name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
IsClosedMap
Mathlib.Topology.Defs.Basic
[ "IsClosed", "TopologicalSpace", "Set.image", "Set" ]
true
ContinuousMultilinearMap.seminorm._proof_3
Mathlib.Analysis.Normed.Module.Multilinear.Basic
[ "SeminormedAddCommGroup", "NormedSpace", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "NormedField.toField", "Field.toSemifield", "Field.toCommRing", "smulCommClass_self", "Semifield.toDivisionSemiring", "CommMonoid.toMonoid", "SeminormedAddCommGroup.toAddCommGroup", "Monoid.toSemig...
false
GaloisCoinsertion.liftSemilatticeSup.eq_1
Mathlib.Order.GaloisConnection.Basic
[ "SemilatticeSup.mk", "GaloisCoinsertion.choice", "GaloisCoinsertion.liftSemilatticeSup._proof_2", "GaloisCoinsertion.liftSemilatticeSup._proof_4", "GaloisCoinsertion.liftSemilatticeSup._proof_3", "PartialOrder.toPreorder", "GaloisCoinsertion.liftSemilatticeSup._proof_1", "SemilatticeSup.toMax", "Par...
true
SemilatticeSup.mk.noConfusion
Mathlib.Order.Lattice
[ "SemilatticeSup.mk", "PartialOrder.toPreorder", "Preorder.toLE", "PartialOrder", "id", "LE.le", "heq_of_eq", "SemilatticeSup.noConfusion", "Eq.refl", "HEq", "Eq", "SemilatticeSup" ]
false
HasSum.nat_add_neg_add_one
Mathlib.Topology.Algebra.InfiniteSum.NatInt
[ "Eq.mpr", "False", "Int.ctorIdx", "Finset.instUnion", "Finset.mem_image", "congrArg", "Function.Injective.injOn", "Finset.sum_add_distrib", "Finset", "and_imp", "False.elim", "AddMonoid.toAddZeroClass", "AddGroupWithOne.toAddMonoidWithOne", "noConfusion_of_Nat", "Disjoint", "Int.negSuc...
true
ENNReal.toReal_ofReal_eq_iff._simp_1
Mathlib.Data.ENNReal.Basic
[ "Real.instLE", "Real", "Real.instZero", "ENNReal.ofReal", "LE.le", "ENNReal.toReal", "propext", "Zero.toOfNat0", "ENNReal.toReal_ofReal_eq_iff", "OfNat.ofNat", "Eq" ]
false
_private.Batteries.Data.Random.MersenneTwister.0.Batteries.Random.MersenneTwister.Config.init.loop._unsafe_rec
Batteries.Data.Random.MersenneTwister
[ "Eq.mpr", "BitVec.instHShiftRightNat", "HMul.hMul", "BitVec.instXorOp", "_private.Batteries.Data.Random.MersenneTwister.0.Batteries.Random.MersenneTwister.Config.init._proof_1", "BitVec.instOfNat", "Vector", "Array.push", "congrArg", "HSub.hSub", "BitVec.instAdd", "BitVec", "id", "instOfNa...
false
FirstOrder.Language.BoundedFormula.listDecode._proof_5
Mathlib.ModelTheory.Encoding
[ "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Preorder.toLT", "Nat.instIsOrderedAddMonoid", "LinearOrderedCommMonoidWithZero.toIsBotZeroClass", "of_decide_eq_true", "le_of_le_of_eq", "lt_add_iff_pos_right._simp_1", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "instIsLeftC...
false
_private.Std.Data.DHashMap.Internal.WF.0.Std.DHashMap.Internal.Raw₀.insertMany.eq_1
Std.Data.DHashMap.Internal.WF
[ "Pure.pure", "Monad.toApplicative", "Subtype", "ForIn.forIn", "Id.run", "Id", "Applicative.toPure", "ForInStep", "Subtype.mk", "Std.DHashMap.Internal.Raw₀.insert", "_private.Std.Data.DHashMap.Internal.Defs.0.Std.DHashMap.Internal.Raw₀.insertMany._proof_2", "ForIn", "Std.DHashMap.Internal.Raw...
true
_private.Lean.Server.FileWorker.WidgetRequests.0.Lean.Widget.initFn.match_3._@.Lean.Server.FileWorker.WidgetRequests.4152489880._hygCtx._hyg.2
Lean.Server.FileWorker.WidgetRequests
[ "_private.Lean.Server.FileWorker.WidgetRequests.0.Lean.Widget.initFn._sparseCasesOn_3._@.Lean.Server.FileWorker.WidgetRequests.4152489880._hygCtx._hyg.2", "Lean.Expr", "Nat.hasNotBit", "Lean.Expr.app", "Lean.Expr.ctorIdx" ]
false
_private.Lean.Data.LBool.0.Lean.LBool.and._sparseCasesOn_1
Lean.Data.LBool
[ "Lean.LBool.false", "Nat.ne_of_beq_eq_false", "Lean.LBool.undef", "Lean.LBool.rec", "Nat.shiftRight", "Lean.LBool.true", "Nat.hasNotBit", "Lean.LBool.ctorIdx", "instOfNatNat", "Nat.land", "Nat", "Bool", "Eq.refl", "OfNat.ofNat", "Bool.false", "Lean.LBool" ]
false
BitVec.toNat_ofInt
Init.Data.BitVec.Lemmas
[ "instPowNat", "id", "instHMod", "BitVec.ofInt", "instOfNatNat", "Int", "BitVec.toNat", "Int.instNatPow", "Nat.cast", "instNatPowNat", "HMod.hMod", "HPow.hPow", "instOfNat", "Nat", "eq_self", "of_eq_true", "Int.instMod", "Int.toNat", "instNatCastInt", "instHPow", "OfNat.ofNat"...
