name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
CategoryTheory.ObjectProperty.nonempty_sup_left
Mathlib.CategoryTheory.ObjectProperty.CompleteLattice
[ "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "Prop.instCompleteLattice", "SemilatticeSup.toMax", "CategoryTheory.ObjectProperty.Nonempty", "CategoryTheory.ObjectProperty.arbitrary", "CategoryTheory.ObjectProperty.nonempty_of_prop", "Pi.instMaxForall_mathlib", "Max.max", "CategoryTheory...
true
CategoryTheory.Limits.MultispanShape._sizeOf_1
Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer
[ "CategoryTheory.Limits.MultispanShape", "instSizeOfDefault", "CategoryTheory.Limits.MultispanShape.rec", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "OfNat.ofNat" ]
false
differentiableOn_intCast
Mathlib.Analysis.Calculus.FDeriv.Const
[ "Int.cast", "AddCommGroup.toAddCommMonoid", "Pi.instIntCast", "IntCast", "NormedField.toField", "AddCommGroup", "differentiableOn_const", "Int", "Field.toSemifield", "TopologicalSpace", "Semifield.toDivisionSemiring", "DifferentiableOn", "DivisionSemiring.toSemiring", "NontriviallyNormedFi...
true
Std.Tactic.BVDecide.LRAT.Internal.Assignment.ctorElim
Std.Tactic.BVDecide.LRAT.Internal.Assignment
[ "Std.Tactic.BVDecide.LRAT.Internal.Assignment.neg", "Std.Tactic.BVDecide.LRAT.Internal.Assignment.ctorIdx", "Std.Tactic.BVDecide.LRAT.Internal.Assignment.unassigned", "Std.Tactic.BVDecide.LRAT.Internal.Assignment.pos", "Nat", "Eq.ndrec", "Std.Tactic.BVDecide.LRAT.Internal.Assignment", "Std.Tactic.BVDe...
false
String.valid_toSubstring
Batteries.Data.String.Lemmas
[ "Substring.Raw.ValidFor.valid", "String", "String.toRawSubstring", "Substring.Raw.Valid", "String.toList", "Char", "String.validFor_toSubstring", "List.nil" ]
true
OrderIso.setIsotypicComponents_apply
Mathlib.RingTheory.SimpleModule.Isotypic
[ "CompleteSublattice.instSupSet", "Submodule", "iSup", "AddCommGroup.toAddCommMonoid", "Submodule.completeLattice", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "AddCommGroup", "Set.Elem", "Subtype", "Submodule.instPartialOrder", "OrderIso.setIsotypicComponents", "LE.le", ...
true
_private.Lean.Elab.MutualInductive.0.Lean.Elab.Command.addAuxRecs.match_1
Lean.Elab.MutualInductive
[ "_private.Lean.Elab.MutualInductive.0.Lean.Elab.Command.withViewTypeRef._sparseCasesOn_1", "Option.ctorIdx", "Option.some", "Nat.hasNotBit", "Lean.ConstantInfo", "Option" ]
false
PSigma.Lex.recOn
Init.WF
[ "PSigma.Lex", "PSigma.Lex.left", "PSigma.Lex.right", "PSigma.Lex.rec", "PSigma.mk", "PSigma" ]
false
finsum_eq_if
Mathlib.Algebra.BigOperators.Finprod
[ "finsum", "AddMonoid.toAddZeroClass", "Decidable", "AddZeroClass.toAddZero", "AddCommMonoid", "AddZero.toZero", "finsum_eq_dif", "Zero.toOfNat0", "AddCommMonoid.toAddMonoid", "OfNat.ofNat", "Eq", "ite" ]
true
_private.Init.Grind.Ring.CommSolver.0.Lean.Grind.CommRing.instBEqPoly.beq.match_1.splitter
Init.Grind.Ring.CommSolver
[ "False", "Lean.Grind.CommRing.Poly", "Lean.Grind.CommRing.Poly.add", "False.elim", "Nat.shiftRight", "noConfusion_of_Nat", "_private.Init.Grind.Ring.CommSolver.0.Lean.Grind.CommRing.instBEqPoly.beq.match_1.splitter._sparseCasesOn_3", "Nat.hasNotBit", "instOfNatNat", "Int", "Bool.true", "Nat.la...
true
_private.Lean.Meta.Tactic.Grind.Attr.0.Lean.Meta.Grind.Extension.addFunCCAttr
Lean.Meta.Tactic.Grind.Attr
[ "Lean.Meta.Grind.Entry.funCC", "Lean.Core.instMonadResolveNameCoreM", "Lean.Core.instMonadEnvCoreM", "Lean.ScopedEnvExtension.add", "Unit", "Lean.Core.CoreM", "Lean.Meta.Grind.Extension", "Lean.Meta.Grind.Entry", "Lean.Meta.Grind.ExtensionState", "Lean.Name", "Lean.Core.instMonadCoreM", "Lean....
true
exists_or_eq_imp
Init.PropLemmas
[ "congrArg", "Exists", "_private.Init.PropLemmas.0.exists_or_eq_imp._simp_1_1", "iff_self", "funext", "And", "Iff", "True", "exists_eq_left._simp_1", "of_eq_true", "_private.Init.PropLemmas.0.exists_or_eq_imp._simp_1_2", "congrFun'", "Or", "Eq", "Eq.trans" ]
true
Nat.recDiagAux_succ_succ
Batteries.Data.Nat.Lemmas
[ "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "instAddNat", "OfNat.ofNat", "Nat.recDiagAux", "Eq", "rfl" ]
true
CategoryTheory.Equivalence.changeFunctor._proof_2
Mathlib.CategoryTheory.Equivalence
[ "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.Equivalence.unitIso", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Equivalence", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.id", "Categ...
