
string
module
string
deps
list
allowCompletion
bool
instHasCountableLimitsLightCondMod
Mathlib.Condensed.Light.Limits
[ "LightCondensed._proof_1", "CategoryTheory.Functor", "CategoryTheory.Limits.hasLimitsOfShapeOfHasLimits", "Opposite", "ModuleCat", "CategoryTheory.Limits.HasLimitsOfShape", "SecondCountableTopology", "CategoryTheory.Functor.category", "inferInstance", "CategoryTheory.SmallCategory", "CategoryThe...
true
Lean.Parser.Term.doContinue
Lean.Parser.Do
[ "Lean.Parser.Parser", "Lean.Parser.leadingNode", "instOfNatNat", "Lean.Parser.symbol", "Lean.Parser.withAntiquot", "Bool.true", "Nat", "Lean.Parser.withCache", "OfNat.ofNat", "Lean.Parser.mkAntiquot", "Bool.false", "Lean.Name.mkStr4" ]
true
AddCommGroupWithOne.toNatCast
Mathlib.Data.Int.Cast.Defs
[ "AddCommGroupWithOne", "NatCast" ]
true
_private.Lean.Elab.Term.TermElabM.0.Lean.Elab.Term.useImplicitLambda
Lean.Elab.Term.TermElabM
[ "Pure.pure", "Unit.unit", "Lean.Elab.Term.UseImplicitLambdaResult", "Lean.Elab.Term.isLocalIdent?", "Lean.Elab.Term.blockImplicitLambda", "Lean.Elab.Term.instMonadTermElabM", "ReaderT", "Lean.Meta.State", "instMonadLiftT", "Lean.Elab.Term.hasNoImplicitLambdaAnnotation", "Lean.Elab.Term.UseImplic...
true
Affine.Simplex.centroid_reindex
Mathlib.LinearAlgebra.AffineSpace.Simplex.Centroid
[ "Iff.mpr", "Eq.mpr", "Pi.Function.module", "Affine.Simplex.points", "Fintype.card_fin", "Semiring.toModule", "AffineMap.instFunLike", "Equiv.instEquivLike", "Equiv.symm_comp_self", "Finset.univ", "outParam", "congrArg", "AddCommGroup.toAddCommMonoid", "HEq.refl", "Finset", "Affine.Simp...
true
ENNReal.div_lt_top
Mathlib.Data.ENNReal.Inv
[ "Iff.mpr", "Preorder.toLT", "instHDiv", "PartialOrder.toPreorder", "ENNReal.inv_ne_top", "HDiv.hDiv", "Ne", "ENNReal.mul_lt_top", "Inv.inv", "Ne.lt_top", "LT.lt", "ENNReal", "ENNReal.instDivInvMonoid", "DivInvMonoid.toDiv", "ENNReal.instPartialOrder", "Zero.toOfNat0", "ENNReal.instIn...
true
List.length_range
Init.Data.List.Range
[ "congrArg", "List.range'", "List.length_range'", "instOfNatNat", "List.range", "List", "Nat", "List.range_eq_range'", "True", "eq_self", "of_eq_true", "congrFun'", "OfNat.ofNat", "Eq", "List.length", "Eq.trans" ]
true
CategoryTheory.Monad.ForgetCreatesColimits.coconePoint._proof_1
Mathlib.CategoryTheory.Monad.Limits
[ "CategoryTheory.Monad.ForgetCreatesColimits.commuting", "Eq.mpr", "CategoryTheory.Monad", "CategoryTheory.Functor", "CategoryTheory.Monad.forget", "CategoryTheory.Monad.Algebra.unit_assoc", "CategoryTheory.Limits.Cocone", "CategoryTheory.Limits.IsColimit.hom_ext", "CategoryTheory.CategoryStruct.toQu...
false
MeasureTheory.integral_union_eq_left_of_forall
Mathlib.MeasureTheory.Integral.Bochner.Set
[ "Real", "MeasureTheory.Measure", "MeasurableSet", "NormedSpace", "MeasurableSet.nullMeasurableSet", "Membership.mem", "Set.instUnion", "MeasureTheory.Measure.restrict", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "SubtractionCommMonoid.toSubtractionMonoid", "Meas...
true
ModuleCat.linearOverField._proof_2
Mathlib.Algebra.Category.ModuleCat.Algebra
[ "IsScalarTower.to_smulCommClass'", "instHSMul", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "ModuleCat", "LinearMap.ext", "congrArg", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "LinearMap.instFunLike", "ModuleCat.moduleOfAlgebraMod...
false
Lean.Meta.CaseValuesSubgoal.noConfusion
Lean.Meta.Match.CaseValues
[ "Lean.Meta.CaseValuesSubgoal.noConfusionType", "Lean.MVarId", "Lean.FVarId", "Lean.Meta.CaseValuesSubgoal.casesOn", "Array", "Lean.Meta.CaseValuesSubgoal", "Lean.Meta.FVarSubst", "Eq.ndrec", "Eq.refl", "Eq" ]
false
TensorPower.gmonoid._proof_1
Mathlib.LinearAlgebra.TensorPower.Basic
[ "Nat.instMulZeroClass", "instHSMul", "AddMonoid.toAddSemigroup", "GradedMonoid.GOne.toOne", "GradedMonoid.GMul.mk", "CommSemiring.toSemiring", "GradedMonoid.GMonoid.gnpowRec", "AddMonoid.toAddZeroClass", "AddMonoid.toNSMul", "Nat.instAddMonoid", "AddZeroClass.toAddZero", "GradedMonoid.GMonoid....