true
Bundle.Trivialization.pullback._proof_4
Mathlib.Topology.FiberBundle.Constructions
[ "Set.instSProd", "Eq.mpr", "Bundle.Trivialization.symm", "Bundle.Trivialization.source_eq", "SProd.sprod", "congrArg", "Set.univ", "instTopologicalSpaceProd", "Bundle.Pullback", "Membership.mem", "Bundle.TotalSpace.mk", "Eq.mp", "id", "_private.Mathlib.Topology.FiberBundle.Constructions.0....
false
MeasureTheory.MeasurePreserving.withDensity_rnDeriv
Mathlib.Dynamics.Ergodic.RadonNikodym
[ "MeasureTheory.MeasurePreserving", "Eq.mpr", "ENNReal.instAdd", "MeasureTheory.Measure.withDensity", "MeasureTheory.Measure", "MeasureTheory.instSFiniteOfSigmaFinite", "MeasurableSet", "congrArg", "MeasureTheory.Measure.map_apply", "MeasureTheory.SigmaFinite", "MeasureTheory.MeasurePreserving.mk...
true
Countable.LindelofSpace
Mathlib.Topology.Compactness.Lindelof
[ "Set.univ", "LindelofSpace", "TopologicalSpace", "Set.countable_univ", "LindelofSpace.mk", "Countable", "Set.Countable.isLindelof" ]
true
_private.Mathlib.Analysis.SpecialFunctions.Gamma.Basic.0.Complex.Gamma_integrand_deriv_integrable_A
Mathlib.Analysis.SpecialFunctions.Gamma.Basic
[ "Real.instIsOrderedRing", "Mathlib.Tactic.Ring.Common.neg_zero", "Eq.mpr", "NegZeroClass.toNeg", "NormedCommRing.toSeminormedCommRing", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.Ring.Common.neg_mul", "Real.partialOrder", "Real.instLE", "Real", "MeasureTheory.Measure", "Preorde...
true
Stream'.WSeq.LiftRelO
Mathlib.Data.WSeq.Relation
[ "False", "And", "Unit", "True", "Stream'.WSeq", "Stream'.WSeq.LiftRelO.match_1", "Prod", "Option" ]
true
_private.Mathlib.Computability.TuringMachine.PostTuringMachine.0.Turing.TM1to1.tr_respects._proof_1_22
Mathlib.Computability.TuringMachine.PostTuringMachine
[ "cond", "Turing.TM1to1.trTape'", "Inhabited.default", "False", "Turing.Tape.mk'", "Lean.Grind.nestedProof", "Turing.TM1to1.tr", "eq_false", "congrArg", "instInhabitedBool", "Classical.byContradiction", "Turing.TM1.step", "List.Vector", "Eq.mp", "id", "instDecidableEqBool", "Turing.TM...
false
WithBot.instMulZeroClass._proof_3
Mathlib.Algebra.Order.Ring.WithTop
[ "Mul.mk", "WithBot", "HMul.hMul", "WithBot.zero", "WithTop.instMulZeroClass._proof_1", "MulZeroClass", "Zero.toOfNat0", "OfNat.ofNat", "WithBot.instMulZeroClass._aux_1", "Eq", "MulZeroClass.toZero", "instHMul", "DecidableEq" ]
false
neg_le_of_abs_le
Mathlib.Algebra.Order.Group.Abs
[ "NegZeroClass.toNeg", "abs", "AddCommGroup.toAddCommMonoid", "abs_le", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "AddCommGroup.toAddGroup", "SemilatticeInf.toPartialOrder", "AddCommGroup", "DistribLattice.toLattice", "SubtractionMonoid.toSubNegZeroMonoid", "LE.le", "SubNeg...
true
Filter.ker_principal
Mathlib.Order.Filter.Ker
[ "PartialOrder.toPreorder", "CompleteLattice.toCompleteSemilatticeInf", "CompleteSemilatticeInf.toPartialOrder", "CompleteBooleanAlgebra.toCompleteLattice", "Filter.principal", "Filter.gi_principal_ker", "Eq", "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra", "Set.instCompleteAtomicBooleanAlge...
true
CategoryTheory.Preregular.recOn
Mathlib.CategoryTheory.Sites.Coherent.Basic
[ "CategoryTheory.Preregular", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Exists", "CategoryTheory.Preregular.rec", "CategoryTheory.Preregular.mk", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.EffectiveEpi", "Eq", "CategoryTheory.C...
false
_private.Batteries.Data.String.Lemmas.0.String.Legacy.Iterator.nextn.eq_def
Batteries.Data.String.Lemmas
[ "Eq.mpr", "congrArg", "Nat.brecOn.go", "Nat.rec", "_private.Batteries.Data.String.Lemmas.0.String.Legacy.Iterator.forward.match_1.splitter", "Nat.brecOn", "Nat.brecOn.eq", "id", "instOfNatNat", "Nat.below", "_private.Init.Data.String.Iterator.0.String.Legacy.Iterator.forward.match_1", "String....
true
CategoryTheory.ShortComplex.Homotopy.ext_iff
Mathlib.Algebra.Homology.ShortComplex.Preadditive
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HEq.refl", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.X₁", "CategoryTheory.ShortComplex.Homotopy.ext", "CategoryTheory.ShortComplex.Homotopy", "CategoryTheory.ShortComplex.instCategory", "Eq.casesOn", "CategoryTheory.Preaddi...
