name stringlengths 2 347 | module stringlengths 6 90 | deps listlengths 0 692 | allowCompletion bool 2
classes |
|---|---|---|---|
AlgebraicGeometry.IsAffineOpen.basicOpen_basicOpen_is_basicOpen | Mathlib.AlgebraicGeometry.AffineScheme | [
"Iff.mpr",
"Eq.mpr",
"AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier",
"instHSMul",
"AlgebraicGeometry.Scheme",
"MonoidHom.instFunLike",
"CommRingCat.Hom.hom",
"Opposite",
"HMul.hMul",
"LE.le.trans_eq",
"CommRingCat.carrier",
"AlgebraicGeometry.PresheafedSpace.carrier",
"A... | true |
DistribLattice.ofInfSupLe | Mathlib.Order.Lattice | [
"DistribLattice.ofInfSupLe._proof_4",
"Lattice",
"Lattice.toSemilatticeSup",
"PartialOrder.toPreorder",
"Preorder.toLE",
"SemilatticeInf.toPartialOrder",
"SemilatticeSup.toMax",
"SemilatticeInf.toMin",
"LE.le",
"DistribLattice",
"Max.max",
"Min.min",
"Lattice.toSemilatticeInf",
"DistribLat... | true |
KaehlerDifferential.moduleBaseChange._proof_3 | Mathlib.RingTheory.Kaehler.TensorProduct | [
"CommRing",
"Algebra.to_smulCommClass",
"instHSMul",
"NonUnitalCommRing.toNonUnitalNonAssocCommRing",
"TensorProduct.comm",
"IsScalarTower.right",
"CommRing.toNonUnitalCommRing",
"instAddCommGroupKaehlerDifferential",
"SMulCommClass.of_commMonoid",
"congrArg",
"CommSemiring.toSemiring",
"Kaehl... | false |
instContinuousAddWeakSpace | Mathlib.Topology.Algebra.Module.Spaces.WeakDual | [
"instSMulOfMul",
"CommSemiring.toSemiring",
"instAddCommMonoidWeakSpace",
"Distrib.toAdd",
"ContinuousConstSMul",
"AddCommMonoid",
"instDistribOfSemiring",
"CommSemiring",
"TopologicalSpace",
"Distrib.toMul",
"instTopologicalSpaceWeakSpace",
"AddCommSemigroup.toAddCommMagma",
"Module",
"Co... | true |
nndist_inv_inv₀ | Mathlib.Analysis.Normed.Field.Basic | [
"NNDist.nndist",
"instHDiv",
"GroupWithZero.toDivisionMonoid",
"HMul.hMul",
"DivInvOneMonoid.toInvOneClass",
"dist_inv_inv₀",
"SeminormedAddGroup.toNNNorm",
"NNNorm.nnnorm",
"NormedDivisionRing.toNormedRing",
"PseudoMetricSpace.toNNDist",
"DivisionSemiring.toGroupWithZero",
"NormedDivisionRing... | true |
Sum.isLeft_iff | Init.Data.Sum.Lemmas | [
"False",
"Sum.ctorIdx",
"congrArg",
"False.elim",
"noConfusion_of_Nat",
"Exists",
"Sum.casesOn",
"Sum",
"Sum.inl",
"Sum.inl.injEq",
"iff_self",
"Bool.ctorIdx",
"Bool.true",
"funext",
"exists_false._simp_1",
"Iff",
"Sum.inr",
"congr",
"True",
"eq_self",
"Bool",
"of_eq_true",... | true |
boolAlg_dual_comp_forget_to_bddDistLat | Mathlib.Order.Category.BoolAlg | [
"CategoryTheory.Functor",
"BoolAlg.dual",
"BddDistLat.isBoundedOrder",
"BddDistLat.instDistribLatticeCarrier",
"BoolAlg.carrier",
"BoundedLatticeHom.instFunLike",
"BoolAlg.hasForgetToBddDistLat",
"CategoryTheory.Functor.comp",
"BoolAlg",
"BddDistLat.dual",
"BddDistLat",
"BooleanAlgebra.toBound... | true |
NumberField.InfinitePlace.mkReal._proof_1 | Mathlib.NumberTheory.NumberField.InfinitePlace.Basic | [
"Subtype.mk.congr_simp",
"NumberField.ComplexEmbedding.IsReal",
"congrArg",
"NumberField.InfinitePlace.isReal_iff",
"NumberField.InfinitePlace.mk_embedding",
"RingHom",
"Subtype",
"NumberField.InfinitePlace.mk",
"NumberField.InfinitePlace.embedding",
"NumberField.InfinitePlace.IsReal",
"Field.to... | false |
_private.Batteries.Data.List.Lemmas.0.List.findIdxNth_countPBefore_of_lt_length_of_pos._proof_1_5 | Batteries.Data.List.Lemmas | [
"Nat.succ_lt_succ_iff",
"Lean.Grind.nestedProof",
"HSub.hSub",
"instSubNat",
"instOfNatNat",
"List.cons",
"List",
"instHAdd",
"instHSub",
"HAdd.hAdd",
"Nat",
"LT.lt",
"Iff.mp",
"instAddNat",
"List.getElem_cons.match_1",
"instLTNat",
"OfNat.ofNat",
"Nat.succ",
"Eq",
"List.length... | false |
NonUnitalAlgHomClass | Mathlib.Algebra.Algebra.NonUnitalHom | [
"Monoid",
"outParam",
"Monoid.toMulOneClass",
"NonUnitalNonAssocSemiring.toAddCommMonoid",
"MulOneClass.toMulOne",
"MonoidHom.id",
"DistribMulAction",
"AddCommMonoid.toAddMonoid",
"NonUnitalNonAssocSemiring",
"FunLike",
"NonUnitalAlgSemiHomClass"
] | true |
instAssociativeUInt32HMul | Init.Data.UInt.Lemmas | [
"HMul.hMul",
"UInt32.mul_assoc",
"instMulUInt32",
"Std.Associative.mk",
"UInt32",
"Std.Associative",
"instHMul"
] | true |
_private.Init.Data.Range.Polymorphic.Internal.SignedBitVec.0.BitVec.Signed.sle_iff_rotate_le_rotate._proof_1_11 | Init.Data.Range.Polymorphic.Internal.SignedBitVec | [
"instPowNat",