false
CategoryTheory.PreZeroHypercover.hom_inv_h₀._proof_1
Mathlib.CategoryTheory.Sites.Hypercover.Zero
[ "congrArg", "CategoryTheory.Iso", "CategoryTheory.PreZeroHypercover.X", "CategoryTheory.PreZeroHypercover.I₀", "CategoryTheory.PreZeroHypercover", "CategoryTheory.PreZeroHypercover.hom_inv_s₀_apply", "True", "eq_self", "CategoryTheory.PreZeroHypercover.instCategory", "of_eq_true", "CategoryTheor...
false
_private.Mathlib.RingTheory.LittleWedderburn.0.LittleWedderburn.InductionHyp.field._proof_11
Mathlib.RingTheory.LittleWedderburn
[ "Fintype.divisionRingOfIsDomain", "Semigroup.toMul", "HMul.hMul", "Subring.instSetLike", "Ring.toNonAssocRing", "_private.Mathlib.RingTheory.LittleWedderburn.0.LittleWedderburn.InductionHyp.field._proof_1", "Membership.mem", "Subtype.fintype", "Subtype", "NNRat", "DivisionRing.toRing", "Divisi...
false
_private.Mathlib.Topology.QuasiSeparated.0.QuasiSeparatedSpace.isCompact_sInter_of_nonempty._proof_1_8
Mathlib.Topology.QuasiSeparated
[ "False", "Lean.Grind.and_eq_of_eq_true_right", "eq_false", "Classical.byContradiction", "Lean.Grind.eq_false_of_imp_eq_true", "setOf", "Membership.mem", "Eq.mp", "id", "Set.mem_setOf_eq", "TopologicalSpace", "And", "True", "eq_true", "Eq.refl", "Lean.Grind.eq_true_of_and_eq_true_right"...
false
_private.Mathlib.CategoryTheory.Limits.Opposites.0.CategoryTheory.Limits.limitOpIsoOpColimit_hom_comp_ι._simp_1_1
Mathlib.CategoryTheory.Limits.Opposites
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Iso", "propext", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Iso.eq_inv_comp", "Eq.symm", "CategoryTheory.Iso.hom", "Eq", "CategoryTheory.Iso.inv", "CategoryTheory.Cate...
false
Lean.Elab.Command.Structure.checkValidFieldModifier
Lean.Elab.Structure
[ "Pure.pure", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "bne", "Lean.Elab.Term.instAddErrorMessageContextTermElabM", "Lean.Elab.Term.instMonadMacroAdapterTermElabM", "Lean.Elab.Term.instMonadTermElabM", "String", "Lean.Elab.Modifiers.isUnsafe", "Lean.Meta.State", "Lean.throwEr...
true
LipschitzWith.compLp
Mathlib.MeasureTheory.Function.LpSpace.Basic
[ "MeasureTheory.Measure", "LipschitzWith", "NormedAddCommGroup.toMetricSpace", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "LipschitzWith.compLp._proof_2", "Membership.mem", "Subtype", "EMetricSpace.toPseudoEMetricSpace", "NNReal", "SubtractionMonoid.toSubNegZeroMonoid", "Sub...
true
FormalMultilinearSeries.leftInv._proof_30
Mathlib.Analysis.Analytic.Inverse
[ "NormedSpace", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "NormedField.toField", "Field.toSemifield", "Field.toCommRing", "smulCommClass_self", "Semifield.toDivisionSemiring", "CommMonoid.toMonoid", "Monoid.toSemigroup", "DivisionSemiring.toSemiring", "NontriviallyNormedField", ...
false
_private.Init.Data.Array.Lemmas.0.Array.range.eq_1
Init.Data.Array.Lemmas
[ "Array.ofFn", "Fin.val", "Array", "Array.range", "Nat", "Eq.refl", "Fin", "Eq" ]
true
List.merge_of_le
Init.Data.List.Sort.Lemmas
[ "List.brecOn", "List.merge", "Membership.mem", "List.merge_of_le._f", "Bool.true", "instHAppendOfAppend", "List", "List.instMembership", "Bool", "List.instAppend", "Eq", "HAppend.hAppend" ]
true
Std.TreeMap.Raw.Equiv.getEntryLT?_eq
Std.Data.TreeMap.Raw.Lemmas
[ "Std.DTreeMap.Raw.Equiv.constGetEntryLT?_eq", "Std.TreeMap.Raw.WF.out", "Std.TreeMap.Raw.Equiv.inner", "Ordering", "Std.TreeMap.Raw.Equiv", "Std.TransCmp", "Std.TreeMap.Raw.WF", "Std.TreeMap.Raw.inner", "Std.TreeMap.Raw", "Prod", "Std.TreeMap.Raw.getEntryLT?", "Eq", "Option" ]
true
CategoryTheory.StrictlyUnitaryLaxFunctorCore.map₂_comp
Mathlib.CategoryTheory.Bicategory.Functor.StrictlyUnitary
[ "CategoryTheory.StrictlyUnitaryLaxFunctorCore.map₂", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Bicategory.toCategoryStruct", "CategoryTheory.StrictlyUnitaryLaxFunctorCore.map", "CategoryTheory.Bicategory", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toC...