true
MeasureTheory.JordanDecomposition.posPart_finite
Mathlib.MeasureTheory.VectorMeasure.Decomposition.Jordan
[ "MeasureTheory.JordanDecomposition.posPart", "MeasurableSpace", "MeasureTheory.JordanDecomposition", "MeasureTheory.IsFiniteMeasure" ]
true
IsEvenlyCovered.toTrivialization'._proof_18
Mathlib.Topology.Covering.Basic
[ "Set.instSProd", "SProd.sprod", "Set.univ", "instTopologicalSpaceProd", "Classical.propDecidable", "IsEvenlyCovered.toTrivialization'._proof_3", "Membership.mem", "OpenPartialHomeomorph.mk", "Exists", "IsEvenlyCovered.toTrivialization'._proof_11", "Set.Elem", "Prod.mk", "OpenPartialHomeomorp...
false
Std.LawfulBEqCmp.lawfulBEq
Init.Data.Order.Ord
[ "Std.LawfulBEqCmp.compare_eq_iff_beq", "Std.LawfulEqCmp.compare_eq_iff_eq._simp_1", "LawfulBEq", "Ordering", "Ordering.eq", "imp_self._simp_1", "Bool.true", "BEq.beq", "Std.LawfulEqCmp", "implies_congr", "ReflBEq", "Std.LawfulBEqCmp", "LawfulBEq.mk", "True", "propext", "Bool", "of_eq...
true
String.Legacy.Iterator.forward._sunfold
Init.Data.String.Iterator
[ "_private.Init.Data.String.Iterator.0.String.Legacy.Iterator.forward.match_1", "String.Legacy.Iterator.next", "Nat", "String.Legacy.Iterator.forward", "String.Legacy.Iterator" ]
false
LieGroup.«term𝑳»
Mathlib.Geometry.Manifold.Algebra.Monoid
[ "instOfNatNat", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "Lean.ParserDescr.symbol", "Lean.Name.mkStr2", "OfNat.ofNat" ]
true
Lean.Elab.Term.ElabElimInfo.noConfusionType
Lean.Elab.App
[ "Lean.Elab.Term.ElabElimInfo.casesOn", "Lean.Elab.Term.ElabElimInfo", "Lean.Expr", "Array", "Nat", "Eq" ]
false
CategoryTheory.Oplax.OplaxTrans.mk.sizeOf_spec
Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Oplax
[ "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.Oplax.OplaxTrans._sizeOf_inst", "Quiver.Hom", "CategoryTheory.Bicategory.rightUnitor", "CategoryTheory.OplaxFunctor.mapComp", "CategoryTheory.CategoryStruct.id", "CategoryTheory.OplaxFunctor.toPrelaxFunctor", "CategoryTheory.Oplax.OplaxTrans.na...
true
Int.lcm_mul_right
Init.Data.Int.Gcd
[ "Nat.lcm", "Int.lcm", "HMul.hMul", "Int.natAbs_mul", "congrArg", "instMulNat", "Int", "Int.instMul", "Nat.lcm_mul_right", "Nat", "congr", "True", "Int.natAbs", "eq_self", "of_eq_true", "congrFun'", "Eq", "Eq.trans", "instHMul" ]
true
SimpleGraph.uniqueOfSubsingleton._proof_1
Mathlib.Combinatorics.SimpleGraph.Basic
[ "False", "congrArg", "SimpleGraph.Adj", "SimpleGraph.irrefl._simp_1", "Bot.bot", "SimpleGraph", "iff_self", "funext", "Iff", "congr", "True", "propext", "SimpleGraph.ext", "of_eq_true", "Subsingleton", "SimpleGraph.completeAtomicBooleanAlgebra", "congrFun'", "Subsingleton.elim", ...
false
PresheafOfModules.instMonoidalCompOppositeCommRingCatRingCatForget₂RingHomCarrierCarrierOpPushforward₀OfCommRingCat._proof_2
Mathlib.Algebra.Category.ModuleCat.Presheaf.PushforwardZeroMonoidal
[ "CategoryTheory.Functor.op", "CategoryTheory.Functor", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "Opposite", "CommRingCat.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CommSemiring.toSemiring", "CommRingCat", "PresheafOfModules.monoidalCategory", "CommRingCat.inst...
false
_private.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.TypeAnalysis.0.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.isSupportedMatch.match_7
Lean.Elab.Tactic.BVDecide.Frontend.Normalize.TypeAnalysis
[ "Lean.ConstantInfo.inductInfo", "Nat.hasNotBit", "Lean.ConstantInfo.ctorIdx", "Lean.ConstantInfo", "_private.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.TypeAnalysis.0.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.isSupportedMatch._sparseCasesOn_7", "Lean.InductiveVal" ]
false
normalClosure.instIsScalarTowerSubtypeMemIntermediateFieldNormalClosure
Mathlib.FieldTheory.Normal.Closure
[ "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "instSMulOfMul", "CommRing.toNonUnitalCommRing", "Algebra.algebraMap", "CommSemiring.toSemiring", "IntermediateField", "IsScalarTower", "IntermediateField.toField", "Algebra", "RingHom", "Algebra.toSMul", "IntermediateField.normalClosure", "Me...
true
Aesop.RuleSetNameFilter.casesOn
Aesop.RuleSet.Filter
[ "Aesop.RuleSetNameFilter.rec", "Array", "Aesop.RuleSetNameFilter.mk", "Aesop.RuleSetName", "Aesop.RuleSetNameFilter" ]
false
CategoryTheory.ComposableArrows.fourδ₄Toδ₃_app_one
Mathlib.CategoryTheory.ComposableArrows.Four
[ "CategoryTheory.ComposableArrows.fourδ₄Toδ₃", "instNeZeroNatHAdd_1", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "PartialOrder.toPreorder", "CategoryTheory.CategoryStruct.id", "Fin.instOfNat", "Preorder.smallCategory", "instOfNatNat", "instHAdd", "Fin.instPartialOrder", "HAdd.hAdd"...