"Nat.lt_of_not_le",
"False",
"Lean.Omega.Constraint.not_sat'_of_isImpossible",
"Int.natCast_add",
"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",
"Classical... | false |
List.Cursor.pos_le_length | Std.Do.Triple.SpecLemmas | [
"Nat.le_add_right._simp_1",
"List.Cursor.property",
"congrArg",
"List.Cursor.pos",
"List.length_append",
"LE.le",
"List.Cursor.suffix",
"instLENat",
"instHAppendOfAppend",
"List",
"instHAdd",
"HAdd.hAdd",
"Nat",
"True",
"List.Cursor",
"of_eq_true",
"instAddNat",
"List.instAppend",
... | true |
Lean.Meta.Grind.MethodsRef | Lean.Meta.Tactic.Grind.Types | [
"NonemptyType.type",
"_private.Lean.Meta.Tactic.Grind.Types.0.Lean.Meta.Grind.MethodsRefPointed"
] | true |
_private.Mathlib.Topology.EMetricSpace.Lipschitz.0.continuousOn_prod_of_subset_closure_continuousOn_lipschitzOnWith.match_1_3 | Mathlib.Topology.EMetricSpace.Lipschitz | [
"Set.instSProd",
"PseudoEMetricSpace.toWeakPseudoEMetricSpace",
"ENNReal.ofNNReal",
"instHDiv",
"SProd.sprod",
"Nat.instAtLeastTwoHAddOfNat",
"setOf",
"Membership.mem",
"HDiv.hDiv",
"Prod.mk",
"AddMonoidWithOne.toNatCast",
"NNReal",
"instOfNatNat",
"AddCommMonoidWithOne.toAddMonoidWithOne"... | false |
_private.Mathlib.Combinatorics.Enumerative.Schroder.0.Nat.smallSchroder.match_1.eq_2 | Mathlib.Combinatorics.Enumerative.Schroder | [
"Unit.unit",
"Nat.smallSchroder.match_1",
"instOfNatNat",
"Unit",
"Nat",
"Eq.refl",
"OfNat.ofNat",
"Nat.succ",
"Eq"
] | true |
_private.Mathlib.Combinatorics.Graph.Subgraph.0.Graph.IsLink.anti_of_mem | Mathlib.Combinatorics.Graph.Subgraph | [
"Graph.exists_isLink_of_mem_edgeSet",
"Graph.IsLink.mono",
"PartialOrder.toPreorder",
"Preorder.toLE",
"Membership.mem",
"Exists",
"Graph",
"LE.le",
"Or.casesOn",
"And.casesOn",
"Graph.IsLink.symm",
"And",
"Graph.IsLink",
"Exists.casesOn",
"Graph.edgeSet",
"Eq.ndrec",
"Or",
"Graph.... | true |
isGδ_induced | Mathlib.Topology.GDelta.Basic | [
"Eq.mpr",
"Continuous",
"congrArg",
"Set.iInter",
"Exists",
"IsGδ.eq_iInter_nat",
"id",
"And.casesOn",
"TopologicalSpace",
"And",
"Exists.casesOn",
"Set.preimage",
"Nat",
"IsOpen",
"Set.preimage_iInter",
"Continuous.isOpen_preimage",
"Eq",
"IsGδ",
"instCountableNat",
"Eq.trans"... | true |
_private.Mathlib.Analysis.BoxIntegral.Basic.0.BoxIntegral.integrable_of_bounded_and_ae_continuousWithinAt._simp_1_5 | Mathlib.Analysis.BoxIntegral.Basic | [
"Set.iUnion_subset_iff",
"HasSubset.Subset",
"propext",
"Eq",
"Set.iUnion",
"Set.instHasSubset",
"Set"
] | false |
add_dotProduct | Mathlib.Data.Matrix.Mul | [
"add_mul",
"HMul.hMul",
"Finset.univ",
"dotProduct",
"congrArg",
"Finset.sum_add_distrib",
"Finset",
"AddMonoid.toAddZeroClass",
"Distrib.rightDistribClass",
"Membership.mem",
"AddZeroClass.toAddZero",
"Distrib.toAdd",
"NonUnitalNonAssocSemiring.toAddCommMonoid",
"instHAdd",
"Pi.instAdd"... | true |
WittVector.eval | Mathlib.RingTheory.WittVector.Defs | [
"CommRing",
"WittVector.peval",
"WittVector.mk",
"Int",
"WittVector",
"Nat",
"MvPolynomial",
"WittVector.coeff",
"Prod",
"Int.instCommSemiring",
"Fin"
] | true |
SSet.Subcomplex.PairingCore.RankFunction._sizeOf_1 | Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.Rank | [
"SSet.Subcomplex.PairingCore.ι",
"SSet.Subcomplex.PairingCore.RankFunction.rec",
"Preorder.toLT",
"SSet.Subcomplex.PairingCore",
"PartialOrder.toPreorder",
"SSet.Subcomplex.PairingCore.RankFunction",
"PartialOrder",
"instOfNatNat",
"SSet",
"Nat",
"LT.lt",
"SSet.Subcomplex",
"SSet.Subcomplex.... | false |
Std.TreeMap.getEntryGT? | Std.Data.TreeMap.Basic | [
"Std.TreeMap.inner",
"Ordering",
"Std.DTreeMap.Const.getEntryGT?",
"Prod",
"Std.TreeMap",
"Option"
] | true |
UniformSpace.Completion.ring._proof_11 | Mathlib.Topology.Algebra.UniformRing | [
"AddMonoidWithOne.unary",
"UniformSpace",
"Eq.mpr",
"UniformSpace.Completion.coe'",
"MulOne.toOne",
"HMul.hMul",
"UniformSpace.Completion.mul",
"Ring.toNonAssocRing",
"AddGroupWithOne.toAddGroup",
"congrArg",
"AddGroupWithOne.toAddMonoidWithOne",
"Mul",
"inferInstance",
"id",
"MulOne.toM... | false |
CentroidHom.coe_sub._simp_1 | Mathlib.Algebra.Ring.CentroidHom | [
"NonUnitalNonAssocRing",
"NonUnitalNonAssocRing.toAddCommGroup",
"HSub.hSub",
"AddCommGroup.toAddGroup",
"NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
"CentroidHom.coe_sub",
"SubNegMonoid.toSub",
"instHSub",
