name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
Lean.Language.Lean.HeaderParsedState
Lean.Language.Lean.Types
[ "Lean.Language.Lean.HeaderParsedState.mk" ]
true
Std.ExtDTreeMap.ofList_singleton
Std.Data.ExtDTreeMap.Lemmas
[ "Std.ExtDTreeMap.insert", "Ordering", "Std.ExtDTreeMap.instEmptyCollection", "Std.TransCmp", "List.cons", "Std.ExtDTreeMap.ofList", "Std.ExtDTreeMap", "Sigma.mk", "EmptyCollection.emptyCollection", "Eq", "Sigma", "rfl", "List.nil" ]
true
NonUnitalSubalgebra.iSupLift._proof_6
Mathlib.Algebra.Algebra.NonUnitalSubalgebra
[ "MonoidHom.instFunLike", "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass", "NonUnitalSubalgebra", "instSMulOfMul", "NonUnitalSubalgebra.toNonUnitalNonAssocSemiring", "outParam", "MonoidHom", "Monoid.toMulOneClass", "congrArg", "NonUnitalSubalgebra.iSupLift._proof_4", "CommSemiring.toSem...
false
HasInfs.ctorIdx
Mathlib.Data.Set.Sups
[ "Nat", "HasInfs" ]
false
IsScalarTower.algebraMap_apply
Mathlib.Algebra.Algebra.Tower
[ "Eq.mpr", "Algebra.algebraMap", "congrArg", "CommSemiring.toSemiring", "IsScalarTower", "Algebra", "RingHom", "Algebra.toSMul", "id", "CommSemiring", "RingHom.comp", "RingHom.instFunLike", "IsScalarTower.algebraMap_eq", "Semiring", "RingHom.comp_apply", "Eq.refl", "Semiring.toNonAsso...
true
CategoryTheory.Pseudofunctor.CoGrothendieck.ι_map_fiber
Mathlib.CategoryTheory.FiberedCategory.Grothendieck
[ "Opposite", "CategoryTheory.LocallyDiscrete.mk", "CategoryTheory.Pseudofunctor.mapId", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.CategoryStruct.opposite", "Quiver.Hom.op", "CategoryTheory.locallyDiscreteBicategory", "CategoryTheory.Pseudofunctor.CoGrothendieck.Hom.fiber...
true
Std.TreeSet.isEmpty_toArray
Std.Data.TreeSet.Lemmas
[ "Std.TreeSet", "Std.TreeSet.isEmpty_toList", "Std.TreeSet.toList", "congrArg", "Std.TreeSet.isEmpty", "Ordering", "Array.isEmpty", "_private.Std.Data.TreeSet.Lemmas.0.Std.TreeSet.isEmpty_toArray._simp_1_1", "Std.TreeSet.toArray", "List.toArray", "Array", "List.isEmpty", "True", "List.isEmp...
true
List.dropSliceTR.go
Batteries.Data.List.Basic
[ "List.brecOn", "List.dropSliceTR.go._f", "Array", "List", "Nat" ]
true
Std.HashMap.mem_diff_iff
Std.Data.HashMap.Lemmas
[ "Membership.mem", "Std.HashMap", "LawfulHashable", "Std.DHashMap.mem_diff_iff", "SDiff.sdiff", "And", "Iff", "EquivBEq", "Hashable", "Std.HashMap.instSDiff", "Std.HashMap.inner", "BEq", "Not", "Std.HashMap.instMembership" ]
true
CategoryTheory.Adjunction.Triple.op_rightToLeft
Mathlib.CategoryTheory.Adjunction.Triple
[ "CategoryTheory.Functor.op", "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.NatIso.isIso_app_of_isIso", "CategoryTheory.IsIso", "Opposite", "Quiver.opposite", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.NatTrans.ext'", "Quiver.Hom", "Category...