true
Std.Rco.size_eq_if_roo
Init.Data.Range.Polymorphic.Lemmas
[ "Std.Rco", "Std.Rco.size", "Nat.add_right_cancel_iff", "Eq.mpr", "Std.Rco.size.eq_1", "False", "Decidable.casesOn", "Nat.recAux", "Nat.zero_lt_succ._simp_1", "Std.PRange.UpwardEnumerable", "Std.Rxo.LawfulHasSize", "Std.Roo.upper", "congrArg", "Std.Roo.size.eq_1", "Std.PRange.LawfulUpward...
true
_private.Mathlib.Algebra.Ring.BooleanRing.0.BooleanRing.mul_add_mul._abel_1_1
Mathlib.Algebra.Ring.BooleanRing
[ "Mathlib.Tactic.Abel.const_add_termg", "Mathlib.Tactic.Abel.term_atomg", "HMul.hMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "AddGroupWithOne.toAddMonoidWithOne", "Distrib.toAdd", "Int", "zero_add", "BooleanRing.toRing", "instDistribOfSemiring", "instHAdd", "instOfNat", ...
false
ByteArray.Iterator.mk.sizeOf_spec
Init.Data.ByteArray.Basic
[ "ByteArray._sizeOf_inst", "ByteArray.Iterator", "instOfNatNat", "instHAdd", "HAdd.hAdd", "ByteArray.Iterator._sizeOf_inst", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "instSizeOfNat", "ByteArray.Iterator.mk", "ByteArray", "OfNat.ofNat", "Eq" ]
true
Ideal.Quotient.algebra._proof_2
Mathlib.RingTheory.Ideal.Quotient.Operations
[ "instSMulOfMul", "IsScalarTower.right", "IsScalarTower", "Algebra", "Algebra.toSMul", "instDistribOfSemiring", "CommSemiring", "Distrib.toMul", "Ring.toSemiring", "Ring" ]
false
le_total_of_codirected
Mathlib.Order.SuccPred.Archimedean
[ "Eq.mpr", "Or.comm", "Order.succ", "congrArg", "Preorder.toLE", "Nat.exists_eq_add_of_le", "Function.comp", "Exists", "id", "Function.iterate_add", "LE.le", "instLENat", "Nat.iterate", "LE.le.exists_succ_iterate", "Or.casesOn", "Nat.le_of_not_ge", "instHAdd", "Exists.casesOn", "H...
true
MeasureTheory.Measure.OuterRegular.of_restrict
Mathlib.MeasureTheory.Measure.Regular
[ "ENNReal.instCanonicallyOrderedAdd", "Iff.mpr", "Set.univ_subset_iff", "Eq.mpr", "ENNReal.instAdd", "Trans.trans", "MeasureTheory.Measure", "Preorder.toLT", "ENNReal.tsum_le_tsum", "ENNReal.exists_pos_sum_of_countable'", "lt_tsub_iff_right", "ChainCompletePartialOrder.instOfCompleteLattice", ...
true
Field.rank_mul_sepDegree_of_isSeparable
Mathlib.FieldTheory.PurelyInseparable.Tower
[ "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "CommRing.toNonUnitalCommRing", "Cardinal", "congrArg", "IsScalarTower", "Field.sepDegree", "Cardinal.lift", "Algebra", "Algebra.toSMul", "Field.toDivisionRing", "Algebra.toModule", "Eq.mp", "Cardinal.instMul", "NonUnitalNonAs...
true
MulOpposite.instSemiring._proof_4
Mathlib.Algebra.Ring.Opposite
[ "Monoid.npow", "MulOpposite", "instOfNatNat", "MulOpposite.instMonoidWithZero", "Monoid.npow_zero", "Nat", "Semiring", "One.toOfNat1", "Monoid.toOne", "OfNat.ofNat", "Eq", "MonoidWithZero.toMonoid", "Semiring.toMonoidWithZero" ]
false
CategoryTheory.ReflPrefunctor._aux_Mathlib_Combinatorics_Quiver_ReflQuiver___unexpand_CategoryTheory_ReflPrefunctor_comp_1
Mathlib.Combinatorics.Quiver.ReflQuiver
[ "Pure.pure", "cond", "Lean.TSyntax", "Unit.unit", "Lean.MonadRef.mkInfoFromRefPos", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "Lean.PrettyPrinter.UnexpandM", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Syntax.atom", "Lean.TSyntax.mk", "Lean.Syntax", ...
false
WeakFEPair.hg_top
Mathlib.NumberTheory.LSeries.AbstractFuncEq
[ "WeakFEPair.g", "Real.instPow", "Real", "NormedSpace", "WeakFEPair", "Asymptotics.IsBigO", "Complex.instNormedField", "HSub.hSub", "AddCommGroup.toAddGroup", "WeakFEPair.g₀", "SubNegMonoid.toSub", "Filter.atTop", "instHSub", "AddGroup.toSubNegMonoid", "HPow.hPow", "NormedAddCommGroup.t...
true
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.Const.find?_toList_eq_none_iff_contains_eq_false._simp_1_1
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "Ordering", "Ordering.eq", "Ord.compare", "Bool.true", "BEq.beq", "propext", "Bool", "Std.LawfulBEqOrd", "BEq", "Eq", "Std.LawfulBEqOrd.compare_eq_iff_beq" ]
false
pow_eq_pow_iff_of_ne_zero
Mathlib.Algebra.Order.Ring.Abs
[ "NegZeroClass.toNeg", "False", "eq_false", "and_true", "Ring.toNonAssocRing", "IsOrderedRing", "AddGroupWithOne.toAddGroup", "abs", "congrArg", "_private.Mathlib.Algebra.Order.Ring.Abs.0.pow_eq_pow_iff_of_ne_zero.match_1_1", "LinearOrder", "covariant_swap_add_of_covariant_add", "Xor", "Par...