true
Lean.Parser.Tactic.quot
Lean.Parser.Term
[ "Lean.Parser.Parser", "HAndThen.hAndThen", "Lean.Parser.leadingNode", "instHAndThenOfAndThen", "instOfNatNat", "Lean.Parser.symbol", "Lean.Parser.withAntiquot", "Bool.true", "Unit", "Nat", "Lean.Parser.withCache", "Lean.Parser.incQuotDepth", "OfNat.ofNat", "Lean.Parser.tacticParser", "Le...
true
String.toInt?_toSlice
Std.Data.String.ToInt
[ "String.toSlice", "String.Slice.toInt?", "String", "String.toInt?", "Int", "Eq", "rfl", "Option" ]
true
ContinuousMultilinearMap.currySumEquiv._proof_10
Mathlib.Analysis.Normed.Module.Multilinear.Curry
[ "NormedSpace", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "NormedField.toField", "Field.toSemifield", "Field.toCommRing", "smulCommClass_self", "Semifield.toDivisionSemiring", "CommMonoid.toMonoid", "SeminormedAddCommGroup.toAddCommGroup", "Monoid.toSemigroup", "DivisionSemiring.t...
false
Std.TreeSet.Raw.toList_roc
Std.Data.TreeSet.Raw.Slice
[ "Pure.pure", "Std.Slice.toList", "Std.TreeMap.Raw.WF.out", "Std.TreeSet.Raw.WF.out", "Monad.toApplicative", "Std.Iterators.Types.Map.instIterator", "MonadLiftT.monadLift", "instMonadLiftT", "Std.DTreeMap.Internal.RxcIterator", "Ord.mk", "Std.DTreeMap.Internal.Impl.WF.ordered", "Ordering", "i...
true
contMDiffOn_zero_iff
Mathlib.Geometry.Manifold.ContMDiff.Defs
[ "Eq.mpr", "extChartAt", "NormedSpace", "congrArg", "CommSemiring.toSemiring", "PartialEquiv.target", "_private.Mathlib.Geometry.Manifold.ContMDiff.Defs.0.contMDiffOn_zero_iff._simp_1_1", "PseudoMetricSpace.toUniformSpace", "ContDiffOn", "Function.comp", "Membership.mem", "PartialEquiv.symm", ...
true
LibraryNote.foundational_algebra_order_theory
Mathlib.Data.Nat.Init
[ "Inhabited.default", "Batteries.Util.instInhabitedLibraryNote", "Batteries.Util.LibraryNote" ]
true
Fintype
Mathlib.Data.Fintype.Defs
[ "Fintype.mk" ]
true
Subalgebra.val._proof_5
Mathlib.Algebra.Algebra.Subalgebra.Basic
[ "Subalgebra.instSetLike", "Algebra.algebraMap", "CommSemiring.toSemiring", "Algebra", "RingHom", "Membership.mem", "Subtype", "CommSemiring", "RingHom.instFunLike", "Subalgebra.algebra", "Semiring", "Subalgebra", "Subtype.val", "Semiring.toNonAssocSemiring", "Eq", "DFunLike.coe", "Se...
false
_private.Lean.PrettyPrinter.Delaborator.TopDownAnalyze.0.Lean.PrettyPrinter.Delaborator.isType2Type._sparseCasesOn_2
Lean.PrettyPrinter.Delaborator.TopDownAnalyze
[ "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
Rat.instNormedField
Mathlib.Analysis.Normed.Field.Lemmas
[ "NormedAddCommGroup.toMetricSpace", "NormedAddCommGroup.dist_eq", "Rat", "NormedField", "Rat.instNormedField._proof_1", "Rat.instField", "NormedAddCommGroup.toNorm", "NormedField.mk", "Rat.instNormedAddCommGroup", "Field", "NormedAddCommGroup" ]
true
SimplexCategory.toTopHomeo_symm_naturality_apply
Mathlib.AlgebraicTopology.SimplicialSet.TopAdj
[ "Real.instIsOrderedRing", "Real.partialOrder", "Real", "SimplexCategory.toTopHomeo_symm_naturality", "Opposite", "SimplexCategory.instFintypeToTypeOrderHomFinHAddNatLenOfNat", "Pi.topologicalSpace", "CategoryTheory.CategoryStruct.toQuiver", "SSet.toTop", "Quiver.Hom", "stdSimplex.map", "Catego...
true
sqrt_one_add_norm_sq_le
Mathlib.Analysis.SpecialFunctions.JapaneseBracket
[ "one_pow", "Real.instIsOrderedRing", "Norm.norm", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "MulOne.toOne", "mul_nonneg_iff_of_pos_left._simp_1", "Real.partialOrder", "Real.instLE", "Real", "Preorder.toLT", "HMul.hMul", "AddLeftCancelSemigroup.toIsLeftCancelAdd", "Nat.ble", "R...