true
MeasureTheory.Integrable.op_fst_snd
Mathlib.MeasureTheory.Integral.Prod
[ "Real.instIsOrderedRing", "Norm.norm", "SeminormedAddGroup.toNorm", "Eq.mpr", "le_refl", "False", "Real.partialOrder", "Real.instLE", "Semigroup.toMul", "Real", "ENNReal.ofNNReal", "Trans.trans", "MeasureTheory.Measure", "Preorder.toLT", "Continuous", "HMul.hMul", "eq_false", "_pri...
true
SchwartzMap.pairing
Mathlib.Analysis.Distribution.SchwartzSpace.Basic
[ "NormedCommRing.toNormedRing", "SchwartzMap.pairing._proof_1", "NormedCommRing.toSeminormedCommRing", "SchwartzMap.bilinLeftCLM._proof_7", "Real", "SchwartzMap.instContinuousSMul", "NormedRing.toRing", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "NormedSpace...
true
finprod_mem_inter_mulSupport_eq
Mathlib.Algebra.BigOperators.Finprod
[ "Eq.mpr", "MulOne.toOne", "Monoid.toMulOneClass", "congrArg", "Membership.mem", "id", "Set.instInter", "Inter.inter", "MulOneClass.toMulOne", "finprod", "CommMonoid.toMonoid", "Function.mulSupport", "Eq.refl", "Eq.symm", "finprod_mem_inter_mulSupport", "Eq", "CommMonoid", "Set.inst...
true
LocallyLipschitzOn.exists_lipschitzOnWith_of_compact
Mathlib.Topology.Algebra.MetricSpace.Lipschitz
[ "ENNReal.instCanonicallyOrderedAdd", "half_lt_self", "Filter.instMembership", "Mathlib.Tactic.Ring.Common.mul_pf_left", "Iff.mpr", "zero_le", "Real.instIsOrderedRing", "Mathlib.Tactic.Ring.Common.neg_zero", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "ENNReal.instIsOrderedRing", "NegZeroClass....
true
String.Slice.Pattern.ForwardSliceSearcher.emptyBefore.noConfusion
Init.Data.String.Pattern.String
[ "String.Slice.Pattern.ForwardSliceSearcher.emptyBefore", "String.Slice", "id", "heq_of_eq", "Eq.refl", "HEq", "String.Slice.Pos", "String.Slice.Pattern.ForwardSliceSearcher", "Eq", "String.Slice.Pattern.ForwardSliceSearcher.noConfusion" ]
false
_private.Mathlib.Data.Multiset.ZeroCons.0.Multiset.lt_singleton._simp_1_4
Mathlib.Data.Multiset.ZeroCons
[ "And", "Iff", "propext", "Eq", "and_iff_left_iff_imp" ]
false
Nat.multinomial
Mathlib.Data.Nat.Choose.Multinomial
[ "instHDiv", "Finset", "HDiv.hDiv", "Finset.prod", "Nat.factorial", "Nat", "Nat.instDiv", "Nat.instCommMonoid", "Nat.instAddCommMonoid", "Finset.sum" ]
true
AlternatingMap.domCoprod.summand_eq_zero_of_smul_invariant
Mathlib.LinearAlgebra.Alternating.DomCoprod
[ "AlternatingMap", "MonoidHom.range", "False", "Equiv.Perm.sumCongrHom", "DivInvMonoid.toInv", "instFintypeSum", "instHSMul", "MonoidHom.instFunLike", "Equiv.instEquivLike", "HMul.hMul", "Sum.ctorIdx", "Equiv.Perm.instInv", "DivInvOneMonoid.toInvOneClass", "Units.instSMulZeroClass", "Mono...
true
Subgroup.relIndex_comap_ne_zero
Mathlib.GroupTheory.Index
[ "Eq.mpr", "MonoidHom", "Subgroup.map", "Monoid.toMulOneClass", "congrArg", "Group", "id", "DivInvMonoid.toMonoid", "Subgroup", "Ne", "instOfNatNat", "Subgroup.relIndex", "Group.toDivInvMonoid", "MulOneClass.toMulOne", "Nat", "Subgroup.map_comap_le", "Subgroup.relIndex_comap", "OfNa...