true
TypeCat.Hom.ext_iff
Mathlib.CategoryTheory.Types.Basic
[ "HEq.refl", "TypeCat.Hom", "Eq.casesOn", "Iff", "TypeCat.Fun", "Iff.intro", "Eq.ndrec", "Eq.refl", "HEq", "TypeCat.Hom.ext", "Eq.symm", "TypeCat.Hom.hom'", "Eq" ]
true
Lean.Widget.UserWidgetDefinition.noConfusion
Lean.Widget.UserWidget
[ "String", "Lean.Widget.UserWidgetDefinition.casesOn", "Lean.Widget.UserWidgetDefinition.noConfusionType", "Eq.ndrec", "Eq.refl", "Lean.Widget.UserWidgetDefinition", "Eq" ]
false
Std.DTreeMap.Raw.Const.size_ofList
Std.Data.DTreeMap.Raw.Lemmas
[ "List.Pairwise", "Std.DTreeMap.Raw.size", "Ord.mk", "Ordering", "Ordering.eq", "Std.DTreeMap.Raw.Const.ofList", "Std.TransCmp", "Prod.fst", "List", "Nat", "Std.DTreeMap.Internal.Impl.Const.size_insertMany_empty_list", "Prod", "Eq", "List.length", "Not" ]
true
CategoryTheory.Limits.cospanExt_hom_app_left
Mathlib.CategoryTheory.Limits.Shapes.Pullback.Cospan
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Limits.WidePullbackShape.category", "CategoryTheory.Iso", "CategoryTheory.Limits.cospanExt", "CategoryTheory.Limits.WalkingPair", "CategoryTheory.Limits.cospan", "Ca...
true
Cardinal.mk_congr_lift
Mathlib.SetTheory.Cardinal.Defs
[ "Iff.mpr", "Cardinal", "Cardinal.lift", "Cardinal.mk", "Equiv", "Cardinal.lift_mk_eq'", "Nonempty.intro", "Nonempty", "Eq" ]
true
_private.Mathlib.Tactic.TacticAnalysis.Declarations.0.Mathlib.TacticAnalysis.TerminalReplacementOutcome.remainingGoals.sizeOf_spec
Mathlib.Tactic.TacticAnalysis.Declarations
[ "_private.Mathlib.Tactic.TacticAnalysis.Declarations.0.Mathlib.TacticAnalysis.TerminalReplacementOutcome", "Lean.TSyntax", "Lean.MessageData", "Lean.TSyntax._sizeOf_inst", "instOfNatNat", "List.cons", "List", "instHAdd", "_private.Mathlib.Tactic.TacticAnalysis.Declarations.0.Mathlib.TacticAnalysis.T...
true
Mathlib.Tactic.FieldSimp.DenomCondition._sizeOf_inst
Mathlib.Tactic.FieldSimp
[ "Lean.Expr.const", "Mathlib.Tactic.FieldSimp.DenomCondition", "Lean.Expr.sort", "Lean.Level", "List.cons", "Qq.Quoted", "Mathlib.Tactic.FieldSimp.DenomCondition._sizeOf_1", "SizeOf.mk", "Lean.Expr.app", "SizeOf", "Lean.Level.succ", "Lean.Name.mkStr1", "List.nil" ]
false
_private.Lean.LoadDynlib.0.Lean.loadPlugin.match_10
Lean.LoadDynlib
[ "_private.Lean.LoadDynlib.0.Lean.loadPlugin._sparseCasesOn_7", "Option.ctorIdx", "String", "Option.some", "Nat.hasNotBit", "Option" ]
false
Measurable.isGLB
Mathlib.MeasureTheory.Constructions.BorelSpace.Order
[ "OrderTopology", "OrderDual.borelSpace", "SecondCountableTopology", "LinearOrder", "PartialOrder.toPreorder", "Measurable", "setOf", "Preorder.toLE", "Exists", "SemilatticeInf.toPartialOrder", "BorelSpace", "DistribLattice.toLattice", "instMeasurableSpaceOrderDual", "Measurable.isLUB", "...
true
ONote.cmp._sunfold
Mathlib.SetTheory.Ordinal.Notation
[ "PNat.val", "Ordering.gt", "ONote.oadd", "ONote.cmp", "Ordering", "Ordering.eq", "Ordering.then", "cmp", "Unit", "Ordering.lt", "Nat", "Nat.decLt", "instLTNat", "Eq", "ONote", "ONote.cmp.match_1", "PNat" ]
false
Int.sign.eq_3
Init.Data.Int.Order
[ "Int.sign", "Int.instNegInt", "Int", "instOfNat", "Nat", "Eq.refl", "Int.negSucc", "OfNat.ofNat", "Eq", "Neg.neg" ]
true
CategoryTheory.MonoidalCategory.MonoidalRightAction._aux_Mathlib_CategoryTheory_Monoidal_Action_Basic___unexpand_CategoryTheory_MonoidalCategory_MonoidalRightActionStruct_actionUnitIso_2
Mathlib.CategoryTheory.Monoidal.Action.Basic
[ "Pure.pure", "cond", "Lean.TSyntax", "Unit.unit", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Syntax.matchesIdent", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "Lean.PrettyPrinter.UnexpandM", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Syntax.atom", "Lean.T...
