name
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module
stringlengths
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2 classes
_private.Lean.Util.Diff.0.Lean.Diff.matchSuffix.go.eq_def
Lean.Util.Diff
[ "_private.Lean.Util.Diff.0.Lean.Diff.matchSuffix._proof_2", "Subarray", "Std.Slice.toArray", "InvImage", "HSub.hSub", "WellFounded.Nat.fix", "WellFounded.Nat.fix_eq", "_private.Lean.Util.Diff.0.Lean.Diff.matchSuffix.go._proof_2", "id", "_private.Lean.Util.Diff.0.Lean.Diff.matchSuffix.go._proof_3",...
true
InformationTheory.klDiv_def
Mathlib.InformationTheory.KullbackLeibler.Basic
[ "Eq.mpr", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "Real", "MeasureTheory.Measure", "InformationTheory.definition._@.Mathlib.InformationTheory.KullbackLeibler.Basic.2839050664._hygCtx._hyg.8", "ENNReal.ofReal", "Real.instRCLike", "congrArg", "Real.instSub", "Set....
true
Std.DTreeMap.Equiv.of_forall_constGet?_eq
Std.Data.DTreeMap.Lemmas
[ "Std.DTreeMap", "Ord.mk", "Ordering", "Std.DTreeMap.Const.get?", "Std.DTreeMap.inner", "Std.TransCmp", "Std.DTreeMap.Internal.Impl.Equiv.of_forall_constGet?_eq", "Std.LawfulEqCmp", "Std.DTreeMap.wf", "Std.DTreeMap.Equiv", "Eq", "Std.DTreeMap.Equiv.mk", "Option" ]
true
IsUnit.isStrictlyPositive
Mathlib.Algebra.Algebra.StrictPositivity
[ "Iff.mpr", "Monoid", "IsUnit", "LE.le", "LE", "IsStrictlyPositive.iff_of_unital", "And", "And.intro", "Zero.toOfNat0", "OfNat.ofNat", "IsStrictlyPositive", "Zero" ]
true
Submodule.sub_mem
Mathlib.Algebra.Module.Submodule.Defs
[ "Submodule", "Submodule.addSubgroupClass", "AddCommGroup.toAddCommMonoid", "HSub.hSub", "AddCommGroup.toAddGroup", "Membership.mem", "AddCommGroup", "sub_mem", "SubNegMonoid.toSub", "instHSub", "AddGroup.toSubNegMonoid", "Submodule.setLike", "Module", "Ring.toSemiring", "Ring", "SetLik...
true
ENNReal.log_lt_zero_iff._simp_1
Mathlib.Analysis.SpecialFunctions.Log.ENNRealLog
[ "ENNReal.log_lt_zero_iff", "Preorder.toLT", "PartialOrder.toPreorder", "EReal", "ENNReal.log", "instZeroEReal", "LT.lt", "ENNReal", "propext", "instPartialOrderEReal", "One.toOfNat1", "ENNReal.instPartialOrder", "Zero.toOfNat0", "ENNReal.instOne", "OfNat.ofNat", "Eq" ]
false
CategoryTheory.IsCofilteredOrEmpty.cone_maps
Mathlib.CategoryTheory.Filtered.Basic
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Exists", "CategoryTheory.IsCofilteredOrEmpty", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "Eq", "CategoryTheory.Category" ]
true
CategoryTheory.Sieve.coverByImage._proof_1
Mathlib.CategoryTheory.Sites.DenseSubsite.Basic
[ "CategoryTheory.Functor", "CategoryTheory.Presieve.CoverByImageStructure", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Nonempty.intro", "CategoryTheory.Sieve.coverByImage._proof_3", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Presiev...
false
_private.Init.WFExtrinsicFix.0.WellFounded.partialExtrinsicFix₂._proof_1
Init.WFExtrinsicFix
[ "Subtype", "Relation.TransGen", "PSigma.mk", "Nonempty", "Or", "Subtype.val", "PSigma", "Eq" ]
false
Lean.Elab.Term.ToDepElimPattern.normalize
Lean.Elab.Match
[ "Inhabited.default", "Lean.Elab.Term.ToDepElimPattern.Context", "instInhabitedOfMonad", "Lean.Elab.Term.instMonadTermElabM", "Lean.Elab.Term.ToDepElimPattern.M", "Lean.Expr", "IO.RealWorld", "StateRefT'", "StateRefT'.instMonad", "Lean.Elab.Term.TermElabM", "Inhabited", "instInhabitedReaderT", ...
true
_private.Mathlib.GroupTheory.ArchimedeanDensely.0.LinearOrderedAddCommGroup.discrete_iff_not_denselyOrdered._simp_1_1
Mathlib.GroupTheory.ArchimedeanDensely
[ "IsEmpty", "not_nonempty_iff", "propext", "Nonempty", "Eq", "Not" ]
false
Ordinal.IsNormal.bsup_eq
Mathlib.SetTheory.Ordinal.Family
[ "Eq.mpr", "Ordinal.instLinearOrder", "Order.IsSuccLimit.ne_bot", "Preorder.toLT", "Ordinal.partialOrder", "congrArg", "Ordinal.instOrderBot", "PartialOrder.toPreorder", "Ordinal.bsup", "Order.IsSuccLimit", "id", "Ordinal.instSuccOrder", "Order.IsSuccLimit.succ_lt", "Ordinal.IsNormal.bsup",...
true
AddAction.IsBlock.eq_1
Mathlib.GroupTheory.GroupAction.Blocks
[ "ChainCompletePartialOrder.instOfCompleteLattice", "CompleteBooleanAlgebra.toCompleteDistribLattice", "Disjoint", "Set.vaddSet", "VAdd", "Ne", "ChainCompletePartialOrder.toPartialOrder", "HVAdd.hVAdd", "instHVAdd", "CompleteDistribLattice.toFrame", "CompleteBooleanAlgebra.toCompleteLattice", "...