true
MonObj.mopEquivCompForgetIso_hom_app_unmop
Mathlib.CategoryTheory.Monoidal.Opposite.Mon
[ "CategoryTheory.Functor", "CategoryTheory.MonoidalOpposite.unmop", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.MonoidalOpposite", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.CategoryStruct.id", "Ca...
true
DyckWord.nest._proof_1
Mathlib.Combinatorics.Enumerative.DyckWord
[ "instDecidableEqDyckStep", "False", "DyckWord.count_U_eq_count_D", "instLawfulBEq", "DyckStep.U", "congrArg", "and_self", "False.elim", "AddMonoid.toAddZeroClass", "List.count_cons_of_ne", "noConfusion_of_Nat", "Nat.instAddMonoid", "Membership.mem", "List.nodup_nil._simp_1", "DyckWord", ...
false
_private.Mathlib.AlgebraicTopology.FundamentalGroupoid.Basic.0.Path.Homotopy.trans_assoc_reparam._proof_1_20
Mathlib.AlgebraicTopology.FundamentalGroupoid.Basic
[ "Iff.mpr", "Real.partialOrder", "Real.instLE", "Real", "instHDiv", "HMul.hMul", "Real.instZero", "Real.instZeroLEOneClass", "congrArg", "Real.instDivInvMonoid", "Nat.instAtLeastTwoHAddOfNat", "AddGroupWithOne.toAddMonoidWithOne", "Preorder.toLE", "Path.Homotopy.transAssocReparamAux_mem_I",...
false
CategoryTheory.Functor.obj.σ_def_assoc
Mathlib.CategoryTheory.Monoidal.Mon
[ "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.addMonObjObj", "CategoryTheory.MonoidalCategory", "Eq.mp", "id", "CategoryTheory.AddMonObj.add", "Mathlib.Tactic.Reassoc.eq_whisker'", "Categor...
true
List.IsChain.below.casesOn
Batteries.Data.List.Basic
[ "List.IsChain.cons_cons", "List.IsChain.below", "List.IsChain", "List.IsChain.singleton", "List.IsChain.below.singleton", "List.cons", "List", "List.IsChain.below.rec", "List.IsChain.below.cons_cons", "List.IsChain.nil", "List.IsChain.below.nil", "List.nil" ]
false
MeasureTheory.IsAddFundamentalDomain.integrableOn_iff
Mathlib.MeasureTheory.Group.FundamentalDomain
[ "AddGroup.toSubtractionMonoid", "MeasureTheory.Measure", "MeasurableConstVAdd", "MeasureTheory.IsAddFundamentalDomain.aestronglyMeasurable_on_iff", "AddMonoid.toAddSemigroup", "NormedAddCommGroup.toMetricSpace", "MeasureTheory.VAddInvariantMeasure", "PseudoMetricSpace.toUniformSpace", "MeasureTheory...
true
SeparationQuotient.liftContinuousCommMonoidHom_mk
Mathlib.Topology.Algebra.SeparationQuotient.Hom
[ "Monoid.toMulOneClass", "MulOne.toMul", "TopologicalSpace", "MulOneClass.toMulOne", "ContinuousMul", "ContinuousMonoidHom.instFunLike", "SeparationQuotient.instMonoid", "CommMonoid.toMonoid", "SeparationQuotient", "SeparationQuotient.mk", "ContinuousMonoidHom", "instTopologicalSpaceSeparationQ...
true
_private.Mathlib.Algebra.Ring.Parity.0.Nat.odd_add'._proof_1_1
Mathlib.Algebra.Ring.Parity
[ "Lean.Grind.of_eq_eq_true", "Lean.Grind.eq_false_of_not_eq_true", "Int.Linear.eq_of_core", "Int.Linear.not_eq_norm_expr", "of_eq_false", "Lean.RArray.leaf", "Int.instDiv", "False", "Int.Nonneg.toPoly", "Int.Linear.le_coeff", "instHDiv", "Lean.Grind.not_not", "HMul.hMul", "Int.Linear.norm_l...
