name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
Std.ExtDTreeMap.getKey?_insert_self
Std.Data.ExtDTreeMap.Lemmas
[ "Std.ExtDTreeMap.getKey?", "Std.DTreeMap", "Std.DTreeMap.getKey?_insert_self", "Std.ExtDTreeMap.insert", "Option.some", "Ordering", "Std.TransCmp", "Std.ExtDTreeMap.inductionOn", "Std.ExtDTreeMap", "Eq", "Option" ]
true
Qq.Impl.floatExprAntiquot
Qq.Macro
[ "Pure.pure", "Lean.identKind", "Monad.toApplicative", "_private.Qq.Macro.0.Qq.Impl.floatExprAntiquot.match_5", "_private.Qq.Macro.0.Qq.Impl.floatExprAntiquot.match_3", "Lean.Syntax.Ident", "_private.Qq.Macro.0.Qq.Impl.floatExprAntiquot.match_1", "Lean.TSyntax.mk", "Lean.Syntax", "Array.map", "Le...
true
MeasureTheory.Measure.IsHaarMeasure.sigmaFinite
Mathlib.MeasureTheory.Group.Measure
[ "compactCovering", "MeasureTheory.Measure.IsHaarMeasure", "MeasureTheory.Measure", "Set.univ", "MeasureTheory.SigmaFinite", "iUnion_compactCovering", "Group", "MeasureTheory.Measure.FiniteSpanningSetsIn.mk", "MeasureTheory.Measure.IsHaarMeasure.toIsFiniteMeasureOnCompacts", "isCompact_compactCover...
true
LucasLehmer.X.left_distrib
Mathlib.NumberTheory.LucasLehmer
[ "Mathlib.Tactic.Ring.Common.mul_pf_left", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.Ring.Common.mul_congr", "HMul.hMul", "Nat.rawCast", "ZMod.commRing", "LucasLehmer.X.instMul", "congrArg", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Nat.instAtLeastTw...
true
CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.inverse_obj_mon_one_app
Mathlib.CategoryTheory.Monoidal.Internal.FunctorCategory
[ "CategoryTheory.CommMon.instCategory", "CategoryTheory.Monoidal.monFunctorCategoryEquivalence", "CategoryTheory.Functor", "CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.inverse", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.Func...
true
FreeAddGroup.map._proof_1
Mathlib.GroupTheory.FreeGroup.Basic
[ "Bool.not", "congrArg", "HEq.refl", "List.map", "Prod.mk", "FreeAddGroup.Red.Step.casesOn", "Prod.fst", "List.cons", "instHAppendOfAppend", "List", "FreeAddGroup.Red.Step", "congr", "True", "eq_true", "Bool", "of_eq_true", "Eq.ndrec", "Eq.refl", "HEq", "List.map_append", "Fre...
false
Lean.Parser.Command.protected.parenthesizer
Lean.Parser.Command
[ "Lean.Parser.withCache.parenthesizer", "Lean.Parser.mkAntiquot.parenthesizer", "Lean.PrettyPrinter.Parenthesizer", "instOfNatNat", "Lean.PrettyPrinter.Parenthesizer.leadingNode.parenthesizer", "Bool.true", "Lean.Parser.symbol.parenthesizer", "Nat", "Lean.PrettyPrinter.Parenthesizer.withAntiquot.pare...
true
AddOpposite.instMulZeroClass._proof_1
Mathlib.Algebra.GroupWithZero.Opposite
[ "HMul.hMul", "MulZeroClass.toMul", "MulZeroClass.zero_mul", "MulZeroClass", "AddOpposite.instZero", "AddOpposite", "Zero.toOfNat0", "AddOpposite.unop", "AddOpposite.unop_injective", "OfNat.ofNat", "Eq", "AddOpposite.instMul", "MulZeroClass.toZero", "instHMul" ]
false
CategoryTheory.Limits.isLimitMapConeForkEquiv'
Mathlib.CategoryTheory.Limits.Preserves.Shapes.Kernels
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Functor", "CategoryTheory.Limits.KernelFork.ofι", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.Functor.comp", "CategoryTheory.Limits.walkingParallelPairHomCategory", "Equ...
true
Lean.Parser.Tactic.Grind.ring
Init.Grind.Interactive
[ "Lean.ParserDescr.nonReservedSymbol", "Lean.Name.mkStr5", "instOfNatNat", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "OfNat.ofNat", "Bool.false" ]
true
CompactlySupportedContinuousMapClass.hasCompactSupport
Mathlib.Topology.ContinuousMap.CompactlySupported
[ "outParam", "CompactlySupportedContinuousMapClass", "TopologicalSpace", "DFunLike.coe", "FunLike", "HasCompactSupport", "Zero" ]
true
_private.Init.Data.Vector.OfFn.0.Vector.ofFn_succ._simp_1_1
Init.Data.Vector.OfFn
[ "Decidable", "left_eq_dite_iff", "dite", "propext", "Eq", "Not" ]
false
_private.Mathlib.Topology.Algebra.Module.LinearPMap.0.LinearPMap.closureHasCore._simp_1_2
Mathlib.Topology.Algebra.Module.LinearPMap
[ "And", "Iff", "propext", "Eq", "and_iff_left_iff_imp" ]
false
AddAction.orbitRel.Quotient.addSubgroup_quotient_eq_iff
Mathlib.GroupTheory.GroupAction.Defs
[ "Eq.mpr", "AddAction.orbit", "AddMonoid.toAddSemigroup", "AddAction.orbitRel.Quotient.orbit", "congrArg", "AddAction.instElemOrbit_1", "Quotient.eq''", "AddSubgroup.toAddGroup", "Quotient.mk''", "Membership.mem", "AddAction.instAddAction", "Set.Elem", "id", "Subtype", "AddAction.orbitRel...
