name
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2
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module
stringlengths
6
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deps
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allowCompletion
bool
2 classes
BoxIntegral.Prepartition.instSemilatticeInf._proof_3
Mathlib.Analysis.BoxIntegral.Partition.Basic
[ "Iff.mpr", "BoxIntegral.Prepartition", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "BoxIntegral.Prepartition.restrict_mono", "LE.le", "BoxIntegral.Prepartition.restrict", "And", "And.intro", "BoxIntegral.Prepartition.partialOrder", "BoxIntegral.Prepartition.biUnion", "BoxIn...
false
String.Model.positionsFrom_eq_cons
Init.Data.String.Lemmas.Iterate
[ "Eq.mpr", "of_eq_false", "String.Pos.next", "eq_false", "congrArg", "String", "String.Model.positionsFrom", "id", "Subtype", "Ne", "dite", "List.cons", "Subtype.mk", "List", "_private.Init.Data.String.Lemmas.Iterate.0.String.Model.positionsFrom.eq_1", "True", "eq_self", "String.end...
true
ByteArray.get_set_eq._proof_1
Batteries.Data.ByteArray
[ "ByteArray.set", "Lean.Grind.instIsPreorderNat", "congrArg", "Std.instReflLeOfIsPreorder", "Std.le_refl._simp_1", "LE.le", "instLENat", "Fin.val", "Nat", "LT.lt", "True", "ByteArray.size_set", "Fin.val_lt_of_le", "of_eq_true", "instLTNat", "ByteArray", "ByteArray.size_set._proof_2", ...
false
MeasureTheory.Measure.OuterRegular.smul
Mathlib.MeasureTheory.Measure.Regular
[ "Eq.mpr", "instHSMul", "MeasureTheory.Measure", "Preorder.toLT", "iInf", "Semiring.toModule", "instSMulOfMul", "HMul.hMul", "IsScalarTower.right", "MeasurableSet", "Iff.of_eq", "congrArg", "CommSemiring.toSemiring", "SMulWithZero.toSMulZeroClass", "MeasureTheory.Measure.OuterRegular", ...
true
CategoryTheory.unop_inv_associator
Mathlib.CategoryTheory.Monoidal.Opposite
[ "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "Quiver.Hom.unop", "CategoryTheory.MonoidalCategoryStruct.tensorObj", "CategoryTheory.Category.opposite", "CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct", "CategoryTheory.Category.toCate...
true
DFinsupp.erase_neg
Mathlib.Data.DFinsupp.Defs
[ "AddGroup.toSubtractionMonoid", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "DFinsupp.erase", "SubtractionMonoid.toSubNegZeroMonoid", "DFinsupp.instNeg", "AddMonoidHom.map_neg", "SubNegZeroMonoid.toNegZeroClass", "AddZero.toZero", "AddGroup", "AddGroup.toSubNegMonoid", "DFinsupp.eras...
true
_private.Lean.Elab.MutualInductive.0.Lean.Elab.Command.AccLevelState.noConfusion
Lean.Elab.MutualInductive
[ "_private.Lean.Elab.MutualInductive.0.Lean.Elab.Command.AccLevelState.casesOn", "_private.Lean.Elab.MutualInductive.0.Lean.Elab.Command.AccLevelState", "Int", "Lean.LevelMap", "Eq.ndrec", "Eq.refl", "Eq", "_private.Lean.Elab.MutualInductive.0.Lean.Elab.Command.AccLevelState.noConfusionType" ]
false
MvPolynomial.degrees_map_of_injective
Mathlib.Algebra.MvPolynomial.Degrees
[ "Finsupp.instAddZeroClass", "Nat.instMulZeroClass", "Lattice.toSemilatticeSup", "Finsupp.toMultiset", "congrArg", "CommSemiring.toSemiring", "Finset", "AddMonoid.toAddZeroClass", "Multiset.instAddCancelCommMonoid", "Multiset.instLattice", "Nat.instAddMonoid", "RingHom", "AddZeroClass.toAddZe...
true
Filter.Eventually.exists_lt
Mathlib.Topology.Order.LeftRight
[ "Preorder.toLT", "frequently_lt_nhds", "Filter.NeBot", "nhdsWithin", "Filter.Eventually", "Exists", "nhds", "TopologicalSpace", "Filter.Frequently.and_eventually", "And", "Filter.Frequently.exists", "LT.lt", "Set.Iio", "Preorder" ]
true
_private.Lean.Meta.Tactic.Grind.ProveEq.0.Lean.Meta.Grind.abstractGroundMismatches?.goCore._sparseCasesOn_7
Lean.Meta.Tactic.Grind.ProveEq
[ "Nat.ne_of_beq_eq_false", "Lean.Expr.const", "Lean.Expr.letE", "Lean.Expr.mvar", "Nat.shiftRight", "Lean.MVarId", "Lean.Expr", "Lean.FVarId", "Nat.hasNotBit", "instOfNatNat", "Lean.Expr.sort", "Lean.Expr.bvar", "Lean.Level", "Lean.Literal", "Lean.Expr.mdata", "Lean.Expr.fvar", "Lean....