false
Lean.Lsp.WindowClientCapabilities.ctorIdx
Lean.Data.Lsp.Capabilities
[ "Nat", "Lean.Lsp.WindowClientCapabilities" ]
false
ModelWithCorners.prod._proof_9
Mathlib.Geometry.Manifold.IsManifold.Basic
[ "ModelWithCorners.continuous_invFun", "Continuous", "NormedSpace", "Continuous.prodMap", "ModelWithCorners.toPartialEquiv", "PseudoMetricSpace.toUniformSpace", "instTopologicalSpaceProd", "Prod.map", "SeminormedAddCommGroup.toSeminormedAddGroup", "TopologicalSpace", "ModelWithCorners", "Semino...
false
AddSubgroup.isAddCyclic_iff_exists_zmultiples_eq_top
Mathlib.GroupTheory.SpecificGroups.Cyclic.Basic
[ "Eq.mpr", "AddSubgroup.zsmul", "Iff.of_eq", "AddSubgroup.mem_zmultiples", "congrArg", "AddMonoidHom.range_eq_map", "AddMonoid.toAddZeroClass", "AddMonoidHom.range", "AddSubgroup.toAddGroup", "Membership.mem", "Exists", "Subtype.exists", "Eq.rec", "AddZeroClass.toAddZero", "AddSubgroup.ra...
true
ModularGroup.fdo
Mathlib.NumberTheory.Modular
[ "ModularGroup.fd._proof_1", "Real", "instHDiv", "Real.lattice", "UpperHalfPlane.coe", "abs", "Real.instDivInvMonoid", "setOf", "MonoidWithZeroHom.funLike", "Real.instLT", "Real.semiring", "HDiv.hDiv", "Complex.normSq", "Real.instAddGroup", "instMulZeroOneClassOfSemiring", "Real.instOne...
true
FreeAlgebra.ι_inj
Mathlib.Algebra.FreeAlgebra
[ "Nontrivial", "FreeAlgebra.ι", "Function.Injective.eq_iff", "FreeAlgebra.ι_injective", "FreeAlgebra", "CommSemiring", "Iff", "Eq" ]
true
Representation.LinearizeMonoidal.hint._@.Mathlib.RepresentationTheory.Action.2404471388._hygCtx._hyg.3
Mathlib.RepresentationTheory.Action
[ "Monoid", "CategoryTheory.typesCartesianMonoidalCategory", "Action.instMonoidalCategory", "CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory", "CategoryTheory.MonoidalCategoryStruct.tensorObj", "Action", "Action.instCategory", "CategoryTheory.types", "CategoryTheory.MonoidalCategory.to...
false
ConvexCone.instAddCommSemigroup._proof_2
Mathlib.Geometry.Convex.Cone.Basic
[ "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "ConvexCone.instSetLike", "AddZeroClass.toAddZero", "PartialOrder", "DistribSMul.toSMulZeroClass", "SetLike.coe_injective", "add_comm", "AddCommMonoid", "AddZero.toZero", "instHAdd", "SetLike.coe", "HAdd.hAdd", "ConvexCone", "...
false
Std.DHashMap.Internal.Raw₀.Equiv.diff_congr
Std.Data.DHashMap.Internal.RawLemmas
[ "Std.DHashMap.Raw.WF", "Eq.mpr", "Std.Internal.List.congr_filter_not_contains_map_fst_of_perm", "Bool.not", "Std.DHashMap.Internal.Raw.WF.out", "List.map", "List.contains", "Std.DHashMap.Raw", "List.Perm.congr_right", "id", "List.Perm", "Sigma.fst", "instOfNatNat", "Std.DHashMap.Internal.R...
