name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
686
allowCompletion
bool
2 classes
AddMonoidAlgebra.toDirectSum_sub
Mathlib.Algebra.MonoidAlgebra.ToDirectSum
[ "AddGroupWithOne.toAddGroup", "HSub.hSub", "AddCommGroup.toAddGroup", "AddMonoidAlgebra.addAddCommGroup", "DirectSum.instAddCommGroup", "SubNegMonoid.toSub", "NonUnitalNonAssocSemiring.toAddCommMonoid", "instHSub", "AddGroup.toSubNegMonoid", "Finsupp.toDFinsupp_sub", "NonAssocSemiring.toNonUnita...
true
RelLowerSet.rec
Mathlib.Order.Defs.Unbundled
[ "IsRelLowerSet", "RelLowerSet.mk", "LE", "RelLowerSet", "Set" ]
false
ContinuousMapZero.mk.congr_simp
Mathlib.Topology.ContinuousMap.ContinuousMapZero
[ "ContinuousMap", "Eq.rec", "ContinuousMapZero", "TopologicalSpace", "Eq.ndrec", "Zero.toOfNat0", "Eq.refl", "ContinuousMapZero.mk", "OfNat.ofNat", "Eq", "ContinuousMap.instFunLike", "DFunLike.coe", "Zero" ]
true
_private.Mathlib.Topology.LocalAtTarget.0.TopologicalSpace.IsOpenCover.isHomeomorph_iff_restrictPreimage._simp_1_1
Mathlib.Topology.LocalAtTarget
[ "isHomeomorph_iff_isEmbedding_surjective", "TopologicalSpace", "And", "propext", "Topology.IsEmbedding", "Eq", "Function.Surjective", "IsHomeomorph" ]
false
Std.Internal.IO.Process.ResourceUsageStats.sharedMemorySizeKb
Std.Internal.Async.Process
[ "UInt64", "Std.Internal.IO.Process.ResourceUsageStats" ]
true
_private.Mathlib.MeasureTheory.Covering.LiminfLimsup.0.blimsup_cthickening_mul_ae_eq._simp_1_1
Mathlib.MeasureTheory.Covering.LiminfLimsup
[ "Set.Ioi", "Preorder.toLT", "Membership.mem", "Set.mem_Ioi", "LT.lt", "propext", "Eq", "Set.instMembership", "Preorder", "Set" ]
false
_private.Mathlib.Data.Finset.Empty.0.Finset.notMem_empty._simp_1_2
Mathlib.Data.Finset.Empty
[ "False", "Multiset.notMem_zero", "eq_false", "Membership.mem", "Multiset", "Multiset.instMembership", "Zero.toOfNat0", "OfNat.ofNat", "Eq", "Multiset.instZero" ]
false
AlgebraNorm.mk._flat_ctor
Mathlib.Analysis.Normed.Unbundled.AlgebraNorm
[ "AddGroup.toSubtractionMonoid", "Norm.norm", "NegZeroClass.toNeg", "SeminormedRing.toNorm", "Real.instLE", "Real", "instHSMul", "HMul.hMul", "AddMonoid.toAddSemigroup", "SeminormedCommRing", "Ring.toNonAssocRing", "Real.instZero", "SeminormedCommRing.toCommRing", "NonUnitalNonAssocRing.toA...
false
Lean.LocalDecl.ctorElim
Lean.LocalContext
[ "Lean.LocalDecl.ctorElimType", "Lean.LocalDecl.cdecl", "Lean.LocalDecl.ldecl", "Lean.LocalDeclKind", "Lean.Expr", "Lean.FVarId", "Lean.LocalDecl.ctorIdx", "Nat", "Bool", "Eq.ndrec", "Lean.Name", "Lean.LocalDecl.casesOn", "Lean.LocalDecl", "PULift.down", "Lean.BinderInfo", "Eq" ]
false
inf_eq_and_sup_eq_iff
Mathlib.Order.Lattice
[ "Eq.mpr", "Lattice", "Lattice.toSemilatticeSup", "instReflLe", "congrArg", "and_self", "inf_of_le_left", "PartialOrder.toPreorder", "Preorder.toLE", "Std.le_refl._simp_1", "SemilatticeInf.toPartialOrder", "SemilatticeSup.toMax", "Eq.mp", "id", "sup_idem", "SemilatticeInf.toMin", "LE....
true
Lean.Parser.Term.strictImplicitRightBracket.parenthesizer
Lean.Parser.Term.Basic
[ "Lean.Parser.group.parenthesizer", "Lean.PrettyPrinter.Parenthesizer", "Lean.PrettyPrinter.Parenthesizer.atomic.parenthesizer", "Lean.PrettyPrinter.Parenthesizer.andthen.parenthesizer", "Lean.Parser.symbol.parenthesizer", "Lean.PrettyPrinter.Parenthesizer.orelse.parenthesizer" ]
true
Affine.Triangle.toPolygon_toTriangle
Mathlib.Geometry.Polygon.Basic
[ "AddCommGroup.toAddCommMonoid", "AddCommGroup.toAddGroup", "AddCommGroup", "instOfNatNat", "Polygon.toTriangle", "Function.Embedding", "Affine.Triangle.toPolygon_hasNondegenerateVertices", "Nat", "Polygon", "AddTorsor", "Affine.Triangle", "Eq.refl", "Affine.Triangle.toPolygon", "Module", ...
true
Function.range_eq_image_or_of_mulSupport_subset
Mathlib.Algebra.Notation.Support
[ "One", "Set.image_mono", "HasSubset.Subset.trans", "Insert.insert", "Function.range_subset_insert_image_mulSupport", "Set.instIsTransSubset", "HasSubset.Subset", "Set.instInsert", "Function.mulSupport", "One.toOfNat1", "Set.image", "Or", "Set.range", "OfNat.ofNat", "_private.Mathlib.Alge...