"AddGroup.toSubNegMonoid",
"Pi.instSub",
"CentroidHom.instSub",
"Eq.symm",
"C... | false |
_private.Init.Data.Array.BinSearch.0.Array.binInsertAux._unary._proof_2 | Init.Data.Array.BinSearch | [
"Std.IsLinearPreorder.toIsPreorder",
"Std.instReflLeOfIsPreorder",
"Std.le_refl._simp_1",
"LE.le",
"instLENat",
"Fin.val",
"Array",
"Nat",
"LT.lt",
"Fin.val_lt_of_le",
"of_eq_true",
"instLTNat",
"Fin",
"Array.size",
"Nat.instIsLinearOrder",
"Std.IsLinearOrder.toIsLinearPreorder"
] | false |
_private.Mathlib.Data.NNReal.Defs.0.NNReal.iSup_eq_zero._simp_1_2 | Mathlib.Data.NNReal.Defs | [
"le_bot_iff",
"OrderBot.toBot",
"PartialOrder.toPreorder",
"Preorder.toLE",
"OrderBot",
"PartialOrder",
"Bot.bot",
"LE.le",
"propext",
"Eq.symm",
"Eq"
] | false |
Semiring.toGrindSemiring._proof_15 | Mathlib.Algebra.Ring.GrindInstances | [
"NonAssocSemiring.toAddCommMonoidWithOne",
"instNeZeroNatHAdd_1",
"AddMonoid.toAddZeroClass",
"Nat.instAtLeastTwoHAddOfNat",
"Semiring.toGrindSemiring._proof_1",
"AddZeroClass.toAddZero",
"inferInstance",
"Semiring.toGrindSemiring.match_1",
"NatCast",
"AddMonoidWithOne.toNatCast",
"instOfNatNat"... | false |
Filter.Tendsto.div_const | Mathlib.Topology.Algebra.GroupWithZero | [
"Eq.mpr",
"DivInvMonoid.toInv",
"instHDiv",
"HMul.hMul",
"Monoid.toMulOneClass",
"congrArg",
"nhds",
"Filter.Tendsto.mul_const",
"id",
"MulOne.toMul",
"HDiv.hDiv",
"DivInvMonoid.toMonoid",
"div_eq_mul_inv",
"DivInvMonoid",
"TopologicalSpace",
"funext",
"MulOneClass.toMulOne",
"Inv.... | true |
_private.Lean.LibrarySuggestions.Basic.0.Lean.LibrarySuggestions.Selector.intersperse._proof_5 | Lean.LibrarySuggestions.Basic | [
"False",
"Lean.Omega.Constraint.not_sat'_of_isImpossible",
"of_decide_eq_true",
"le_of_le_of_eq",
"Lean.LibrarySuggestions.Config.maxSuggestions",
"Lean.Omega.Constraint.mk",
"Lean.Omega.Constraint.combine_sat'",
"Int.add_one_le_of_lt",
"HSub.hSub",
"Lean.Omega.Int.add_congr",
"Lean.Omega.Linear... | false |
Lean.Doc.Inline.concat.sizeOf_spec | Lean.DocString.Types | [
"Lean.Doc.Inline._sizeOf_inst",
"Lean.Doc.Inline._sizeOf_2_eq",
"congrArg",
"Lean.Doc.Inline._sizeOf_2",
"instOfNatNat",
"Array._sizeOf_inst",
"Array",
"Lean.Doc.Inline.concat",
"instHAdd",
"HAdd.hAdd",
"Nat",
"SizeOf.sizeOf",
"instAddNat",
"SizeOf",
"OfNat.ofNat",
"Eq",
"Nat.add",
... | true |
_private.Std.Data.String.ToInt.0.String.Slice.toInt?_eq_some_iff._simp_1_4 | Std.Data.String.ToInt | [
"Option.some",
"Exists",
"Option.map",
"And",
"propext",
"Eq",
"Option.map_eq_some_iff",
"Option"
] | false |
Function.surjective_iff_hasRightInverse | Mathlib.Logic.Function.Basic | [
"Function.Surjective.hasRightInverse",
"Function.HasRightInverse.surjective",
"Iff",
"Iff.intro",
"Function.Surjective",
"Function.HasRightInverse"
] | true |
Mathlib.Tactic.AtomM.RecurseM | Mathlib.Util.AtomM.Recurse | [
"ReaderT",
"Mathlib.Tactic.AtomM.Recurse.Context",
"Mathlib.Tactic.AtomM"
] | true |
SemidirectProduct.mulEquivSubgroup_symm_apply | Mathlib.GroupTheory.SemidirectProduct | [
"SemidirectProduct.mulEquivSubgroup",
"MulEquiv.instEquivLike",
"MonoidHom.instFunLike",
"MonoidHom",
"Monoid.toMulOneClass",
"SemidirectProduct",
"SemidirectProduct.mulEquivSubgroup._proof_1",
"MulAut.instGroup",
"PartialOrder.toPreorder",
"SemidirectProduct.instMul",
"Subgroup.mul",
"Group",... | true |
_private.Mathlib.RingTheory.Ideal.KrullsHeightTheorem.0.Ideal.mem_minimalPrimes_span_of_mem_minimalPrimes_span_insert.match_1_2 | Mathlib.RingTheory.Ideal.KrullsHeightTheorem | [
"CommRing",
"Semiring.toModule",
"CommSemiring.toSemiring",
"PartialOrder.toPreorder",
"Preorder.toLE",
"RingHom",
"Set.instSingletonSet",
"Ideal.map",
"Submodule.instPartialOrder",
"LE.le",
"Ideal",
"And.casesOn",
"NonUnitalNonAssocSemiring.toAddCommMonoid",
"HasQuotient.Quotient",
"Ide... | false |
AlgebraicGeometry.Scheme.IdealSheafData.range_glueDataObjι_ι | Mathlib.AlgebraicGeometry.IdealSheaf.Subscheme | [
"Set.range_comp",
"Eq.mpr",
"AlgebraicGeometry.IsAffineOpen.isoSpec",
"AlgebraicGeometry.Spec",
"AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier",
"AlgebraicGeometry.Scheme",
"Semiring.toModule",
"Opposite",
"AlgebraicGeometry.Scheme.IdealSheafData.glueDataObjι",
"CommRingCat.car... | true |
m_Birkhoff_inequalities | Mathlib.Algebra.Order.Group.Unbundled.Abs | [
"Lattice",