false
_private.Mathlib.Analysis.SpecialFunctions.PolarCoord.0.polarCoord._simp_7
Mathlib.Analysis.SpecialFunctions.PolarCoord
[ "HMul.hMul", "MulZeroClass.toMul", "MulZeroClass", "mul_eq_zero", "NoZeroDivisors", "propext", "Zero.toOfNat0", "Or", "OfNat.ofNat", "Eq", "MulZeroClass.toZero", "instHMul" ]
false
_private.Lean.Compiler.LCNF.ExplicitRC.0.Lean.Compiler.LCNF.CollectDerivedValInfo.State._sizeOf_inst
Lean.Compiler.LCNF.ExplicitRC
[ "_private.Lean.Compiler.LCNF.ExplicitRC.0.Lean.Compiler.LCNF.CollectDerivedValInfo.State._sizeOf_1", "SizeOf.mk", "SizeOf", "_private.Lean.Compiler.LCNF.ExplicitRC.0.Lean.Compiler.LCNF.CollectDerivedValInfo.State" ]
false
_private.Mathlib.Algebra.Algebra.Spectrum.Basic.0.spectrum.«_aux_Mathlib_Algebra_Algebra_Spectrum_Basic___macroRules__private_Mathlib_Algebra_Algebra_Spectrum_Basic_0_spectrum_term↑ₐ_2_1»
Mathlib.Algebra.Algebra.Spectrum.Basic
[ "Pure.pure", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Name.mkNum", "Lean.Syntax.ident", "instMonadExceptOfMonadExceptOf", "String", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.TSyntax.mk", "Lean.Syntax", "Lean.Name.mkStr...
false
HasFDerivAt.lim_real
Mathlib.Analysis.Calculus.FDeriv.Equiv
[ "HasFDerivAt", "Real.instIsOrderedRing", "Norm.norm", "Eq.mpr", "Real.partialOrder", "Real", "instHSMul", "Real.instArchimedean", "le_abs_self", "NormedSpace.toIsBoundedSMul", "Real.lattice", "NormedSpace", "Real.denselyNormedField", "Real.instZero", "congrArg", "Real.instInv", "Dist...
true
Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula.clearRupUnits.eq_1
Std.Tactic.BVDecide.LRAT.Internal.Formula.RupAddResult
[ "instOfNatNat", "Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula.clearRupUnits", "Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula", "List.toArray", "Array.foldl", "Array", "Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula.mk", "Nat", "Std.Tactic.BVDecide.LRAT.Internal.Assignment", "Std.Tactic.BV...
true
CategoryTheory.Limits.compCoyonedaSectionsEquiv_symm_apply_coe
Mathlib.CategoryTheory.Limits.Types.Yoneda
[ "CategoryTheory.Functor", "Opposite", "Equiv.instEquivLike", "CategoryTheory.coyoneda", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "Membership.mem", "Set.Elem", "Equiv", "CategoryTheory.Limits.compCoyonedaSectionsEq...
true
Std.Http.Version.toNumber
Std.Internal.Http.Data.Version
[ "Std.Http.Version", "_private.Std.Internal.Http.Data.Version.0.Std.Http.instReprVersion.repr.match_1", "Prod.mk", "instOfNatNat", "Unit", "Nat", "Prod", "OfNat.ofNat" ]
true
CategoryTheory.BiconeHom.decidableEq._proof_16
Mathlib.CategoryTheory.Limits.Bicones
[ "CategoryTheory.Bicone.diagram", "HEq.refl", "CategoryTheory.Bicone.left", "HEq", "CategoryTheory.BiconeHom", "CategoryTheory.Category" ]
false
_private.Mathlib.Algebra.Order.BigOperators.Group.Finset.0.Fintype.one_lt_prod_iff_of_one_le._simp_1_1
Mathlib.Algebra.Order.BigOperators.Group.Finset
[ "MulOne.toOne", "Pi.preorder", "Preorder.toLT", "Finset.univ", "Monoid.toMulOneClass", "PartialOrder.toPreorder", "PartialOrder", "Finset.prod", "MulOneClass.toMulOne", "Fintype", "CommMonoid.toMonoid", "Pi.instOne", "LT.lt", "True", "eq_true", "One.toOfNat1", "OfNat.ofNat", "Eq", ...
false
derivWithin_pi
Mathlib.Analysis.Calculus.Deriv.Prod
[ "NormedCommRing.toNormedRing", "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "fderivWithin_zero_of_not_accPt", "Semiring.toModule", "NormedRing.toRing", "NormedSpace", "Pi.topologicalSpace", "congrArg", "fderivWithin_pi", "AddCommGroup.toAddCommMonoid", "uniqueDiffWithinAt_iff_accPt", "Co...
true
FreeAbelianGroup.distrib._proof_2
Mathlib.GroupTheory.FreeAbelianGroup
[ "Equiv.instEquivLike", "HMul.hMul", "AddMonoid.toAddZeroClass", "Mul", "AddCommGroup.toAddGroup", "AddZeroClass.toAddZero", "Equiv", "instAddCommGroupFreeAbelianGroup", "instHAdd", "FreeAbelianGroup.lift", "AddGroup.toSubNegMonoid", "HAdd.hAdd", "FreeAbelianGroup.of", "AddZero.toAdd", "F...
false
CategoryTheory.PreGaloisCategory.instPreservesColimitsOfShapeFintypeCatSingleObjInclOfFinite
Mathlib.CategoryTheory.Galois.GaloisObjects
[ "MulEquiv.toSingleObjEquiv", "CategoryTheory.SingleObj.finCategoryOfFintype", "Monoid.toMulOneClass", "Finite", "FintypeCat", "Classical.choice", "Group", "Exists", "MulOne.toMul", "DivInvMonoid.toMonoid", "Group.toDivInvMonoid", "Classical.choose_spec", "MulOneClass.toMulOne", "FintypeCat...