true
_private.Mathlib.MeasureTheory.Group.FundamentalDomain.0.MeasureTheory._aux_Mathlib_MeasureTheory_Group_FundamentalDomain___unexpand_AddAction_orbitRel_1
Mathlib.MeasureTheory.Group.FundamentalDomain
[ "Pure.pure", "cond", "Lean.TSyntax", "Unit.unit", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Syntax.matchesIdent", "Lean.Name.mkNum", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "Lean.PrettyPrinter.UnexpandM", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Sy...
false
DomAddAct.instFaithfulVAddForallOfNontrivial
Mathlib.GroupTheory.GroupAction.DomAct.Basic
[ "Nontrivial", "DomAddAct.mk", "False", "Mathlib.Tactic.Contrapose.contrapose₂", "Function.update", "Equiv.instEquivLike", "eq_false", "congrArg", "DomAddAct.instVAddForall", "Exists", "FaithfulVAdd.mk", "Eq.mp", "VAdd", "id", "Equiv", "Ne", "DomAddAct", "FaithfulVAdd", "FaithfulV...
true
_private.Mathlib.Topology.Homotopy.Basic.0.ContinuousMap.Homotopic.prodMk.match_1_1
Mathlib.Topology.Homotopy.Basic
[ "ContinuousMap", "Nonempty.intro", "TopologicalSpace", "Nonempty.casesOn", "ContinuousMap.Homotopy", "ContinuousMap.Homotopic" ]
false
CategoryTheory.StrictPseudofunctorCore.map₂_right_unitor._autoParam
Mathlib.CategoryTheory.Bicategory.Functor.StrictPseudofunctor
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.Name.mkStr2", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
Symmetric.flip_eq
Mathlib.Logic.Relation
[ "Symmetric", "flip", "funext₂", "propext", "Symmetric.iff", "Eq" ]
true
affineHomeomorph._proof_1
Mathlib.Topology.Algebra.Field
[ "Eq.mpr", "instHDiv", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "CommRing.toNonUnitalCommRing", "AddGroupWithOne.toAddGroup", "congrArg", "HSub.hSub", "DivisionSemiring.toGroupWithZero", "NonUnitalNonAssocSemiring.toMulZeroClass", "Field.toDivisionRing", "DivisionRing.toDiv...
false
Nat.ofDigits_eq_sum_mapIdx
Mathlib.Data.Nat.Digits.Lemmas
[ "Nat.ofDigits_eq_sum_mapIdx_aux", "List.mapIdx", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "MulOne.toOne", "List.zipWith", "Nat.instMulZeroClass", "HMul.hMul", "List.zipWith_map_right", "MulZeroClass.toMul", "Monoid.toMulOneClass", "congrArg", "List.map", "Nat.instMonoid", "Na...
true
HomRel.FactorsThroughLocalization.strictUniversalPropertyFixedTarget._proof_5
Mathlib.CategoryTheory.Localization.Quotient
[ "CategoryTheory.MorphismProperty", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HomRel", "CategoryTheory.MorphismProperty.IsInvertedBy", "CategoryTheory.Functor.map", "HomRel.FactorsThroughLocalization", "CategoryTheory.Category.toCategoryStruct", "CategoryThe...
false
AddSubgroup.index_eq_zero_iff_infinite
Mathlib.GroupTheory.Index
[ "False", "eq_false", "congrArg", "AddSubgroup.index", "not_isEmpty_of_nonempty", "Nat.card", "instOfNatNat", "false_or", "IsEmpty", "AddSubgroup", "iff_self", "HasQuotient.Quotient", "AddGroup", "Iff", "instNonemptyOfInhabited", "Nat", "QuotientAddGroup.instHasQuotientAddSubgroup", ...
true
_private.Mathlib.RingTheory.MvPolynomial.MonomialOrder.0.MonomialOrder.degree_add_le._simp_1_2
Mathlib.RingTheory.MvPolynomial.MonomialOrder
[ "Nat.instMulZeroClass", "MvPolynomial.notMem_support_iff", "CommSemiring.toSemiring", "Finset", "NonUnitalNonAssocSemiring.toMulZeroClass", "Membership.mem", "MvPolynomial.support", "MvPolynomial.coeff", "CommSemiring", "Finset.instSetLike", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "Nat...
false
TopologicalSpace.Compacts.coe_toCloseds
Mathlib.Topology.Sets.Compacts
[ "TopologicalSpace.Compacts.toCloseds", "TopologicalSpace.Closeds.instSetLike", "TopologicalSpace", "SetLike.coe", "TopologicalSpace.Compacts.instSetLike", "T2Space", "Eq.refl", "Eq", "TopologicalSpace.Closeds", "TopologicalSpace.Compacts", "Set" ]
true
_private.Mathlib.CategoryTheory.Quotient.Preadditive.0.CategoryTheory.Quotient.Preadditive.add._simp_1
Mathlib.CategoryTheory.Quotient.Preadditive
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HomRel", "CategoryTheory.HomRel.CompClosure", "CategoryTheory.HomRel.compClosure_iff_self", "CategoryTheory.HomRel.IsStableUnderPostcomp", "propext", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.HomRel.IsStableUnderPrecomp", "...