true
PiToModule.fromMatrix
Mathlib.LinearAlgebra.Matrix.Charpoly.LinearMap
[ "Pi.Function.module", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "instSMulOfMul", "Pi.addCommMonoid", "CommRing.toNonUnitalCommRing", "Matrix.module", "AlgEquiv.symm", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Matrix", "Module.End.inst...
true
CategoryTheory.NonPreadditiveAbelian.epi_r
Mathlib.CategoryTheory.Abelian.NonPreadditive
[ "CategoryTheory.NormalMonoCategory.epi_of_zero_cancel", "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.Limits.CokernelCofork.IsColimit.desc'", "CategoryTheory.Limits.KernelFork.ofι", "CategoryTheory.Epi", "CategoryTheory.CategoryS...
true
CochainComplex.HomComplex.Cocycle.leftUnshift
Mathlib.Algebra.Homology.HomotopyCategory.HomComplexShift
[ "HomologicalComplex.instCategory", "CochainComplex.HomComplex.Cocycle.leftUnshift._proof_1", "CochainComplex.HomComplex.instAddCommGroupCochain", "AddGroupWithOne.toAddMonoidWithOne", "AddRightCancelSemigroup.toAddSemigroup", "CochainComplex.instHasShiftInt", "AddCancelMonoid.toAddRightCancelMonoid", ...
true
CategoryTheory.Adjunction.unit_rightAdjointUniq_hom_app
Mathlib.CategoryTheory.Adjunction.Unique
[ "Eq.mpr", "CategoryTheory.Functor", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.conjugateEquiv_apply_app", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Adjunction.unit", "CategoryTheory.Functor.id...
true
Std.Iterators.Types.Zip.instProductive
Std.Data.Iterators.Combinators.Monadic.Zip
[ "Std.Iterators.Types.Zip.instProductivenessRelation", "Std.Iterator", "Std.Iterators.Productive", "Std.Iterators.Types.Zip.instIterator", "Std.Iterators.Productive.of_productivenessRelation", "Std.Iterators.Types.Zip", "Prod", "Monad" ]
true
Lean.Meta.Grind.Arith.Cutsat.SymbolicIntInterval.ctorElim
Lean.Meta.Tactic.Grind.Arith.Cutsat.ToIntInfo
[ "Lean.Meta.Grind.Arith.Cutsat.SymbolicIntInterval.ctorElimType", "Lean.Meta.Grind.Arith.Cutsat.SymbolicIntInterval", "Lean.Meta.Grind.Arith.Cutsat.SymbolicIntInterval.ci", "Nat", "Lean.Meta.Grind.Arith.Cutsat.SymbolicBound", "Lean.Meta.Grind.Arith.Cutsat.SymbolicIntInterval.co", "Lean.Meta.Grind.Arith.C...
false
Lean.Parser.Term.matchAltsWhereDecls._regBuiltin.Lean.Parser.Term.matchAltsWhereDecls.formatter_3
Lean.Parser.Term
[ "Lean.PrettyPrinter.Formatter", "Lean.Name.mkStr5", "Lean.Parser.Term.matchAltsWhereDecls.formatter", "IO", "Unit", "Lean.PrettyPrinter.formatterAttribute", "Lean.Name.mkStr4", "Lean.KeyedDeclsAttribute.addBuiltin" ]
false
Finset.le_prod_of_submultiplicative_of_nonneg
Mathlib.Algebra.Order.BigOperators.Ring.Finset
[ "CommMonoidWithZero.toCommMonoid", "NonAssocSemiring.toAddCommMonoidWithOne", "MulOne.toOne", "IsOrderedRing.toPosMulMono", "HMul.hMul", "Multiset.map", "Monoid.toMulOneClass", "IsOrderedRing", "instReflLe", "congrArg", "CommSemiring.toSemiring", "Finset", "Multiset.prod", "PartialOrder.to...
true
_private.Std.Do.Triple.SpecLemmas.0.List.forIn'_cons.match_1.eq_2
Std.Do.Triple.SpecLemmas
[ "ForInStep.done", "ForInStep", "List.forIn'_cons.match_1", "Eq.refl", "Eq", "ForInStep.yield" ]
true
Std.DHashMap.Internal.Raw.fold_cons
Std.Data.DHashMap.Internal.WF
[ "congrArg", "List.map", "Std.DHashMap.Raw", "id", "Std.DHashMap.Raw.fold", "Sigma.fst", "Std.DHashMap.Internal.Raw.fold_cons_apply", "List.cons", "instHAppendOfAppend", "List.map_id_fun'", "List", "congrFun", "List.map_reverse", "Std.DHashMap.Raw.buckets", "True", "eq_self", "Std.DHa...
true
Fin.div._proof_1
Init.Data.Fin.Basic
[ "instHDiv", "Nat.lt_of_le_of_lt", "HDiv.hDiv", "Nat.div_le_self", "Nat", "LT.lt", "Nat.instDiv", "instLTNat" ]
false
instSubsingletonLieAlgebraRat
Mathlib.Algebra.Lie.Basic
[ "LieAlgebra.toModule", "LieRing.toAddCommGroup", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Function.Injective.subsingleton", "Rat", "subsingleton_rat_module", "LieAlgebra.toModule_injective", "LieRing", "CommRing.toCommSemiring", "Subsingleton", "LieAlgebra", "Module", "R...