false
ContDiffWithinAt.sinh
Mathlib.Analysis.SpecialFunctions.Trigonometric.DerivHyp
[ "Real", "NormedSpace", "Real.denselyNormedField", "Real.sinh", "Real.normedAddCommGroup", "ContDiffAt.comp_contDiffWithinAt", "Real.contDiff_sinh", "ENat", "NontriviallyNormedField.toNormedField", "Real.normedField", "DenselyNormedField.toNontriviallyNormedField", "NormedField.toNormedSpace", ...
true
_private.Init.Data.Vector.Count.0.Vector.count_le_count_map._simp_1_1
Init.Data.Vector.Count
[ "Array.count_le_count_map", "LawfulBEq", "Array.map", "LE.le", "instLENat", "Array", "Nat", "True", "eq_true", "BEq", "Eq", "Array.count" ]
false
_private.Lean.Meta.Tactic.Grind.Theorems.0.Lean.Meta.Grind.Theorems.mk.noConfusion
Lean.Meta.Tactic.Grind.Theorems
[ "_private.Lean.Meta.Tactic.Grind.Theorems.0.Lean.Meta.Grind.Theorems.mk", "Lean.Meta.Grind.Theorems.noConfusion", "Lean.PHashMap", "id", "Lean.Meta.Grind.Theorems", "Lean.PHashSet", "Lean.Meta.Grind.instBEqOrigin", "List", "heq_of_eq", "Lean.Meta.Grind.Origin", "Lean.Meta.Grind.instHashableOrigi...
false
AlgebraicGeometry.ProjIsoSpecTopComponent.ToSpec.carrier._proof_2
Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Scheme
[ "SetLike", "CommRing", "AlgebraicGeometry.PresheafedSpace.carrier", "AddGroupWithOne.toAddGroup", "TopologicalSpace.Opens.instPartialOrder", "CommSemiring.toSemiring", "CategoryTheory.ConcreteCategory.hom", "ProjectiveSpectrum.basicOpen", "CommRingCat", "TopCat.instCategory", "ContinuousMap", ...
false
CategoryTheory.RigidCategory.ctorIdx
Mathlib.CategoryTheory.Monoidal.Rigid.Basic
[ "CategoryTheory.MonoidalCategory", "Nat", "CategoryTheory.RigidCategory", "CategoryTheory.Category" ]
false
Array.all_subtype
Init.Data.Array.Attach
[ "List.unattach", "Eq.mpr", "List.all", "Array.all_congr", "Array.all", "congrArg", "List.unattach_toArray", "List.length_unattach", "Array.casesOn", "Subtype", "instOfNatNat", "List.toArray", "Subtype.mk", "Array", "List", "List.all_toArray'", "List.size_toArray", "Nat", "congr",...
true
Ordinal.ToType.mk._proof_3
Mathlib.SetTheory.Ordinal.Basic
[ "Preorder.toLT", "isWellOrder_lt", "Ordinal.partialOrder", "PartialOrder.toPreorder", "Membership.mem", "SemilatticeInf.toPartialOrder", "Ordinal.ToType.mk._proof_2", "Eq.rec", "Ordinal.type", "inferInstance", "Set.Elem", "DistribLattice.toLattice", "linearOrder_toType", "IsWellOrder", "...
false
List.hasDecEq.match_1
Init.Prelude
[ "Decidable.isTrue", "Decidable.casesOn", "Decidable", "List", "Decidable.isFalse", "Eq", "Not" ]
false
gcd_comm
Mathlib.Algebra.GCDMonoid.Basic
[ "GCDMonoid.toIsCancelMulZero", "NormalizedGCDMonoid", "dvd_antisymm_of_normalize_eq", "GCDMonoid.dvd_gcd", "normalize_gcd", "GCDMonoid.gcd", "NormalizedGCDMonoid.toGCDMonoid", "CommMonoidWithZero", "NormalizedGCDMonoid.toNormalizationMonoid", "GCDMonoid.gcd_dvd_left", "GCDMonoid.gcd_dvd_right", ...
true
Finset.fold_const
Mathlib.Data.Finset.Fold
[ "Std.Commutative", "Eq.mpr", "False", "congrArg", "Finset", "Finset.fold", "if_false", "Decidable", "Classical.propDecidable", "Membership.mem", "id", "Insert.insert", "_private.Mathlib.Data.Finset.Fold.0.Finset.fold_const._simp_1_2", "Finset.decidableEq", "ite_cond_eq_true", "if_pos",...
true
MonadStateOf.casesOn
Init.Prelude
[ "MonadStateOf.mk", "MonadStateOf", "MonadStateOf.rec", "PUnit", "Prod" ]
false
BoxIntegral.Box.instPartialOrder._proof_3
Mathlib.Analysis.BoxIntegral.Box.Basic
[ "Real", "Preorder.toLT", "BoxIntegral.Box.toSet", "PartialOrder.toPreorder", "Preorder.toLE", "CompleteLattice.toConditionallyCompleteLattice", "LE.le", "And", "Iff", "Preorder.lt_iff_le_not_ge", "LT.lt", "CompleteBooleanAlgebra.toCompleteLattice", "ConditionallyCompletePartialOrderSup.toPar...
false
_private.Std.Data.ExtDHashMap.Lemmas.0.Std.ExtDHashMap.map_eq_empty_iff._simp_1_2
Std.Data.ExtDHashMap.Lemmas
[ "Bool.coe_iff_coe", "Bool.true", "Iff", "propext", "Bool", "Eq" ]
false
SemimoduleCat.hom_ext_iff
Mathlib.Algebra.Category.ModuleCat.Semi
[ "SemimoduleCat.isModule", "SemimoduleCat.moduleCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "SemimoduleCat.isAddCommMonoid", "HEq.refl", "SemimoduleCat.hom_ext", "Eq.casesOn", "SemimoduleCat", "LinearMap", "SemimoduleCat.carrier", "Iff", "Iff.intro", "Eq.ndrec", "Se...