true
Nat.sorted_divisorsAntidiagonalList_snd
Mathlib.NumberTheory.Divisors
[ "Nat.divisorsAntidiagonalList", "List.Pairwise", "GT.gt", "Nat", "instLTNat", "Nat.pairwise_divisorsAntidiagonalList_snd", "Prod", "Prod.snd" ]
true
Mathlib.Tactic.BicategoryLike.Normalize.Result.recOn
Mathlib.Tactic.CategoryTheory.Coherence.PureCoherence
[ "Mathlib.Tactic.BicategoryLike.Normalize.Result.mk", "Mathlib.Tactic.BicategoryLike.NormalizedHom", "Mathlib.Tactic.BicategoryLike.Mor₂Iso", "Mathlib.Tactic.BicategoryLike.Normalize.Result", "Mathlib.Tactic.BicategoryLike.Normalize.Result.rec" ]
false
DirectLimit.instNonAssocRingOfRingHomClass._proof_7
Mathlib.Algebra.Colimit.DirectLimit
[ "RingHomClass.toAddMonoidHomClass", "IntCast.intCast", "Preorder.toLE", "DirectLimit.instNonAssocRingOfRingHomClass._proof_6", "NonAssocRing", "Int", "LE.le", "Nat.cast", "DirectLimit", "DirectLimit.instAddCommGroupWithOneOfAddMonoidHomClass", "NonAssocRing.toAddCommGroupWithOne", "Nat", "Is...
false
_private.Init.Data.List.Sort.Impl.0.List.MergeSort.Internal.mergeSortTR₂.run'.eq_3
Init.Data.List.Sort.Impl
[ "instHDiv", "List.MergeSort.Internal.mergeTR", "List.MergeSort.Internal.splitRevInTwo'", "Subtype", "HDiv.hDiv", "instOfNatNat", "_private.Init.Data.List.Sort.Impl.0.List.MergeSort.Internal.mergeSortTR₂.run'.eq_def", "List.cons", "List", "instHAdd", "_private.Init.Data.List.Sort.Impl.0.List.Merg...
true
CategoryTheory.Subgroupoid.full
Mathlib.CategoryTheory.Groupoid.Subgroupoid
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "setOf", "Membership.mem", "CategoryTheory.Groupoid", "CategoryTheory.Subgroupoid.full._proof_2", "And", "CategoryTheory.Subgroupoid", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Groupoid.toCategory", "CategoryTheory.Subgrou...
true
TensorialAt.mkHom₂._proof_4
Mathlib.Geometry.Manifold.VectorBundle.Tensoriality
[ "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "instHSMul", "Prod.normedSpace", "CompleteSpace", "instAddMonoidWithOneENat", "chartedSpaceSelf", "Prod.normedAddCommGroup", "NormedSpace", "mdifferentiable_const", "FiberBundle", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDi...
false
CategoryTheory.hasSeparator_op_iff._simp_1
Mathlib.CategoryTheory.Generator.Basic
[ "CategoryTheory.HasSeparator", "Opposite", "CategoryTheory.HasCoseparator", "propext", "CategoryTheory.Category.opposite", "Eq", "CategoryTheory.hasSeparator_op_iff", "CategoryTheory.Category" ]
false
_private.Mathlib.Combinatorics.SimpleGraph.Paths.0.SimpleGraph.Walk.IsCycle.count_support._proof_1_3
Mathlib.Combinatorics.SimpleGraph.Paths
[ "Lean.Grind.Nat.lt_eq", "SimpleGraph.Walk.support", "SimpleGraph.Walk", "instOfNatNat", "LE.le", "instLENat", "List.tail", "SimpleGraph", "GetElem.getElem", "List.getElem_filter_eq_getElem_getElem_findIdxs._proof_5", "List.findIdxs", "List", "Nat", "List.filter", "LT.lt", "Eq.substr", ...
false
WithConv.instAddAction
Mathlib.Algebra.WithConv
[ "AddAction.mk", "Equiv.instEquivLike", "AddMonoid.toAddSemigroup", "Equiv", "VAdd.mk", "HVAdd.hVAdd", "AddAction", "AddAction.toAddSemigroupAction", "AddSemigroupAction.mk", "AddSemigroupAction.toVAdd", "WithConv.equiv", "WithConv.instAddAction._proof_1", "WithConv.instAddAction._proof_2", ...
true
HomologicalComplex.homotopyCofiber.inlX_d'
Mathlib.Algebra.Homology.HomotopyCofiber
[ "CategoryTheory.Category.assoc", "HomologicalComplex.instCategory", "HomologicalComplex.homotopyCofiber.X", "HomologicalComplex.Hom.f", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "AddCommGroup.toAddCommMonoid", "HomologicalComplex.homotopyCofiber.ext_to_X'", "AddMonoid.toA...
true
Finset.empty_sups
Mathlib.Data.Finset.Sups
[ "Finset.hasSups", "Finset", "SemilatticeSup.toMax", "Finset.instEmptyCollection", "Finset.image₂_empty_left", "Max.max", "EmptyCollection.emptyCollection", "Eq", "SemilatticeSup", "HasSups.sups", "DecidableEq" ]
true
Polynomial.mapAlgEquiv._proof_2
Mathlib.Algebra.Polynomial.AlgebraMap
[ "AlgEquiv.toAlgHom", "AlgEquiv.symm", "congrArg", "AlgHom", "Polynomial.algebraOfAlgebra", "AlgHom.id", "Algebra", "Polynomial.mapAlgHom", "AlgEquiv.symm_comp", "Polynomial", "CommSemiring", "AlgEquiv", "Polynomial.semiring", "True", "eq_self", "of_eq_true", "Semiring", "congrFun'"...