true
CondensedSet.LocallyConstant.instFaithfulCondensedTypeDiscrete
Mathlib.Condensed.Discrete.LocallyConstant
[ "CategoryTheory.Limits.Types.hasColimitsOfShape", "CompHausLike.instFinitaryExtensiveOfHasExplicitPullbacksOfInclusions", "CategoryTheory.instFaithfulForget", "CategoryTheory.GrothendieckTopology.Cover.shape", "CategoryTheory.Functor", "Condensed.discrete", "Opposite", "Condensed._proof_1", "Opposit...
true
NonAssocRing.toNonUnitalNonAssocRing
Mathlib.Algebra.Ring.Defs
[ "NonUnitalNonAssocRing", "NonAssocRing" ]
true
Lean.TraceState
Lean.Util.Trace
[ "Lean.TraceState.mk" ]
true
_private.Mathlib.Algebra.Lie.Free.0._aux_Mathlib_Algebra_Lie_Free___unexpand_FreeNonUnitalNonAssocAlgebra_lift_comp_of_1
Mathlib.Algebra.Lie.Free
[ "Pure.pure", "cond", "Lean.TSyntax", "Unit.unit", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Name.mkNum", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "Lean.PrettyPrinter.UnexpandM", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Syntax.atom", "Lean.TSyntax.mk...
false
_private.Mathlib.Computability.TuringMachine.ToPartrec.0.Option.getD.match_1.eq_1
Mathlib.Computability.TuringMachine.ToPartrec
[ "Option.getD.match_1", "Option.some", "Option.none", "Unit", "Eq.refl", "Eq", "Option" ]
true
MeasureTheory.Measure.add_right_inj
Mathlib.MeasureTheory.Measure.Typeclasses.SFinite
[ "Eq.mpr", "ENNReal.instAdd", "MeasureTheory.Measure", "MeasurableSet", "MeasureTheory.measure_spanningSets_lt_top", "congrArg", "MeasureTheory.SigmaFinite", "ENNReal.add_right_inj", "PartialOrder.toPreorder", "MeasureTheory.Measure.restrict_apply", "MeasureTheory.Measure.restrict", "Eq.mp", ...
true
CategoryTheory.regularTopology.isLimit_forkOfι_equiv._proof_4
Mathlib.CategoryTheory.Sites.Coherent.RegularSheaves
[ "Unit.unit", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Presieve.ofArrows.mk", "CategoryTheory.Limits.WidePullbackShape.category", "Exists", "CategoryTheory.Limits.PullbackCone.fst", "CategoryTheory.Limits.Cone.pt", "CategoryTheory.Limits.WalkingPair", "And", "Unit",...
false
_private.Init.Data.List.ToArray.0.Array.replace.eq_1
Init.Data.List.ToArray
[ "Array.replace", "Array.set", "Fin.val", "Array", "_private.Init.Data.Array.Basic.0.Array.insertIdx.loop._proof_3", "Unit", "Array.finIdxOf?", "Eq.refl", "Fin", "BEq", "Eq", "Array.size", "_private.Init.Data.Array.Basic.0.Array.erase.match_1", "Option" ]
true
GenContFract.ext
Mathlib.Algebra.ContinuedFractions.Basic
[ "GenContFract.s", "Stream'.Seq", "HEq.refl", "Eq.casesOn", "GenContFract", "GenContFract.Pair", "Eq.ndrec", "_private.Mathlib.Algebra.ContinuedFractions.Basic.0.GenContFract.ext.match_1", "Eq.refl", "HEq", "GenContFract.h", "Eq.symm", "Eq", "GenContFract.mk" ]
true
SpectrumRestricts.of_rightInvOn
Mathlib.Algebra.Algebra.Spectrum.Quasispectrum
[ "Eq.mpr", "GroupWithZero.toMonoidWithZero", "RingHom.instRingHomClass", "Function.LeftInverse", "Algebra.algebraMap", "spectrum", "congrArg", "CommSemiring.toSemiring", "quasispectrum", "Set.RightInvOn", "Algebra", "DivisionSemiring.toGroupWithZero", "RingHom", "Membership.mem", "map_zer...
true
MinimalFor.not_lt
Mathlib.Order.Minimal
[ "Preorder.toLT", "Preorder.toLE", "LT.lt", "MinimalFor.not_prop_of_lt", "MinimalFor", "Not", "Preorder" ]
true
CompleteDistribLattice.MinimalAxioms.toCoframe
Mathlib.Order.CompleteBooleanAlgebra
[ "CompleteDistribLattice.MinimalAxioms", "Order.Coframe.MinimalAxioms", "CompleteDistribLattice.MinimalAxioms.iInf_sup_le_sup_sInf", "CompleteDistribLattice.MinimalAxioms.toCompleteLattice", "Order.Coframe.MinimalAxioms.mk" ]
true
Multiset.coe_card
Mathlib.Data.Multiset.Defs
[ "List", "Multiset.ofList", "Nat", "Multiset.card", "Eq", "List.length", "rfl" ]
true
Std.LawfulOrderMin.casesOn
Init.Data.Order.Classes
[ "Std.LawfulOrderMin", "Std.LawfulOrderMin.mk", "LE", "Min", "Std.MinEqOr", "Std.LawfulOrderMin.rec", "Std.LawfulOrderInf" ]
false
_private.Std.Data.DHashMap.Internal.Model.0.Std.DHashMap.Internal.exists_bucket_of_uset._simp_1_2
Std.Data.DHashMap.Internal.Model
[ "And", "Bool.or_eq_false_iff", "propext", "Bool", "Bool.or", "Bool.false", "Eq" ]
false
Array.permute!