true
Matrix.IsSymm.sub._simp_1
Mathlib.LinearAlgebra.Matrix.Symmetric
[ "Matrix", "HSub.hSub", "instHSub", "Matrix.sub", "True", "Matrix.IsSymm", "eq_true", "Matrix.IsSymm.sub", "Eq", "Sub" ]
false
Lean.Firefox.Thread.processType
Lean.Util.Profiler
[ "String", "Lean.Firefox.Thread" ]
true
_private.Mathlib.GroupTheory.DivisibleHull.0.DivisibleHull.archimedeanClassOrderHom.eq_1
Mathlib.GroupTheory.DivisibleHull
[ "DivisibleHull.coeOrderAddMonoidHom._proof_2", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "DivisibleHull.instLinearOrder", "LinearOrder", "ArchimedeanClass.orderHom", "ArchimedeanClass.instLinearOrder", "OreLocalization.instAddCommGroup", "PartialOrder.toPreorder", "DivisibleHull",...
true
Lean.Doc.instOrdBlock.ord
Lean.DocString.Types
[ "Inhabited.default", "instInhabitedOrdering", "Ord", "Lean.Doc.Block", "Ordering" ]
true
BitVec.instCommutativeHXor
Init.Data.BitVec.Lemmas
[ "Std.Commutative", "BitVec.instXorOp", "BitVec", "BitVec.xor_comm", "Nat", "HXor.hXor", "Std.Commutative.mk", "instHXorOfXorOp" ]
true
_private.Std.Data.DHashMap.Raw.0.Std.DHashMap.Raw.containsThenInsert.eq_1
Std.Data.DHashMap.Raw
[ "Std.DHashMap.Raw", "Std.DHashMap.Internal.Raw₀.containsThenInsert", "Prod.mk", "instOfNatNat", "Std.DHashMap.Raw.containsThenInsert", "dite", "Subtype.mk", "_private.Std.Data.DHashMap.Raw.0.Std.DHashMap.Raw.containsThenInsert.match_1", "Nat", "Std.DHashMap.Raw.buckets", "LT.lt", "Bool", "Na...
true
DomAddAct.instNonUnitalSemiringOfAddOpposite
Mathlib.GroupTheory.GroupAction.DomAct.Basic
[ "AddOpposite", "DomAddAct", "NonUnitalSemiring" ]
true
_private.Init.Data.Option.Lemmas.0.Option.get_eq_get!.match_1_1
Init.Data.Option.Lemmas
[ "False", "HEq.refl", "False.elim", "Option.casesOn", "noConfusion_of_Nat", "Option.some", "Eq.casesOn", "Bool.ctorIdx", "Bool.true", "Option.none", "Bool", "Eq.refl", "HEq", "Option.isSome", "Bool.false", "Eq", "Option" ]
false
Lean.Firefox.ResourceTable.mk.injEq
Lean.Util.Profiler
[ "Lean.Json", "Eq.propIntro", "Lean.Firefox.ResourceTable.mk.inj", "Lean.injEq_helper", "Lean.Firefox.ResourceTable.mk", "Array", "And", "Nat", "Lean.Firefox.ResourceTable", "Eq.ndrec", "Eq.refl", "Eq" ]
true
Std.DHashMap.contains_emptyWithCapacity
Std.Data.DHashMap.Lemmas
[ "Std.DHashMap.Internal.Raw₀.contains_emptyWithCapacity", "Std.DHashMap.contains", "Nat", "Bool", "Hashable", "Std.DHashMap.emptyWithCapacity", "Bool.false", "BEq", "Eq" ]
true
CategoryTheory.StrongEpi.recOn
Mathlib.CategoryTheory.Limits.Shapes.StrongEpi
[ "CategoryTheory.HasLiftingProperty", "CategoryTheory.Epi", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.StrongEpi.mk", "CategoryTheory.StrongEpi.rec", "CategoryTheory.StrongEpi", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Category"...
false
Set.nonempty_uIcc._simp_1
Mathlib.Order.Interval.Set.UnorderedInterval
[ "Lattice", "Set.Nonempty", "True", "eq_true", "Set.nonempty_uIcc", "Eq", "Set.uIcc" ]
false
OpenPartialHomeomorph.IsImage.restr._proof_2
Mathlib.Topology.OpenPartialHomeomorph.IsImage
[ "Set.inter_subset_left", "OpenPartialHomeomorph.toFun'", "OpenPartialHomeomorph.IsImage", "TopologicalSpace", "OpenPartialHomeomorph.continuousOn", "OpenPartialHomeomorph.IsImage.toPartialEquiv", "PartialEquiv.source", "ContinuousOn.mono", "ContinuousOn", "OpenPartialHomeomorph.toPartialEquiv", ...
false
_private.Mathlib.Algebra.Module.Submodule.Lattice.0.Submodule.instOrderBot._simp_1
Mathlib.Algebra.Module.Submodule.Lattice
[ "SetLike", "outParam", "Membership.mem", "ZeroMemClass", "True", "eq_true", "Zero.toOfNat0", "ZeroMemClass.zero_mem", "OfNat.ofNat", "Eq", "SetLike.instMembership", "Zero" ]
false
StarOrderedRing.toIsOrderedRing
Mathlib.Algebra.Order.Ring.Star
[ "IsOrderedModule.toPosSMulMono", "smul_le_smul_of_nonneg_right", "Semiring.toModule", "instSMulOfMul", "IsOrderedRing", "CommSemiring.toNonUnitalCommSemiring", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsOrderedModule.toSMulPosMono", "AddMonoid.toAddZeroClass", "PartialOrder....