false
ContDiffMapSupportedIn.toBoundedContinuousFunctionCLM._proof_1
Mathlib.Analysis.Distribution.ContDiffMapSupportedIn
[ "ContDiffMapSupportedIn.toBoundedContinuousFunctionLM._proof_4", "NormedCommRing.toSeminormedCommRing", "Real", "Continuous", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "NormedSpace", "ContDiffMapSupportedIn.toBoundedContinuousFunctionLM", "DistribMulAction.t...
false
Matrix.SpecialLinearGroup.toGLPos._proof_4
Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Defs
[ "CommRing", "Matrix.SpecialLinearGroup", "Preorder.toLT", "HMul.hMul", "Monoid.toMulOneClass", "CommSemiring.toSemiring", "Matrix", "NeZero.charZero_one", "LinearOrder", "PartialOrder.toPreorder", "AddGroupWithOne.toAddMonoidWithOne", "IsStrictOrderedRing", "SemilatticeInf.toPartialOrder", ...
false
Function.Injective.noZeroSMulDivisors
Mathlib.Algebra.NoZeroSMulDivisors.Defs
[ "Eq.mpr", "instHSMul", "congrArg", "NoZeroSMulDivisors.eq_zero_or_eq_zero_of_smul_eq_zero", "SMul", "Eq.rec", "id", "NoZeroSMulDivisors.mk", "NoZeroSMulDivisors", "Zero.toOfNat0", "Eq.refl", "HSMul.hSMul", "Or", "Function.Injective", "OfNat.ofNat", "Eq.symm", "Eq", "Or.imp_right", ...
true
Matrix.IsAdjMatrix.symm
Mathlib.Combinatorics.SimpleGraph.AdjMatrix
[ "One", "Matrix", "Matrix.IsAdjMatrix", "Matrix.IsSymm", "Zero" ]
true
Multiset.sup_cons
Mathlib.Data.Multiset.Lattice
[ "Multiset.fold_cons_left", "instCommutativeMax_mathlib", "instAssociativeMax_mathlib", "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "OrderBot", "SemilatticeSup.toMax", "Multiset", "Multiset.cons", "Bot.bot", "Max.max", "SemilatticeSup.toPartialOrder", "Multiset.sup", "Eq...
true
Std.Do.SVal.getThe_here
Std.Do.SPred.SVal
[ "Std.Do.SVal.instGetTyCons", "Std.Do.SVal.StateTuple", "List.cons", "List", "Std.Do.SVal", "Std.Do.SVal.getThe", "Std.Do.SVal.curry", "Eq", "rfl" ]
true
Lean.Doc.PostponedCheck._sizeOf_inst
Lean.Elab.DocString.Builtin.Postponed
[ "Lean.Doc.PostponedCheck", "SizeOf.mk", "SizeOf", "Lean.Doc.PostponedCheck._sizeOf_1" ]
false
subsetConditionallyCompleteLinearOrder._proof_3
Mathlib.Order.CompleteLatticeIntervals
[ "Inhabited.default", "False", "Lattice.toSemilatticeSup", "eq_false", "congrArg", "PartialOrder.toPreorder", "Subtype.instLinearOrder", "false_and", "Classical.propDecidable", "Preorder.toLE", "Membership.mem", "bddAbove_empty._simp_2", "Set.Elem", "DistribLattice.toLattice", "Conditiona...
false
isUpperSet_setOf
Mathlib.Order.UpperLower.Basic
[ "Iff.rfl", "PartialOrder.toPreorder", "Monotone", "setOf", "IsUpperSet", "Preorder.toLE", "Iff", "Prop.partialOrder", "Preorder" ]
true
Lean.Level.PP.Result.offset.elim
Lean.Level
[ "PULift.up", "Lean.Level.PP.Result.ctorElim", "Lean.Level.PP.Result.ctorIdx", "Lean.Level.PP.Result", "Nat", "Eq.symm", "Eq", "Lean.Level.PP.Result.offset" ]
false
_private.Lean.Elab.BuiltinDo.Let.0.Lean.Elab.Do.elabDoLetOrReassign.match_1
Lean.Elab.BuiltinDo.Let
[ "Unit.unit", "Lean.Elab.Do.LetOrReassign.ctorIdx", "Nat.hasNotBit", "Lean.Elab.Do.LetOrReassign.have", "Unit", "_private.Lean.Elab.BuiltinDo.Let.0.Lean.Elab.Do.elabDoLetOrReassign._sparseCasesOn_1", "Lean.Elab.Do.LetOrReassign" ]
false
_private.Mathlib.Data.List.Cycle.0.List.prev_eq_getElem?_idxOf_pred_of_ne_head._proof_1_9
Mathlib.Data.List.Cycle
[ "List.head", "False", "Lean.Grind.nestedProof", "eq_false", "_private.Mathlib.Data.List.Cycle.0.List.prev_eq_getElem?_idxOf_pred_of_ne_head._proof_1_5", "Lean.Grind.iff_eq", "Classical.byContradiction", "HSub.hSub", "List.instGetElem?NatLtLength", "Option.some", "Membership.mem", "List.ne_nil_...
false
_private.Lean.Data.FuzzyMatching.0.Lean.FuzzyMatching.Score.isAwful
Lean.Data.FuzzyMatching
[ "Int16.decLe", "Int16", "instLEInt16", "LE.le", "_private.Lean.Data.FuzzyMatching.0.Lean.FuzzyMatching.Score.awful", "_private.Lean.Data.FuzzyMatching.0.Lean.FuzzyMatching.Score.inner", "Bool", "_private.Lean.Data.FuzzyMatching.0.Lean.FuzzyMatching.Score", "Decidable.decide" ]
true
FreeAddMonoid.lift_ofList
Mathlib.Algebra.FreeMonoid.Basic
[ "FreeAddMonoid.ofList", "FreeAddMonoid.toList", "Equiv.instEquivLike", "List.map", "AddMonoid.toAddZeroClass", "List.sum", "FreeAddMonoid.instAddCancelMonoid", "AddCancelMonoid.toAddRightCancelMonoid", "AddZeroClass.toAddZero", "Equiv", "AddZero.toZero", "FreeAddMonoid.sumAux_eq", "List", ...
true
Array.findIdxM?