Mathlib.Data.Array.Defs
[ "Array.cyclicPermute!", "List.foldl", "Array", "List", "Nat", "Inhabited" ]
true
FinBddDistLat.Iso.mk._proof_13
Mathlib.Order.Category.FinBddDistLat
[ "BddDistLat.isBoundedOrder", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "FinBddDistLat.instDistribLatticeCarrier", "DistLat.str", "DistribLattice.toLattice", "OrderIso", "OrderIso.instEquivLike", "OrderIso.instOrderIsoClass", "OrderIso.symm", "FinBddDistLat", ...
false
List.flatMap_eq_nil_iff
Init.Data.List.Lemmas
[ "congrArg", "List.map", "Membership.mem", "Exists", "iff_self", "List", "And", "Iff", "_private.Init.Data.List.Lemmas.0.List.flatMap_eq_nil_iff._simp_1_3", "List.instMembership", "implies_congr", "True", "_private.Init.Data.List.Lemmas.0.List.flatMap_eq_nil_iff._simp_1_1", "Iff.trans", "...
true
CategoryTheory.IsCardinalFiltered.exists_cardinal_directed.Diagram._sizeOf_inst
Mathlib.CategoryTheory.Presentable.Directed
[ "CategoryTheory.IsCardinalFiltered.exists_cardinal_directed.Diagram", "Cardinal", "CategoryTheory.SmallCategory", "SizeOf.mk", "CategoryTheory.IsCardinalFiltered.exists_cardinal_directed.Diagram._sizeOf_1", "SizeOf" ]
false
QuotientAddGroup.liftEquiv._proof_4
Mathlib.GroupTheory.QuotientGroup.Defs
[ "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "AddSubgroup.instPartialOrder", "QuotientAddGroup.Quotient.addGroup", "AddZeroClass.toAddZero", "QuotientAddGroup.liftEquiv._proof_3", "Eq.le", "QuotientAddGroup.liftEquiv._proof_1", "AddSubgroup", "AddSubgroup.Normal", "HasQuotient.Quotient...
false
Lean.Elab.UserWidgetInfo.ctorIdx
Lean.Elab.InfoTree.Types
[ "Lean.Elab.UserWidgetInfo", "Nat" ]
false
Stream'.Seq1.join_nil
Mathlib.Data.Seq.Basic
[ "Stream'.Seq", "Prod.mk", "Stream'.Seq.join", "Stream'.Seq.nil", "Stream'.Seq1", "Eq", "rfl", "Stream'.Seq1.join" ]
true
_private.Std.Data.DTreeMap.Internal.Balancing.0.Std.DTreeMap.Internal.Impl.balance!_eq_balanceₘ._proof_1_11
Std.Data.DTreeMap.Internal.Balancing
[ "Lean.Omega.LinearCombo.coordinate_eval_6", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "HMul.hMul", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "HSub.hSub", "Lean.Omega.Int.add_congr", "Std.DTreeMap...
false
IsDecompositionField.ringEquiv._proof_1
Mathlib.NumberTheory.RamificationInertia.HilbertTheory
[ "Module.Free.instFaithfulSMulOfNontrivial", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "Algebra", "Field.toDivisionRing", "Field.instIsLocalRing", "AddZeroClass.toAddZero", "Algebra.toModule", "DistribSMul.toSMulZeroClass", "DivisionRing.toRing", "...
false
_private.Lean.Elab.App.0.Lean.Elab.Term.elabPipeProj.match_1
Lean.Elab.App
[ "_private.Lean.Elab.App.0.Lean.Elab.Term.findDeprecatedBinderName?._sparseCasesOn_1", "Option.ctorIdx", "Option.some", "Nat.hasNotBit", "Prod.mk", "String.Pos.Raw", "Prod", "Prod.casesOn", "Option" ]
false
finSuccEquivLast
Mathlib.Logic.Equiv.Fin.Basic
[ "Equiv", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "Fin.last", "instAddNat", "OfNat.ofNat", "Fin", "finSuccEquiv'", "Option" ]
true
_private.Lean.Compiler.LCNF.AlphaEqv.0.Lean.Compiler.LCNF.AlphaEqv.eqvArg._sparseCasesOn_2
Lean.Compiler.LCNF.AlphaEqv
[ "Lean.Compiler.LCNF.Arg.ctorIdx", "Lean.Compiler.LCNF.Arg", "Lean.Compiler.LCNF.Arg.fvar", "Nat.ne_of_beq_eq_false", "Nat.shiftRight", "Lean.Expr", "Lean.FVarId", "Nat.hasNotBit", "Lean.Compiler.LCNF.Arg.rec", "instOfNatNat", "Lean.Compiler.LCNF.Purity", "Lean.Compiler.LCNF.Purity.pure", "Na...
false
RestrictedProduct.mapAlongAddMonoidHom._proof_2
Mathlib.Topology.Algebra.RestrictedProduct.Basic
[ "SetLike", "AddMonoidHom.instAddMonoidHomClass", "Filter.Eventually", "AddMonoid.toAddZeroClass", "AddSubmonoidClass", "AddZeroClass.toAddZero", "map_add", "RestrictedProduct.instDFunLike", "RestrictedProduct", "instHAdd", "SetLike.coe", "HAdd.hAdd", "Filter.Tendsto", "Set.MapsTo", "AddM...