true
Std.DHashMap.Raw.Const.mem_ofList._simp_1
Std.Data.DHashMap.RawLemmas
[ "Std.DHashMap.Raw.instMembershipOfBEqOfHashable", "Std.DHashMap.Raw.Const.ofList", "List.map", "List.contains", "Std.DHashMap.Raw", "Membership.mem", "LawfulHashable", "Prod.fst", "Bool.true", "List", "EquivBEq", "Std.DHashMap.Raw.Const.mem_ofList", "propext", "Bool", "Hashable", "Prod...
false
CommAlgCat.isoEquivAlgEquiv._proof_2
Mathlib.Algebra.Category.CommAlgCat.Basic
[ "CommAlgCat.algEquivOfIso", "CommRing", "CommAlgCat.of", "CommSemiring.toSemiring", "Algebra", "CategoryTheory.Iso", "CommAlgCat.instCategory", "CommRing.toCommSemiring", "AlgEquiv", "Function.RightInverse", "CommAlgCat", "Eq.refl", "CommAlgCat.isoMk" ]
false
Lean.Meta.MatcherApp.ctorIdx
Lean.Meta.Match.MatcherApp.Basic
[ "Lean.Meta.MatcherApp", "Nat" ]
false
ssubset_of_subset_of_ne
Mathlib.Order.RelClasses
[ "HasSSubset", "Std.Antisymm", "HasSSubset.SSubset", "mt", "HasSubset.Subset.ssubset_of_not_subset", "HasSubset.Subset", "Ne", "HasSubset.Subset.antisymm", "HasSubset", "Eq", "IsNonstrictStrictOrder" ]
true
_private.Mathlib.CategoryTheory.Sites.Hypercover.Subcanonical.0.CategoryTheory.Precoverage.ZeroHypercover.isPullback_of_forall_isPullback._simp_1_2
Mathlib.CategoryTheory.Sites.Hypercover.Subcanonical
[ "CategoryTheory.IsIso", "CategoryTheory.MorphismProperty.isomorphisms.iff", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MorphismProperty.isomorphisms", "propext", "CategoryTheory.Category.toCategoryStruct", "Eq", "CategoryTheory.Category" ]
false
NNRealRMK.rieszMeasure_integralLinearMap
Mathlib.MeasureTheory.Integral.RieszMarkovKakutani.NNReal
[ "NNReal.instTopologicalSpace", "Real.instLE", "MeasureTheory.Measure.ext_of_integral_eq_on_compactlySupported_nnreal", "Real", "MeasureTheory.Measure", "Semiring.toModule", "Real.instZero", "congrArg", "CompactlySupportedContinuousMap", "SeparatelyContinuousMul.to_continuousSMul", "CompactlySupp...
true
UInt16.reduceSub
Lean.Meta.Tactic.Simp.BuiltinSimprocs.UInt
[ "HSub.hSub", "instOfNatNat", "UInt16", "instHSub", "Nat", "Lean.Meta.Simp.DSimproc", "Lean.Name.mkStr2", "instSubUInt16", "OfNat.ofNat", "UInt16.reduceBin._@.Lean.Meta.Tactic.Simp.BuiltinSimprocs.UInt.1661162788._hygCtx._hyg.3" ]
true
_private.Mathlib.Data.Set.Equitable.0.Finset.equitableOn_iff._simp_1_2
Mathlib.Data.Set.Equitable
[ "instOfNatNat", "LE.le", "instLENat", "instHAdd", "And", "HAdd.hAdd", "Nat", "propext", "instAddNat", "Nat.le_and_le_add_one_iff", "Or", "OfNat.ofNat", "Eq" ]
false
ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff'
Mathlib.Analysis.Calculus.FDeriv.Equiv
[ "ContinuousLinearMap.comp", "Eq.mpr", "ContinuousLinearEquiv.symm", "ContinuousLinearEquiv.coe_comp_coe_symm", "NormedSpace", "congrArg", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "Iff.rfl", "PseudoMetricSpace.toUniformSpace", "Function.comp", "HasFDerivWithinAt", "NormedField....
true
Finset.prod_inv_distrib
Mathlib.Algebra.BigOperators.Group.Finset.Defs
[ "DivisionCommMonoid.toDivisionMonoid", "DivInvOneMonoid.toInvOneClass", "Finset", "DivisionCommMonoid", "DivisionMonoid.toDivInvOneMonoid", "DivisionCommMonoid.toCommMonoid", "Finset.val", "Finset.prod", "Inv.inv", "InvOneClass.toInv", "Eq", "Multiset.prod_map_inv" ]
true
Lean.Lsp.instFromJsonResolvableCompletionItem.fromJson
Lean.Data.Lsp.LanguageFeatures
[ "Pure.pure", "Lean.Json", "Lean.instFromJsonString", "Monad.toApplicative", "String", "Lean.Lsp.CompletionItemTag", "Lean.instFromJsonOption", "Lean.Name.mkStr3", "Lean.Json.getObjValAs?", "Lean.Lsp.instFromJsonResolvableCompletionItemData", "Lean.Lsp.MarkupContent", "Lean.instFromJsonArray", ...
true
ENNReal.inv_eq_top
Mathlib.Data.ENNReal.Inv
[ "Eq.rec", "ENNReal.inv_zero", "Iff", "inv_inj", "Inv.inv", "ENNReal.instInvolutiveInv", "ENNReal", "Zero.toOfNat0", "ENNReal.instInv", "ENNReal.instTop", "ENNReal.instZero", "Top.top", "OfNat.ofNat", "Eq" ]
true
_private.Mathlib.NumberTheory.FLT.Four.0.Fermat42.mul._proof_1_1
Mathlib.NumberTheory.FLT.Four
[ "instPowNat", "Lean.RArray.leaf", "False", "Int.instIsStrictOrderedRing", "Lean.Grind.CommRing.Mon.mult", "Lean.Grind.not_not", "Lean.Grind.CommRing.Poly", "Lean.Grind.CommRing.Expr", "HMul.hMul", "Lean.Grind.CommRing.Expr.mul", "Lean.Grind.not_and", "eq_false", "Lean.Grind.iff_eq", "Lean....