"Lattice.toSemilatticeSup",
"instHDiv",
"Monoid.toMulOneClass",
"mabs_inf_div_inf_le_mabs",
"PartialOrder.toPreorder",
"Preorder.toLE",
"SemilatticeInf.toPartialOrder",
"SemilatticeSup.toMax",
"MulLeftMono",
"MulOne.toMul",
"HDiv.hDiv",
"DivInvMonoid.toMonoid",
"SemilatticeInf.t... | true |
Inv.mk | Init.Prelude | [
"Inv",
"Inv.mk"
] | true |
AddSubgroup.relIindex_dvd_two_iff' | Mathlib.GroupTheory.Index | [
"Dvd.dvd",
"Iff.of_eq",
"congrArg",
"AddSubgroup.index",
"AddMonoid.toAddZeroClass",
"AddSubgroup.toAddGroup",
"Membership.mem",
"Exists",
"Subtype.exists",
"AddZeroClass.toAddZero",
"Subtype.forall",
"Subtype",
"instOfNatNat",
"exists_prop",
"Subtype.mk",
"AddSubgroup",
"iff_self",
... | true |
Int.fdiv.eq_5 | Init.Data.Int.DivMod.Basic | [
"instHDiv",
"Int.fdiv",
"HDiv.hDiv",
"Int.ofNat",
"Int",
"Nat",
"Nat.instDiv",
"Eq.refl",
"Int.negSucc",
"Nat.succ",
"Eq"
] | true |
LinearIsometryEquiv.toSpanUnitSingleton._proof_4 | Mathlib.Analysis.Normed.Module.Span | [
"IsDomain",
"NormedDivisionRing.toDivisionRing",
"DivisionRing.toDivisionSemiring",
"DivisionSemiring.toSemiring",
"DivisionRing.isDomain",
"NormedDivisionRing"
] | false |
Geometry.SimplicialComplex.ofAffineIndependent._proof_2 | Mathlib.Analysis.Convex.SimplicialComplex.AffineIndependentUnion | [
"AffineIndependent",
"AddCommGroup.toAddCommMonoid",
"PreAbstractSimplicialComplex.faces",
"Finset",
"AffineIndependent.mono",
"Set.subset_biUnion_of_mem",
"AddCommGroup.toAddGroup",
"Membership.mem",
"Field.toDivisionRing",
"AddCommGroup",
"Set.Elem",
"Subtype",
"addGroupIsAddTorsor",
"Di... | false |
String.Slice.instDecidableEqPos.decEq | Init.Data.String.Defs | [
"Decidable.isTrue",
"String.Slice.instDecidableEqPos.decEq._proof_2",
"Decidable",
"String.Slice",
"String.Slice.instDecidableEqPos.decEq._proof_1",
"String.Slice.instDecidableEqPos.decEq._proof_3",
"String.Pos.Raw",
"String.Pos.Raw.IsValidForSlice",
"dite",
"instDecidableEqRaw",
"String.Slice.P... | true |
tsum_geometric_of_lt_one | Mathlib.Analysis.SpecificLimits.Basic | [
"Real.instLE",
"Real",
"Real.instZero",
"Real.instInv",
"Real.instSub",
"EMetricSpace.metrizableSpace",
"HSub.hSub",
"PseudoMetricSpace.toUniformSpace",
"Real.instLT",
"LE.le",
"SummationFilter.instNeBotUnconditional",
"Monoid.toPow",
"Real.instOne",
"Real.instMonoid",
"HasSum.tsum_eq",
... | true |
IsSimpleRing.exists_algEquiv_matrix_of_isAlgClosed | Mathlib.RingTheory.SimpleModule.IsAlgClosed | [
"Nat.instMulZeroClass",
"Semiring.toModule",
"IsArtinianRing",
"IsScalarTower.right",
"Ring.toNonAssocRing",
"AlgEquiv.symm",
"CommSemiring.toSemiring",
"AlgEquiv.ofBijective",
"AddCommGroup.toAddCommMonoid",
"Matrix",
"IsSimpleRing",
"instDecidableEqFin",
"Algebra",
"Algebra.IsAlgebraic.o... | true |
ProbabilityTheory.condExp_prod_ae_eq_integral_condDistrib₀ | Mathlib.Probability.Kernel.CondDistrib | [
"MeasureTheory.ae",
"Eq.mpr",
"StandardBorelSpace",
"Real",
"MeasureTheory.Measure",
"CompleteSpace",
"MeasurableSpace.comap",
"NormedSpace",
"Measurable.aemeasurable",
"AEMeasurable",
"congrArg",
"Measurable",
"PseudoMetricSpace.toUniformSpace",
"MeasureTheory.Integrable",
"Function.com... | true |
_private.Mathlib.RingTheory.Smooth.NoetherianDescent.0.Algebra.Smooth.DescentAux.q | Mathlib.RingTheory.Smooth.NoetherianDescent | [
"Nat.instMulZeroClass",
"CommRing",
"Algebra.Generators.Ring",
"CommSemiring.toSemiring",
"_private.Mathlib.RingTheory.Smooth.NoetherianDescent.0.Algebra.Smooth.DescentAux.vars",
"AddMonoidAlgebra.commSemiring",
"Algebra",
"_private.Mathlib.RingTheory.Smooth.NoetherianDescent.0.Algebra.Smooth.DescentA... | true |
TopCat.coe_of_of | Mathlib.Topology.Category.TopCat.Basic | [
"CategoryTheory.CategoryStruct.toQuiver",
"Quiver.Hom",
"TopCat.instCategory",
"ContinuousMap",
"CategoryTheory.ConcreteCategory.instFunLike",
"TopologicalSpace",
"TopCat.str",
"TopCat.carrier",
"TopCat.ofHom",
"CategoryTheory.types",
"CategoryTheory.forget",
"TopCat.instConcreteCategoryContin... | true |
_private.Mathlib.Algebra.Module.ZLattice.Covolume.0._auto_28 | Mathlib.Algebra.Module.ZLattice.Covolume | [
"Lean.Syntax.node",
"Array.push",
"Lean.Syntax",
"Array.empty",
"Lean.Name.mkStr2",
"Lean.SourceInfo.none",
"Lean.Name.mkStr1",
"Lean.Name.mkStr4",
"Lean.mkAtom"
] | false |
Rep.equivalenceModuleMonoidAlgebra | Mathlib.RepresentationTheory.Rep.Iso | [