Init.Data.Array.Basic
[ "Pure.pure", "instForInOfForIn'", "Monad.toApplicative", "Array.instMembership", "Option.some", "ForInStep.done", "inferInstance", "instDecidableEqBool", "Prod.mk", "ForIn.forIn", "instOfNatNat", "Applicative.toPure", "Membership", "ForInStep", "Prod.fst", "Array", "Bool.true", "Op...
true
_private.Init.Data.Array.Erase.0.Array.eraseIdx_set_lt._proof_2
Init.Data.Array.Erase
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.ofNat_sub_dichotomy", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval"...
false
CategoryTheory.GlueData.recOn
Mathlib.CategoryTheory.GlueData
[ "CategoryTheory.GlueData.mk", "CategoryTheory.Limits.pullback", "CategoryTheory.IsIso", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.pullback.snd", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Limits.HasPullback", "Prod.mk", "Catego...
false
Submodule.mkQL
Mathlib.Topology.Algebra.Module.ContinuousLinearMap.Quotient
[ "Submodule", "Submodule.Quotient.addCommMonoid", "QuotientModule.Quotient.topologicalSpace", "AddCommGroup.toAddCommMonoid", "ContinuousLinearMap.mk", "Submodule.hasQuotient", "AddCommGroup", "Submodule.Quotient.module", "LinearMap", "ContinuousLinearMap", "TopologicalSpace", "HasQuotient.Quot...
true
Lean.Widget.RpcEncodablePacket.type._@.Lean.Server.FileWorker.WidgetRequests.2734021171._hygCtx._hyg.1
Lean.Server.FileWorker.WidgetRequests
[ "Lean.Json", "Lean.Widget.RpcEncodablePacket._@.Lean.Server.FileWorker.WidgetRequests.2734021171._hygCtx._hyg.1" ]
false
Std.DTreeMap.Internal.Impl.min?_keys
Std.Data.DTreeMap.Internal.Lemmas
[ "Std.LawfulOrderOrd", "Eq.mpr", "List.min?", "Std.Internal.List.min?_keys", "Ord", "congrArg", "Std.TransOrd", "Std.LawfulOrderMin", "Std.LawfulOrderLeftLeaningMin", "Std.Internal.List.minKey?", "Std.DTreeMap.Internal.Impl.WF.ordered", "id", "Std.DTreeMap.Internal.Impl.minKey?", "Std.DTree...
true
FractionalIdeal.mem_coeSubmodule._simp_1
Mathlib.RingTheory.FractionalIdeal.Basic
[ "Submodule", "CommRing", "Semiring.toModule", "Algebra.algebraMap", "CommSemiring.toSemiring", "FractionalIdeal.mem_coeSubmodule", "Algebra", "RingHom", "Membership.mem", "Exists", "Algebra.toModule", "Ideal", "NonUnitalNonAssocSemiring.toAddCommMonoid", "And", "CommRing.toCommSemiring",...
false
MeasureTheory.Measure.sInf_caratheodory
Mathlib.MeasureTheory.Measure.MeasureSpace
[ "Eq.mpr", "ENNReal.instAdd", "MeasureTheory.OuterMeasure.boundedBy_caratheodory", "MeasureTheory.Measure", "iInf", "MeasureTheory.OuterMeasure.caratheodory", "MeasureTheory.OuterMeasure.boundedBy", "MeasurableSet", "ENNReal.instAddCommMonoid", "congrArg", "CompletelyDistribLattice.toCompleteLatt...
true
Filter.add_neBot_iff
Mathlib.Order.Filter.Pointwise
[ "Filter.instAdd", "Filter.map₂_neBot_iff", "Filter.NeBot", "instHAdd", "And", "Iff", "HAdd.hAdd", "Filter", "Add" ]
true
Nat.fold_congr._proof_2
Init.Data.Nat.Fold
[ "_private.Init.Data.Nat.Fold.0.Nat.fold_congr._proof_1", "Nat", "LT.lt", "Decidable.byContradiction", "Nat.decLt", "instLTNat", "Eq", "Not" ]
false
_private.Mathlib.Analysis.Calculus.InverseFunctionTheorem.ApproximatesLinearOn.0.ApproximatesLinearOn.surjOn_closedBall_of_nonlinearRightInverse._simp_1_1
Mathlib.Analysis.Calculus.InverseFunctionTheorem.ApproximatesLinearOn
[ "Real.instLE", "Real", "Real.instZero", "dist_le_zero", "LE.le", "MetricSpace", "propext", "Zero.toOfNat0", "MetricSpace.toPseudoMetricSpace", "Dist.dist", "PseudoMetricSpace.toDist", "OfNat.ofNat", "Eq" ]
false
SimpleGraph.exists_isAcyclic_reachable_eq_le_of_le_of_isAcyclic
Mathlib.Combinatorics.SimpleGraph.Acyclic
[ "SimpleGraph.IsAcyclic", "Exists", "LE.le", "_private.Mathlib.Combinatorics.SimpleGraph.Acyclic.0.SimpleGraph.exists_isAcyclic_reachable_eq_le_of_le_of_isAcyclic._proof_1_1", "SimpleGraph", "And", "Exists.casesOn", "Maximal", "SimpleGraph.exists_maximal_isAcyclic_of_le_isAcyclic", "Eq", "SimpleG...