false
Module.Finite.iff_cofg_bot
Mathlib.RingTheory.Finiteness.Cofinite
[ "Submodule", "Submodule.Quotient.addCommMonoid", "AddCommGroup.toAddCommMonoid", "Submodule.hasQuotient", "AddCommGroup", "Submodule.quotEquivOfEqBot", "Bot.bot", "Submodule.Quotient.module", "Submodule.instBot", "HasQuotient.Quotient", "Submodule.CoFG", "Iff", "Submodule.CoFG.of_finite", ...
true
_private.Lean.Meta.Tactic.Grind.Arith.Cutsat.Proof.0.Lean.Meta.Grind.Arith.Cutsat.mkRingContext.match_1
Lean.Meta.Tactic.Grind.Arith.Cutsat.Proof
[ "Option.ctorIdx", "Option.some", "Nat.hasNotBit", "Nat", "_private.Lean.Meta.Tactic.Grind.Arith.Cutsat.Proof.0.Lean.Meta.Grind.Arith.Cutsat.getVarOf._sparseCasesOn_1", "Option" ]
false
Int64.ofNat_int8ToNatClampNeg
Init.Data.SInt.Lemmas
[ "instPowNat", "Eq.mpr", "of_decide_eq_true", "Int64.toInt", "congrArg", "Int8.toInt_toInt64", "Int8.toInt64", "Int8", "Int8.toInt", "id", "Int64", "instOfNatNat", "Int", "LE.le", "instLENat", "Nat.cast", "instNatPowNat", "Bool.true", "HPow.hPow", "Int8.toNatClampNeg", "Nat", ...
true
CategoryTheory.ShortComplex.exact_iff_epi_imageToKernel
Mathlib.CategoryTheory.Abelian.Exact
[ "CategoryTheory.Abelian.toPreadditive", "Eq.mpr", "CategoryTheory.Limits.HasImages.has_image", "CategoryTheory.Subobject.underlying", "imageToKernel'_kernelSubobjectIso", "CategoryTheory.Epi", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Limits.imageSubobject...
true
FirstOrder.Language.Substructure.map_iInf_comap_of_surjective
Mathlib.ModelTheory.Substructures
[ "iInf", "FirstOrder.Language.Substructure.instInfSet", "FirstOrder.Language.Hom", "GaloisInsertion.l_iInf_u", "FirstOrder.Language.Substructure", "FirstOrder.Language.Structure", "FirstOrder.Language.Substructure.giMapComap", "FirstOrder.Language", "FirstOrder.Language.Substructure.instCompleteLatti...
true
CategoryTheory.Functor.OplaxMonoidal.recOn
Mathlib.CategoryTheory.Monoidal.Functor
[ "CategoryTheory.Functor", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategoryStruct.rightUnitor", "CategoryTheory.MonoidalCategory", "CategoryTheory.MonoidalCategoryStruct.leftUnitor", "CategoryTheory.Functor.map...
false
_private.Mathlib.Probability.ProductMeasure.0.MeasureTheory.partialTraj_const_restrict₂._proof_1_1
Mathlib.Probability.ProductMeasure
[ "Finset.Ioc_subset_Iic_self", "Finset", "Nat.instLocallyFiniteOrder", "LocallyFiniteOrder.toLocallyFiniteOrderBot", "HasSubset.Subset", "Nat.instPreorder", "Nat", "Finset.instHasSubset", "Finset.Iic", "Nat.instOrderBot", "Finset.Ioc" ]
false
String.Legacy.Iterator.ValidFor.prevn
Batteries.Data.String.Lemmas
[ "List.brecOn", "String.Legacy.Iterator.ValidFor.prevn._f", "LE.le", "instLENat", "instHAppendOfAppend", "List", "List.drop", "Nat", "List.reverse", "String.Legacy.Iterator", "Char", "String.Legacy.Iterator.ValidFor", "List.instAppend", "List.take", "List.length", "HAppend.hAppend", "...
true
not_isOfFinAddOrder_of_isAddTorsionFree
Mathlib.GroupTheory.OrderOfElement
[ "Eq.mpr", "False", "instHSMul", "congrArg", "AddMonoid.toAddZeroClass", "AddMonoid.toNSMul", "Exists", "AddZeroClass.toAddZero", "Eq.mp", "nsmul_zero", "id", "Ne", "instOfNatNat", "IsAddTorsionFree", "And.casesOn", "LT.lt.ne'", "IsOfFinAddOrder", "AddZero.toZero", "And", "Exist...
true
Lean.Omega.LinearCombo.smul_eval
Init.Omega.LinearCombo
[ "HMul.hMul", "Lean.Omega.LinearCombo.coeffs", "congrArg", "Lean.Omega.LinearCombo.eval", "Int", "Lean.Omega.LinearCombo", "Int.instMul", "instHAdd", "HAdd.hAdd", "Lean.Omega.Coeffs", "Lean.Omega.LinearCombo.mk", "Lean.Omega.LinearCombo.instHMulInt", "congr", "True", "eq_self", "of_eq_t...