false
PSigma.noConfusionType
Init.Core
[ "PSigma.casesOn", "HEq", "PSigma" ]
false
CategoryTheory.Hom.addGroup
Mathlib.CategoryTheory.Monoidal.Cartesian.Grp
[ "CategoryTheory.Hom.addGroup._proof_1", "AddMonoid.toAddSemigroup", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Hom.addMonoid", "SubNegMonoid.mk", "Neg.mk", "AddMonoid.toZero", "SubNegMonoid.sub'", "Sub.mk", "CategoryTheory.Hom.addGroup._proof_4", "CategoryTheory.Ca...
true
_private.Mathlib.GroupTheory.HNNExtension.0.HNNExtension.NormalWord.unitsSMul_neg._simp_1_6
Mathlib.GroupTheory.HNNExtension
[ "Monoid", "Units.val", "Units.ext_iff", "Units", "propext", "Eq" ]
false
_private.Init.Data.UInt.Lemmas.0.UInt16.toUInt8_le._simp_1_1
Init.Data.UInt.Lemmas
[ "UInt16.le_iff_toNat_le", "instLEUInt16", "LE.le", "instLENat", "UInt16", "Nat", "propext", "UInt16.toNat", "Eq" ]
false
Nonneg.coe_nsmul._simp_1
Mathlib.Algebra.Order.Nonneg.Basic
[ "instHSMul", "AddMonoid.toAddSemigroup", "AddMonoid.toAddZeroClass", "AddMonoid.toNSMul", "AddLeftMono", "Preorder.toLE", "AddZeroClass.toAddZero", "Subtype", "LE.le", "AddZero.toZero", "AddSemigroup.toAdd", "Nat", "Nonneg.coe_nsmul", "AddMonoid", "Zero.toOfNat0", "HSMul.hSMul", "Non...
false
CategoryTheory.Limits.IsCofiltered.sequentialFunctor_initial_aux
Mathlib.CategoryTheory.Limits.Shapes.Countable
[ "Exists.choose_spec", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.IsCofiltered", "Preorder.toLE", "Exists", "Eq.mp", "Preorder.smallCategory", "instOfNatNat", "LE.le", "CategoryTheory.IsCofilteredOrEmpty.cone_objs", "instHAdd", "Exists.casesOn", "H...
true
SemilatticeSup.le_sup_left
Mathlib.Order.Lattice
[ "PartialOrder.toPreorder", "Preorder.toLE", "LE.le", "SemilatticeSup.toPartialOrder", "SemilatticeSup", "SemilatticeSup.sup" ]
true
_private.Mathlib.Combinatorics.Matroid.Loop.0.Matroid.exists_mem_isCircuit_of_not_isColoop._simp_1_2
Mathlib.Combinatorics.Matroid.Loop
[ "Exists", "propext", "Classical.not_forall", "Eq", "Not" ]
false
NonUnitalSubsemiring.eq_top_iff'
Mathlib.RingTheory.NonUnitalSubsemiring.Basic
[ "eq_top_iff", "NonUnitalSubsemiring.mem_top", "NonUnitalSubsemiring.instCompleteLattice", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "CompleteLattice.toBoundedOrder", "LE.le", "Iff", "OrderTop.toTop", "BoundedOrder.toOrderTop", "NonUnitalSubsemiring.instTop", "Iff.intro", ...
true
_private.Mathlib.AlgebraicTopology.DoldKan.SplitSimplicialObject.0.CategoryTheory.SimplicialObject.Splitting.σ_comp_πSummand_id_eq_zero._proof_1_1
Mathlib.AlgebraicTopology.DoldKan.SplitSimplicialObject
[ "Lean.RArray.leaf", "False", "Lean.Grind.not_not", "Opposite", "CategoryTheory.Epi", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Int.Linear.le_norm_expr", "Int.Linear.le_unsat", "CategoryTheory.SimplicialObject.Splitting.IndexSet", "Classical.byContradiction", "Nat.ToInt.add_congr...
false
AlgebraicGeometry.Scheme.instFieldCarrierResidueField._aux_19
Mathlib.AlgebraicGeometry.ResidueField
[ "IsLocalRing.ResidueField.field._proof_15", "Semiring.toNatCast", "NNRat.castRec", "AlgebraicGeometry.Scheme", "CommRingCat.carrier", "AlgebraicGeometry.PresheafedSpace.carrier", "CommRingCat", "IsLocalRing.maximalIdeal", "GroupWithZero.toDiv", "CommRingCat.instCategory", "NNRatCast.mk", "NNRa...
false
_private.Mathlib.RingTheory.RootsOfUnity.Complex.0.IsPrimitiveRoot.arg._simp_1_2
Mathlib.RingTheory.RootsOfUnity.Complex
[ "Set.Ioc", "Preorder.toLT", "Preorder.toLE", "Membership.mem", "LE.le", "And", "LT.lt", "propext", "Set.mem_Ioc", "Eq", "Set.instMembership", "Preorder", "Set" ]
false
OreLocalization.universalHom._proof_2
Mathlib.RingTheory.OreLocalization.Ring
[ "Distrib.leftDistribClass", "Units.val", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "RingHom.instRingHomClass", "MonoidHom.instMonoidHomClass", "MulOne.toOne", "Semigroup.toMul", "DivInvMonoid.toInv", "instHSMul", "MonoidHom.instFunLike", "RingHomClass.toAddMonoidHomClass", "Semiri...
false
PolynomialLaw.instZero
Mathlib.RingTheory.PolynomialLaw.Basic
[ "PolynomialLaw.instZero._proof_2", "CommSemiring.toSemiring", "Algebra", "Algebra.toModule", "Pi.instZero", "PolynomialLaw", "AddCommMonoid", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "Zero.mk", "Zero.toOfNat0", "TensorProduc...