true
instAddUInt32
Init.Data.UInt.BasicAux
[ "Add.mk", "UInt32", "UInt32.add", "Add" ]
true
CategoryTheory.GrothendieckTopology.Point.over
Mathlib.CategoryTheory.Sites.Point.Over
[ "CategoryTheory.Over", "CategoryTheory.LocallySmall", "CategoryTheory.GrothendieckTopology.Point", "CategoryTheory.FunctorToTypes.fromOverFunctor", "CategoryTheory.GrothendieckTopology.Point.mk", "CategoryTheory.instCategoryOver", "CategoryTheory.GrothendieckTopology", "CategoryTheory.GrothendieckTopo...
true
CategoryTheory.GrothendieckTopology.Point.skyscraperSheafAdjunction_homEquiv_apply_val
Mathlib.CategoryTheory.Sites.Point.Skyscraper
[ "CategoryTheory.Functor", "Opposite", "Equiv.instEquivLike", "CategoryTheory.GrothendieckTopology.Point.skyscraperSheafFunctor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.GrothendieckTopology.Point", "CategoryTheory.Limits.HasProducts", "CategoryTheory.GrothendieckTopol...
true
_private.Mathlib.AlgebraicGeometry.Morphisms.QuasiCompact.0.AlgebraicGeometry.instHasAffinePropertyQuasiCompactCompactSpaceCarrierCarrierCommRingCat._simp_2
Mathlib.AlgebraicGeometry.Morphisms.QuasiCompact
[ "isCompact_iff_compactSpace", "Membership.mem", "Set.Elem", "CompactSpace", "TopologicalSpace", "propext", "instTopologicalSpaceSubtype", "Eq", "Set.instMembership", "IsCompact", "Set" ]
false
div_right_injective
Mathlib.Algebra.Group.Basic
[ "Eq.mpr", "DivInvMonoid.toInv", "instHDiv", "HMul.hMul", "Monoid.toMulOneClass", "congrArg", "CancelMonoid.toLeftCancelMonoid", "InvolutiveInv.toInv", "Group", "Group.toDivisionMonoid", "LeftCancelSemigroup.toIsLeftCancelMul", "LeftCancelMonoid.toLeftCancelSemigroup", "id", "MulOne.toMul",...
true
_private.Init.Data.Nat.Bitwise.Lemmas.0.Nat.testBit_two_pow._proof_1_3
Init.Data.Nat.Bitwise.Lemmas
[ "Nat.lt_of_not_le", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some",...
false
Prod.mk_le_mk._simp_1
Mathlib.Order.Basic
[ "Prod.instLE_mathlib", "Prod.mk", "LE.le", "LE", "And", "propext", "Prod", "Prod.mk_le_mk", "Eq" ]
false
_private.Mathlib.GroupTheory.SpecificGroups.Alternating.MaximalSubgroups.0.alternatingGroup.exists_mem_stabilizer_smul_eq._proof_1_3
Mathlib.GroupTheory.SpecificGroups.Alternating.MaximalSubgroups
[ "False", "Equiv.instEquivLike", "eq_false", "congrArg", "Classical.byContradiction", "Equiv.swap", "Function.comp", "Membership.mem", "Eq.mp", "id", "Equiv", "Equiv.swap_apply_def", "ite_cond_eq_true", "Lean.Grind.em", "Or.casesOn", "Equiv.Perm", "Lean.Grind.nestedDecidable", "True...
false
_private.Init.Data.UInt.Lemmas.0.UInt32.ofNat_mul._simp_1_1
Init.Data.UInt.Lemmas
[ "instPowNat", "UInt32.toNat", "UInt32.ofNat_eq_iff_mod_eq_toNat", "Nat.instMod", "instHMod", "UInt32.ofNat", "instOfNatNat", "instNatPowNat", "HMod.hMod", "HPow.hPow", "Nat", "propext", "UInt32", "instHPow", "OfNat.ofNat", "Eq" ]
false
Lean.FileMap.lineStart
Lean.Data.Position
[ "Lean.FileMap.positions", "Lean.FileMap", "HSub.hSub", "Option.getD", "instSubNat", "instOfNatNat", "String.Pos.Raw", "dite", "Array", "GetElem.getElem", "instHSub", "Array.back?", "Array.instGetElemNatLtSize", "Nat", "LT.lt", "Nat.decLt", "instLTNat", "String.instOfNatRaw", "OfN...
true
SimpleGraph.isNIndepSet_iff
Mathlib.Combinatorics.SimpleGraph.Clique
[ "SimpleGraph.IsIndepSet", "Finset", "And.casesOn", "SimpleGraph", "And", "Iff", "SimpleGraph.IsNIndepSet", "SetLike.coe", "Finset.instSetLike", "Nat", "And.intro", "Iff.intro", "SimpleGraph.IsNIndepSet.mk", "Finset.card", "Eq", "SimpleGraph.IsNIndepSet.casesOn" ]
true
_private.Mathlib.Order.Interval.Finset.Fin.0.Fin.finsetImage_natAdd_Icc._simp_1_1
Mathlib.Order.Interval.Finset.Fin
[ "Finset", "Finset.coe_inj", "SetLike.coe", "Finset.instSetLike", "propext", "Eq.symm", "Eq", "Set" ]
false
CategoryTheory.Functor.LaxMonoidal.μ_whiskerRight_comp_μ_assoc
Mathlib.CategoryTheory.Monoidal.Functor
[ "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.MonoidalCategory", "Eq.mp", "id", "Mathlib.Tactic.Reassoc.eq_whisker'", "CategoryTheory.Functor.map"...