true
Lean.Lsp.CreateFile.instFromJsonOptions
Lean.Data.Lsp.Basic
[ "Lean.Lsp.CreateFile.instFromJsonOptions.fromJson", "Lean.FromJson", "Lean.Lsp.CreateFile.Options", "Lean.FromJson.mk" ]
true
codisjoint_inf_left._simp_1
Mathlib.Order.Disjoint
[ "Codisjoint", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "SemilatticeInf.toMin", "OrderTop", "DistribLattice", "And", "propext", "codisjoint_inf_left", "Eq", "Min.min", "Lattice.toSemilatticeInf" ]
false
instChartedSpaceEuclideanSpaceRealFinElemHAddNatOfNatSphere
Mathlib.Geometry.Manifold.Instances.Sphere
[ "NormedCommRing.toNormedRing", "Pi.Function.module", "Real", "Semiring.toModule", "fact_one_le_two_ennreal", "NormedRing.toRing", "Real.instRCLike", "AddCommGroup.toAddCommMonoid", "PseudoMetricSpace.toUniformSpace", "PiLp.instPseudoMetricSpace", "WithLp.instAddCommGroup", "Membership.mem", ...
true
AddSubgroup.leftTransversals.diff.eq_1
Mathlib.GroupTheory.Transfer
[ "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "AddSubgroup.fintypeQuotientOfFiniteIndex", "AddSubgroup.FiniteIndex", "Equiv.instEquivLike", "AddSubgroup.leftTransversals.diff._proof_1", "Finset.univ", "AddSubgroup.leftTransversals.diff._proof_2", "AddCommGroup.toAddCommMonoid", "AddMonoid....
true
VectorBundleCore.toTopologicalSpace._proof_2
Mathlib.Topology.VectorBundle.Basic
[ "NormedSpace", "TopologicalSpace.GenerateOpen.inter", "FiberBundleCore.Fiber", "PseudoMetricSpace.toUniformSpace", "instTopologicalSpaceProd", "Set.instSingletonSet", "FiberBundleCore.TotalSpace", "Set.instInter", "VectorBundleCore.toFiberBundleCore", "Inter.inter", "TopologicalSpace", "Vector...
false
_private.Init.Data.Nat.Fold.0.Nat.all.eq_def
Init.Data.Nat.Fold
[ "Eq.mpr", "_private.Init.Data.Nat.Fold.0.Nat.fold._proof_4", "Nat.all._f", "congrArg", "HEq.refl", "Nat.brecOn.go", "Nat.rec", "Nat.brecOn", "Nat.brecOn.eq", "id", "Bool.and", "_private.Init.Data.Nat.Fold.0.Nat.any.match_1", "instOfNatNat", "Nat.all", "_private.Init.Data.Nat.Fold.0.Nat.f...
true
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.min?_keys._simp_1_3
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "Membership.mem", "Bool.true", "Std.DTreeMap.Internal.Impl.contains", "propext", "Bool", "Std.DTreeMap.Internal.Impl.mem_iff_contains", "Eq", "Std.DTreeMap.Internal.Impl", "Std.DTreeMap.Internal.Impl.instMembershipOfOrd" ]
false
Lean.Widget.GetWidgetSourceParams.mk.noConfusion
Lean.Widget.UserWidget
[ "UInt64", "id", "Lean.Lsp.Position", "Eq", "Lean.Widget.GetWidgetSourceParams", "Lean.Widget.GetWidgetSourceParams.mk", "Lean.Widget.GetWidgetSourceParams.noConfusion" ]
false
Lean.Grind.CommRing.instBEqExpr.beq._sparseCasesOn_9
Init.Grind.Ring.CommSolver
[ "Lean.Grind.CommRing.Expr", "Lean.Grind.CommRing.Expr.mul", "Nat.ne_of_beq_eq_false", "Lean.Grind.CommRing.Expr.var", "Nat.shiftRight", "Lean.Grind.CommRing.Expr.sub", "Lean.Grind.CommRing.Expr.ctorIdx", "Lean.Grind.CommRing.Expr.natCast", "Lean.Grind.CommRing.Expr.neg", "Nat.hasNotBit", "instOf...
false
ZSpan.vadd_mem_fundamentalDomain
Mathlib.Algebra.Module.ZLattice.Basic
[ "NormedCommRing.toNormedRing", "AddGroup.toSubtractionMonoid", "Eq.mpr", "Submodule.vadd_def", "NegZeroClass.toNeg", "Submodule", "Submodule.addSubgroupClass", "NormedRing.toRing", "AddLeftCancelSemigroup.toIsLeftCancelAdd", "NormedSpace", "instVAddOfAdd", "congrArg", "AddCommGroup.toAddComm...
true
Array.zipIdx_eq_map_add
Init.Data.Array.Range
[ "Eq.mpr", "Array.zipIdx_toArray", "congrArg", "List.map", "List.map_toArray", "Array.map", "Array.casesOn", "id", "Prod.mk", "instOfNatNat", "Prod.fst", "List.toArray", "Array.zipIdx", "Array", "List", "instHAdd", "Array.mk.injEq", "List.zipIdx_eq_map_add", "HAdd.hAdd", "Nat", ...
true
Mathlib.Tactic.BicategoryLike.MonadNormalizeNaturality.mk
Mathlib.Tactic.CategoryTheory.Coherence.PureCoherence
[ "Mathlib.Tactic.BicategoryLike.MonadNormalizeNaturality", "Mathlib.Tactic.BicategoryLike.NormalizedHom", "Mathlib.Tactic.BicategoryLike.Mor₂Iso", "Lean.Expr", "Mathlib.Tactic.BicategoryLike.Mor₁", "Mathlib.Tactic.BicategoryLike.MonadNormalizeNaturality.mk" ]
true
_private.Lean.Meta.Check.0.Lean.Meta.throwLetTypeMismatchMessage._sparseCasesOn_1
Lean.Meta.Check
[ "Lean.LocalDecl.cdecl", "Lean.LocalDecl.ldecl", "Nat.ne_of_beq_eq_false", "Nat.shiftRight", "Lean.LocalDeclKind", "Lean.Expr", "Lean.FVarId", "Nat.hasNotBit", "instOfNatNat", "Lean.LocalDecl.ctorIdx", "Nat.land", "Nat", "Lean.LocalDecl.rec", "Bool", "Lean.Name", "Eq.refl", "Lean.Loca...