false
ULift.addLeftCancelSemigroup.eq_1
Mathlib.Algebra.Group.ULift
[ "Equiv.instEquivLike", "AddLeftCancelSemigroup", "ULift.addLeftCancelSemigroup", "ULift", "Equiv.ulift", "ULift.add", "Equiv", "ULift.addLeftCancelSemigroup._proof_1", "Function.Injective.addLeftCancelSemigroup", "AddSemigroup.toAdd", "AddLeftCancelSemigroup.toAddSemigroup", "ULift.addCommSemi...
true
ModuleCat.MonModuleEquivalenceAlgebra.Algebra_of_Mon_._proof_5
Mathlib.CategoryTheory.Monoidal.Internal.Module
[ "CommRing", "ModuleCat", "AddCommGroup.toAddCommMonoid", "LinearMap.toAddHom", "AddHom.map_add'", "ModuleCat.monoidalCategory", "CategoryTheory.MonObj.one", "instHAdd", "ModuleCat.isAddCommGroup", "HAdd.hAdd", "ModuleCat.moduleCategory", "ModuleCat.carrier", "CategoryTheory.MonoidalCategoryS...
false
String.Slice.Pattern.Model.matchAt?_eq_none_iff
Init.Data.String.Lemmas.Pattern.Basic
[ "Eq.mpr", "False", "String.Slice.Pattern.Model.ForwardPatternModel", "Classical.not_not._simp_1", "Option.ctorIdx", "congrArg", "False.elim", "noConfusion_of_Nat", "true_iff", "Option.some", "String.Slice", "Exists", "id", "false_iff", "String.Slice.Pattern.Model.matchAt?", "Option.non...
true
SeparatelyContinuousMul.continuous_mul_const
Mathlib.Topology.Algebra.Monoid.Defs
[ "Continuous", "HMul.hMul", "Mul", "TopologicalSpace", "SeparatelyContinuousMul", "instHMul" ]
true
List.reverse_replicate
Init.Data.List.Lemmas
[ "Iff.mpr", "Eq.mpr", "List.replicate", "congrArg", "List.length_reverse", "Membership.mem", "id", "List.mem_reverse", "List.length_replicate", "List", "And", "List.instMembership", "Nat", "And.intro", "List.reverse", "Iff.mp", "Eq.refl", "List.eq_replicate_iff", "Eq", "List.len...
true
CategoryTheory.Monad.monadMonEquiv._proof_28
Mathlib.CategoryTheory.Monad.EquivMon
[ "CategoryTheory.Monad.monadMonEquiv._proof_22", "CategoryTheory.Monad", "CategoryTheory.Functor", "CategoryTheory.Mon.Hom", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.NatTrans.ext'", "Quiver.Hom", "congrArg", "CategoryTheory.MonObj.instIsMonHomId", "CategoryTheory.Mon.Hom.hom", "C...
false
ConditionallyCompleteLinearOrder.compare_eq_compareOfLessAndEq
Mathlib.Order.ConditionallyCompleteLattice.Defs
[ "Preorder.toLT", "Lattice.toSemilatticeSup", "PartialOrder.toPreorder", "Ordering", "ConditionallyCompleteLinearOrder.toDecidableLT", "compareOfLessAndEq", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", "Ord.compare", "ConditionallyCompleteLinearOrder.toDecidableEq", "Semilatti...
true
ProperSpace.of_isCompact_closedBall_of_le
Mathlib.Topology.MetricSpace.ProperSpace
[ "le_max_right", "Real.instLE", "Real", "Metric.isClosed_closedBall", "PseudoMetricSpace.toUniformSpace", "LE.le", "ProperSpace", "PseudoMetricSpace", "Real.instMax", "IsCompact.of_isClosed_subset", "Max.max", "ProperSpace.mk", "Metric.closedBall_subset_closedBall", "Metric.closedBall", "...
true
SimpleGraph.Walk.lastDart_mem_darts._simp_1
Mathlib.Combinatorics.SimpleGraph.Walks.Traversal
[ "SimpleGraph.Walk.lastDart", "SimpleGraph.Walk", "Membership.mem", "SimpleGraph.Dart", "SimpleGraph", "SimpleGraph.Walk.darts", "List", "List.instMembership", "True", "eq_true", "SimpleGraph.Walk.Nil", "Eq", "Not", "SimpleGraph.Walk.lastDart_mem_darts" ]
false
Locale.PT.instTopologicalSpace._proof_3
Mathlib.Topology.Order.Category.FrameAdjunction
[ "Iff.mpr", "Eq.mpr", "Iff.of_eq", "congrArg", "iSup", "Prop.instCompleteLattice", "setOf", "Set.sUnion", "Membership.mem", "Exists", "CompleteLattice.toConditionallyCompleteLattice", "Prop.instCompleteLinearOrder", "id", "Set.setOf_exists", "ConditionallyCompleteLinearOrder.toConditional...
false
_private.Batteries.Data.RBMap.WF.0.Batteries.RBNode.Balanced.reverse.match_1_4
Batteries.Data.RBMap.WF
[ "Batteries.RBNode", "Unit.unit", "HEq.refl", "Batteries.RBNode.Balanced.below.nil", "Batteries.RBNode.nil", "instOfNatNat", "Batteries.RBNode.Balanced.nil", "Batteries.RBNode.Balanced.black", "instHAdd", "Batteries.RBNode.Balanced.red", "Unit", "Batteries.RBColor.red", "HAdd.hAdd", "Batter...