true
CategoryTheory.ComposableArrows.sc'Map_τ₃
Mathlib.Algebra.Homology.ExactSequence
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.ComposableArrows.sc'Map._auto_3", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ComposableArrows.IsComplex", "CategoryTheory.ComposableArrows.map'._proof_8", "PartialOrder.toPreorder", "CategoryTheory.Functor.category"...
true
PNat.pos_of_div_pos
Mathlib.Data.PNat.Basic
[ "PNat.val", "Iff.mpr", "Nat.instMulZeroClass", "Preorder.toLT", "Dvd.dvd", "LinearOrderedCommMonoidWithZero.toIsBotZeroClass", "Nat.instSemigroupWithZero", "congrArg", "PartialOrder.toPreorder", "PNat.ne_zero", "Eq.mp", "Ne", "instOfNatNat", "Nat.instDvd", "Nat", "LT.lt", "Nat.instPa...
true
Scott.isOpen_univ
Mathlib.Topology.OmegaCompletePartialOrder
[ "Set.univ", "Prop.instCompleteLattice", "OmegaCompletePartialOrder", "CompleteLattice.ωScottContinuous.top", "Scott.IsOpen" ]
true
NormedRing.inverse_one_sub_norm
Mathlib.Analysis.Normed.Ring.Units
[ "AddGroup.toSubtractionMonoid", "Real.instIsOrderedRing", "Norm.norm", "Mathlib.Tactic.Ring.Common.neg_zero", "Units.val", "SeminormedAddGroup.toNorm", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.Ring.Common.neg_mul...
true
CategoryTheory.Grpd.forgetToCat._proof_1
Mathlib.CategoryTheory.Groupoid.Grpd.Basic
[ "CategoryTheory.Cat.category", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.toCatHom", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Cat.of", "CategoryTheory.Groupoid", "id", "CategoryTheory.Cat", "CategoryTheory.Grpd.str'", "CategoryTheory.Grpd.category"...
false
_private.Lean.Meta.Sym.Pattern.0.Lean.Meta.Sym.isLevelDefEqS.match_1.eq_6
Lean.Meta.Sym.Pattern
[ "Lean.Level.param", "Lean.Level.imax", "Lean.Level", "Unit", "Lean.Level.zero", "Lean.Name", "Eq.refl", "Lean.Level.succ", "Eq", "Lean.Level.max", "_private.Lean.Meta.Sym.Pattern.0.Lean.Meta.Sym.isLevelDefEqS.match_1" ]
true
_private.Mathlib.MeasureTheory.Function.StronglyMeasurable.Basic.0.MeasureTheory.simpleFuncAux.congr_simp
Mathlib.MeasureTheory.Function.StronglyMeasurable.Basic
[ "MeasurableSingletonClass", "_private.Mathlib.MeasureTheory.Function.StronglyMeasurable.Basic.0.MeasureTheory.simpleFuncAux", "MeasureTheory.SimpleFunc", "Eq.rec", "MeasurableSpace", "Nat", "Eq.refl", "Eq" ]
true
CategoryTheory.WithTerminal.commaFromOver
Mathlib.CategoryTheory.WithTerminal.Cone
[ "CategoryTheory.Over", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.WithTerminal.commaFromOver._proof_7", "Quiver.Hom", "CategoryTheory.WithTerminal.commaFromOver._proof_5", "CategoryTheory.Functor.mk", "CategoryTheory.Functor.category", "CategoryTheory.Functor...
true
CategoryTheory.StrictPseudofunctor.mk.noConfusion
Mathlib.CategoryTheory.Bicategory.Functor.StrictPseudofunctor
[ "CategoryTheory.StrictlyUnitaryPseudofunctor.toPseudofunctor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.StrictPseudofunctor.map_comp._autoParam", "HEq.refl", "CategoryTheory.eqToIso", "CategoryTheory.StrictPseudofunctor.mk", "id", "CategoryTheory.Iso", "CategoryTheor...
false
Lean.Widget.TaggedText.instRpcEncodable
Lean.Widget.TaggedText
[ "Lean.Json", "ReaderT", "Monad.toApplicative", "String", "instMonadLiftT", "Lean.FromJson.fromJson?", "Lean.Widget.instToJsonTaggedText", "ReaderT.instMonad", "Lean.ToJson.toJson", "liftM", "Id", "Lean.instToJsonJson", "Lean.Widget.TaggedText", "ExceptT", "Lean.Server.RpcEncodable.rpcDec...
true
Rel.interedges_eq_biUnion
Mathlib.Combinatorics.SimpleGraph.Density
[ "Finset.mem_filter._simp_1", "Rel.interedges", "instDecidableEqProd", "congrArg", "Finset", "Finset.mem_biUnion._simp_1", "Finset.ext", "Finset.map", "Membership.mem", "Exists", "Function.Embedding.mk", "Prod.mk", "_private.Mathlib.Combinatorics.SimpleGraph.Density.0.Rel.interedges_eq_biUnio...
true
_private.Mathlib.Algebra.Group.Subsemigroup.Membership.0.Subsemigroup.mem_iSup_of_directed.match_1_1
Mathlib.Algebra.Group.Subsemigroup.Membership
[ "Mul", "Membership.mem", "Exists", "Exists.casesOn", "Subsemigroup", "Exists.intro", "Subsemigroup.instSetLike", "SetLike.instMembership" ]
false
sub_add_eq_sub_sub
Mathlib.Algebra.Group.Basic
[ "neg_add_rev", "AddMonoid.toAddSemigroup", "congrArg", "add_assoc", "AddMonoid.toAddZeroClass", "sub_eq_add_neg", "HSub.hSub", "AddZeroClass.toAddZero", "SubtractionMonoid.toSubNegMonoid", "SubtractionCommMonoid.toSubtractionMonoid", "add_comm", "SubtractionCommMonoid.toAddCommMonoid", "SubN...