false
CategoryTheory.regularOfIsPullbackFstOfRegular._proof_1
Mathlib.CategoryTheory.Limits.Shapes.RegularMono
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "Eq.symm", "Eq", "CategoryTheory.Category" ]
false
_private.Mathlib.Analysis.Calculus.ContDiff.Defs.0.contDiffWithinAt_nat.match_1_1
Mathlib.Analysis.Calculus.ContDiff.Defs
[ "Filter.instMembership", "NormedCommRing.toSeminormedCommRing", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "NormedSpace", "ENat.instNatCast", "FormalMultilinearSeries", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "nhdsWithin", "Norme...
false
List.findFinIdx?_singleton._proof_1
Init.Data.List.Find
[ "congrArg", "instOfNatNat", "Nat.lt_add_one._simp_1", "List.cons", "Nat", "LT.lt", "True", "of_eq_true", "instLTNat", "Nat.zero_add", "OfNat.ofNat", "List.length", "Eq.trans", "List.nil" ]
false
BitVec.ofBool_xor_ofBool
Init.Data.BitVec.Lemmas
[ "BitVec.instXorOp", "BitVec", "instOfNatNat", "Bool.true", "Bool.casesOn", "Bool.xor", "Nat", "HXor.hXor", "Bool", "Eq.ndrec", "Eq.refl", "OfNat.ofNat", "Eq.symm", "Bool.false", "Eq", "instHXorOfXorOp", "BitVec.ofBool" ]
true
_private.Mathlib.Algebra.Module.Submodule.Map.0.LinearMap.iInf_invariant._simp_1_1
Mathlib.Algebra.Module.Submodule.Map
[ "Submodule", "iInf", "Submodule.mem_iInf", "Membership.mem", "AddCommMonoid", "Submodule.setLike", "propext", "Semiring", "Module", "Eq", "SetLike.instMembership", "Submodule.instInfSet" ]
false
Algebra.Extension.Cotangent.map._proof_2
Mathlib.RingTheory.Extension.Basic
[ "Eq.mpr", "Submodule", "CommRing", "instHSMul", "Algebra.Extension.commRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "AlgHom.algHomClass", "Algebra.Extension.Hom.toRingHom", "HMul.hMul", "Algebra.Extension.instModuleCotangent", "IsScalarTower.right", "CommRing....
false
_private.Init.Data.Array.BinSearch.0.Array.binInsertAux._unsafe_rec
Init.Data.Array.BinSearch
[ "Pure.pure", "Unit.unit", "_private.Init.Data.Array.BinSearch.0.Array.binInsertAux._proof_6", "False", "Array.insertIdx", "instHDiv", "_private.Init.Data.Array.BinSearch.0.Array.binInsertAux._proof_3", "congrArg", "Monad.toApplicative", "Std.IsLinearPreorder.toIsPreorder", "False.elim", "_priv...
false
LinearMap.trace_transpose
Mathlib.LinearAlgebra.Trace
[ "dualTensorHomEquiv", "LinearMap.trace", "CommRing", "Algebra.to_smulCommClass", "Semiring.toModule", "IsScalarTower.right", "LinearMap.ext", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "TensorProduct.addCommMonoid", "LinearMap.add...
true
AlgebraicGeometry.Scheme.Opens.toSpecΓ_preimage_basicOpen
Mathlib.AlgebraicGeometry.AffineScheme
[ "AlgebraicGeometry.Scheme.Hom.opensFunctor", "Eq.mpr", "AlgebraicGeometry.Spec", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "Lattice.toSemilatticeSup", "Opposite", "CommRingCat.carrier", "Quiver.opposite", "AlgebraicGeometry.PresheafedSpace.car...
true
Turing.TM2to1.StAct
Mathlib.Computability.TuringMachine.StackTuringMachine
[ "Turing.TM2to1.StAct.pop", "Turing.TM2to1.StAct.peek", "Turing.TM2to1.StAct.push" ]
true
_private.Mathlib.Probability.UniformOn.0.ProbabilityTheory.uniformOn_univ._simp_1_2
Mathlib.Probability.UniformOn
[ "instHDiv", "HMul.hMul", "CommSemiring.toSemiring", "HDiv.hDiv", "ENNReal.instCommSemiring", "instDistribOfSemiring", "Inv.inv", "Distrib.toMul", "ENNReal", "ENNReal.instDivInvMonoid", "DivInvMonoid.toDiv", "ENNReal.instInv", "Eq.symm", "Eq", "ENNReal.div_eq_inv_mul", "instHMul" ]
false
Finset.exists_notMem
Mathlib.Data.Set.Finite.Basic
[ "Finset", "Membership.mem", "Exists", "Set.Finite.exists_notMem", "SetLike.coe", "Finset.instSetLike", "Finset.finite_toSet", "Infinite", "Not", "SetLike.instMembership" ]
true
le_or_lt_of_add_le_add
Mathlib.Algebra.Order.Monoid.Unbundled.MinMax
[ "not_le", "Eq.mpr", "Preorder.toLT", "congrArg", "LinearOrder", "PartialOrder.toPreorder", "AddRightStrictMono", "AddLeftMono", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "id", "LE.le", "not_or", "Mathlib.Tactic.Contrapose.contrapose₁", "instHAdd", ...