false
_private.Lean.Elab.StructInst.0.Lean.Elab.Term.StructInst.mkCtorHeader.match_4
Lean.Elab.StructInst
[ "MProd.casesOn", "Lean.MVarId", "Lean.Expr", "MProd.mk", "Array", "MProd" ]
false
_private.Init.Data.Int.DivMod.Lemmas.0.Int.fdiv_eq_ediv._simp_1_3
Init.Data.Int.DivMod.Lemmas
[ "False", "Int", "LE.le", "Int.negSucc_not_nonneg", "instOfNat", "Nat", "propext", "Int.negSucc", "OfNat.ofNat", "Eq", "Int.instLEInt" ]
false
Submodule.starProjection_singleton
Mathlib.Analysis.InnerProductSpace.Projection.Basic
[ "Algebra.cast", "Iff.mpr", "NormedCommRing.toNormedRing", "AddGroup.toSubtractionMonoid", "Norm.norm", "Mathlib.Tactic.FieldSimp.zpow'_one", "Eq.mpr", "Mathlib.Tactic.Module.NF.eval_algebraMap", "GroupWithZero.toMonoidWithZero", "InnerProductSpace.toNormedSpace", "instDecidableNot", "Mathlib.T...
true
Finset.measurable_range_sup'
Mathlib.MeasureTheory.Order.Lattice
[ "Eq.mpr", "Finset.mem_range._simp_1", "Nat.instOne", "Finset", "Finset.nonempty_range_add_one", "PartialOrder.toPreorder", "Measurable", "Preorder.toLE", "Membership.mem", "SemilatticeInf.toPartialOrder", "SemilatticeSup.toMax", "DistribLattice.toLattice", "id", "instOfNatNat", "LE.le", ...
true
AddSubgroup.coe_add_of_left_le_normalizer_right
Mathlib.Algebra.Group.Subgroup.Pointwise
[ "neg_add_rev", "Set.Subset.antisymm", "AddGroup.toSubtractionMonoid", "Eq.mpr", "NegZeroClass.toNeg", "AddSubgroup.instCompleteLattice", "AddSubgroup.closure_induction''", "Lattice.toSemilatticeSup", "AddSubmonoidClass.toAddMemClass", "add_neg_cancel_left", "AddMonoid.toAddSemigroup", "congrAr...
true
ContinuousMapZero.instStarRing._proof_3
Mathlib.Topology.ContinuousMap.ContinuousMapZero
[ "ContinuousMapZero.instStarRing._proof_1", "CommSemiring.toSemiring", "ContinuousStar", "ContinuousMap", "NonUnitalNonAssocSemiring.toMulZeroClass", "toContinuousMap", "StarAddMonoid.toInvolutiveStar", "ContinuousMapZero", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "StarRing.to...
false
Mathlib.Tactic.BicategoryLike.AtomIso.recOn
Mathlib.Tactic.CategoryTheory.Coherence.Datatypes
[ "Mathlib.Tactic.BicategoryLike.AtomIso.rec", "Lean.Expr", "Mathlib.Tactic.BicategoryLike.Mor₁", "Mathlib.Tactic.BicategoryLike.AtomIso.mk", "Mathlib.Tactic.BicategoryLike.AtomIso" ]
false
MeasureTheory.Integrable.integral_norm_condDistrib_map
Mathlib.Probability.Kernel.CondDistrib
[ "Norm.norm", "Eq.mpr", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "StandardBorelSpace", "Real", "MeasureTheory.Measure", "AEMeasurable", "ProbabilityTheory.definition._proof_1._@.Mathlib.Probability.Kernel.CondDistrib.2261733823._hygCtx._hyg.2", "Real.instRCLike", ...
true
CategoryTheory.SmallObject.SuccStruct.extendToSucc.objSuccIso
Mathlib.CategoryTheory.SmallObject.Iteration.ExtendToSucc
[ "CategoryTheory.Functor", "Order.succ", "LinearOrder", "PartialOrder.toPreorder", "CategoryTheory.SmallObject.SuccStruct.extendToSucc.obj_succ_eq", "CategoryTheory.eqToIso", "Preorder.toLE", "Membership.mem", "SemilatticeInf.toPartialOrder", "Set.Elem", "DistribLattice.toLattice", "CategoryThe...
true
SchwartzMap.smulLeftCLM.eq_1
Mathlib.Analysis.Distribution.SchwartzSpace.Basic
[ "NormedCommRing.toNormedRing", "NormedCommRing.toSeminormedCommRing", "Real", "SchwartzMap.smulLeftCLM._proof_1", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "NormedRing.toRing", "NormedSpace.toIsBoundedSMul", "SchwartzMap.smulLeftCLM._proof_2", "NormedSpace", "SchwartzMap.instModule", "Rea...
true
Nat.Partrec.Code.primrec_pappAck
Mathlib.Computability.Ackermann
[ "Eq.mpr", "Nat.recAux", "Nat.Partrec.Code.primrec_pappAck_step", "congrArg", "Primrec.snd", "Primcodable.ofDenumerable", "HEq.refl", "Nat.Partrec.Code", "Nat.rec", "Eq.casesOn", "instOfNatNat", "Nat.Partrec.Code.succ", "Nat.Partrec.Code.pappAck", "Primcodable.prod", "Primrec", "funext"...
true
_private.Mathlib.NumberTheory.FLT.Three.0.FermatLastTheoremForThreeGen.Solution.y
Mathlib.NumberTheory.FLT.Three
[ "_private.Mathlib.NumberTheory.FLT.Three.0.FermatLastTheoremForThreeGen.Solution'.b", "_private.Mathlib.NumberTheory.FLT.Three.0.FermatLastTheoremForThreeGen.Solution.toSolution'", "Units.val", "Semigroup.toMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "_private.Mathlib.NumberTheor...
true
ProbabilityTheory.geometricPMFRealSum
Mathlib.Probability.Distributions.Geometric
[ "Iff.mpr", "AddGroup.toSubtractionMonoid", "Real.partialOrder", "Real.instLE", "Real", "instHDiv", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "GroupWithZero.toDivisionMonoid", "InvOneClass.toOne", "HMul.hMul", "GroupWithZero.toDivInvMonoid", "DivisionCommMonoid.toDivisionMonoid", "DivI...