true
Nat.gcd_sub_right_right_of_dvd
Init.Data.Nat.Gcd
[ "Nat.gcd", "Dvd.dvd", "HMul.hMul", "HSub.hSub", "instSubNat", "instMulNat", "LE.le", "instLENat", "instHSub", "Exists.casesOn", "Nat.instDvd", "Nat", "Eq.ndrec", "Nat.gcd_sub_mul_left_right", "Eq.symm", "Eq", "instHMul" ]
true
FundamentalGroupoid.instIsEmpty
Mathlib.AlgebraicTopology.FundamentalGroupoid.Basic
[ "FundamentalGroupoid.equiv", "IsEmpty", "Equiv.isEmpty", "FundamentalGroupoid" ]
true
signedDist_vadd_right_swap
Mathlib.Geometry.Euclidean.SignedDist
[ "Eq.mpr", "InnerProductSpace.toNormedSpace", "NegZeroClass.toNeg", "NormedCommRing.toSeminormedCommRing", "ContinuousAffineMap.instModuleOfSMulCommClassOfContinuousConstSMul", "SubtractionMonoid.toInvolutiveNeg", "Real", "Algebra.to_smulCommClass", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", ...
true
CategoryTheory.Lax.OplaxTrans.Hom._sizeOf_1
Mathlib.CategoryTheory.Bicategory.Modification.Lax
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Lax.OplaxTrans.instCategoryStructLaxFunctor", "instOfNatNat", "CategoryTheory.Bicategory", "instHAdd", "CategoryTheory.Lax.OplaxTrans.Hom.rec", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "CategoryTheory.Lax.OplaxTrans.Hom", "ins...
false
hasFDerivAt_inv
Mathlib.Analysis.Calculus.Deriv.Inv
[ "HasFDerivAt", "NormedCommRing.toNormedRing", "NegZeroClass.toNeg", "NormedCommRing.toSeminormedCommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "NormedRing.toRing", "DivisionCommMonoid.toDivisionMonoid", "DivInvOneMonoid.toInvOneClass", "IsTopologicalRing.toIsTopol...
true
DenselyOrdered.rec
Mathlib.Order.Basic
[ "Exists", "DenselyOrdered.mk", "And", "LT.lt", "DenselyOrdered", "LT" ]
false
_private.Mathlib.Lean.Expr.Basic.0.Lean.Name.fromComponents.go._unsafe_rec
Mathlib.Lean.Expr.Basic
[ "_private.Mathlib.Lean.Expr.Basic.0.Lean.Name.fromComponents.go._unsafe_rec", "List", "Lean.Name.updatePrefix", "Lean.Name", "_private.Mathlib.Lean.Expr.Basic.0.Lean.Name.fromComponents.go.match_1" ]
false
Turing.ToPartrec.Cfg.ctorIdx
Mathlib.Computability.TuringMachine.Config
[ "Turing.ToPartrec.Cont", "List", "Turing.ToPartrec.Cfg", "Nat", "Turing.ToPartrec.Cfg.casesOn" ]
false
Nat.shiftLeft'._unsafe_rec
Mathlib.Data.Nat.Bits
[ "Nat.bit", "Nat.boddDiv2.match_3", "Unit", "Nat", "Bool", "Nat.shiftLeft'._unsafe_rec" ]
false
_private.Init.Data.SInt.Lemmas.0.Int64.lt_iff_le_and_ne._simp_1_2
Init.Data.SInt.Lemmas
[ "Int64.toInt", "Int64", "Int", "LE.le", "Int64.le_iff_toInt_le", "propext", "Eq", "instLEInt64", "Int.instLEInt" ]
false
Mathlib.Tactic.BicategoryLike.AtomIso.mk.sizeOf_spec
Mathlib.Tactic.CategoryTheory.Coherence.Datatypes
[ "Mathlib.Tactic.BicategoryLike.Mor₁._sizeOf_inst", "Lean.Expr", "instOfNatNat", "Mathlib.Tactic.BicategoryLike.Mor₁", "instHAdd", "Mathlib.Tactic.BicategoryLike.AtomIso.mk", "HAdd.hAdd", "Mathlib.Tactic.BicategoryLike.AtomIso", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "Mathlib.Tactic...
true
CategoryTheory.Bicategory.RightLift.mk
Mathlib.CategoryTheory.Bicategory.Extension
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Bicategory.toCategoryStruct", "CategoryTheory.Bicategory.postcomp", "CategoryTheory.Bicategory", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Bicategory.RightLift", "CategoryTheory.CostructuredArrow.mk", "CategoryTheory...
true
Submodule.mem_adjoint_iff
Mathlib.Analysis.InnerProductSpace.LinearPMap
[ "NormedCommRing.toNormedRing", "WithLp", "Eq.mpr", "InnerProductSpace.toNormedSpace", "NegZeroClass.toNeg", "Submodule", "LinearEquiv.skewSwap", "LinearEquiv.symm", "WithLp.instProdNormedAddCommGroup", "fact_one_le_two_ennreal", "NormedRing.toRing", "_private.Mathlib.Analysis.InnerProductSpace...
true
CategoryTheory.Functor.pointwiseLeftKanExtensionCompIsoOfPreserves_fac_app
Mathlib.CategoryTheory.Functor.KanExtension.Preserves
[ "CategoryTheory.Functor.hasPointwiseLeftKanExtension_of_preserves", "CategoryTheory.Functor", "CategoryTheory.Functor.pointwiseLeftKanExtensionUnit", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory....