true
Real.pow_mul_norm_iteratedFDeriv_fourier_le
Mathlib.Analysis.Fourier.FourierTransformDeriv
[ "NormedCommRing.toNormedRing", "AddGroup.toSubtractionMonoid", "Real.instIsOrderedRing", "Norm.norm", "SeminormedAddGroup.toNorm", "Eq.mpr", "InnerProductSpace.toNormedSpace", "mul_nonneg", "NormedCommRing.toSeminormedCommRing", "MulOne.toOne", "False", "pow_pos", "MeasureTheory.integral_non...
true
ContinuousMap.toAEEqFunAddHom._proof_1
Mathlib.MeasureTheory.Function.AEEqFun
[ "ContinuousMap.toAEEqFun", "TopologicalSpace.PseudoMetrizableSpace", "MeasureTheory.Measure", "ContinuousMap", "AddMonoid.toAddZeroClass", "BorelSpace", "AddZeroClass.toAddZero", "ContinuousMap.instAddZeroClassOfContinuousAdd", "IsTopologicalAddGroup.toContinuousAdd", "MeasureTheory.AEEqFun", "M...
false
_private.Std.Data.Iterators.Lemmas.Consumers.Monadic.Collect.0.Std.IterM.Equiv.toList_eq._simp_1_1
Std.Data.Iterators.Lemmas.Consumers.Monadic.Collect
[ "Monad.toApplicative", "Std.Iterators.Finite", "Std.IterM.toListRev", "LawfulMonad", "Std.Iterator", "List", "List.reverse", "Applicative.toFunctor", "Std.IterM", "Std.IterM.toList", "Std.IterM.reverse_toListRev", "Eq.symm", "Monad", "Eq", "Functor.map" ]
false
groupHomology.H0π_comp_H0Iso_hom_assoc
Mathlib.RepresentationTheory.Homological.GroupHomology.LowDegree
[ "CategoryTheory.Category.assoc", "Rep.coinvariantsFunctor", "Rep.V", "CommRing", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "ModuleCat", "congrArg", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Rep.hV2", "groupHomology.H0", "LinearMap.instFunLike", "Group", "R...
true
SzemerediRegularity.increment.congr_simp
Mathlib.Combinatorics.SimpleGraph.Regularity.Increment
[ "Real", "instSubsingletonDecidable", "Finset.univ", "Finset", "SimpleGraph.Adj", "DecidableRel", "Decidable", "Eq.rec", "Pi.instSubsingleton", "SzemerediRegularity.increment", "SimpleGraph", "Fintype", "Finset.instLattice", "Eq.ndrec", "Eq.refl", "Subsingleton.elim", "Finset.instOrde...
true
SkewMonoidAlgebra.equivMapDomain._proof_1
Mathlib.Algebra.SkewMonoidAlgebra.Lift
[ "Equiv.instEquivLike", "congrArg", "Finset", "AddMonoid.toAddZeroClass", "Finset.map", "Membership.mem", "AddZeroClass.toAddZero", "Equiv", "Ne", "Finset.mem_map_equiv._simp_1", "SkewMonoidAlgebra.mem_support_iff._simp_1", "AddCommMonoid", "iff_self", "AddZero.toZero", "Iff", "SkewMono...
false
Finsupp.support_indicator_subset
Mathlib.Data.Finsupp.Indicator
[ "Finsupp.mem_support_iff", "Finsupp.instFunLike", "Finsupp.indicator", "congrArg", "Finset", "Finsupp.indicator_of_notMem", "Classical.byContradiction", "Finsupp.support", "Membership.mem", "Eq.mp", "HasSubset.Subset", "Ne", "Finset.instSetLike", "propext", "Finset.instHasSubset", "Zer...
true
ArchimedeanClass.FiniteElement._proof_1
Mathlib.Algebra.Order.Ring.StandardPart
[ "IsDomain.to_noZeroDivisors", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "IsOrderedRing", "CommSemiring.toSemiring", "LinearOrder", "PartialOrder.toPreorder", "Field.toDivisionRing", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "DivisionRing....
false
AddSubsemigroup.centerToAddOpposite._proof_4
Mathlib.GroupTheory.Submonoid.Center
[ "Iff.mpr", "AddSubsemigroup.instSetLike", "Membership.mem", "AddOpposite.unop_mem_center_iff", "AddOpposite", "AddOpposite.instAdd", "Subtype", "AddSubsemigroup.center", "Set.addCenter", "AddSubsemigroup", "AddOpposite.unop", "Subtype.val", "Set.instMembership", "SetLike.instMembership", ...
false
Substring.Raw.Valid.data_drop
Batteries.Data.String.Lemmas
[ "String.toList_ofList", "congrArg", "String", "Substring.Raw.Valid.validFor", "_private.Batteries.Data.String.Lemmas.0.Substring.Raw.Valid.data_drop.match_1_1", "Exists", "Substring.Raw.ValidFor", "Substring.Raw.drop", "Substring.Raw", "Substring.Raw.toString", "instHAppendOfAppend", "List", ...
true
_private.Mathlib.MeasureTheory.Integral.IntervalAverage.0.exists_eq_interval_average_of_noAtoms._proof_1_1
Mathlib.MeasureTheory.Integral.IntervalAverage
[ "instLawfulOrderLT_mathlib", "Set.Ioc", "Lean.Grind.Field.toCommRing", "False", "Lean.Grind.and_eq_of_eq_true_right", "Real.partialOrder", "Real.instLE", "Real", "Preorder.toLT", "Lattice.toSemilatticeSup", "eq_false", "Lean.Grind.Order.le_lt_trans_k", "Lean.Grind.iff_eq", "Lean.Grind.Orde...