true
ContMDiff.piecewise_Iic
Mathlib.Geometry.Manifold.ContMDiff.Basic
[ "Real.instIsOrderedRing", "Eq.mpr", "frontier", "Real.partialOrder", "Real", "Set.Ioi", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Set.nonempty_Ioi._simp_1", "chartedSpaceSelf", "NormedSpace", "MulZeroClass.toMul", "Real.denselyNormedField", "instNoMaxOrderOfNontrivial", "congrArg",...
true
CategoryTheory.Adjunction.functorialityCounit._proof_2
Mathlib.CategoryTheory.Adjunction.Limits
[ "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "CategoryTheory.Limits.Cocone.precompose", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Functor.rightUnitor", "CategoryTheory.Functor...
false
Submodule.map_comap_subtype
Mathlib.Algebra.Module.Submodule.Map
[ "Submodule", "RingHomSurjective.ids", "Submodule.addCommMonoid", "LinearMap.instFunLike", "Subtype.casesOn", "Membership.mem", "_private.Mathlib.Algebra.Module.Submodule.Map.0.Submodule.map_comap_subtype.match_1_1", "Subtype", "Submodule.module", "LinearMap", "AddCommMonoid", "Subtype.mk", "...
true
LinearPMap.adjointDomainMkCLMExtend._proof_6
Mathlib.Analysis.InnerProductSpace.LinearPMap
[ "NormedCommRing.toSeminormedCommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "instSMulOfMul", "MulZeroClass.toMul", "IsSemitopologicalRing.toIsSemitopologicalSemiring", "SeparatelyContinuousMul.to_continuousSMul", "IsTopologicalDivisionRing.toIsTopologicalRing", "PseudoMetricSpace.toUniform...
false
CategoryTheory.FreeBicategory.Hom₂
Mathlib.CategoryTheory.Bicategory.Free
[ "CategoryTheory.FreeBicategory.Hom₂.vcomp", "Quiver.Hom", "CategoryTheory.FreeBicategory.Hom₂.right_unitor_inv", "CategoryTheory.FreeBicategory.Hom₂.associator", "CategoryTheory.FreeBicategory.quiver", "CategoryTheory.FreeBicategory", "CategoryTheory.FreeBicategory.Hom₂.associator_inv", "CategoryTheor...
true
instIsLeftAdjointSSetTopCatToTop
Mathlib.AlgebraicTopology.SingularSet
[ "Opposite", "SSet.toTop", "TopCat.toSSet", "TopCat.instCategory", "CategoryTheory.Functor.category", "SSet", "CategoryTheory.Functor.IsLeftAdjoint", "sSetTopAdj", "CategoryTheory.types", "SimplexCategory", "CategoryTheory.Adjunction.isLeftAdjoint", "CategoryTheory.Category.opposite", "TopCat...
true
RegularExpression.char.elim
Mathlib.Computability.RegularExpressions
[ "PULift.up", "RegularExpression", "RegularExpression.char", "Nat", "RegularExpression.ctorElim", "Eq.symm", "Eq", "RegularExpression.ctorIdx" ]
false
_private.Mathlib.Data.List.PeriodicityLemma.0.List.HasPeriod.factor._proof_1_6
Mathlib.Data.List.PeriodicityLemma
[ "Lean.RArray.leaf", "False", "congrArg", "Classical.byContradiction", "Nat.not_le_eq", "Lean.RArray.branch", "id", "False.casesOn", "instOfNatNat", "LE.le", "instLENat", "Nat.Linear.Expr.num", "Bool.true", "List", "instHAdd", "Nat.Linear.Expr.eq_of_toNormPoly_eq", "Nat.Linear.ExprCns...
false
AlgebraicGeometry.Scheme.IdealSheafData.inclusion.congr_simp
Mathlib.AlgebraicGeometry.IdealSheaf.Subscheme
[ "AlgebraicGeometry.Scheme.IdealSheafData.inclusion", "AlgebraicGeometry.Scheme", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "PartialOrder.toPreorder", "AlgebraicGeometry.Scheme.IdealSheafData.subscheme", "Preorder.toLE", "LE.le", "AlgebraicGeometry.Scheme.IdealSheafData.instPartialOrder...
true
Std.Sat.AIG.IsPrefix_push._simp_1
Std.Sat.AIG.LawfulOperator
[ "Std.Sat.AIG.Decl", "Array.push", "Std.Sat.AIG.IsPrefix_push", "Array", "Std.Sat.AIG.IsPrefix", "True", "eq_true", "Eq" ]
false
Mathlib.Tactic.BicategoryCoherence.LiftHom.mk._flat_ctor
Mathlib.Tactic.CategoryTheory.BicategoryCoherence
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.FreeBicategory.of", "Mathlib.Tactic.BicategoryCoherence.LiftHom", "CategoryTheory.Bicategory.toCategoryStruct", "Mathlib.Tactic.BicategoryCoherence.LiftHom.mk", "CategoryTheory.FreeBicategory.quiver", "CategoryTheory.Bicategory", ...
false
IsRegular.mem_nonZeroDivisors
Mathlib.Algebra.GroupWithZero.NonZeroDivisors
[ "nonZeroDivisorsRight", "MulZeroClass.toMul", "IsRegular", "IsRegular.right", "Membership.mem", "nonZeroDivisors", "IsLeftRegular.mem_nonZeroDivisorsLeft", "IsRightRegular.mem_nonZeroDivisorsRight", "MulZeroOneClass.toMulOneClass", "MonoidWithZero", "SetLike.coe", "MonoidWithZero.toMulZeroOneC...