"Monoid",
"CommRing",
"Rep.ofModuleMonoidAlgebra",
"ModuleCat",
"CommSemiring.toSemiring",
"CategoryTheory.Equivalence",
"CategoryTheory.Functor.comp",
"Rep.instCategory",
"MonoidAlgebra.ring",
"CategoryTheory.Functor.id",
"Rep.equivalenceModuleMonoidAlgebra._proof_2",
"Rep.equivalenceModuleMo... | true |
Turing.ListBlank.modifyNth._unsafe_rec | Mathlib.Computability.TuringMachine.Tape | [
"Turing.ListBlank.tail",
"Nat",
"Turing.ListBlank.cons",
"Turing.ListBlank.modifyNth.match_1",
"Turing.ListBlank",
"Inhabited",
"Turing.ListBlank.head",
"Turing.ListBlank.modifyNth._unsafe_rec"
] | false |
CategoryTheory.NonPreadditiveAbelian.isIso_factorThruImage | Mathlib.CategoryTheory.Abelian.NonPreadditive | [
"CategoryTheory.IsIso",
"CategoryTheory.Mono",
"CategoryTheory.Abelian.image",
"CategoryTheory.CategoryStruct.toQuiver",
"Quiver.Hom",
"CategoryTheory.NonPreadditiveAbelian.has_cokernels",
"CategoryTheory.Abelian.factorThruImage",
"CategoryTheory.NonPreadditiveAbelian",
"CategoryTheory.NonPreadditiv... | true |
Matroid.comap_indep_iff._simp_1 | Mathlib.Combinatorics.Matroid.Map | [
"Matroid.comap_indep_iff",
"Matroid.Indep",
"And",
"propext",
"Matroid.comap",
"Set.image",
"Set.InjOn",
"Eq",
"Matroid",
"Set"
] | false |
Multiset.sym2_mono | Mathlib.Data.Multiset.Sym | [
"PartialOrder.toPreorder",
"Preorder.toLE",
"Multiset",
"Eq.mp",
"LE.le",
"_private.Mathlib.Data.Multiset.Sym.0.Multiset.sym2_mono._simp_1_1",
"Quotient.mk",
"List",
"Quotient.inductionOn₂",
"List.Subperm",
"Multiset.sym2",
"List.Subperm.sym2",
"List.isSetoid",
"Sym2",
"Multiset.instPart... | true |
Real.Angle.toReal_le_pi | Mathlib.Analysis.SpecialFunctions.Trigonometric.Angle | [
"Mathlib.Tactic.Ring.Common.neg_zero",
"Eq.mpr",
"NegZeroClass.toNeg",
"NonAssocSemiring.toAddCommMonoidWithOne",
"Mathlib.Tactic.Ring.Common.neg_mul",
"Real.instLE",
"Real",
"Mathlib.Meta.NormNum.instAddMonoidWithOne",
"Real.instArchimedean",
"Mathlib.Tactic.Ring.Common.neg_add",
"Real.pi",
"... | true |
_private.Mathlib.FieldTheory.RatFunc.Luroth.0.RatFunc.Luroth.q | Mathlib.FieldTheory.RatFunc.Luroth | [
"Semigroup.toMul",
"instSMulOfMul",
"HMul.hMul",
"_private.Mathlib.FieldTheory.RatFunc.Luroth.0.RatFunc.Luroth.instAlgebraSubtypeMemIntermediateFieldAdjoinSingletonSetGenerator",
"CommRing.toNonUnitalCommRing",
"Algebra.algebraMap",
"CommSemiring.toSemiring",
"IntermediateField.algebraAdjoinAdjoin.ins... | true |
Set.inter_self | Mathlib.Data.Set.Basic | [
"Set.ext",
"Membership.mem",
"Set.instInter",
"Inter.inter",
"and_self_iff",
"Eq",
"Set.instMembership",
"Set"
] | true |
Std.DHashMap.Raw.getKeyD_erase | Std.Data.DHashMap.RawLemmas | [
"Std.DHashMap.Raw.WF",
"Eq.mpr",
"Std.DHashMap.Raw.WF.erase₀",
"congrArg",
"Std.DHashMap.Raw",
"id",
"instDecidableEqBool",
"instOfNatNat",
"Std.DHashMap.Raw.WF.size_buckets_pos",
"LawfulHashable",
"Std.DHashMap.Raw.getKeyD",
"Subtype.mk",
"Bool.true",
"BEq.beq",
"EquivBEq",
"Std.DHash... | true |
Nat.ofDigits_div_pow_eq_ofDigits_drop | Mathlib.Data.Nat.Digits.Defs | [
"instPowNat",
"Eq.mpr",
"MulOne.toOne",
"List.drop_drop",
"Nat.recAux",
"instHDiv",
"HMul.hMul",
"Monoid.toMulOneClass",
"congrArg",
"Nat.instMonoid",
"Nat.ofDigits",
"Membership.mem",
"Nat.pow_succ",
"id",
"HDiv.hDiv",
"instMulNat",
"instOfNatNat",
"Nat.div_one",
"List.tail",
... | true |
instIsDirectedOrder | Mathlib.Algebra.Order.Archimedean.Basic | [
"NonAssocSemiring.toAddCommMonoidWithOne",
"Lattice.toSemilatticeSup",
"instDistribLatticeNat",
"IsOrderedRing.toZeroLEOneClass",
"IsOrderedRing",
"Nat.mono_cast",
"PartialOrder.toPreorder",
"Preorder.toLE",
"Exists",
"exists_nat_ge",
"PartialOrder",
"DistribLattice.toLattice",
"AddMonoidWit... | true |
Submonoid.closure_eq_one_union | Mathlib.Algebra.Group.Submonoid.Basic | [
"Iff.mpr",
"SetLike.mem_coe._simp_1",
"MulOne.toOne",
"HMul.hMul",
"congrArg",
"true_or",
"Submonoid.toSubsemigroup",
"PartialOrder.toPreorder",
"Subsemigroup.instPartialOrder",
"Subsemigroup.instMulMemClass",
"Preorder.toLE",
"Membership.mem",
"Set.instUnion",
"Eq.rec",
"Eq.mp",
"Set.... | true |
ZSpan.ceil | Mathlib.Algebra.Module.ZLattice.Basic | [
"NormedCommRing.toNormedRing",
"Finsupp.instFunLike",
"Submodule",
"instHSMul",
"Semiring.toModule",
"NormedRing.toRing",
"Finsupp.module",
"Finset.univ",