false
Int.getElem?_toArray_roo_eq_none
Init.Data.Range.Polymorphic.IntLemmas
[ "Std.Rco.toArray", "congrArg", "Std.PRange.instUpwardEnumerableInt", "HSub.hSub", "Int.getElem?_toArray_rco_eq_none", "Int", "LE.le", "instLENat", "Std.PRange.instIsAlwaysFiniteInt_1", "Array", "Int.instLTInt", "Option.none", "instHAdd", "instHSub", "instOfNat", "HAdd.hAdd", "Nat", ...
true
Lean.Widget.WidgetSource.mk.noConfusion
Lean.Widget.UserWidget
[ "Lean.Widget.WidgetSource.noConfusion", "Lean.Widget.WidgetSource", "String", "id", "Lean.Widget.WidgetSource.mk", "Eq" ]
false
Lean.Grind.IntModule.OfNatModule.mk_le_mk
Init.Grind.Module.Envelope
[ "Iff.rfl", "Prod.mk", "Lean.Grind.IntModule.OfNatModule.Q.mk", "LE.le", "LE", "Lean.Grind.IntModule.OfNatModule.Q", "instHAdd", "Iff", "Std.IsPreorder", "HAdd.hAdd", "Lean.Grind.AddCommMonoid.toAdd", "Lean.Grind.IntModule.OfNatModule.instLEQOfOrderedAdd", "Lean.Grind.NatModule", "Lean.Grin...
true
_private.Mathlib.Algebra.Category.ModuleCat.Semi.0.SemimoduleCat.mk
Mathlib.Algebra.Category.ModuleCat.Semi
[ "SemimoduleCat", "AddCommMonoid", "Semiring", "Module", "_private.Mathlib.Algebra.Category.ModuleCat.Semi.0.SemimoduleCat.mk" ]
true
StructureGroupoid.id_mem_maximalAtlas
Mathlib.Geometry.Manifold.HasGroupoid
[ "chartedSpaceSelf", "Membership.mem", "StructureGroupoid", "chartedSpaceSelf_atlas._simp_1", "TopologicalSpace", "StructureGroupoid.subset_maximalAtlas", "True", "eq_self", "of_eq_true", "StructureGroupoid.maximalAtlas", "atlas", "hasGroupoid_model_space", "Eq", "Set.instMembership", "Op...
true
_private.Mathlib.Algebra.Exact.Sequence.0.Module.sum_neg_one_pow_finrank_eq_zero_of_exact._proof_1_3
Mathlib.Algebra.Exact.Sequence
[ "Int.instAddCommGroup", "Submodule", "instNeZeroNatHAdd_1", "RingHomSurjective.ids", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Fin.succ", "Lean.Omega.Constraint.mk", "AddCommGroup.toAddCommMonoid", "Submodule.addComm...
false
Array.mapIdx_mapIdx
Init.Data.Array.MapIdx
[ "Array.getElem?_mapIdx", "congrArg", "Array.mapIdx", "Function.comp", "Array", "_private.Init.Data.Array.MapIdx.0.Array.mapIdx_mapIdx._simp_1_1", "Option.map", "Option.map_map", "Nat", "congr", "LT.lt", "True", "eq_self", "of_eq_true", "implies_true", "instLTNat", "GetElem?.getElem?"...
true
QuasiconcaveOn.dual
Mathlib.Analysis.Convex.Quasiconvex
[ "OrderDual.instLE", "OrderDual.toDual", "Equiv.instEquivLike", "SMul", "Function.comp", "PartialOrder", "id", "Equiv", "LE", "AddCommMonoid", "Semiring", "QuasiconcaveOn", "OrderDual", "QuasiconvexOn", "DFunLike.coe", "EquivLike.toFunLike", "Set" ]
true
IsDedekindDomain.HeightOneSpectrum.under._proof_1
Mathlib.RingTheory.DedekindDomain.Ideal.Lemmas
[ "CommRing", "CommSemiring.toSemiring", "IsDedekindDomain.HeightOneSpectrum", "Algebra", "IsDedekindDomain.HeightOneSpectrum.asIdeal", "CommRing.toCommSemiring", "Ideal.IsPrime", "Ideal.IsPrime.under", "IsDedekindDomain.HeightOneSpectrum.isPrime", "Ideal.under" ]
false
_private.Init.Data.String.Lemmas.Pattern.Char.0.String.Slice.Pattern.Model.Char.isValidSearchFrom_iff_isValidSearchFrom_beq._simp_1_2
Init.Data.String.Lemmas.Pattern.Char
[ "String.Slice", "instBEqOfDecidableEq", "BEq.beq", "String.Slice.Pattern.Model.CharPred.instPatternModelForallCharBool", "String.Slice.Pattern.Model.Char.instPatternModelChar", "propext", "Bool", "String.Slice.Pattern.Model.Char.isLongestMatchAt_iff_isLongestMatchAt_beq", "String.Slice.Pos", "Char...
false
_private.Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Order.0.isStrictlyPositive_add._proof_1_1
Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Order
[ "False", "Lean.Grind.and_eq_of_eq_true_right", "NormedRing.toRing", "eq_false", "Lean.Grind.iff_eq", "Classical.byContradiction", "PartialOrder.toPreorder", "Lean.Grind.eq_false_of_imp_eq_true", "Lean.Grind.and_eq_of_eq_true_left", "IsUnit", "Preorder.toLE", "CStarAlgebra.toNormedRing", "CSt...