true
AddSubsemigroup.map_surjective_of_surjective
Mathlib.Algebra.Group.Subsemigroup.Operations
[ "AddSubsemigroup.giMapComap", "AddHom", "PartialOrder.toPreorder", "AddSubsemigroup.comap", "AddHom.funLike", "AddSubsemigroup.instPartialOrder", "AddSubsemigroup", "GaloisInsertion.l_surjective", "DFunLike.coe", "Function.Surjective", "Add", "AddSubsemigroup.map" ]
true
FirstOrder.Field.eqZero
Mathlib.ModelTheory.Algebra.Field.CharP
[ "FirstOrder.Language.ring", "FreeCommRing", "AddGroupWithOne.toAddMonoidWithOne", "instCommRingFreeCommRing", "FirstOrder.Language.Term", "FirstOrder.Language.Term.equal", "AddMonoidWithOne.toNatCast", "Nat.cast", "Empty", "FirstOrder.Ring.instZeroTermRing", "Nat", "Zero.toOfNat0", "FirstOrd...
true
add_neg_nonpos_iff_le
Mathlib.Algebra.Order.Group.Unbundled.Basic
[ "AddGroup.toSubtractionMonoid", "Eq.mpr", "NegZeroClass.toNeg", "congrArg", "Iff.rfl", "AddMonoid.toAddZeroClass", "AddRightMono", "AddZeroClass.toAddZero", "id", "SubtractionMonoid.toSubNegZeroMonoid", "LE.le", "SubNegZeroMonoid.toNegZeroClass", "zero_add", "LE", "AddZero.toZero", "in...
true
_private.Mathlib.Analysis.Asymptotics.Defs.0.Asymptotics.IsLittleO.comp_fst._simp_1_1
Mathlib.Analysis.Asymptotics.Defs
[ "Norm.norm", "Real.instLE", "Real", "HMul.hMul", "Real.instZero", "Filter.Eventually", "Real.instLT", "Norm", "LE.le", "Real.instMul", "LT.lt", "propext", "Zero.toOfNat0", "Asymptotics.IsLittleO", "Asymptotics.isLittleO_iff", "OfNat.ofNat", "Eq", "Filter", "instHMul" ]
false
_private.Mathlib.Data.ENat.Basic.0.ENat.top_ne_ofNat.match_1_1
Mathlib.Data.ENat.Basic
[ "False", "ENat.instNatCast", "instTopENat", "Option.ctorIdx", "HEq.refl", "False.elim", "noConfusion_of_Nat", "Option.some", "Eq.casesOn", "Option.none", "Nat", "ENat", "Eq.refl", "HEq", "Top.top", "OfNat.ofNat", "Eq", "instOfNatAtLeastTwo", "Nat.AtLeastTwo", "Option" ]
false
_private.Mathlib.NumberTheory.ArithmeticFunction.LFunction.0.ArithmeticFunction.tendsTo_eulerProduct_of_tendsTo._simp_1_5
Mathlib.NumberTheory.ArithmeticFunction.LFunction
[ "Filter.Eventually", "Membership.mem", "Filter.tendsto_principal", "Filter.Tendsto", "propext", "Filter.principal", "Eq", "Set.instMembership", "Filter", "Set" ]
false
_private.Init.Data.String.Decode.0.ByteArray.utf8DecodeChar?.toBitVec_eq_of_parseFirstByte_eq_twoMore
Init.Data.String.Decode
[ "ByteArray.utf8DecodeChar?.parseFirstByte", "BitVec.setWidth", "BitVec.extractLsb'", "BitVec.instHAppendHAddNat", "BitVec", "ByteArray.utf8DecodeChar?.FirstByte.twoMore", "_private.Init.Data.String.Decode.0.ByteArray.utf8DecodeChar?.parseFirstByte_eq_twoMore_iff_toBitVec", "_private.Init.Data.String.D...
true
lp.coeFn_sub
Mathlib.Analysis.Normed.Lp.lpSpace
[ "HSub.hSub", "instAddCommGroupPreLp", "AddCommGroup.toAddGroup", "Membership.mem", "AddSubgroup.sub", "Subtype", "AddSubgroup", "SubNegMonoid.toSub", "instHSub", "lp", "AddGroup.toSubNegMonoid", "AddSubgroup.instSetLike", "ENNReal", "PreLp", "NormedAddCommGroup.toAddCommGroup", "Pi.ins...
true
_private.Mathlib.Data.List.Chain.0.List.isChain_attachWith._proof_1_20
Mathlib.Data.List.Chain
[ "Lean.Grind.nestedProof", "congrArg", "HEq.refl", "cast", "Membership.mem", "Eq.rec", "List.cons", "List", "List.instMembership", "eq_of_heq", "HEq", "List.mem_cons_self", "Eq", "Lean.Grind.abstractFn", "_private.Mathlib.Data.List.Chain.0.List.isChain_attachWith._proof_1_2" ]
false
bex_def
Mathlib.Logic.Basic
[ "Exists", "_private.Mathlib.Logic.Basic.0.bex_def.match_1_3", "And", "Iff", "_private.Mathlib.Logic.Basic.0.bex_def.match_1_1", "And.intro", "Iff.intro", "Exists.intro" ]
true
Semiring.toGrindSemiring._proof_8
Mathlib.Algebra.Ring.GrindInstances
[ "NonAssocSemiring.toAddCommMonoidWithOne", "instNeZeroNatHAdd_1", "MulOne.toOne", "Monoid.toMulOneClass", "congrArg", "Nat.instAtLeastTwoHAddOfNat", "inferInstance", "Semiring.toGrindSemiring.match_1", "AddMonoidWithOne.toNatCast", "instOfNatNat", "AddCommMonoidWithOne.toAddMonoidWithOne", "po...
false