true
AddGroup.rank_le_of_surjective
Mathlib.GroupTheory.Rank
[ "Eq.mpr", "LE.le.trans_eq", "AddGroup.rank_le", "congrArg", "Finset", "AddMonoid.toAddZeroClass", "AddSubgroup.map_top_of_surjective", "Classical.propDecidable", "Exists", "AddMonoidHom.map_closure", "AddZeroClass.toAddZero", "Finset.coe_image", "AddGroup.rank_spec", "id", "LE.le", "in...
true
CategoryTheory.prod.associator._proof_1
Mathlib.CategoryTheory.Products.Associator
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Prod.mkHom", "CategoryTheory.CategoryStruct.id", "id", "Prod.mk", "Prod.fst", "CategoryTheory.prod'", "Eq.refl", "CategoryTheory.Category.toCategoryStruct", "Prod", "Eq", "Prod.snd", "CategoryTheory.Category" ]
false
RingCon.smulCommClass
Mathlib.RingTheory.Congruence.Basic
[ "RingCon.toCon", "RingCon.instSMulQuotient", "instHSMul", "instSMulOfMul", "HMul.hMul", "IsScalarTower", "RingCon.instMulQuotient", "SMul", "Quotient.mk''", "RingCon", "Quotient.ind₂'", "MulOne.toMul", "RingCon.Quotient", "congr_arg", "MulOneClass.toMulOne", "Quotient", "Con.toSetoid...
true
List.form_perm_zpow_apply_mem_imp_mem
Mathlib.GroupTheory.Perm.List
[ "Eq.mpr", "Equiv.instEquivLike", "Equiv.Perm.set_support_zpow_subset", "congrArg", "Finset", "List.coe_toFinset", "setOf", "DivInvMonoid.toZPow", "Membership.mem", "Eq.mp", "id", "Ne", "Int", "List.toFinset", "dite", "List.formPerm", "Group.toDivInvMonoid", "Equiv.Perm.permGroup", ...
true
Std.IterM.toListRev.go.eq_1
Init.Data.Iterators.Lemmas.Consumers.Monadic.Collect
[ "Pure.pure", "Std.Shrink", "Monad.toApplicative", "Std.IterM.TerminationMeasures.Finite", "InvImage", "Std.IterM.finitelyManySteps!", "Std.IterM.toListRev.go", "Std.IterM.IsPlausibleStep", "Std.IterStep.skip", "Applicative.toPure", "Std.IterM.toListRev.go._proof_2", "Std.Iterator", "List.con...
true
Lean.Elab.Tactic.BVDecide.Frontend.Normalize.MatchKind.ctorElim
Lean.Elab.Tactic.BVDecide.Frontend.Normalize.Basic
[ "Lean.ConstructorVal", "Lean.Elab.Tactic.BVDecide.Frontend.Normalize.MatchKind.simpleEnum", "Lean.Elab.Tactic.BVDecide.Frontend.Normalize.MatchKind.casesOn", "Array", "Lean.Elab.Tactic.BVDecide.Frontend.Normalize.MatchKind.enumWithDefault", "Lean.Elab.Tactic.BVDecide.Frontend.Normalize.MatchKind", "Nat"...
false
ModuleCat.CoextendScalars.instCoeFunCarrierObjCoextendScalarsForall
Mathlib.Algebra.Category.ModuleCat.ChangeOfRings
[ "Semiring.toModule", "ModuleCat.coextendScalars", "ModuleCat", "AddCommGroup.toAddCommMonoid", "LinearMap.instFunLike", "RingHom", "CoeFun.mk", "ModuleCat.CoextendScalars.equiv", "ModuleCat.restrictScalars", "LinearMap", "ModuleCat.of", "ModuleCat.isAddCommGroup", "Ring.toAddCommGroup", "M...
true
Topology.IsLower.closure_singleton
Mathlib.Topology.Order.LowerUpperTopology
[ "Set.Subset.antisymm", "Eq.ge", "Set.Ici", "subset_closure", "closure_minimal", "Topology.IsLower.instClosedIciTopology", "Membership.mem", "IsUpperSet.Ici_subset", "Set.instSingletonSet", "Topology.IsLower", "TopologicalSpace", "closure", "Topology.IsLower.isUpperSet_of_isClosed", "Single...
true
CategoryTheory.Pseudofunctor.toLax._proof_7
Mathlib.CategoryTheory.Bicategory.Functor.Pseudofunctor
[ "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.Iso.comp_inv_eq", "CategoryTheory.Bicategory.inv_hom_whiskerRight_assoc", "CategoryTheory.Pseudofunctor.mapId", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.Pseudofunctor.map₂_left_unitor", "Quiver.Hom", "congrArg", "CategoryT...
false
Sublattice.pi_univ_bot
Mathlib.Order.Sublattice
[ "Sublattice", "Lattice", "Sublattice.instBot", "Set.univ_nonempty._simp_1", "congrArg", "Set.univ", "Bot.bot", "Pi.instLattice", "Set.Nonempty", "Sublattice.pi", "Sublattice.pi_bot", "True", "eq_self", "of_eq_true", "Nonempty", "congrFun'", "Eq", "Eq.trans" ]
true
ContinuousMap.HomotopyWith.noConfusionType
Mathlib.Topology.Homotopy.Basic
[ "Real", "ContinuousMap.HomotopyWith.casesOn", "ContinuousMap.mk", "ContinuousMap", "Continuous.comp", "PseudoMetricSpace.toUniformSpace", "instTopologicalSpaceProd", "Membership.mem", "ContinuousMap.Homotopy.toContinuousMap", "Set.Elem", "Prod.mk", "ContinuousMap.HomotopyWith", "TopologicalS...