false
_private.Mathlib.Algebra.Star.Module.0.selfAdjointPart_comp_subtype_skewAdjoint.match_1_1
Mathlib.Algebra.Star.Module
[ "NegZeroClass.toNeg", "Submodule", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "StarMul", "Subtype.casesOn", "AddCommGroup.toAddGroup", "Membership.mem", "AddZeroClass.toAddZero", "AddCommGroup", "Subtype", "DistribSMul.toSMulZeroClass", "S...
false
Std.ExtDTreeMap.Const.alter_eq_empty_iff
Std.Data.ExtDTreeMap.Lemmas
[ "Std.ExtDTreeMap.erase_eq_empty_iff", "Eq.mpr", "Std.ExtDTreeMap.Const.alter", "congrArg", "Std.ExtDTreeMap.erase", "Iff.rfl", "Membership.mem", "Ordering", "id", "Std.ExtDTreeMap.instEmptyCollection", "instOfNatNat", "Std.TransCmp", "Std.ExtDTreeMap.Const.get?", "Option.none", "And", ...
true
Set.image_list_prod._f
Mathlib.Algebra.Group.Pointwise.Set.BigOperators
[ "Monoid", "Eq.mpr", "MulOne.toOne", "HMul.hMul", "List.map_cons", "Monoid.toMulOneClass", "congrArg", "Set.one", "_private.Mathlib.Algebra.Group.Pointwise.Set.BigOperators.0.Set.image_list_prod.match_1_1", "List.map", "MonoidHomClass.toOneHomClass", "Set.image_one", "Set.instSingletonSet", ...
false
CategoryTheory.Sheaf.instPreservesFiniteLimitsFunctorOppositeSheafToPresheafOfHasFiniteLimits
Mathlib.CategoryTheory.Sites.Limits
[ "CategoryTheory.Functor", "CategoryTheory.Limits.PreservesFiniteLimits", "Opposite", "CategoryTheory.Limits.HasFiniteLimits", "CategoryTheory.Functor.category", "inferInstance", "CategoryTheory.Limits.PreservesFiniteLimits.mk", "CategoryTheory.Sheaf.createsLimitsOfShape", "CategoryTheory.SmallCatego...
true
AddCon.addSubgroup_quotientAddGroupCon
Mathlib.GroupTheory.QuotientGroup.Defs
[ "AddCon.instFunLikeForallProp", "QuotientAddGroup.leftRel_apply", "AddGroup.toSubtractionMonoid", "AddCon", "NegZeroClass.toNeg", "SubtractionMonoid.toInvolutiveNeg", "neg_mem_iff", "QuotientAddGroup.con._proof_1", "congrArg", "AddMonoid.toAddZeroClass", "Membership.mem", "AddZeroClass.toAddZe...
true
ContinuousMultilinearMap.uniformContinuous_restrictScalars
Mathlib.Topology.Algebra.Module.Multilinear.Topology
[ "UniformContinuous", "UniformSpace", "NormedCommRing.toSeminormedCommRing", "ContinuousSMul", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "IsScalarTower", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "SeminormedRing.toRing", "AddCommGroup.toAddGroup", "...
true
BoxIntegral.unitPartition.prepartition_isHenstock
Mathlib.Analysis.BoxIntegral.UnitPartition
[ "Eq.mpr", "BoxIntegral.unitPartition.prepartition_tag", "Nat.instMulZeroClass", "Real", "BoxIntegral.unitPartition.tag_mem", "congrArg", "Finset", "BoxIntegral.Box.Icc", "BoxIntegral.unitPartition.tag", "Membership.mem", "Exists", "id", "BoxIntegral.TaggedPrepartition.tag", "BoxIntegral.Ta...
true
Finset.gcd_congr
Mathlib.Algebra.GCDMonoid.Finset
[ "Finset", "NormalizedGCDMonoid", "Membership.mem", "Finset.fold_congr", "CommMonoidWithZero.toMonoidWithZero", "Finset.gcd", "GCDMonoid.gcd", "MonoidWithZero.toMulZeroOneClass", "Finset.instSetLike", "NormalizedGCDMonoid.toGCDMonoid", "CommMonoidWithZero", "instCommutativeGcd", "Eq.ndrec", ...
true
LowerSet.notMem_bot._simp_1
Mathlib.Order.UpperLower.CompleteLattice
[ "False", "eq_false", "LowerSet.instBot", "Membership.mem", "Bot.bot", "LE", "LowerSet.notMem_bot", "LowerSet", "Eq", "SetLike.instMembership", "LowerSet.instSetLike" ]
false
Std.DHashMap.Equiv.constGet_eq
Std.Data.DHashMap.Lemmas
[ "Std.DHashMap.Equiv", "Std.DHashMap.Internal.Raw₀.Const.get_eq_of_equiv", "Std.DHashMap.Raw", "Membership.mem", "Std.DHashMap.instMembership", "Std.DHashMap.wf", "Std.DHashMap.Equiv.mem_iff", "instOfNatNat", "LawfulHashable", "Subtype.mk", "EquivBEq", "Std.DHashMap.inner", "Nat", "Std.DHas...
true
CategoryTheory.NatTrans.removeOp._proof_2
Mathlib.CategoryTheory.Opposites
[ "CategoryTheory.Functor.op", "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Quiver.Hom.op_inj", "CategoryTheory.Functor.category", "Quiver.Hom.unop", "CategoryTheory.Functor.map", "Opposite.op", "CategoryTheory.CategoryStruct.comp", "CategoryTheo...
false
Valuation.mem_nhds_iff
Mathlib.Topology.Algebra.ValuativeRel.ValuativeTopology
[ "Filter.instMembership", "AddGroup.toSubtractionMonoid", "Units.val", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "NegZeroClass.toNeg", "ValuativeRel.instLinearOrderValueGroupWithZero", "Preorder.toLT", "ValuationClass.toMonoidWit...