true
_private.Mathlib.NumberTheory.Modular.0.ModularGroup.serreTheorem_im_eq
Mathlib.NumberTheory.Modular
[ "Int.instAddCommGroup", "UpperHalfPlane.glAction", "not_le", "one_pow", "AddGroup.toSubtractionMonoid", "Int.cast_neg", "Real.instIsOrderedRing", "Norm.norm", "Int.cast", "Units.val", "SeminormedAddGroup.toNorm", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "NegZeroClass.toNeg", "NormedCo...
true
Order.PFilter.IsPrime.rec
Mathlib.Order.PrimeIdeal
[ "Order.PFilter.IsPrime.mk", "Compl.compl", "Order.PFilter.IsPrime", "Preorder.toLE", "Order.PFilter.instSetLike", "Set.instCompl", "SetLike.coe", "Order.IsIdeal", "Order.PFilter", "Preorder", "Set" ]
false
_private.Mathlib.RingTheory.Smooth.Basic.0.Algebra.FormallySmooth.iff_split_injection._simp_1_1
Mathlib.RingTheory.Smooth.Basic
[ "LinearMap.instFunLike", "RingHom", "LinearMap.ext_iff", "LinearMap", "AddCommMonoid", "propext", "Semiring", "Module", "Semiring.toNonAssocSemiring", "Eq", "DFunLike.coe" ]
false
toColex
Mathlib.Order.Lex
[ "Colex", "Equiv", "Equiv.refl" ]
true
IntermediateField.inclusion_injective
Mathlib.FieldTheory.IntermediateField.Basic
[ "IntermediateField.instPartialOrder", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "instSMulOfMul", "CommRing.toNonUnitalCommRing", "IntermediateField", "AlgHom", "AlgHom.funLike", "IntermediateField.toField", "PartialOrder.toPreorder", "Algebra", "Preorder.toLE", "Membership.mem", "Alge...
true
IsSelfAdjoint.add_star_self
Mathlib.Algebra.Star.SelfAdjoint
[ "IsSelfAdjoint", "_private.Mathlib.Algebra.Star.SelfAdjoint.0.IsSelfAdjoint.add_star_self._simp_1_1", "AddMonoid.toAddSemigroup", "star_star", "congrArg", "StarAddMonoid.star_add", "StarAddMonoid.toInvolutiveStar", "add_comm", "AddCommMonoid", "instHAdd", "AddSemigroup.toAdd", "HAdd.hAdd", "...
true
_private.Std.Data.Iterators.Lemmas.Combinators.Monadic.TakeWhile.0.Std.IterM.step_takeWhileWithPostcondition.match_1.splitter
Std.Data.Iterators.Lemmas.Combinators.Monadic.TakeWhile
[ "ULift", "Std.Iterators.PostconditionT.Property", "Std.IterM.step_takeWhileWithPostcondition.match_1", "Subtype", "Subtype.mk", "Bool.true", "Bool", "Std.Iterators.PostconditionT", "ULift.up", "Bool.false" ]
true
_private.Lean.Meta.Tactic.Cbv.BuiltinCbvSimprocs.Core.0._regBuiltin._private.Lean.Meta.Tactic.Cbv.BuiltinCbvSimprocs.Core.0.Lean.Meta.Sym.Simp.simpOr.declare_4._@.Lean.Meta.Tactic.Cbv.BuiltinCbvSimprocs.Core.324783323._hygCtx._hyg.14
Lean.Meta.Tactic.Cbv.BuiltinCbvSimprocs.Core
[ "IO", "Lean.Meta.DiscrTree.Key.star", "Lean.Meta.DiscrTree.Key", "instOfNatNat", "Lean.Name.num", "Lean.Name.str", "List.toArray", "List.cons", "Lean.Name.anonymous", "Unit", "Lean.Meta.Tactic.Cbv.registerBuiltinCbvSimproc", "Nat", "_private.Lean.Meta.Tactic.Cbv.BuiltinCbvSimprocs.Core.0.Lea...
false
_private.Mathlib.Algebra.Order.Disjointed.0.partialSups_add_one_eq_sup_disjointed._simp_1_3
Mathlib.Algebra.Order.Disjointed
[ "Lattice.toSemilatticeSup", "PartialOrder.toPreorder", "GeneralizedCoheytingAlgebra", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "SemilatticeSup.toMax", "LE.le", "SDiff.sdiff", "Max.max", "propext", "GeneralizedCoheytingAlgebra.toLattice", "sdiff_le_iff", "Eq", "GeneralizedCoheyting...
false
AddCommMonCat.instCoeMonCat
Mathlib.Algebra.Category.MonCat.Basic
[ "AddMonCat.instConcreteCategoryAddMonoidHomCarrier", "AddCommMonCat.instCategory", "AddMonoid.toAddZeroClass", "AddCommMonCat", "AddZeroClass.toAddZero", "Coe.mk", "AddCommMonCat.instConcreteCategoryAddMonoidHomCarrier", "AddMonCat.str", "AddMonCat", "AddCommMonCat.hasForgetToAddMonCat", "AddMon...
true
_private.Mathlib.AlgebraicTopology.SimplicialSet.Skeleton.0.SSet.relativeCellComplexOfMono.isPushout_aux._simp_1_1
Mathlib.AlgebraicTopology.SimplicialSet.Skeleton
[ "CategoryTheory.Epi", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "PartialOrder.toPreorder", "instOfNatNat", "instHAdd", "OrderHom.instFunLike", "Fin.instPartialOrder", "HAdd.hAdd", "Nat", "propext", "SimplexCategory", "SimplexCategory.Hom.toOrderHom", "instAddNat", "Category...