false
Nat.Partition.card_restricted_eq_card_countRestricted
Mathlib.Combinatorics.Enumerative.Partition.Glaisher
[ "instDecidableNot", "Int.instIsStrictOrderedRing", "Dvd.dvd", "Semiring.toModule", "Nat.Partition.restricted", "congrArg", "CommSemiring.toSemiring", "Int.instLinearOrder", "Nat.decidable_dvd", "PartialOrder.toPreorder", "AddGroupWithOne.toAddMonoidWithOne", "LinearMap.instFunLike", "Preorde...
true
Cubic.coeff_eq_b
Mathlib.Algebra.CubicDiscriminant
[ "Cubic.c", "instOfNatNat", "Cubic.toPoly", "Cubic.d", "Polynomial.coeff", "GT.gt", "And", "And.right", "And.left", "Cubic.b", "Nat", "Cubic.a", "Semiring", "Cubic", "_private.Mathlib.Algebra.CubicDiscriminant.0.Cubic.coeffs", "Zero.toOfNat0", "instLTNat", "OfNat.ofNat", "Eq", "...
true
_private.Init.Data.String.Lemmas.Pattern.Char.0.String.Slice.Pos.revSkipWhile.match_1.eq_2
Init.Data.String.Lemmas.Pattern.Char
[ "Eq.mpr", "False", "Nat.ne_of_beq_eq_false", "_private.Init.Data.String.Lemmas.Pattern.Char.0.String.Slice.Pos.revSkipWhile.match_1.splitter._sparseCasesOn_2", "Option.ctorIdx", "congrArg", "False.elim", "Nat.shiftRight", "Option.some", "String.Slice", "id", "Nat.hasNotBit", "Option.rec", ...
true
Std.DTreeMap.Const.get?_unitOfList
Std.Data.DTreeMap.Lemmas
[ "Unit.unit", "List.contains", "Ord.mk", "Option.some", "Ordering", "Std.DTreeMap.Const.get?", "instDecidableEqBool", "Std.TransCmp", "Bool.true", "Option.none", "List", "Unit", "Std.LawfulBEqCmp", "Std.DTreeMap.Const.unitOfList", "Bool", "Std.DTreeMap.Internal.Impl.Const.get?_insertMan...
true
_private.Mathlib.Analysis.Normed.Field.Approximation.0.Polynomial.exists_monic_and_natDegree_eq_and_norm_map_algebraMap_coeff_sub_lt._simp_1_1
Mathlib.Analysis.Normed.Field.Approximation
[ "Polynomial.instOne", "Polynomial", "Polynomial.Monic", "True", "eq_true", "Semiring", "One.toOfNat1", "Polynomial.monic_one", "OfNat.ofNat", "Eq" ]
false
NonUnitalAlgebra.instIsMulCommutative_adjoin
Mathlib.Algebra.Algebra.NonUnitalSubalgebra
[ "SetLike", "Semigroup.toMul", "NonUnitalSubalgebra", "instSMulOfMul", "NonUnitalSubalgebra.toNonUnitalNonAssocSemiring", "MulMemClass.toSemigroup", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsScalarTower", "setLike_mul_comm", "AddMonoid.toAddZeroClass", "MulMemClass", "No...
true
LibraryNote.RCLike_instance
Mathlib.Analysis.RCLike.Lemmas
[ "Inhabited.default", "Batteries.Util.instInhabitedLibraryNote", "Batteries.Util.LibraryNote" ]
true
ZMod.euler_criterion
Mathlib.NumberTheory.LegendreSymbol.Basic
[ "Units.val", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "MulOne.toOne", "False", "Nat.Prime", "instHDiv", "HMul.hMul", "Monoid.toMulOneClass", "congrArg", "iff_congr", "False.elim", "AddGroupWithOne.toAddMonoidWithOne", "DivisionSemiring.toGroupWithZero", "_private.Mathlib.NumberTheory....
true
_private.Mathlib.MeasureTheory.Measure.MeasureSpace.0.MeasureTheory.Measure.measure_sInf_le
Mathlib.MeasureTheory.Measure.MeasureSpace
[ "Iff.mpr", "Eq.mpr", "MeasureTheory.Measure", "MeasurableSet", "congrArg", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "CompleteLattice.toConditionallyCompleteLattice", "MeasureTheory.OuterMeasure", "id", "LE.le", "MeasureTheory.Measure.sInf_apply", "MeasurableSpace", "...
true
TopCat.Presheaf.stalkSpecializes_stalkFunctor_map_assoc
Mathlib.Topology.Sheaves.Stalks
[ "CategoryTheory.Category.assoc", "Specializes", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "TopCat.instCategoryPresheaf", "TopCat.Presheaf.stalkSpecializes", "Eq.mp", "TopCat.Presheaf", "id", "Mathlib.Tactic.Reassoc.eq_whisker'", "TopCat.Presheaf.stalk", "CategoryThe...
true
List.Nodup.not_mem_erase
Init.Data.List.Erase
[ "False", "congrArg", "False.elim", "LawfulBEq", "Membership.mem", "Eq.mp", "not_true_eq_false", "Ne", "List.Nodup", "List", "And", "List.erase", "List.instMembership", "And.left", "True", "eq_self", "Iff.mp", "List.Nodup.mem_erase_iff", "BEq", "Eq", "Not", "Eq.trans" ]
true
Summable.mono_filter
Mathlib.Topology.Algebra.InfiniteSum.Defs
[ "Finset", "SummationFilter", "PartialOrder.toPreorder", "Preorder.toLE", "nhds", "LE.le", "AddCommMonoid", "TopologicalSpace", "HasSum", "Exists.intro", "SummationFilter.filter", "Filter.Tendsto.mono_left", "Summable", "_private.Mathlib.Topology.Algebra.InfiniteSum.Defs.0.Summable.mono_fil...