true
_private.Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Scheme.0.AlgebraicGeometry.termProj
Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Scheme
[ "Lean.Name.mkNum", "Lean.Name.mkStr", "instOfNatNat", "Lean.Name.anonymous", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "Lean.ParserDescr.symbol", "OfNat.ofNat" ]
true
DeltaGenerated.instLargeCategory._aux_5
Mathlib.Topology.Category.DeltaGenerated
[ "Quiver.mk", "Quiver.Hom", "TopCat.instCategory", "DeltaGenerated.instLargeCategory._aux_1", "CategoryTheory.InducedCategory.Hom", "CategoryTheory.InducedCategory", "DeltaGenerated", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.InducedCategory.Hom.mk", "CategoryTheory.Category.toCategoryS...
false
_private.Mathlib.Data.Fin.SuccPred.0.Fin.succAbove_succAbove_succAbove_predAbove._proof_1_12
Mathlib.Data.Fin.SuccPred
[ "Lean.RArray.leaf", "False", "Lean.Grind.not_false", "of_decide_eq_true", "Lean.Grind.ToInt.toInt", "congrArg", "Int.Linear.le_norm_expr", "Int.Linear.le_unsat", "Classical.byContradiction", "HSub.hSub", "Nat.not_le_eq", "Nat.ToInt.add_congr", "Lean.Grind.Nat.lt_eq", "Eq.mp", "Lean.RArra...
false
_private.Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Basic.0.tacticEval_simp
Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Basic
[ "Lean.Name.mkNum", "Lean.ParserDescr.nonReservedSymbol", "Lean.Name.mkStr", "instOfNatNat", "Lean.Name.anonymous", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "OfNat.ofNat", "Bool.false" ]
true
IsPrimitiveRoot.idealQuotient_mk
Mathlib.NumberTheory.NumberField.Ideal.Basic
[ "Iff.mpr", "Units.val", "Nat.Coprime", "Nat.instMulZeroOneClass", "MonoidHom.instMonoidHomClass", "IsPrimitiveRoot.toRootsOfUnity", "Nat.instMulZeroClass", "MonoidHom.instFunLike", "Ideal.absNorm", "MonoidHom", "NumberField.instCommRingRingOfIntegers", "Monoid.toMulOneClass", "CommSemiring.t...
true
Stream'.WSeq.ofList_cons
Mathlib.Data.WSeq.Basic
[ "Stream'.Seq", "Stream'.Seq.ofList_cons", "congrArg", "Stream'.WSeq.ofList", "Stream'.WSeq.cons", "Stream'.Seq.ofList", "Stream'.Seq.map_cons", "Option.some", "Stream'.Seq.map", "List.cons", "List", "Stream'.Seq.cons", "True", "eq_self", "Stream'.WSeq", "of_eq_true", "congrFun'", "...
true
_private.Mathlib.NumberTheory.Divisors.0.Int.mul_mem_zero_one_two_three_four_iff._simp_1_1
Mathlib.NumberTheory.Divisors
[ "Int.divisorsAntidiag", "HMul.hMul", "Finset", "Int.prodMk_mem_divisorsAntidiag", "Membership.mem", "Prod.mk", "Ne", "Int", "Int.instMul", "instOfNat", "Finset.instSetLike", "propext", "Prod", "OfNat.ofNat", "Eq.symm", "Eq", "SetLike.instMembership", "instHMul" ]
false
CompareReals.compareEquiv
Mathlib.Topology.UniformSpace.CompareReals
[ "AbstractCompletion.compareEquiv", "Real", "CompareReals.Q", "CompareReals.Bourbakiℝ", "PseudoMetricSpace.toUniformSpace", "CompareReals.bourbakiPkg", "CompareReals.Bourbaki.uniformSpace", "Real.pseudoMetricSpace", "CompareReals.uniformSpace", "rationalCauSeqPkg", "UniformEquiv" ]
true
Lean.Options.getInPattern
Lean.Data.Options
[ "Lean.KVMap.instValueBool", "Lean.Options.get", "Bool", "Bool.false", "Lean.Options", "Lean.Name.mkStr1" ]
true
StandardEtalePair.instEtaleRing
Mathlib.RingTheory.Etale.StandardEtale
[ "Polynomial.C", "Polynomial.instOne", "CommRing", "Semiring.toModule", "HMul.hMul", "Algebra.Etale.mk", "congrArg", "CommSemiring.toSemiring", "Algebra.FormallyEtale", "Polynomial.X_mul_C", "Polynomial.algebraOfAlgebra", "HSub.hSub", "StandardEtalePair.f", "RingHom", "Set.Finite", "Alg...
true
CategoryTheory.Equivalence.counitInv.eq_1
Mathlib.CategoryTheory.Equivalence
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Equivalence", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.id", "CategoryTheory.Equivalence.counitInv", "CategoryTheory.Equivalence.functor", "Eq.refl", ...
true
MulSemiringActionHom.map_mul'
Mathlib.GroupTheory.GroupAction.Hom
[ "DistribMulActionHom.toMulActionHom", "Monoid", "NonAssocSemiring.toAddCommMonoidWithOne", "MonoidHom.instFunLike", "HMul.hMul", "MonoidHom", "Monoid.toMulOneClass", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "MulOne.toMul", "DistribSMul.toSMulZeroC...