false
MeasureTheory.spanningSets_mono
Mathlib.MeasureTheory.Measure.Typeclasses.SFinite
[ "MeasureTheory.Measure", "MeasureTheory.monotone_spanningSets", "MeasureTheory.SigmaFinite", "HasSubset.Subset", "LE.le", "instLENat", "MeasurableSpace", "Nat", "MeasureTheory.spanningSets", "Set.instHasSubset", "Set" ]
true
HasStrictFDerivAt.eventually_apply_eq_iff_implicitFunctionOfProdDomain
Mathlib.Analysis.Calculus.ImplicitFunction.ProdDomain
[ "ContinuousLinearMap.comp", "HasStrictFDerivAt.implicitFunctionOfProdDomain", "Eq.mpr", "ImplicitFunctionData.leftFun", "Prod.normedSpace", "CompleteSpace", "HasStrictFDerivAt.rightFun_implicitFunctionDataOfProdDomain", "Prod.normedAddCommGroup", "NormedSpace", "congrArg", "AddCommGroup.toAddCom...
true
IsOfFinOrder.inv
Mathlib.GroupTheory.OrderOfElement
[ "Iff.mpr", "DivInvOneMonoid.toInvOneClass", "isOfFinOrder_inv_iff", "Group", "Group.toDivisionMonoid", "DivisionMonoid.toDivInvOneMonoid", "DivInvMonoid.toMonoid", "Group.toDivInvMonoid", "Inv.inv", "InvOneClass.toInv", "IsOfFinOrder" ]
true
CategoryTheory.Limits.colimit.smul._proof_2
Mathlib.Algebra.Category.ModuleCat.Stalk
[ "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.IsFiltered.rightToMax", "instHSMul", "CategoryTheory.Functor.ιColimitType_eq_of_map_eq_map", "CategoryTheory.CategoryStruct.toQuiver", "AddCommGrpCat.instCategory", "Quiver.Hom", "congrArg", "CategoryTheory.ConcreteCategory...
false
_private.Mathlib.RingTheory.IsTensorProduct.0.IsTensorProduct.assoc._proof_3
Mathlib.RingTheory.IsTensorProduct
[ "IsTensorProduct.equiv._proof_1", "instSMulOfMul", "_private.Mathlib.RingTheory.IsTensorProduct.0.IsTensorProduct.assocAux._proof_2", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsScalarTower", "TensorProduct.addCommMonoid", "AddMonoid.toAddZeroClass", "Algebra", "Algebra.toSMul"...
false
UniqueFactorizationMonoid.iff_exists_prime_mem_of_isPrime
Mathlib.RingTheory.UniqueFactorizationDomain.Kaplansky
[ "IsDomain", "Semiring.toModule", "CommSemiring.toSemiring", "Prime", "CommSemiring.toCommMonoidWithZero", "Membership.mem", "Exists", "UniqueFactorizationMonoid", "Ne", "Bot.bot", "Ideal", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "Submodule.instBot", "And", "Iff", ...
true
SSet.Truncated.HomotopyCategory.functorEquiv._proof_4
Mathlib.AlgebraicTopology.SimplicialSet.NerveAdjunction
[ "SSet.Truncated.Edge", "Eq.mpr", "CategoryTheory.ObjectProperty.FullSubcategory.mk", "instNeZeroNatHAdd_1", "CategoryTheory.NatTrans.naturality_apply", "Opposite", "Equiv.instEquivLike", "CategoryTheory.ComposableArrows.right", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", ...
false
_private.Init.Data.Format.Basic.0.Std.Format.SpaceResult.mk.noConfusion
Init.Data.Format.Basic
[ "_private.Init.Data.Format.Basic.0.Std.Format.SpaceResult", "id", "_private.Init.Data.Format.Basic.0.Std.Format.SpaceResult.mk", "Nat", "Bool", "_private.Init.Data.Format.Basic.0.Std.Format.SpaceResult.noConfusion", "Eq" ]
false
ContinuousMultilinearMap.smul_apply
Mathlib.Topology.Algebra.Module.Multilinear.Basic
[ "instHSMul", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "ContinuousMultilinearMap.instSMul", "ContinuousMultilinearMap", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "ContinuousMultilinearMap.funLike", "ContinuousConstSMul", "AddCommMonoid", "TopologicalSpace", "...
true
le_liminf_add._auto_3
Mathlib.Topology.Algebra.Order.LiminfLimsup
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.Name.mkStr2", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
Ideal.Quotient.divisionRing._proof_7
Mathlib.RingTheory.Ideal.Quotient.Basic
[ "Submodule.Quotient.instZeroQuotient", "Semigroup.toMul", "Semiring.toModule", "HMul.hMul", "GroupWithZero.mul_inv_cancel", "Ideal.Quotient.exists_inv", "AddMonoid.toZero", "Classical.propDecidable", "Ideal.IsTwoSided", "Ne", "Ideal", "dite", "instDistribOfSemiring", "HasQuotient.Quotient"...
false
Mathlib.Tactic.Rify._aux_Mathlib_Tactic_Rify___macroRules_Mathlib_Tactic_Rify_rify_1
Mathlib.Tactic.Rify
[ "Pure.pure", "Lean.Syntax.TSepArray.mk", "Lean.Syntax.node", "Lean.TSyntax", "Unit.unit", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Syntax.ident", "instMonadExceptOfMonadExceptOf", "Lean.Syntax.getArgs", "String", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.TSepArray.getElems", "Lea...
false
CategoryTheory.MonoidalCategory.rightUnitor_tensor_hom
Mathlib.CategoryTheory.Monoidal.Category
[ "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.MonoidalCategoryStruct.rightUnitor", "CategoryTheory.MonoidalCategory", "CategoryTheory.MonoidalCategory.whiskerLeft_rightUnitor", "CategoryTheory.MonoidalCategorySt...