true
Matroid.IsNonloop.mem_ground
Mathlib.Combinatorics.Matroid.Loop
[ "Matroid.E", "Membership.mem", "Matroid.IsNonloop", "Set.instMembership", "Matroid", "Set" ]
true
Frm.hasForgetToLat._proof_1
Mathlib.Order.Category.Frm
[ "FrameHom", "Lattice.toSemilatticeSup", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CompleteLattice.toLattice", "FrameHomClass.toBoundedLatticeHomClass", "Lat.of", "CategoryTheory.CategoryStruct.id", "SemilatticeSup.toMax", "CompleteLattice.toBoundedOrder", "id", "Frm.Hom.hom", ...
false
Batteries.Tactic.casePattArg
Batteries.Tactic.Case
[ "Lean.Name.mkStr3", "instOfNatNat", "Lean.ParserDescr.nodeWithAntiquot", "Lean.ParserDescr.binary", "Lean.ParserDescr", "Lean.ParserDescr.unary", "Nat", "Lean.ParserDescr.symbol", "Lean.ParserDescr.cat", "Lean.Parser.Tactic.caseArg", "OfNat.ofNat", "Lean.Name.mkStr1" ]
true
Int32.neg_eq_not_add
Init.Data.SInt.Bitwise
[ "Int32.toBitVec", "BitVec.neg_eq_not_add", "Int32.toBitVec_inj", "BitVec", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "Complement.complement", "Iff.mp", "Int32.instOfNat", "instComplementInt32", "instAddInt32", "OfNat.ofNat", "Eq", "Int32.instNeg", "Neg.neg", "Int32" ]
true
WeierstrassCurve.Affine.CoordinateRing.basis_one
Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Point
[ "Eq.mpr", "WeierstrassCurve.Affine.monic_polynomial", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "WeierstrassCurve.Affine.CoordinateRing.mk", "AdjoinRoot", "congrArg", "CommSemiring.toSemiring", "PowerBasis.gen", "RingHom", "Algebra.toModule", ...
true
NonAssocCommRing.intCast._inherited_default
Mathlib.Algebra.Ring.Defs
[ "Neg.mk", "id", "Int", "Nat", "NatCast.mk", "Int.castDef" ]
false
Turing.PartrecToTM2.Γ'.enumList_getElem?_ctorIdx_eq
Mathlib.Computability.TuringMachine.ToPartrec
[ "Turing.PartrecToTM2.Γ'.ctorIdx", "Turing.PartrecToTM2.Γ'", "List.instGetElem?NatLtLength", "Option.some", "_private.Mathlib.Computability.TuringMachine.ToPartrec.0._proof_23", "List", "Turing.PartrecToTM2.Γ'.enumList", "Nat", "LT.lt", "instLTNat", "GetElem?.getElem?", "Eq", "List.length", ...
true
Submonoid.LocalizationMap.ofMulEquivOfLocalizations_apply
Mathlib.GroupTheory.MonoidLocalization.Maps
[ "MulEquiv.instEquivLike", "Monoid.toMulOneClass", "MulOne.toMul", "MulOneClass.toMulOne", "CommMonoid.toMonoid", "Submonoid.LocalizationMap", "Submonoid.LocalizationMap.instFunLike", "MulEquiv", "Eq", "CommMonoid", "DFunLike.coe", "Submonoid", "rfl", "Submonoid.LocalizationMap.ofMulEquivOf...
true
_private.Mathlib.NumberTheory.ModularForms.LevelOne.GradedRing.0.ModularForm.E₄CubeSubE₆SqForm_isCuspForm._simp_1_1
Mathlib.NumberTheory.ModularForms.LevelOne.GradedRing
[ "ModularForm.IsCuspForm", "ModularForm", "Subgroup.instHasDetOneRangeSpecialLinearGroupGeneralLinearGroupMapGL", "MonoidHom.range", "Real", "Matrix.SpecialLinearGroup", "Semiring.toModule", "UpperHalfPlane.qExpansion", "Matrix", "ModularForm.isCuspForm_iff_coeffZero_eq_zero", "instDecidableEqFin...
false
CategoryTheory.Functor.Monoidal.ext_iff
Mathlib.CategoryTheory.Monoidal.Functor
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HEq.refl", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.LaxMonoidal.ε", "Eq.casesOn", "CategoryTheory.Functor.OplaxMonoidal.δ", "And.casesOn", "CategoryTheory.Functor.Monoidal.toOplaxMonoidal", "And"...
true
Batteries.PairingHeapImp.Heap.noConfusionType
Batteries.Data.PairingHeap
[ "Batteries.PairingHeapImp.Heap.casesOn", "Batteries.PairingHeapImp.Heap", "HEq" ]
false
_private.Init.Data.String.Lemmas.Pattern.Char.0.String.Slice.Pattern.Model.Char.matchAt?_eq._simp_1_1
Init.Data.String.Lemmas.Pattern.Char
[ "String.Slice", "Exists", "String.Slice.Pos.next", "String.Slice.Pattern.Model.Char.isLongestMatchAt_iff", "Ne", "String.Slice.endPos", "And", "String.Slice.Pattern.Model.Char.instPatternModelChar", "propext", "String.Slice.Pos.get", "String.Slice.Pos", "Char", "String.Slice.Pattern.Model.Is...
false