false
SetRel.IsCover.mono_entourage
Mathlib.Data.Rel.Cover
[ "SetRel", "Membership.mem", "Exists", "Prod.mk", "HasSubset.Subset", "And", "SetRel.IsCover", "_private.Mathlib.Data.Rel.Cover.0.SetRel.IsCover.mono_entourage.match_1_1", "And.intro", "Exists.intro", "Prod", "Set.instMembership", "Set.instHasSubset", "Set" ]
true
CategoryTheory.ShrinkHoms.equivalence._proof_4
Mathlib.CategoryTheory.EssentiallySmall
[ "Equiv.apply_symm_apply", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "Equiv.symm_apply_apply", "CategoryTheory.LocallySmall", "CategoryTheory.instSmallHomOfLocallySmall", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.id", "CategoryTheory.C...
false
Lean.Elab.Command.Structure.StructFieldKind.copiedField
Lean.Elab.Structure
[ "Lean.Elab.Command.Structure.StructFieldKind", "Lean.Elab.Command.Structure.StructFieldKind.copiedField" ]
true
PowerSeries.evalNegHom
Mathlib.RingTheory.PowerSeries.Basic
[ "NegZeroClass.toNeg", "CommRing", "CommSemiring.toSemiring", "AddGroupWithOne.toAddMonoidWithOne", "RingHom", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "SubtractionCommMonoid.toSubtractionMonoid", "MvPowerSeries.instSemiring", "AddMonoidWithOne.toOne", "Unit", ...
true
Std.DTreeMap.Internal.instIteratorRxoIteratorIdSigma._proof_1
Std.Data.DTreeMap.Internal.Zipper
[ "Std.DTreeMap.Internal.RxoIterator.step", "Std.IterStep", "Ord", "Std.DTreeMap.Internal.RxoIterator", "Id", "Std.IterM.internalState", "Std.IterM", "Eq", "Sigma", "rfl" ]
false
Set.mulIndicator_self_mul_compl_apply
Mathlib.Algebra.Group.Indicator
[ "MulOne.toOne", "False", "HMul.hMul", "eq_false", "congrArg", "Compl.compl", "Set.mulIndicator", "by_cases", "Set.mulIndicator_of_notMem", "Membership.mem", "not_true_eq_false", "MulOne.toMul", "Set.instCompl", "MulOneClass.toMulOne", "Set.mem_compl_iff._simp_1", "congr", "True", "...
true
Std.DHashMap.Raw.isEmpty_iff_forall_not_mem
Std.Data.DHashMap.RawLemmas
[ "Std.DHashMap.Raw.WF", "Std.DHashMap.Raw.instMembershipOfBEqOfHashable", "Eq.mpr", "congrArg", "Std.DHashMap.Raw", "Membership.mem", "Std.DHashMap.Raw.contains", "_private.Std.Data.DHashMap.RawLemmas.0.Std.DHashMap.Raw.isEmpty_iff_forall_not_mem._simp_1_1", "id", "LawfulHashable", "Bool.true", ...
true
_private.Lean.Compiler.LCNF.Specialize.0.Lean.Compiler.LCNF.Specialize.Context.ctorIdx
Lean.Compiler.LCNF.Specialize
[ "_private.Lean.Compiler.LCNF.Specialize.0.Lean.Compiler.LCNF.Specialize.Context", "Nat" ]
false
Lean.Elab.Command.InductiveElabStep2.noConfusionType
Lean.Elab.MutualInductive
[ "Lean.CollectFVars.State", "Lean.Elab.Command.InductiveElabStep2", "Lean.Elab.Command.InductiveElabStep3", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "Lean.Level", "Array", "List", "Unit", "StateRefT'", "Nat", "Lean.Elab.Command.InductiveElabStep2.casesOn", "Lean.Elab.Term.TermElabM",...
false
SimpleGraph.Walk.instDecidableNil._proof_1
Mathlib.Combinatorics.SimpleGraph.Walk.Basic
[ "False", "SimpleGraph.Adj", "SimpleGraph.Walk", "SimpleGraph", "SimpleGraph.Walk.instDecidableNil.match_1", "SimpleGraph.Walk.cons", "SimpleGraph.Walk.Nil" ]
false
SemimoduleCat.Hom.hom₂_apply
Mathlib.Algebra.Category.ModuleCat.Semi
[ "SemimoduleCat.isModule", "SemimoduleCat.moduleCategory", "SemimoduleCat.instAddCommMonoidHom", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "SemimoduleCat.isAddCommMonoid", "CommSemiring.toSemiring", "LinearMap.instFunLike", "SemimoduleCat", "LinearMap.module", "LinearMap", "Semimo...
true
ContinuousMultilinearMap.compContinuousLinearMapL._proof_4
Mathlib.Topology.Algebra.Module.Multilinear.Topology
[ "AddMonoid.toAddSemigroup", "AddCommGroup.toAddGroup", "AddCommGroup", "IsTopologicalAddGroup.toContinuousAdd", "TopologicalSpace", "AddSemigroup.toAdd", "AddGroup.toSubNegMonoid", "SubNegMonoid.toAddMonoid", "ContinuousAdd", "IsTopologicalAddGroup" ]
false
AddMagmaCat.instConcreteCategoryAddHomCarrier._proof_1
Mathlib.Algebra.Category.Semigrp.Basic
[ "AddHom", "AddMagmaCat.str", "id", "AddMagmaCat.carrier", "_private.Mathlib.Algebra.Category.Semigrp.Basic.0.AddMagmaCat.Hom.mk", "AddMagmaCat", "AddMagmaCat.Hom.hom'", "Eq.refl", "Eq" ]
false