true
_private.Lean.Server.Completion.CompletionCollectors.0.Lean.Server.Completion.Context.casesOn
Lean.Server.Completion.CompletionCollectors
[ "_private.Lean.Server.Completion.CompletionCollectors.0.Lean.Server.Completion.Context.mk", "Lean.Lsp.DocumentUri", "Nat", "_private.Lean.Server.Completion.CompletionCollectors.0.Lean.Server.Completion.Context", "Lean.Lsp.Position", "_private.Lean.Server.Completion.CompletionCollectors.0.Lean.Server.Compl...
false
Std.TreeMap.Raw.minKey?_insertIfNew_le_self
Std.Data.TreeMap.Raw.Lemmas
[ "Std.TreeMap.Raw.isSome_minKey?_insertIfNew", "Std.TreeMap.Raw.WF.out", "Std.TreeMap.Raw.insertIfNew", "Ordering", "Std.TransCmp", "Std.TreeMap.Raw.WF", "Std.TreeMap.Raw.inner", "Std.TreeMap.Raw", "Bool.true", "Option.get", "Std.TreeMap.Raw.minKey?", "Bool", "Std.DTreeMap.Raw.minKey?_insertI...
true
WithZero.instDivisionMonoid
Mathlib.Algebra.GroupWithZero.WithZero
[ "WithZero.instDivisionMonoid._proof_2", "DivisionMonoid", "DivisionMonoid.toDivInvMonoid", "WithZero", "WithZero.instDivisionMonoid._proof_1", "WithZero.instDivisionMonoid._proof_3", "WithZero.instDivInvMonoid", "DivisionMonoid.mk" ]
true
Nat.clog
Mathlib.Data.Nat.Log
[ "Nat.clog.go", "instOfNatNat", "instHAdd", "And", "HAdd.hAdd", "Nat", "LT.lt", "Nat.decLt", "instAddNat", "instLTNat", "instDecidableAnd", "OfNat.ofNat", "Prod.snd", "ite" ]
true
SheafOfModules.instIsRightAdjointPushforward
Mathlib.Algebra.Category.ModuleCat.Sheaf.PullbackContinuous
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "AddCommGrpCat.instCategory", "Quiver.Hom", "PresheafOfModules.sheafification", "AddMonoid.toAddZeroClass", "CategoryTheory.Functor.category", "SheafOfModules.PullbackConstruction.adjunction", "RingCat.ring", "Catego...
true
Array.idRun_ofFnM
Init.Data.Array.OfFn
[ "Pure.pure", "Array.instAppend", "instNeZeroNatHAdd_1", "Nat.recAux", "Fin.succ", "congrArg", "Monad.toApplicative", "Array.ofFn_succ'", "Array.ofFnM", "Array.ofFn", "LawfulMonad.bind_pure_comp", "Array.ofFnM_succ'", "Fin.instOfNat", "instOfNatNat", "Id.run", "Id", "Applicative.toPur...
true
Std.ExtDHashMap.getD_union
Std.Data.ExtDHashMap.Lemmas
[ "Std.ExtDHashMap.getD", "instLawfulHashableOfLawfulBEq", "Std.ExtDHashMap.inductionOn₂", "Std.DHashMap.getD_union", "LawfulBEq", "Std.ExtDHashMap.instUnionOfEquivBEqOfLawfulHashable", "Std.ExtDHashMap", "Hashable", "instEquivBEqOfLawfulBEq", "Union.union", "BEq", "Eq", "Std.DHashMap" ]
true
Submonoid.comap_strictMono_of_surjective
Mathlib.Algebra.Group.Submonoid.Operations
[ "GaloisInsertion.strictMono_u", "StrictMono", "PartialOrder.toPreorder", "Submonoid.map", "MulOneClass.toMulOne", "Submonoid.comap", "Submonoid.instPartialOrder", "MonoidHomClass", "MulOneClass", "DFunLike.coe", "Function.Surjective", "Submonoid", "FunLike", "Submonoid.giMapComap" ]
true
MeasureTheory.setLIntegral_trim_ae
Mathlib.MeasureTheory.Integral.Lebesgue.Add
[ "Eq.mpr", "MeasureTheory.Measure", "MeasurableSpace.instLE", "MeasurableSet", "AEMeasurable", "congrArg", "MeasureTheory.Measure.trim", "ENNReal.measurableSpace", "MeasureTheory.Measure.restrict", "id", "LE.le", "AEMeasurable.restrict", "MeasurableSpace", "ENNReal", "Eq.refl", "Measure...
true
Lean.CollectLevelParams.visitExpr
Lean.Util.CollectLevelParams
[ "Lean.CollectLevelParams.Visitor", "Inhabited.default", "Lean.Expr", "Lean.CollectLevelParams.State", "Pi.instInhabited", "Lean.CollectLevelParams.instInhabitedState" ]
true
CategoryTheory.ShortComplex.HomologyData.ofEpiMonoFactorisation.rightHomologyData_H
Mathlib.Algebra.Homology.ShortComplex.Abelian
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.Epi", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.Limits.CokernelCofork", "CategoryTheory.Limits.KernelFork", "CategoryTheory.ShortComplex", "Cate...
true
CategoryTheory.Pi.laxMonoidalPi._proof_4
Mathlib.CategoryTheory.Pi.Monoidal
[ "CategoryTheory.Functor.LaxMonoidal.μ_natural_right", "CategoryTheory.Functor", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Pi.monoidalCategory", "congrArg", "CategoryTheory.MonoidalCategory", "CategoryTheory.Pi.ext", ...