true
Cardinal.instZero
Mathlib.SetTheory.Cardinal.Defs
[ "Cardinal", "Cardinal.lift", "Cardinal.mk", "instOfNatNat", "Nat", "Zero.mk", "OfNat.ofNat", "Fin", "Zero" ]
true
Std.TreeSet.Equiv.getGED_eq
Std.Data.TreeSet.Lemmas
[ "Std.TreeSet", "Std.TreeMap.Equiv.getKeyGED_eq", "Ordering", "Std.TreeSet.inner", "Std.TransCmp", "Unit", "Std.TreeSet.Equiv.inner", "Std.TreeSet.Equiv", "Std.TreeSet.getGED", "Eq" ]
true
HomologicalComplex.extend.homologyData._proof_2
Mathlib.Algebra.Homology.Embedding.ExtendHomology
[ "CategoryTheory.Category.assoc", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.ShortComplex.HomologyData.iso", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "HomologicalComplex", "Eq.rec", "CategoryTheory.ShortComplex.RightHomologyData.H", "ComplexShape.prev", "...
false
Turing.PartrecToTM2.trStmts₁.eq_4
Mathlib.Computability.TuringMachine.ToPartrec
[ "Turing.PartrecToTM2.trStmts₁", "Turing.PartrecToTM2.Γ'", "Finset", "Turing.PartrecToTM2.Λ'.instDecidableEq", "Turing.PartrecToTM2.Λ'", "Turing.PartrecToTM2.Λ'.clear", "Insert.insert", "Finset.instInsert", "Bool", "Eq.refl", "Turing.PartrecToTM2.K'", "Eq" ]
true
_private.Std.Data.DTreeMap.Internal.Zipper.0.Std.DTreeMap.Internal.Zipper.ordered_prependMap_done._simp_1_5
Std.Data.DTreeMap.Internal.Zipper
[ "List.Pairwise", "List.Pairwise.nil", "True", "eq_true", "Eq", "List.nil" ]
false
le_radius_cauchyPowerSeries
Mathlib.MeasureTheory.Integral.CircleIntegral
[ "Iff.mpr", "Real.instIsOrderedRing", "Norm.norm", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "InnerProductSpace.toNormedSpace", "mul_nonneg", "NormedCommRing.toSeminormedCommRing", "NonAssocSemiring.toAddCommMonoidWithOne", "le_refl", "Real.partialOrder", "Real", "ENNReal.ofNNReal", "DivI...
true
Ring.multichoose_succ_succ
Mathlib.RingTheory.Binomial
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "instHSMul", "Pow", "congrArg", "DistribMulAction.toDistribSMul", "Nat.instMonoid", "AddMonoid.toAddZeroClass", "ascPochhammer", "AddMonoid.toNSMul", "Module.toMulActionWithZero", "AddZeroClass.toAddZero", "id", "Distrib.toAdd", "Distr...
true
Equiv.addMonoidWithOne._proof_3
Mathlib.Algebra.Ring.TransferInstance
[ "Equiv.instEquivLike", "AddMonoid.toZero", "Equiv.addMonoid", "Equiv.addMonoidWithOne._proof_1", "Equiv", "AddMonoidWithOne.toNatCast", "instOfNatNat", "Nat.cast", "Nat", "Zero.toOfNat0", "Equiv.injective", "AddMonoidWithOne.toAddMonoid", "Equiv.symm", "OfNat.ofNat", "Eq", "DFunLike.co...
false
_private.Mathlib.RingTheory.Spectrum.Prime.Topology.0.PrimeSpectrum.«termZ(_)»
Mathlib.RingTheory.Spectrum.Prime.Topology
[ "Lean.Name.mkNum", "Lean.Name.mkStr", "instOfNatNat", "Lean.ParserDescr.binary", "Lean.Name.anonymous", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "Lean.ParserDescr.symbol", "Lean.ParserDescr.cat", "OfNat.ofNat", "Lean.Name.mkStr1" ]
true
Vector.flatten.eq_1
Init.Data.Vector.Lemmas
[ "HMul.hMul", "Array.flatten", "Vector", "Array.map", "instMulNat", "Array", "Vector.flatten._proof_1", "Vector.mk", "Nat", "Eq.refl", "Eq", "Vector.toArray", "Vector.flatten", "instHMul" ]
true
_private.Lean.Elab.Command.WithWeakNamespace.0.Lean.Elab.Command.resolveNamespaceRelative._unsafe_rec
Lean.Elab.Command.WithWeakNamespace
[ "Lean.Name.mkNum", "String", "Lean.Name.mkStr", "_private.Lean.Elab.Command.WithWeakNamespace.0.Lean.Elab.Command.resolveNamespaceRelative.match_1", "Lean.Name.anonymous", "Unit", "Nat", "_private.Lean.Elab.Command.WithWeakNamespace.0.Lean.Elab.Command.resolveNamespaceRelative._unsafe_rec", "Lean.Na...