true
WithCStarModule.instNormedAddCommGroupProd._proof_18
Mathlib.Analysis.CStarAlgebra.Module.Constructions
[ "instUniformSpaceProd", "Equiv.instEquivLike", "uniformity", "PseudoMetricSpace.toUniformSpace", "nhds", "Equiv", "Prod.mk", "Prod.fst", "WithCStarModule", "SeminormedAddCommGroup.toPseudoMetricSpace", "TopologicalSpace.induced", "WithCStarModule.equiv", "Prod", "NormedAddCommGroup.toSemin...
false
_private.Init.Data.String.Lemmas.Order.0.String.Slice.Pos.ofSliceFrom_ne_startPos._simp_1_1
Init.Data.String.Lemmas.Order
[ "String.Slice", "Ne", "String.Slice.startPos", "String.Slice.Pos.startPos_lt_iff", "LT.lt", "String.instLTPos_1", "propext", "String.Slice.Pos", "Eq.symm", "Eq" ]
false
_private.Init.Data.String.Lemmas.Pattern.Char.0.String.Slice.Pattern.Model.Char.revMatchAt?_eq._simp_1_1
Init.Data.String.Lemmas.Pattern.Char
[ "String.Slice.Pos.prev", "String.Slice", "Exists", "Ne", "String.Slice.startPos", "And", "String.Slice.Pattern.Model.Char.instPatternModelChar", "propext", "String.Slice.Pattern.Model.Char.isLongestRevMatchAt_iff._proof_1", "String.Slice.Pos.get", "String.Slice.Pos", "Char", "String.Slice.Pa...
false
_private.Lean.Server.ProtocolOverview.0.Lean.Server.Overview.ProtocolExtensionKind.ctorIdx
Lean.Server.ProtocolOverview
[ "_private.Lean.Server.ProtocolOverview.0.Lean.Server.Overview.ProtocolExtensionKind", "String", "Array", "Nat", "_private.Lean.Server.ProtocolOverview.0.Lean.Server.Overview.ProtocolExtensionKind.casesOn", "Lean.Name" ]
false
_private.Mathlib.Algebra.MvPolynomial.SchwartzZippel.0.MvPolynomial.schwartz_zippel_sup_sum._simp_1_5
Mathlib.Algebra.MvPolynomial.SchwartzZippel
[ "And", "and_and_and_comm", "propext", "Eq" ]
false
NonUnitalStarAlgHom.mk
Mathlib.Algebra.Star.StarAlgHom
[ "DistribMulActionHom.toMulActionHom", "Monoid", "MonoidHom.instFunLike", "MonoidHom", "Monoid.toMulOneClass", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "NonUnitalAlgHom.toDistribMulActionHom", "DistribSMul.toSMulZeroClass", "NonUnitalAlgHom", "MulA...
true
ContinuousOrderHom._sizeOf_inst
Mathlib.Topology.Order.Hom.Basic
[ "ContinuousOrderHom", "TopologicalSpace", "SizeOf.mk", "SizeOf", "ContinuousOrderHom._sizeOf_1", "Preorder" ]
false
Std.DTreeMap.isEmpty_toList
Std.Data.DTreeMap.Lemmas
[ "Std.DTreeMap.Internal.Impl.isEmpty_toList", "Std.DTreeMap", "Std.DTreeMap.isEmpty", "Ordering", "Std.DTreeMap.inner", "List.isEmpty", "Bool", "Std.DTreeMap.toList", "Eq", "Sigma" ]
true
HahnModule.instAddCommGroup._proof_9
Mathlib.RingTheory.HahnSeries.Multiplication
[ "AddMonoid.toAddSemigroup", "AddCommGroup.toAddCommMonoid", "SMul", "HahnModule.instAddCommGroup._aux_6", "AddCommGroup.toAddGroup", "HahnModule", "PartialOrder", "AddCommGroup", "SubtractionMonoid.toSubNegZeroMonoid", "Int", "SubNegZeroMonoid.toNegZeroClass", "SubtractionCommMonoid.toSubtract...
false
_private.Mathlib.Combinatorics.SimpleGraph.Triangle.Tripartite.0.SimpleGraph.TripartiteFromTriangles.toTriangle._simp_5
Mathlib.Combinatorics.SimpleGraph.Triangle.Tripartite
[ "Finset", "Membership.mem", "Insert.insert", "Finset.mem_insert", "Finset.instInsert", "Finset.instSetLike", "propext", "Or", "Eq", "SetLike.instMembership", "DecidableEq" ]
false
Real.geom_mean_le_arith_mean3_weighted
Mathlib.Analysis.MeanInequalities
[ "Real.instPow", "Real.instLE", "Real", "HMul.hMul", "Real.instZero", "Distrib.toAdd", "NNReal", "LE.le", "instDistribOfSemiring", "Subtype.mk", "Real.instAdd", "Real.instOne", "instHAdd", "HPow.hPow", "HAdd.hAdd", "Real.instMul", "Iff.mp", "NNReal.instSemiring", "One.toOfNat1", ...
true
AddMonCat.HasLimits.limitConeIsLimit._proof_5
Mathlib.Algebra.Category.MonCat.Limits
[ "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "AddMonCat.instConcreteCategoryAddMonoidHomCarrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "AddMonoid.toAddZeroClass", "CategoryTheory.Functor.category", ...