"NormedSpace",
"CommSemiring.toSemiring",
"AddCommGroup.toAddCommMonoid",
"Submodule.addCommMonoid",
"LinearOrder",
"NormedSpace.toModu... | true |
Mathlib.Meta.FunProp.Mor.isCoeFun | Mathlib.Tactic.FunProp.Mor | [
"Pure.pure",
"Lean.Meta.getCoeFnInfo?",
"Lean.Expr.getAppNumArgs'",
"_private.Mathlib.Tactic.FunProp.Mor.0.Mathlib.Meta.FunProp.Mor.isCoeFun.match_1",
"Lean.Meta.CoeFnInfo",
"ReaderT",
"Lean.Meta.State",
"instMonadLiftT",
"Lean.Expr.const?",
"Lean.Expr",
"Lean.Meta.MetaM",
"IO.RealWorld",
"E... | true |
eq_zero_of_sameRay_neg_smul_right | Mathlib.LinearAlgebra.Ray | [
"IsRightCancelAdd.addRightStrictMono_of_addRightMono",
"Iff.mpr",
"sub_pos",
"AddGroup.toSubtractionMonoid",
"IsDomain",
"False",
"CommRing",
"instHSMul",
"Preorder.toLT",
"NonUnitalCommRing.toNonUnitalNonAssocCommRing",
"HMul.hMul",
"AddLeftCancelSemigroup.toIsLeftCancelAdd",
"CommRing.toNo... | true |
SupHom.dual_comp | Mathlib.Order.Hom.Lattice | [
"OrderDual.instMinOfMax",
"Equiv.instEquivLike",
"Max",
"Equiv",
"InfHom",
"SupHom.dual",
"SupHom.comp",
"InfHom.comp",
"OrderDual",
"SupHom",
"Eq",
"DFunLike.coe",
"rfl",
"EquivLike.toFunLike"
] | true |
LocallyFiniteOrder.addMonoidHom._proof_1 | Mathlib.Algebra.Order.Monoid.LocallyFiniteOrder | [
"NegZeroClass.toNeg",
"sub_self",
"instReflLe",
"congrArg",
"Finset",
"LinearOrder",
"AddMonoid.toAddZeroClass",
"PartialOrder.toPreorder",
"AddGroupWithOne.toAddMonoidWithOne",
"HSub.hSub",
"Preorder.toLE",
"Std.le_refl._simp_1",
"AddCommGroup.toAddGroup",
"SemilatticeInf.toPartialOrder",... | false |
TopologicalSpace.Opens.mapComp_hom_app | Mathlib.Topology.Category.TopCat.Opens | [
"CategoryTheory.Functor",
"CategoryTheory.CategoryStruct.toQuiver",
"Quiver.Hom",
"TopologicalSpace.Opens.instPartialOrder",
"TopCat.instCategory",
"CategoryTheory.eqToHom",
"TopologicalSpace.Opens.mapComp",
"PartialOrder.toPreorder",
"CategoryTheory.Functor.category",
"CategoryTheory.Functor.comp... | true |
CentroidHom.centerToCentroid_apply | Mathlib.Algebra.Ring.CentroidHom | [
"HMul.hMul",
"NonUnitalSubsemiring.center",
"CentroidHom.centerToCentroid",
"Membership.mem",
"Subtype",
"NonUnitalSemiring.toNonUnitalNonAssocSemiring",
"NonUnitalRingHom.instFunLike",
"NonUnitalCommSemiring.toNonUnitalSemiring",
"Distrib.toMul",
"NonUnitalSubsemiring.center.instNonUnitalCommSemi... | true |
_private.Mathlib.Analysis.Complex.PhragmenLindelof.0.PhragmenLindelof.quadrant_II._simp_1_3 | Mathlib.Analysis.Complex.PhragmenLindelof | [
"AddGroup.toSubtractionMonoid",
"NegZeroClass.toNeg",
"AddMonoid.toAddZeroClass",
"AddZeroClass.toAddZero",
"SubtractionMonoid.toSubNegZeroMonoid",
"neg_lt_zero",
"SubNegZeroMonoid.toNegZeroClass",
"AddGroup",
"AddLeftStrictMono",
"AddGroup.toSubNegMonoid",
"LT.lt",
"propext",
"AddZero.toAdd... | false |
_private.Lean.Meta.Sym.AlphaShareBuilder.0.Lean.Expr.updateLetS!._sparseCasesOn_1 | Lean.Meta.Sym.AlphaShareBuilder | [
"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 |
CategoryTheory.Functor.preservesFiniteColimits_of_preservesHomology | Mathlib.Algebra.Homology.ShortComplex.ExactFunctor | [
"Eq.mpr",
"CategoryTheory.Functor",
"CategoryTheory.CategoryStruct.toQuiver",
"Quiver.Hom",
"CategoryTheory.Limits.WalkingParallelPair",
"congrArg",
"CategoryTheory.Limits.HasZeroObject.mk",
"CategoryTheory.Functor.Additive",
"CategoryTheory.Limits.hasColimitsOfShape_discrete",
"CategoryTheory.Fun... | true |
LinearMap.submoduleComap_apply_coe | Mathlib.Algebra.Module.Submodule.Map | [
"Submodule",
"Submodule.addCommMonoid",
"LinearMap.instFunLike",
"RingHom",
"Membership.mem",
"Subtype",
"Submodule.module",
"LinearMap",
"AddCommMonoid",
"Submodule.comap",
"Submodule.setLike",
"Semiring",
"Eq.refl",
"Module",
"Subtype.val",
"Semiring.toNonAssocSemiring",
"Eq",
"D... | true |
Profinite.NobelingProof.π | Mathlib.Topology.Category.Profinite.Nobeling.Basic | [
"Decidable",
"Profinite.NobelingProof.Proj",
"Bool",
"Set.image",
"Set"
] | true |
AlgebraicTopology.DoldKan.N₁_obj_X | Mathlib.AlgebraicTopology.DoldKan.FunctorN | [
"ChainComplex",
"HomologicalComplex.instCategory",
"Opposite",
"CategoryTheory.Idempotents.Karoubi",
"Nat.instOne",
"CategoryTheory.Functor.category",
"AddRightCancelSemigroup.toAddSemigroup",
"AddCancelMonoid.toAddRightCancelMonoid",
"Nat.instAddCancelCommMonoid",