false
CategoryTheory.Limits.endFunctor._proof_4
Mathlib.CategoryTheory.Limits.Shapes.End
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Limits.end_.map_comp", "CategoryTheory.Limits.end_.map", "True", "eq_self", "CategoryTheory.CategoryStruct.comp", "of_eq_true", "Catego...
false
_private.Init.Data.Range.Polymorphic.Lemmas.0.Std.Iter.toArray_eq_match_step.match_1.eq_1
Init.Data.Range.Polymorphic.Lemmas
[ "Std.IterStep", "Std.IterStep.skip", "Std.Iter.toArray_eq_match_step.match_1", "Unit", "Std.Iter", "Std.IterStep.yield", "Std.IterStep.done", "Eq.refl", "Eq" ]
true
MeasureTheory.integrable_norm_rpow_iff
Mathlib.MeasureTheory.Function.L1Space.Integrable
[ "Norm.norm", "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "Real.instPow", "Real", "MeasureTheory.Measure", "instHDiv", "congrArg", "Iff.rfl", "PseudoMetricSpace.toUniformSpace", "MeasureTheory.Integrable", "SeminormedAddGroup.toContinuousENorm", "id", "HDiv.hDiv", "Ne", "MeasureThe...
true
_private.Init.Data.UInt.Bitwise.0.UInt64.toUInt16_shiftLeft._simp_1_1
Init.Data.UInt.Bitwise
[ "UInt64", "instLTUInt64", "UInt64.toNat", "Nat", "LT.lt", "UInt64.lt_iff_toNat_lt", "propext", "instLTNat", "Eq" ]
false
_private.Mathlib.CategoryTheory.FiberedCategory.Cocartesian.0.CategoryTheory.Functor.IsStronglyCocartesian.comp.match_1
Mathlib.CategoryTheory.FiberedCategory.Cocartesian
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.IsHomLift", "And.casesOn", "And", "And.intro", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "Eq", "CategoryTheory.Functor.obj", "CategoryTheory.Categor...
false
Algebra.TensorProduct.lmul''_eq_lid_comp_mapOfCompatibleSMul
Mathlib.RingTheory.TensorProduct.Maps
[ "IsScalarTower.to_smulCommClass'", "Algebra.to_smulCommClass", "Semiring.toModule", "IsScalarTower.right", "AlgEquiv.toAlgHom", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "Algebra", "Algebra.toSMul", "Algebra.toModule", "Algebra.id", "AlgHom.ext", "Algebra.TensorProduct.leftAlg...
true
_private.Mathlib.Algebra.BigOperators.Intervals.0.Finset.sum_Ico_Ico_comm._simp_1_1
Mathlib.Algebra.BigOperators.Intervals
[ "Preorder.toLT", "Finset", "Preorder.toLE", "Membership.mem", "Finset.Ico", "LE.le", "And", "Finset.instSetLike", "LT.lt", "propext", "LocallyFiniteOrder", "Eq", "SetLike.instMembership", "Preorder", "Finset.mem_Ico" ]
false
Mathlib.Tactic.Sat.buildReify
Mathlib.Tactic.Sat.FromLRAT
[ "Pure.pure", "Inhabited.default", "Lean.mkSort", "instForInOfForIn'", "Monad.toApplicative", "Lean.mkBVar", "HSub.hSub", "Lean.Name.mkStr3", "MProd.snd", "inferInstance", "Lean.mkApp2", "Lean.Expr", "MProd.mk", "Prod.mk", "MProd.fst", "instSubNat", "ForIn.forIn", "Mathlib.Tactic.Sa...