false
AddMonoidHom.mulOp._proof_4
Mathlib.Algebra.Group.Equiv.Opposite
[ "MulOpposite", "Function.comp", "AddZeroClass.toAddZero", "instHAdd", "AddZeroClass", "HAdd.hAdd", "AddZero.toAdd", "MulOpposite.unop", "MulOpposite.unop_injective", "AddMonoidHom", "AddMonoidHom.instFunLike", "AddMonoidHom.map_add", "Eq", "DFunLike.coe", "MulOpposite.instAddZeroClass", ...
false
CategoryTheory.comp_eqToHom_iff
Mathlib.CategoryTheory.EqToHom
[ "CategoryTheory.Category.assoc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.eq_whisker", "CategoryTheory.eqToHom", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Category.comp_id", "Iff", "True", "Iff.intro", "eq_self", "CategoryTheory.CategorySt...
true
_private.Init.Data.Format.Basic.0.Std.Format.SpaceResult.foundLine
Init.Data.Format.Basic
[ "_private.Init.Data.Format.Basic.0.Std.Format.SpaceResult", "Bool" ]
true
Ordinal.isNormal_veblen_zero
Mathlib.SetTheory.Ordinal.Veblen
[ "Ordinal.veblen", "Ordinal.instLinearOrder", "Preorder.toLT", "Ordinal.omega0", "Ordinal.partialOrder", "congrArg", "instIsBotZeroClass", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "AddZeroClass.toAddZero", "DistribLattice.toLatti...
true
instContinuousSMulTangentSpace
Mathlib.Geometry.Manifold.IsManifold.Basic
[ "NormedCommRing.toSeminormedCommRing", "NormedSpace", "ContinuousSMul", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "instAddCommGroupTangentSpace", "instContinuousSMulTangentSpace._proof_1", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGr...
true
Cardinal.lift_sSup
Mathlib.SetTheory.Cardinal.Basic
[ "not_le", "Iff.mpr", "csSup_le'", "False", "Preorder.toLT", "Cardinal", "congrArg", "PartialOrder.toPreorder", "csSup_le_iff'", "Cardinal.lift", "Preorder.toLE", "Membership.mem", "LE.le.antisymm", "LinearOrder.toDecidableLE", "Eq.mp", "Cardinal.mem_range_lift_of_le", "LT.lt.le", "...
true
_private.Mathlib.Order.ModularLattice.0.strictMono_inf_prod_sup.match_1_1
Mathlib.Order.ModularLattice
[ "Lattice", "Lattice.toSemilatticeSup", "Prod.instLE_mathlib", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "SemilatticeSup.toMax", "inferInstance", "Prod.mk", "SemilatticeInf.toMin", "LE.le", "Prod.fst", "LE", "And.casesOn", "Max.max", "And.intro", "Pr...
false
Lean.Parser.Term.letOpts.formatter
Lean.Parser.Term
[ "Lean.PrettyPrinter.Formatter", "Lean.PrettyPrinter.Formatter.orelse.formatter", "Lean.Parser.Term.letOptNondep.formatter", "Lean.Parser.withCache.formatter", "Lean.Parser.Term.letOptZeta.formatter", "Lean.Parser.leadingNode.formatter", "instOfNatNat", "Lean.PrettyPrinter.Formatter.withAntiquot.format...
true
LieAlgebra.SemiDirectSum.inl
Mathlib.Algebra.Lie.SemiDirect
[ "LieHom", "LieAlgebra.toModule", "CommRing", "LieAlgebra.SemiDirectSum.inl._proof_1", "LieDerivation", "LieRing.toAddCommGroup", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "lieAlgebraSelfModule", "SubtractionMonoid.toSubNegZeroMonoid", "LieAlgebra.SemiDirectSum.inl._proof_2", "...
true
_private.Mathlib.RingTheory.AdicCompletion.Exactness.0.AdicCompletion.mapPreimage
Mathlib.RingTheory.AdicCompletion.Exactness
[ "CommRing", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "LinearMap.instFunLike", "AddCommGroup", "Set.Elem", "Set.instSingletonSet", "Nat.brecOn", "Ideal", "LinearMap", "CommRing.toCommSemiring", "Set.preimage", "_private.Mathlib.RingTheory.AdicCompletion.Exactness.0.AdicCompl...
true
CategoryTheory.Cat.equivOfIso._proof_3
Mathlib.CategoryTheory.Category.Cat
[ "CategoryTheory.Cat.category", "CategoryTheory.Functor", "CategoryTheory.Iso.inv_hom_id", "congrArg", "CategoryTheory.Functor.comp", "CategoryTheory.Cat.str", "CategoryTheory.Functor.id", "CategoryTheory.CategoryStruct.id", "id", "CategoryTheory.Iso", "CategoryTheory.Cat", "CategoryTheory.Bund...
false
Finsupp.subtypeDomain_sub
Mathlib.Data.Finsupp.Basic
[ "AddGroup.toSubtractionMonoid", "Finsupp.instFunLike", "Finsupp.ext", "HSub.hSub", "Subtype", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "AddGroup", "instHSub", "Finsupp.subtypeDomain", "NegZeroClass.toZero", "Eq", "DFunLike.coe", "Finsupp", "Finsupp.instS...
true