false
Lean.withoutModifyingEnv
Lean.MonadEnv
[ "Lean.Environment.unlockAsync", "Lean.withEnv", "MonadFinally", "Monad.toBind", "Bind.bind", "Lean.MonadEnv", "Lean.MonadEnv.getEnv", "Monad", "Lean.Environment" ]
true
sInf_within_of_ordConnected
Mathlib.Order.CompleteLatticeIntervals
[ "Monotone.csInf_image_le", "lowerBounds", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "Exists", "Set.Elem", "Subtype", "Set.OrdConnected.out", "LE.le", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", "Subtype.mono_coe", "Set.Nonempty", "Exists.casesOn",...
true
Real.arccos_eq_pi_div_two
Mathlib.Analysis.SpecialFunctions.Trigonometric.Inverse
[ "AddGroup.toSubtractionMonoid", "Real", "instHDiv", "Real.pi", "Real.arcsin", "Real.instZero", "congrArg", "Real.instDivInvMonoid", "Real.arcsin_eq_zero_iff._simp_1", "Nat.instAtLeastTwoHAddOfNat", "HSub.hSub", "HDiv.hDiv", "Real.instAddGroup", "SubtractionMonoid.toSubNegZeroMonoid", "in...
true
_private.Mathlib.Data.Nat.ChineseRemainder.0.Nat.modEq_list_map_prod_iff._simp_1_5
Mathlib.Data.Nat.ChineseRemainder
[ "and_imp", "And", "propext", "Eq" ]
false
InnerProductSpace.Core.normSq.eq_1
Mathlib.Analysis.InnerProductSpace.Defs
[ "Real", "AddMonoid.toAddSemigroup", "Inner.inner", "Real.instAddMonoid", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "AddMonoid.toZero", "NormedField.toField", "AddZeroClass.toAddZero", "AddCommGroup", "NonUnitalSemiring.toNonUnitalNonAssocSemiring", "PreInnerProductSpace.Core"...
true
Bornology.isBounded_univ
Mathlib.Topology.Bornology.Basic
[ "Set.univ", "BoundedSpace.mk", "BoundedSpace.bounded_univ", "Bornology.IsBounded", "BoundedSpace", "Iff", "Iff.intro", "Bornology" ]
true
Std.Rxi.Iterator.instIteratorLoop.loop.eq_1
Init.Data.Range.Polymorphic.RangeIterator
[ "Pure.pure", "PSigma.snd", "Std.PRange.UpwardEnumerable", "Std.Rxc.Iterator.instIteratorLoop.loop._proof_1", "Std.Rxc.Iterator.instIteratorLoop.loop.match_3", "Std.Rxi.Iterator.mk", "Monad.toApplicative", "Std.Rxi.Iterator.instIteratorLoop.loop", "InvImage", "Std.PRange.UpwardEnumerable.LE", "St...
true
Equiv.group._proof_3
Mathlib.Algebra.Group.TransferInstance
[ "Equiv.apply_symm_apply", "DivInvMonoid.toInv", "Equiv.instEquivLike", "Group", "Equiv", "Group.toDivInvMonoid", "Inv.inv", "Equiv.symm", "Eq", "DFunLike.coe", "EquivLike.toFunLike" ]
false
Metric.gluePremetric._proof_5
Mathlib.Topology.MetricSpace.Gluing
[ "Real", "Real.instZero", "_private.Mathlib.Topology.MetricSpace.Gluing.0.Metric.glueDist_self", "Sum", "Metric.glueDist", "MetricSpace", "Zero.toOfNat0", "OfNat.ofNat", "Eq" ]
false
ContinuousAddEquiv.symm_apply_eq
Mathlib.Topology.Algebra.ContinuousMonoidHom
[ "ContinuousAddEquiv.toAddEquiv", "ContinuousAddEquiv.instEquivLike", "Equiv.symm_apply_eq", "TopologicalSpace", "ContinuousAddEquiv.symm", "Iff", "ContinuousAddEquiv", "AddEquiv.toEquiv", "Eq", "DFunLike.coe", "Add", "EquivLike.toFunLike" ]
true
PreAbstractSimplicialComplex.instSupSet
Mathlib.AlgebraicTopology.SimplicialComplex.Basic
[ "PreAbstractSimplicialComplex.faces", "Finset", "Membership.mem", "SupSet.mk", "SupSet", "PreAbstractSimplicialComplex.mk", "PreAbstractSimplicialComplex", "PreAbstractSimplicialComplex.instSupSet._proof_1", "Set.instMembership", "Set.iUnion", "Set" ]
true
Set.IicExtend
Mathlib.Order.Interval.Set.ProjIcc
[ "LinearOrder", "PartialOrder.toPreorder", "Function.comp", "SemilatticeInf.toPartialOrder", "Set.Elem", "DistribLattice.toLattice", "Set.projIic", "Set.Iic", "instDistribLatticeOfLinearOrder", "Lattice.toSemilatticeInf" ]
true
EMetric.cauchy_iff
Mathlib.Topology.EMetricSpace.Basic
[ "Filter.instMembership", "Eq.mpr", "Preorder.toLT", "Cauchy", "uniformity_basis_edist", "congrArg", "Filter.NeBot", "PartialOrder.toPreorder", "setOf", "Membership.mem", "Exists", "Filter.neBot_iff", "id", "Ne", "Bot.bot", "PseudoEMetricSpace", "Prod.fst", "instZeroENNReal", "GT....