true
Lean.Doc.Data.Const.casesOn
Lean.Elab.DocString.Builtin
[ "Lean.Doc.Data.Const.rec", "Lean.Name", "Lean.Doc.Data.Const", "Lean.Doc.Data.Const.mk" ]
false
_private.Mathlib.Geometry.Manifold.VectorBundle.CovariantDerivative.Torsion.0.CovariantDerivative.torsion._proof_1
Mathlib.Geometry.Manifold.VectorBundle.CovariantDerivative.Torsion
[ "CovariantDerivative.isCovariantDerivativeOn", "_private.Mathlib.Geometry.Manifold.VectorBundle.CovariantDerivative.Torsion.0.IsCovariantDerivativeOn.torsion._proof_1", "TangentSpace.fiberBundle", "NormedSpace", "CovariantDerivative.toFun", "ENat.instNatCast", "instContinuousSMulTangentSpace", "instAd...
false
CategoryTheory.GrothendieckTopology.Cover.oneHypercover
Mathlib.CategoryTheory.Sites.Hypercover.One
[ "CategoryTheory.PreZeroHypercover.f", "CategoryTheory.GrothendieckTopology.Cover.preOneHypercover", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.PreOneHypercover", "CategoryTheory.PreOneHypercover.toPreZeroHypercover", "CategoryTheory.GrothendieckTopology.Cover.oneHypercover._...
true
List.TProd.elim'.eq_1
Mathlib.Data.Prod.TProd
[ "Membership.mem", "List.TProd.elim", "List.TProd.elim'", "List", "List.instMembership", "List.TProd", "Eq.refl", "Eq", "DecidableEq" ]
true
Mathlib.Notation3.DelabKey.app
Mathlib.Util.Notation3
[ "Mathlib.Notation3.DelabKey", "Nat", "Lean.Name", "Mathlib.Notation3.DelabKey.app", "Option" ]
true
AbsoluteValue.IsAdmissible.exists_approx_aux
Mathlib.NumberTheory.ClassNumber.AdmissibleAbsoluteValue
[ "Int.cast", "Eq.mpr", "instNeZeroNatHAdd_1", "_private.Mathlib.NumberTheory.ClassNumber.AdmissibleAbsoluteValue.0.AbsoluteValue.IsAdmissible.exists_approx_aux._simp_1_2", "MulOne.toOne", "False", "Real", "Nat.recAux", "Fintype.card_fin", "instHSMul", "HMul.hMul", "Finset.univ", "Fin.casesOn"...
true
IsUnifLocDoublingMeasure.definition._proof_1._@.Mathlib.MeasureTheory.Covering.DensityTheorem.1554790178._hygCtx._hyg.2
Mathlib.MeasureTheory.Covering.DensityTheorem
[ "Real.instIsOrderedRing", "Mathlib.Tactic.Ring.Common.neg_zero", "Eq.mpr", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.Ring.Common.neg_mul", "Real.partialOrder", "Real", "MeasureTheory.Measure", "Mathlib.Tactic.Linarith.mul_nonpos", "Preorder.toLT", "instHD...
false
integrableOn_Icc_iff_integrableOn_Ioc'._auto_3
Mathlib.MeasureTheory.Integral.IntegrableOn
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
_private.Mathlib.NumberTheory.NumberField.Completion.FinitePlace.0.NumberField.FinitePlace.hasFiniteMulSupport_int._simp_1_1
Mathlib.NumberTheory.NumberField.Completion.FinitePlace
[ "Int.instAddCommGroup", "Norm.norm", "Multiplicative.linearOrder", "Real", "NumberField.RingOfIntegers.instIsFractionRing", "NumberField.instCommRingRingOfIntegers", "AddGroupWithOne.toAddGroup", "NumberField.FinitePlace.instFunLikeReal", "Int.instLinearOrder", "NumberField.FinitePlace.norm_embedd...
false
CategoryTheory.SpectralSequence.pageXIsoOfEq
Mathlib.Algebra.Homology.SpectralSequence.Basic
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.SpectralSequence", "CategoryTheory.eqToIso", "CategoryTheory.SpectralSequence.pageXIsoOfEq._proof_8", "CategoryTheory.Abelian", "CategoryTheory.SpectralSequence.pageXIsoOfEq._proof_6", "CategoryTheory.Iso", "Int", "LE.le", "ComplexShape", "...
true
MonoidHom.fst
Mathlib.Algebra.Group.Prod
[ "MulOne.toOne", "MonoidHom", "OneHom.mk", "Prod.instMulOneClass", "MonoidHom.mk", "Prod.fst", "MulOneClass.toMulOne", "MulOneClass", "Prod", "MonoidHom.fst._proof_2", "MonoidHom.fst._proof_1" ]
true
_private.Batteries.Data.List.Lemmas.0.List.isChain_iff_getElem._proof_1_5
Batteries.Data.List.Lemmas
[ "Lean.RArray.leaf", "Lean.Grind.Nat.lt_eq", "Lean.RArray.branch", "Nat.Linear.ExprCnstr.eq_of_toNormPoly_eq", "id", "instOfNatNat", "LE.le", "instLENat", "Nat.Linear.Expr.num", "List.cons", "Bool.true", "instHAdd", "HAdd.hAdd", "Nat", "LT.lt", "Eq.substr", "Bool", "instAddNat", "...
false
Matrix.diagonalInvertibleEquivInvertible._proof_2
Mathlib.LinearAlgebra.Matrix.NonsingularInverse
[ "CommRing", "Invertible.subsingleton", "CommSemiring.toSemiring", "AddGroupWithOne.toAddMonoidWithOne", "Matrix.diagonalInvertible", "instDistribOfSemiring", "AddMonoidWithOne.toOne", "CommRing.toCommSemiring", "Matrix.invertibleOfDiagonalInvertible", "Fintype", "Distrib.toMul", "Pi.instOne", ...