true
_private.Std.Http.Protocol.H1.Message.0.Std.Http.Protocol.H1.Message.Head.getSize.match_3
Std.Http.Protocol.H1.Message
[ "Unit.unit", "Option.ctorIdx", "_private.Std.Http.Protocol.H1.Message.0.Std.Http.Protocol.H1.Message.Head.getSize._sparseCasesOn_5", "_private.Std.Http.Protocol.H1.Message.0.Std.Http.Protocol.H1.Message.Head.getSize._sparseCasesOn_4", "Option.some", "Nat.hasNotBit", "_private.Std.Http.Protocol.H1.Messag...
false
Std.TreeMap.getKeyD_insert_self
Std.Data.TreeMap.Lemmas
[ "Std.TreeMap.insert", "Std.TreeMap.inner", "Ordering", "Std.TransCmp", "Std.TreeMap.getKeyD", "Std.DTreeMap.getKeyD_insert_self", "Eq", "Std.TreeMap" ]
true
_private.Init.Data.String.Basic.0.String.Slice.utf8ByteSize_slice._proof_1_2
Init.Data.String.Basic
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "String.Slice.Pos.offset", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.ofNat_sub_dichotomy", "Lean.Ome...
false
Representation.instAddCommGroupAsModule._proof_8
Mathlib.RepresentationTheory.Basic
[ "Monoid", "Representation", "AddCommGroup.toAddCommMonoid", "AddMonoid.toZero", "AddCommGroup.toAddGroup", "AddCommGroup", "Int", "SubNegMonoid.zsmul_zero'._autoParam", "autoParam", "Representation.asModule", "Representation.instAddCommMonoidAsModule", "AddGroup.toSubNegMonoid", "instOfNat",...
false
PositiveLinearMap.toOrderHom_comp
Mathlib.Algebra.Order.Module.PositiveLinearMap
[ "PartialOrder.toPreorder", "PartialOrder", "OrderHom.comp", "AddCommMonoid", "PositiveLinearMap", "Semiring", "PositiveLinearMap.comp", "PositiveLinearMap.toOrderHom", "Module", "Eq", "OrderHom", "rfl" ]
true
_private.Lean.Elab.DeclNameGen.0.Lean.Elab.Command.NameGen.mkBaseNameCore.visit'.eq_def
Lean.Elab.DeclNameGen
[ "Pure.pure", "_private.Lean.Elab.DeclNameGen.0.Lean.Elab.Command.NameGen.mkBaseNameCore.visit", "StateRefT'.instAlternativeOfMonad", "Lean.Core.instMonadLiftIOCoreM", "IO.instMonadLiftSTRealWorldBaseIO", "modify", "String", "Lean.Meta.State", "instMonadLiftT", "IO", "_private.Lean.Elab.DeclNameG...
true
TopCat.ι₁_fst_assoc
Mathlib.Topology.Category.TopCat.Monoidal
[ "CategoryTheory.Category.assoc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "TopCat.instCategory", "TopCat.instCartesianMonoidalCategory", "CategoryTheory.CategoryStruct.id", "Eq.mp", "id", "Mathlib.Tactic.Reassoc.eq_whisker'", "CategoryTheory.SemiCartesianMonoidalCatego...
true
CategoryTheory.rightExactFunctor
Mathlib.CategoryTheory.Limits.ExactFunctor
[ "CategoryTheory.Functor", "CategoryTheory.Functor.category", "CategoryTheory.Limits.PreservesFiniteColimits", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.ObjectProperty", "CategoryTheory.Category" ]
true
Mathlib.Tactic.ClickSuggestions.RwKind.hasBVars.elim
Mathlib.Tactic.ClickSuggestions.Util
[ "PULift.up", "Mathlib.Tactic.ClickSuggestions.RwKind.hasBVars", "Mathlib.Tactic.ClickSuggestions.RwKind.ctorIdx", "Mathlib.Tactic.ClickSuggestions.RwKind.ctorElim", "Nat", "Mathlib.Tactic.ClickSuggestions.RwKind", "Eq.symm", "Eq" ]
false
AddGrpCat.limitAddGroup._aux_4
Mathlib.Algebra.Category.Grp.Limits
[ "CategoryTheory.Functor", "Equiv.instEquivLike", "CategoryTheory.Limits.Types.Small.limitCone", "AddGrpCat.instCategory", "AddMonoid.toAddZeroClass", "CategoryTheory.Functor.comp", "AddZeroClass.toAddZero", "Set.Elem", "Equiv", "CategoryTheory.Limits.Cone.pt", "AddGrpCat", "AddZero.toZero", ...
false
DilationEquiv.coe_one
Mathlib.Topology.MetricSpace.DilationEquiv
[ "InvOneClass.toOne", "DivInvOneMonoid.toInvOneClass", "DilationEquiv.instEquivLike", "Group.toDivisionMonoid", "DivisionMonoid.toDivInvOneMonoid", "id", "PseudoEMetricSpace", "DilationEquiv.instGroup", "One.toOfNat1", "DilationEquiv", "OfNat.ofNat", "Eq", "DFunLike.coe", "rfl", "EquivLik...
true
OrderType.instOfNat
Mathlib.Order.Types.Arithmetic
[ "OrderType.type", "Fin.instLinearOrder", "Nat", "OfNat.mk", "OrderType", "Fin", "OfNat" ]
true
CategoryTheory.Subfunctor.Subpresheaf.range_id
Mathlib.CategoryTheory.Subfunctor.Image
[ "CategoryTheory.Functor", "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "Preorder.toLE", "CategoryTheory.CategoryStruct.id", "CompleteLattice.toBoundedOrder", "CategoryTheory.instCompleteLatticeSubfunctor", "CategoryTheory.Su...