true
TensorAlgebra.ι_eq_zero_iff._simp_1
Mathlib.LinearAlgebra.TensorAlgebra.Basic
[ "CommSemiring.toSemiring", "AddMonoid.toAddZeroClass", "LinearMap.instFunLike", "NonUnitalNonAssocSemiring.toMulZeroClass", "AddZeroClass.toAddZero", "Algebra.toModule", "Algebra.id", "TensorAlgebra", "LinearMap", "instSemiringTensorAlgebra", "IsScalarTower.left", "AddCommMonoid", "instAlgeb...
false
_private.Mathlib.Algebra.Group.Subsemigroup.Operations.0.Subsemigroup.prod_top._simp_1_1
Mathlib.Algebra.Group.Subsemigroup.Operations
[ "Prod.instMul", "Mul", "Membership.mem", "Subsemigroup.mem_prod", "Prod.fst", "And", "Subsemigroup.prod", "Subsemigroup", "propext", "Prod", "Subsemigroup.instSetLike", "Eq", "Prod.snd", "SetLike.instMembership" ]
false
Batteries.RBNode.Any.eq_def
Batteries.Data.RBMap.Basic
[ "Batteries.RBNode", "Eq.mpr", "Batteries.RBNode.fold.match_1", "Batteries.RBNode.below", "False", "congrArg", "Batteries.RBNode.brecOn.eq", "_private.Batteries.Data.RBMap.Basic.0.Batteries.RBNode.fold.match_1.splitter", "Batteries.RBNode.brecOn.go", "id", "Batteries.RBNode.Any", "Batteries.RBN...
true
Lean.Parser.ParserState.ctorIdx
Lean.Parser.Types
[ "Nat", "Lean.Parser.ParserState" ]
false
Asymptotics.isBigOWith_const_one
Mathlib.Analysis.Asymptotics.Lemmas
[ "NormOneClass", "Norm.norm", "Real.instLE", "Real", "One", "HMul.hMul", "Asymptotics.IsBigOWith", "instReflLe", "congrArg", "Filter.Eventually", "Std.le_refl._simp_1", "NormOneClass.norm_one", "Real.semiring", "Norm", "NonAssocSemiring.toMulZeroOneClass", "LE.le", "_private.Mathlib.A...
true
WithBot.noMaxOrder
Mathlib.Order.WithBot
[ "WithBot.some", "WithBot", "WithBot.instLT", "Nonempty.elim", "NoMaxOrder", "cast", "Exists", "NoMaxOrder.mk", "Bot.bot", "NoMaxOrder.exists_gt", "_private.Mathlib.Order.WithBot.0.WithBot.noMaxOrder.match_1", "Unit", "WithBot.bot_lt_coe._simp_2", "_private.Mathlib.Order.WithBot.0.WithBot.i...
true
riemannZeta_neg_nat_eq_bernoulli'
Mathlib.NumberTheory.LSeries.HurwitzZetaValues
[ "Iff.mpr", "AddGroup.toSubtractionMonoid", "Rat.instOfNat", "Eq.mpr", "Polynomial.eval", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCommMonoidWithOne", "MulOne.toOne", "False", "Real", "instHSMul", "neg_div", "instHDiv", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "InvOneClass.toO...
true
Lean.Grind.Nat.le_lo
Init.Grind.Offset
[ "LE.le", "instLENat", "instHAdd", "HAdd.hAdd", "Nat", "Decidable.byContradiction", "instAddNat", "Not", "Nat.decLe", "_private.Init.Grind.Offset.0.Lean.Grind.Nat.le_lo._proof_1_1" ]
true
FixedPoints.minpoly.eval₂'
Mathlib.FieldTheory.Fixed
[ "Subfield.subtype", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "FixedPoints.minpoly", "Group", "NonUnitalNonAssocSemiring.toMulZeroClass", "Membership.mem", "Field.toDivisionRing", "Subtype", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "Polynomial.e...
true
_private.Mathlib.Tactic.DefEqAbuse.0.Lean.MessageData.VisitStep
Mathlib.Tactic.DefEqAbuse
[ "_private.Mathlib.Tactic.DefEqAbuse.0.Lean.MessageData.VisitStep.descend", "_private.Mathlib.Tactic.DefEqAbuse.0.Lean.MessageData.VisitStep.ascend" ]
true
ENNReal.truncateToReal.eq_1
Mathlib.Topology.Instances.ENNReal.Lemmas
[ "Real", "ENNReal.toReal", "ENNReal", "Eq.refl", "ENNReal.instMin", "Eq", "Min.min", "ENNReal.truncateToReal" ]
true
CategoryTheory.groupoidOfElements._proof_4
Mathlib.CategoryTheory.Elements
[ "CategoryTheory.categoryOfElements", "CategoryTheory.Functor.Elements", "CategoryTheory.Functor", "Subtype.mk.congr_simp", "Trans.trans", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Groupoid.inv", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Groupoi...
false
FinBddDistLat.Hom
Mathlib.Order.Category.FinBddDistLat
[ "FinBddDistLat", "_private.Mathlib.Order.Category.FinBddDistLat.0.FinBddDistLat.Hom.mk" ]
true
_private.Mathlib.Tactic.Translate.Reorder.0.Mathlib.Tactic.Translate.depForallDepth
Mathlib.Tactic.Translate.Reorder
[ "Bool.not", "Lean.Expr.brecOn", "Lean.Expr.hasLooseBVar", "Lean.Expr", "Bool.and", "instDecidableEqBool", "instOfNatNat", "instBEqOfDecidableEq", "Lean.Expr.forallE", "Bool.true", "instHAdd", "BEq.beq", "HAdd.hAdd", "Nat", "Bool", "instAddNat", "Lean.Name", "instDecidableEqNat", ...
true