true
CategoryTheory.Abelian.SpectralObject.dHomologyIso._proof_12
Mathlib.Algebra.Homology.SpectralObject.Homology
[ "Int", "autoParam", "instHAdd", "instOfNat", "HAdd.hAdd", "CategoryTheory.Abelian.SpectralObject.dHomologyIso._auto_3", "Int.instAdd", "OfNat.ofNat", "Eq", "_private.Mathlib.Algebra.Homology.SpectralObject.Homology.0.CategoryTheory.Abelian.SpectralObject.dHomologyIso._proof_11" ]
false
_private.Mathlib.Analysis.Asymptotics.ExpGrowth.0.ExpGrowth.expGrowthInf_le_of_eventually_le._simp_1_1
Mathlib.Analysis.Asymptotics.ExpGrowth
[ "Pi.instZero", "Pi.zero_def", "Zero.toOfNat0", "OfNat.ofNat", "Eq.symm", "Eq", "Zero" ]
false
Polynomial.instCommRingSplittingField._aux_13
Mathlib.FieldTheory.SplittingField.Construction
[ "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "MvPolynomial.aeval", "AddMonoidAlgebra.commRing", "CommSemiring.toSemiring", "AddMonoidAlgebra.algebra", "Finsupp.instAddMonoid", "Polynomial.SplittingField", "Nat.instAddMonoid", "RingHom", "Algebra.id", "id", "Polynomial.SplittingFieldA...
false
CategoryTheory.Limits.PullbackCone.mkSelfIsLimit
Mathlib.CategoryTheory.Limits.Shapes.Pullback.PullbackCone
[ "CategoryTheory.Limits.PullbackCone.condition", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WidePullbackShape.category", "CategoryTheory.Limits.PullbackCone.fst", "CategoryTheory.Limits.Cone.pt", "CategoryTheory.Limits.WalkingPair", "CategoryTheory.Limits.PullbackCon...
true
FintypeCatDiscrete.instDiscreteTopologyObjFinite
Mathlib.Topology.Category.FinTopCat
[ "DiscreteTopology", "Finite", "FintypeCat", "FintypeCatDiscrete.instTopologicalSpaceObjFinite", "CategoryTheory.ObjectProperty.FullSubcategory.obj", "TopologicalSpace", "DiscreteTopology.mk", "CategoryTheory.types", "rfl" ]
true
Int32.ofIntLE_iSizeToInt
Init.Data.SInt.Lemmas
[ "Int32.minValue", "Int32.maxValue", "Int", "LE.le", "Int32.toInt", "ISize.toInt32", "Int32.ofIntLE", "ISize", "Eq", "rfl", "Int32", "Int.instLEInt", "ISize.toInt" ]
true
Int.ModEq
Mathlib.Data.Int.ModEq
[ "instHMod", "Int", "HMod.hMod", "Int.instMod", "Eq" ]
true
_private.Std.Internal.Http.Data.URI.Basic.0.Std.Http.URI.Query.formatQueryParam.match_1
Std.Internal.Http.Data.URI.Basic
[ "Unit.unit", "Option.casesOn", "Option.some", "Option.none", "Unit", "Std.Http.URI.EncodedQueryParam", "Option" ]
false
SetLike.gring._proof_6
Mathlib.Algebra.DirectSum.Internal
[ "SetLike.intCast_mem_graded", "SetLike", "SetLike.gring._proof_1", "Int.cast", "NegZeroClass.toNeg", "SetLike.gring._proof_5", "AddGroupWithOne.toAddGroup", "AddMonoid.toAddZeroClass", "AddCommGroup.toAddGroup", "Membership.mem", "AddZeroClass.toAddZero", "AddSubgroupClass.toAddCommGroup", "...