false
_private.Mathlib.AlgebraicTopology.SimplicialSet.Subcomplex.0.SSet.Subcomplex.preimage_image_of_isIso._simp_1_2
Mathlib.AlgebraicTopology.SimplicialSet.Subcomplex
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "CategoryTheory.Functor.category", "CategoryTheory.ConcreteCategory", "CategoryTheory.NatTrans.comp_app_apply", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCa...
false
MeasureTheory.condExp_add
Mathlib.MeasureTheory.Function.ConditionalExpectation.Basic
[ "MeasureTheory.ae", "Eq.mpr", "MeasureTheory.Lp.coeFn_add", "Real", "MeasureTheory.Measure", "CompleteSpace", "MeasurableSpace.instLE", "Filter.EventuallyEq.trans", "NormedSpace", "congrArg", "AddCommGroup.toAddCommMonoid", "MeasureTheory.AEEqFun.cast", "Filter.EventuallyEq.refl._simp_1", ...
true
MeasureTheory.measure_ne_top._simp_1
Mathlib.MeasureTheory.Measure.Typeclasses.Finite
[ "False", "MeasureTheory.Measure", "eq_false", "MeasureTheory.measure_ne_top", "MeasurableSpace", "MeasureTheory.IsFiniteMeasure", "ENNReal", "ENNReal.instTop", "Top.top", "Eq", "DFunLike.coe", "MeasureTheory.Measure.instFunLike", "Set" ]
false
_private.Mathlib.Combinatorics.SimpleGraph.Paths.0.SimpleGraph.Walk.IsCycle.count_support_of_mem._proof_1_1
Mathlib.Combinatorics.SimpleGraph.Paths
[ "Iff.mpr", "Lean.Grind.nestedProof", "SimpleGraph.Walk.support", "SimpleGraph.Walk", "List.length_pos_iff", "instOfNatNat", "SimpleGraph", "List", "Nat", "LT.lt", "SimpleGraph.Walk.support_ne_nil", "instLTNat", "OfNat.ofNat", "Eq", "List.length", "Not", "List.nil" ]
false
ProbabilityTheory.IsRatCondKernelCDFAux.mono'
Mathlib.Probability.Kernel.Disintegration.CDFToKernel
[ "MeasureTheory.ae", "Real.instLE", "Real", "MeasureTheory.Measure", "Filter.Eventually", "Rat", "ProbabilityTheory.Kernel.instFunLike", "Prod.mk", "LE.le", "Rat.instLE", "MeasurableSpace", "Real.measurableSpace", "ProbabilityTheory.IsRatCondKernelCDFAux", "Prod", "DFunLike.coe", "Proba...
true
List.instSingletonList
Mathlib.Data.List.Basic
[ "List.cons", "Singleton", "List", "Singleton.mk", "List.nil" ]
true
UInt8.ofNatTruncate_toNat
Init.Data.UInt.Lemmas
[ "Eq.mpr", "UInt8.ofNatTruncate_eq_ofNat", "congrArg", "id", "UInt8.toNat_lt", "UInt8.ofNatTruncate", "True", "eq_self", "of_eq_true", "congrFun'", "UInt8.ofNat", "UInt8.ofNat_toNat", "UInt8.toNat", "UInt8", "Eq", "Eq.trans" ]
true
Std.ExtHashSet.insertMany_list_eq_empty_iff
Std.Data.ExtHashSet.Lemmas
[ "Eq.mpr", "Std.ExtHashSet.instEmptyCollection", "congrArg", "instForInOfForIn'", "Std.ExtHashSet", "_private.Std.Data.ExtHashSet.Lemmas.0.Std.ExtHashSet.insertMany_list_eq_empty_iff._simp_1_1", "inferInstance", "id", "Id", "Membership", "LawfulHashable", "Std.ExtHashMap", "Std.ExtHashMap.ins...
true
List.forall_mem_replicate
Init.Data.List.Lemmas
[ "List.replicate", "False", "congrArg", "true_or", "False.elim", "noConfusion_of_Nat", "Membership.mem", "Ne", "instOfNatNat", "false_or", "List.not_mem_nil._simp_1", "false_implies", "Nat.casesAuxOn", "iff_self", "List", "instHAdd", "And", "Iff", "List.mem_replicate._simp_1", "...
true
Std.Internal.IO.Async.EAsync.raceAll
Std.Internal.Async.Basic
[ "Std.Internal.IO.Async.EAsync.instMonad", "Task", "IO.Promise.new", "ForM.forM", "ForM", "Std.Internal.IO.Async.ETask", "IO.Promise.result!", "_private.Std.Internal.Async.Basic.0.Std.Internal.IO.Async.EAsync.race._proof_1", "instMonadLiftT", "Std.Internal.IO.Async.EAsync.instMonadLiftBaseIO", "B...
true
OrderMonoidIso.recOn
Mathlib.Algebra.Order.Hom.Monoid
[ "OrderMonoidIso.rec", "Preorder.toLE", "Mul", "MulEquiv.toEquiv", "Equiv.toFun", "LE.le", "Iff", "OrderMonoidIso", "MulEquiv", "OrderMonoidIso.mk", "Preorder" ]
false
Localization.one_rel
Mathlib.GroupTheory.MonoidLocalization.Basic
[ "MulOne.toOne", "Submonoid.mul", "Localization.r", "Monoid.toMulOneClass", "Prod.instMul", "setOf", "Membership.mem", "MulOne.toMul", "Subtype", "Prod.mk", "MulOneClass.toMulOne", "CommMonoid.toMonoid", "One.toOfNat1", "Con", "Submonoid.one", "Submonoid.instSetLike", "Prod", "OfNat...