"AlgebraicTopology.AlternatingFa... | true |
isSigmaCompact_iff_isSigmaCompact_univ | Mathlib.Topology.Compactness.SigmaCompact | [
"Eq.mpr",
"Set.image_univ",
"congrArg",
"Set.univ",
"Iff.rfl",
"IsSigmaCompact",
"Membership.mem",
"Set.Elem",
"id",
"Subtype",
"Subtype.range_coe",
"TopologicalSpace",
"Iff",
"propext",
"Set.image",
"instTopologicalSpaceSubtype",
"Set.range",
"Subtype.isSigmaCompact_iff",
"Subty... | true |
PowerBasis.finite | Mathlib.RingTheory.PowerBasis | [
"PowerBasis",
"CommRing",
"PowerBasis.dim",
"Ring.toNonAssocRing",
"CommSemiring.toSemiring",
"Algebra",
"Algebra.toModule",
"NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
"PowerBasis.basis",
"Finite.of_fintype",
"NonAssocRing.toNonUnitalNonAssocRing",
"Fin.fintype",
"NonUnitalNonAssoc... | true |
List.sum_le_sum | Mathlib.Algebra.Order.BigOperators.Group.List | [
"Eq.mpr",
"List.forall₂_map_right_iff",
"List.map",
"AddMonoid.toAddZeroClass",
"List.sum",
"AddLeftMono",
"List.forall₂_map_left_iff",
"Preorder.toLE",
"Membership.mem",
"AddRightMono",
"AddZeroClass.toAddZero",
"id",
"LE.le",
"List.Forall₂.sum_le_sum",
"List.forall₂_same",
"AddZero.t... | true |
Lean.PrettyPrinter.Formatter.checkNoWsBefore.formatter | Lean.PrettyPrinter.Formatter | [
"Lean.PrettyPrinter.Formatter",
"Lean.PrettyPrinter.Formatter.resetLeadWord"
] | true |
MeasureTheory.Lp.instNormedAddCommGroup._proof_5 | Mathlib.MeasureTheory.Function.LpSpace.Basic | [
"AddGroup.toSubtractionMonoid",
"Norm.norm",
"NegZeroClass.toNeg",
"Real",
"MeasureTheory.Measure",
"congrArg",
"PseudoMetricSpace.toUniformSpace",
"AddCommGroup.toAddGroup",
"Membership.mem",
"MeasureTheory.Lp.norm_neg",
"Subtype",
"SubtractionMonoid.toSubNegZeroMonoid",
"SubNegZeroMonoid.t... | false |
exists_pow_lt₀ | Mathlib.GroupTheory.ArchimedeanDensely | [
"CommMonoidWithZero.toCommMonoid",
"Units.val",
"GroupWithZero.toMonoidWithZero",
"LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero",
"Preorder.toLT",
"InvOneClass.toOne",
"DivisionCommMonoid.toDivisionMonoid",
"DivInvOneMonoid.toInvOneClass",
"congrArg",
"PartialOrder.toPreorder",... | true |
MvPolynomial.pderiv_C | Mathlib.Algebra.MvPolynomial.PDeriv | [
"Derivation",
"Finsupp.instAddZeroClass",
"Nat.instMulZeroClass",
"AddMonoidAlgebra.semiring",
"Semiring.toModule",
"AddMonoidAlgebra.addAddCommMonoid",
"CommSemiring.toSemiring",
"AddMonoid.toAddZeroClass",
"AddMonoidAlgebra.algebra",
"Finsupp.instAddMonoid",
"AddMonoidAlgebra.commSemiring",
... | true |
Std.Tactic.BVDecide.LRAT.Internal.Assignment.removeAssignment.eq_1 | Std.Tactic.BVDecide.LRAT.Internal.Assignment | [
"instDecidableEqBool",
"Bool.true",
"Std.Tactic.BVDecide.LRAT.Internal.Assignment.removeNegAssignment",
"Std.Tactic.BVDecide.LRAT.Internal.Assignment.removePosAssignment",
"Bool",
"Std.Tactic.BVDecide.LRAT.Internal.Assignment",
"Eq.refl",
"Std.Tactic.BVDecide.LRAT.Internal.Assignment.removeAssignment"... | true |
_private.Mathlib.Analysis.InnerProductSpace.Projection.Reflection.0.Submodule.«_aux_Mathlib_Analysis_InnerProductSpace_Projection_Reflection___macroRules__private_Mathlib_Analysis_InnerProductSpace_Projection_Reflection_0_Submodule_term⟪_,_⟫_1» | Mathlib.Analysis.InnerProductSpace.Projection.Reflection | [
"Pure.pure",
"Lean.TSyntax",
"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",
... | false |
_private.Mathlib.NumberTheory.Bernoulli.0.sum_bernoulli'._simp_1_1 | Mathlib.NumberTheory.Bernoulli | [
"Semigroup",
"Semigroup.toMul",
"HMul.hMul",
"mul_assoc",
"Eq.symm",
"Eq",
"instHMul"
] | false |
MeasureTheory.vaddInvariantMeasure_map_vadd | Mathlib.MeasureTheory.Group.Action | [
"MeasureTheory.Measure",
"MeasurableConstVAdd",
"VAddCommClass.vadd_comm",
"MeasureTheory.VAddInvariantMeasure",
"MeasureTheory.vaddInvariantMeasure_map",
"MeasurableConstVAdd.measurable_const_vadd",
"VAdd",
"HVAdd.hVAdd",
"MeasurableSpace",
"MeasureTheory.Measure.map",
"instHVAdd",
"VAddCommC... | true |
CategoryTheory.Limits.Types.coneOfSection | Mathlib.CategoryTheory.Limits.Types.Limits | [
"CategoryTheory.Functor",
"CategoryTheory.Limits.Cone",
"CategoryTheory.CategoryStruct.toQuiver",
"Quiver.Hom",
"CategoryTheory.Functor.category",
"Membership.mem",
"TypeCat.ofHom",
"CategoryTheory.Limits.Types.coneOfSection._proof_1",
"CategoryTheory.NatTrans.mk",
"PUnit",