true
Std.TreeSet.getD_diff_of_mem_right
Std.Data.TreeSet.Lemmas
[ "Std.TreeSet", "Std.TreeSet.getD", "Membership.mem", "Ordering", "Std.TreeSet.inner", "Std.TransCmp", "Std.TreeSet.instSDiff", "Std.TreeMap.getKeyD_diff_of_mem_right", "SDiff.sdiff", "Unit", "Eq", "Std.TreeSet.instMembership" ]
true
List.length_mapFinIdx
Init.Data.List.MapIdx
[ "List.length_mapFinIdx_go", "congrArg", "List.mapFinIdx", "List.toArray", "List", "Nat", "LT.lt", "True", "eq_self", "of_eq_true", "congrFun'", "instLTNat", "List.mapFinIdx._proof_5", "Eq", "List.length", "Eq.trans", "List.nil" ]
true
Subalgebra.normedCommRing._proof_1
Mathlib.Analysis.Normed.Ring.Basic
[ "Subalgebra.instSetLike", "NormedCommRing.toNormedRing", "NormedCommRing.toCommRing", "Real", "CommRing", "NormedRing.toRing", "NormedCommRing", "Real.instZero", "CommSemiring.toSemiring", "Algebra", "Membership.mem", "Subtype", "Subalgebra.normedRing", "MetricSpace.eq_of_dist_eq_zero", ...
false
RelSeries.head_fromListIsChain
Mathlib.Order.RelSeries
[ "List.head", "instNeZeroNatHAdd_1", "SetRel", "congrArg", "RelSeries.fromListIsChain._proof_3", "GetElem.getElem.congr_simp", "HSub.hSub", "Membership.mem", "RelSeries.fromListIsChain_toFun", "Fin.instOfNat", "RelSeries.length", "Nat.instMod", "List.IsChain", "instHMod", "Prod.mk", "in...
true
_private.Mathlib.Tactic.Hint.0.Mathlib.Tactic.Hint._aux_Mathlib_Tactic_Hint___elabRules_Mathlib_Tactic_Hint_registerHintStx_1._sparseCasesOn_1
Mathlib.Tactic.Hint
[ "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
Graph.IsLoopAt.mono
Mathlib.Combinatorics.Graph.Subgraph
[ "Graph.IsLink.mono", "Graph.IsLoopAt", "PartialOrder.toPreorder", "Preorder.toLE", "Graph", "LE.le", "Graph.instPartialOrder" ]
true
_private.Mathlib.Data.Seq.Basic.0.Stream'.Seq.take.match_1.splitter
Mathlib.Data.Seq.Basic
[ "Stream'.Seq", "instOfNatNat", "Nat", "Stream'.Seq.take.match_1", "OfNat.ofNat", "Nat.succ" ]
true
IsCyclotomicExtension.adjoin_roots_cyclotomic_eq_adjoin_nth_roots
Mathlib.NumberTheory.Cyclotomic.Basic
[ "Subalgebra.instSetLike", "Iff.mpr", "Eq.mpr", "Polynomial.eval", "IsDomain", "Nat.instMulZeroClass", "CommRing", "Polynomial.cyclotomic_ne_zero", "LinearOrderedCommMonoidWithZero.toIsBotZeroClass", "Algebra.algebraMap", "congrArg", "CommSemiring.toSemiring", "AlgHom", "Finset", "Polynom...
true
ExteriorAlgebra.ι_inj._simp_1
Mathlib.LinearAlgebra.ExteriorAlgebra.Basic
[ "ExteriorAlgebra.ι_inj", "CommRing", "Semiring.toModule", "QuadraticMap.instZero", "ExteriorAlgebra", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "instAlgebraCliffordAlgebra", "QuadraticForm", "LinearMap.instFunLike", "AddCommGroup", "Algebra.toModule", "LinearMap", "CommRin...
false
CategoryTheory.NatTrans.leftOpWhiskerRight_assoc
Mathlib.CategoryTheory.Opposites
[ "CategoryTheory.Functor.op", "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "Eq.mp", "CategoryTheory.Functor.whiskerLeft", "id", "Math...
true
NumberField.IsCMField.complexConj_eq_self_iff
Mathlib.NumberTheory.NumberField.CMField
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "NumberField.IsCMField.zpowers_complexConj_eq_top", "SubsemiringClass.nontrivial", "Lattice.toSemilatticeSup", "Subfield.toAlgebra", "Algebra.algebraMap", "CompleteLattice.toLattice", "NumberField.maximalRealSubfield", "congrArg", "CommSemirin...
true
_private.Mathlib.CategoryTheory.ObjectProperty.ColimitsOfShape.0.CategoryTheory.ObjectProperty.limitsOfShape_isEmpty_iff.match_1_1
Mathlib.CategoryTheory.ObjectProperty.ColimitsOfShape
[ "CategoryTheory.Functor", "CategoryTheory.Limits.LimitPresentation.casesOn", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.LimitPresentation", "CategoryTheory.Functor.category", "CategoryTheory.ObjectProperty.LimitOfShape.casesOn", "CategoryTheory.ObjectProperty.LimitO...