true
MonomialOrder.degree_add_eq_right_of_lt
Mathlib.RingTheory.MvPolynomial.MonomialOrder
[ "Eq.mpr", "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "Preorder.toLT", "AddMonoidAlgebra.addAddCommMonoid", "congrArg", "CommSemiring.toSemiring", "MonomialOrder.syn", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "Finsupp.instAddMonoid", "Nat.instAddMonoid", "SemilatticeIn...
true
_private.Lean.Meta.LevelDefEq.0.Lean.Meta.isLevelDefEqAuxImpl.match_1
Lean.Meta.LevelDefEq
[ "Lean.Level.ctorIdx", "Nat.hasNotBit", "Lean.Level", "_private.Lean.Meta.LevelDefEq.0.Lean.Meta.isLevelDefEqAuxImpl._sparseCasesOn_1", "Lean.Level.succ" ]
false
Algebra.IsIntegral.adjoin
Mathlib.RingTheory.IntegralClosure.IsIntegralClosure.Basic
[ "Subalgebra.instSetLike", "CommRing", "CommSemiring.toSemiring", "PartialOrder.toPreorder", "Algebra", "Preorder.toLE", "Algebra.adjoin", "Membership.mem", "Subtype", "Algebra.IsIntegral", "le_integralClosure_iff_isIntegral", "LE.le", "Subalgebra.toRing", "CommRing.toCommSemiring", "IsIn...
true
CategoryTheory.Limits.ColimitPresentation.bind._proof_3
Mathlib.CategoryTheory.Presentable.ColimitPresentation
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.ColimitPresentation.Total.Hom.hom", "CategoryTheory.CategoryStruct.id", "id", "CategoryTheory.SmallCategory", "Sigma.fst", "CategoryTheory.Limits.ColimitPresentation.diag", "CategoryTheory.Limits.ColimitPresentation.Total...
false
List.mem_zipIdx'._proof_2
Init.Data.List.Nat.Range
[ "List.snd_lt_add_of_mem_zipIdx", "Membership.mem", "_private.Init.Data.List.Nat.Range.0.List.mem_zipIdx'._proof_1", "Prod.mk", "instOfNatNat", "LE.le", "instLENat", "List", "instHAdd", "List.instMembership", "HAdd.hAdd", "Nat", "LT.lt", "Decidable.byContradiction", "Nat.decLt", "instAd...
false
Multiset.instUnion
Mathlib.Data.Multiset.UnionInter
[ "Union", "Multiset", "Union.mk", "Multiset.union", "DecidableEq" ]
true
CauSeq.Completion.Cauchy.divisionRing._proof_5
Mathlib.Algebra.Order.CauSeq.Completion
[ "Semigroup.toMul", "HMul.hMul", "LinearOrder", "CauSeq.Completion.Cauchy", "IsStrictOrderedRing", "SemilatticeInf.toPartialOrder", "DivisionRing.toDivisionSemiring", "DistribLattice.toLattice", "DivInvMonoid.toMonoid", "DivisionRing.toRing", "Int", "DivInvMonoid.zpow", "CauSeq.Completion.ins...
false
SchwartzMap.smulLeftCLM_compL_smulLeftCLM
Mathlib.Analysis.Distribution.SchwartzSpace.Basic
[ "ContinuousLinearMap.comp", "NormedCommRing.toNormedRing", "NormedCommRing.toSeminormedCommRing", "Real", "NormedRing.toRing", "NormedSpace.toIsBoundedSMul", "HMul.hMul", "NormedSpace", "SchwartzMap.instModule", "Real.instZero", "NormedAddCommGroup.toMetricSpace", "DistribMulAction.toDistribSM...
true
_private.Init.Data.Array.Sort.Basic.0.Array.MergeSort.Internal.merge._proof_2
Init.Data.Array.Sort.Basic
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Subarray", "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.Lin...
false
Lean.Meta.Grind.Arith.Linear.LinearM.Context._sizeOf_inst
Lean.Meta.Tactic.Grind.Arith.Linear.LinearM
[ "Lean.Meta.Grind.Arith.Linear.LinearM.Context", "SizeOf.mk", "Lean.Meta.Grind.Arith.Linear.LinearM.Context._sizeOf_1", "SizeOf" ]
false
RpcEncodablePacket._sizeOf_inst._@.Mathlib.Tactic.Widget.SelectPanelUtils.2749655504._hygCtx._hyg.1
Mathlib.Tactic.Widget.SelectPanelUtils
[ "RpcEncodablePacket._sizeOf_1._@.Mathlib.Tactic.Widget.SelectPanelUtils.2749655504._hygCtx._hyg.1", "RpcEncodablePacket._@.Mathlib.Tactic.Widget.SelectPanelUtils.2749655504._hygCtx._hyg.1", "SizeOf.mk", "SizeOf" ]
false
_private.Mathlib.MeasureTheory.Integral.MeanInequalities.0.ENNReal.lintegral_Lp_mul_le_Lq_mul_Lr._simp_1_4
Mathlib.MeasureTheory.Integral.MeanInequalities
[ "False", "eq_false", "instOfNatNat", "Nat", "Zero.toOfNat0", "three_ne_zero", "NeZero", "OfNat.ofNat", "Eq", "OfNat", "Zero" ]
false