"CategoryTheory.types... | true |
CategoryTheory.Iso.toIsometryEquiv_toFun | Mathlib.LinearAlgebra.QuadraticForm.QuadraticModuleCat | [
"CommRing",
"Semiring.toModule",
"CommSemiring.toSemiring",
"AddCommGroup.toAddCommMonoid",
"QuadraticMap.IsometryEquiv.instEquivLike",
"QuadraticMap.IsometryEquiv",
"QuadraticModuleCat.toModuleCat",
"QuadraticModuleCat",
"QuadraticModuleCat.form",
"CategoryTheory.Iso",
"CategoryTheory.Iso.toIso... | true |
StieltjesFunction.add_apply | Mathlib.MeasureTheory.Measure.Stieltjes | [
"Real",
"LinearOrder",
"StieltjesFunction.toFun",
"StieltjesFunction.instAddCommMonoid",
"Real.instAdd",
"TopologicalSpace",
"instHAdd",
"HAdd.hAdd",
"StieltjesFunction",
"AddCommSemigroup.toAddCommMagma",
"AddCommMonoid.toAddCommSemigroup",
"Eq",
"rfl",
"AddCommMagma.toAdd"
] | true |
Array.instLE | Init.Data.Array.Basic | [
"LE.le",
"Array.toList",
"LE",
"Array",
"List",
"LE.mk",
"List.instLE",
"LT"
] | true |
Nat.not_dvd_ordCompl | Mathlib.Data.Nat.Factorization.Basic | [
"Finsupp.instFunLike",
"Eq.mpr",
"Nat.instCanonicallyOrderedAdd",
"False",
"Nat.instMulZeroClass",
"Nat.instOrderedSub",
"instHSMul",
"Nat.Prime",
"Dvd.dvd",
"instHDiv",
"Finsupp.single_eq_same",
"LinearOrderedCommMonoidWithZero.toIsBotZeroClass",
"Nat.instOne",
"congrArg",
"instDistribS... | true |
MulLEAddHomClass.rec | Mathlib.Algebra.Order.Hom.Basic | [
"HMul.hMul",
"MulLEAddHomClass.mk",
"Mul",
"MulLEAddHomClass",
"LE.le",
"LE",
"instHAdd",
"HAdd.hAdd",
"DFunLike.coe",
"Add",
"FunLike",
"instHMul"
] | false |
Std.LawfulRightIdentity.mk | Init.Core | [
"outParam",
"Std.LawfulRightIdentity",
"Std.RightIdentity",
"Std.LawfulRightIdentity.mk",
"Eq"
] | true |
ChainComplex.of._proof_3 | Mathlib.Algebra.Homology.HomologicalComplex | [
"CategoryTheory.Limits.HasZeroMorphisms",
"dite_congr",
"One",
"instDecidableTrue",
"CategoryTheory.CategoryStruct.toQuiver",
"Quiver.Hom",
"congrArg",
"ChainComplex.of.d._proof_1",
"CategoryTheory.eqToHom",
"AddRightCancelSemigroup.toAddSemigroup",
"id",
"CategoryTheory.Limits.HasZeroMorphism... | false |
CategoryTheory.Functor.mapAction_obj_V | Mathlib.CategoryTheory.Action.Basic | [
"Monoid",
"CategoryTheory.Functor",
"CategoryTheory.Functor.mapAction",
"Action",
"Action.instCategory",
"Eq.refl",
"Action.V",
"Eq",
"CategoryTheory.Functor.obj",
"CategoryTheory.Category"
] | true |
Lean.Meta.Grind.setENode | Lean.Meta.Tactic.Grind.Types | [
"Lean.Meta.Grind.GrindM",
"Lean.Meta.Sym.ExprPtr.mk",
"Lean.Meta.Grind.GoalState.facts",
"Lean.Meta.Grind.Goal",
"Lean.Core.instMonadLiftIOCoreM",
"Lean.Meta.Grind.State",
"IO.instMonadLiftSTRealWorldBaseIO",
"ReaderT",
"modify",
"Lean.Meta.Grind.GoalState.nextDeclIdx",
"Lean.Meta.State",
"ins... | true |
CategoryTheory.SimplicialObject.Split.casesOn | Mathlib.AlgebraicTopology.SimplicialObject.Split | [
"CategoryTheory.SimplicialObject.Split.mk",
"CategoryTheory.SimplicialObject.Splitting",
"CategoryTheory.SimplicialObject.Split",
"CategoryTheory.Category",
"CategoryTheory.SimplicialObject.Split.rec",
"CategoryTheory.SimplicialObject"
] | false |
Turing.ToPartrec.Code.rec._@.Mathlib.Computability.TuringMachine.ToPartrec.3125930148._hygCtx._hyg.3 | Mathlib.Computability.TuringMachine.ToPartrec | [
"Turing.ToPartrec.Code.rec._@.Mathlib.Computability.TuringMachine.ToPartrec.3125930148._hygCtx._hyg.3",
"Turing.ToPartrec.Code.succ",
"Turing.ToPartrec.Code.tail",
"Turing.ToPartrec.Code.casesOn",
"Turing.ToPartrec.Code.comp",
"Turing.ToPartrec.Code.case",
"Turing.ToPartrec.Code.zero'",
"Turing.ToPart... | false |
List.foldr_range_eq_of_range_eq | Mathlib.Data.List.Lemmas | [
"Eq.ge",
"PartialOrder.toPreorder",
"SemilatticeInf.toPartialOrder",
"Eq.le",
"BiheytingAlgebra.toCoheytingAlgebra",
"Set.instAntisymmSubset",
"BooleanAlgebra.toBiheytingAlgebra",
"List",
"Set.instBooleanAlgebra",
"HasSubset.Subset.antisymm",
"CoheytingAlgebra.toGeneralizedCoheytingAlgebra",
"... | true |
ENat.mul_iInf' | Mathlib.Data.ENat.Lattice | [
"ENat.zero_ne_top._simp_1",
"Eq.mpr",
"False",
"iInf_of_empty",
"iInf",
"instCompleteLinearOrderENat",
"HMul.hMul",
"ite_eq_right_iff._simp_1",
"LinearOrder.toDecidableEq",
"CompleteLattice.toLattice",
"instTopENat",
"instLinearOrderENat",
"congrArg",
"CommSemiring.toSemiring",
"Complete... | true |
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