false
IsSemitopologicalSemiring
Mathlib.Topology.Algebra.Ring.Basic
[ "IsSemitopologicalSemiring.mk", "TopologicalSpace", "NonUnitalNonAssocSemiring" ]
true
LieAlgebra.IsKilling.disjoint_ker_weight_corootSpace
Mathlib.Algebra.Lie.Weights.Killing
[ "LieAlgebra.toModule", "Iff.mpr", "LieSubalgebra.lieAlgebra", "Eq.mpr", "Submodule", "instIsPrincipalIdealRingOfIsSemisimpleRing", "SetLike.mem_coe._simp_1", "LieModule.Weight.instFunLike", "Semiring.toModule", "LieAlgebra.IsKilling", "LieRing.toAddCommGroup", "LieSubalgebra.instSetLike", "i...
true
edist_nndist
Mathlib.Topology.MetricSpace.Pseudo.Defs
[ "Eq.mpr", "NNDist.nndist", "Real", "ENNReal.ofNNReal", "ENNReal.ofReal", "congrArg", "PseudoMetricSpace.toNNDist", "id", "dist_nndist", "PseudoMetricSpace", "edist_dist", "PseudoMetricSpace.toEDist", "ENNReal.ofReal_coe_nnreal", "ENNReal", "Eq.refl", "Dist.dist", "PseudoMetricSpace.t...
true
List.forM_nil
Init.Data.List.Control
[ "Pure.pure", "ForM.forM", "Monad.toApplicative", "Applicative.toPure", "List", "PUnit", "PUnit.unit", "Monad", "Eq", "rfl", "List.instForMOfMonad", "List.nil" ]
true
CategoryTheory.CostructuredArrow.ofCostructuredArrowProjEquivalence.inverse._proof_2
Mathlib.CategoryTheory.Comma.Over.Basic
[ "CategoryTheory.Over", "CategoryTheory.Functor", "CategoryTheory.Comma.right", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Over.Hom.left", "CategoryTheory.Comma.left", "CategoryTheory.Functor.comp", "CategoryTheory.CostructuredArrow.hom", "CategoryTheory.O...
false
PNat.XgcdType.mk.sizeOf_spec
Mathlib.Data.PNat.Xgcd
[ "PNat.XgcdType._sizeOf_inst", "instOfNatNat", "PNat.XgcdType", "instHAdd", "PNat.XgcdType.mk", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "instSizeOfNat", "OfNat.ofNat", "Eq" ]
true
linearOrderOfSTO._proof_1
Mathlib.Order.RelClasses
[ "asymm_of", "asymm_of_isTrans_of_irrefl", "irrefl_of", "IsStrictOrder.toIsTrans", "Eq.rec", "id", "Or.resolve_left", "IsStrictTotalOrder", "Iff", "IsStrictTotalOrder.toIsStrictOrder", "Iff.intro", "Or", "Or.imp", "Or.elim", "Eq.symm", "trichotomous_of", "Eq", "IsStrictTotalOrder.to...
false
CategoryTheory.ProjectiveResolution.quasiIso._autoParam
Mathlib.CategoryTheory.Preadditive.Projective.Resolution
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
bihimp_comm
Mathlib.Order.SymmDiff
[ "congrArg", "GeneralizedHeytingAlgebra.toHImp", "SemilatticeInf.toMin", "inf_comm", "bihimp", "GeneralizedHeytingAlgebra.toLattice", "True", "eq_self", "of_eq_true", "congrFun'", "Eq", "GeneralizedHeytingAlgebra", "Min.min", "Eq.trans", "HImp.himp", "Lattice.toSemilatticeInf" ]
true
Lean.Expr.proj.elim
Lean.Expr
[ "PULift.up", "Lean.Expr", "Nat", "Lean.Expr.ctorElim", "Lean.Name", "Lean.Expr.ctorIdx", "Eq.symm", "Eq", "Lean.Expr.proj" ]
false
CategoryTheory.PreZeroHypercoverFamily._sizeOf_inst
Mathlib.CategoryTheory.Sites.Hypercover.ZeroFamily
[ "CategoryTheory.PreZeroHypercoverFamily._sizeOf_1", "SizeOf.mk", "SizeOf", "CategoryTheory.PreZeroHypercoverFamily", "CategoryTheory.Category" ]
false
Lean.Lsp.InitializationOptions.ctorIdx
Lean.Data.Lsp.InitShutdown
[ "Lean.Lsp.InitializationOptions", "Nat" ]
false
instDecidableIrrationalSqrtOfNatReal
Mathlib.NumberTheory.Real.Irrational
[ "instDecidableNot", "Real", "Decidable", "instMulNat", "instOfNatNat", "Nat.instDecidablePredIsSquare", "Irrational", "Nat", "IsSquare", "decidable_of_iff'", "Real.sqrt", "OfNat.ofNat", "irrational_sqrt_ofNat_iff", "instOfNatAtLeastTwo", "Not", "Nat.AtLeastTwo", "Real.instNatCast" ]
true
mul_le_mul_of_nonpos_of_nonneg'
Mathlib.Algebra.Order.Ring.Unbundled.Basic
[ "mul_le_mul_of_nonpos_right", "HMul.hMul", "Preorder.toLE", "AddRightMono", "Distrib.toAdd", "LE.le", "instDistribOfSemiring", "MulPosMono", "ExistsAddOfLE", "AddRightReflectLE", "PosMulMono", "Distrib.toMul", "Semiring", "Zero.toOfNat0", "LE.le.trans", "OfNat.ofNat", "mul_le_mul_of_...
true
ZeroAtInftyContinuousMap.rec
Mathlib.Topology.ContinuousMap.ZeroAtInfty
[ "ContinuousMap", "nhds", "Filter.cocompact", "TopologicalSpace", "Filter.Tendsto", "ZeroAtInftyContinuousMap.mk", "Zero.toOfNat0", "ContinuousMap.toFun", "ZeroAtInftyContinuousMap", "OfNat.ofNat", "Zero" ]
false