false
Lean.Lsp.LeanDidOpenTextDocumentParams.mk.sizeOf_spec
Lean.Data.Lsp.Extra
[ "Lean.Lsp.LeanDidOpenTextDocumentParams._sizeOf_inst", "Lean.Lsp.DidOpenTextDocumentParams", "Option._sizeOf_inst", "Lean.Lsp.LeanDidOpenTextDocumentParams", "Lean.Lsp.DidOpenTextDocumentParams._sizeOf_inst", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Lean.Lsp.DependencyBuildMode._sizeOf_inst", "Na...
true
CategoryTheory.Functor.corepresentableByCompCoyonedaObjOfIsColimit._proof_1
Mathlib.CategoryTheory.Adjunction.PartialAdjoint
[ "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.Functor.partialLeftAdjointObj", "CategoryTheory.Limits.Cocone", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ObjectProperty.ι", "CategoryTheory.Funct...
false
BitVec.ofFin_natCast
Init.Data.BitVec.Lemmas
[ "instPowNat", "Nat.instNeZeroHPow", "BitVec.ofFin", "BitVec", "instOfNatNat", "Nat.cast", "instNatPowNat", "HPow.hPow", "Nat.instNeZeroSucc", "Nat", "Eq.refl", "Fin.NatCast.instNatCast", "BitVec.instNatCast", "instHPow", "OfNat.ofNat", "Fin", "Eq" ]
true
toIocMod.congr_simp
Mathlib.Algebra.Order.ToIntervalMod
[ "Preorder.toLT", "AddCommGroup.toAddCommMonoid", "LinearOrder", "PartialOrder.toPreorder", "SemilatticeInf.toPartialOrder", "Eq.rec", "AddCommGroup", "DistribLattice.toLattice", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "SubtractionCommMonoid.toSubtractionMonoid"...
true
PresheafOfModules.whiskerRight_app
Mathlib.Algebra.Category.ModuleCat.Presheaf.Monoidal
[ "CategoryTheory.Functor", "Opposite", "CommRingCat.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "ModuleCat", "CommSemiring.toSemiring", "CommRingCat", "CommRingCat.instConcreteCategoryRingHomCarrier", "RingCat.ring", "CategoryTheory.Functor.comp", "RingHom", "PresheafOfM...
true
Std.LinearPreorderPackage.ofOrd
Init.Data.Order.PackageFactories
[ "Std.LawfulOrderOrd", "Std.LinearPreorderPackage.ofOrd._proof_2", "Ord", "Std.Packages.LinearPreorderOfOrdArgs.decidableLT", "Std.LinearPreorderPackage.ofOrd._proof_3", "Std.PreorderPackage.mk", "Std.Packages.LinearPreorderOfOrdArgs.beq", "Std.Packages.LinearPreorderOfOrdArgs.decidableLE", "Std.Line...
true
Function.iterate_le_id_of_le_id
Mathlib.Order.Iterate
[ "Function.iterate_id", "congrArg", "Preorder.toLE", "monotone_id", "Eq.mp", "id", "LE.le", "Nat.iterate", "Pi.hasLe", "Nat", "Monotone.le_iterate_of_le", "congrFun'", "Preorder" ]
true
Order.Frame.mk
Mathlib.Order.CompleteBooleanAlgebra
[ "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "Compl.compl", "OrderBot.toBot", "HImp", "PartialOrder.toPreorder", "Preorder.toLE", "CompleteLattice.toBoundedOrder", "Bot.bot", "SemilatticeInf.toMin", "LE.le", "SemilatticeInf.mk", "Iff", "BoundedOrder.toOrderBot", "Compl", "L...
true
_private.Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Formula.0.WeierstrassCurve.Jacobian.dblU_smul._simp_1_1
Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Formula
[ "CommRing", "instHSMul", "HMul.hMul", "CommSemiring.toSemiring", "Fin.instOfNat", "instOfNatNat", "instDistribOfSemiring", "Monoid.toPow", "CommRing.toCommSemiring", "HPow.hPow", "WeierstrassCurve.Jacobian.instSMulForallFinOfNatNat", "Distrib.toMul", "Nat.instNeZeroSucc", "Nat", "Semirin...
false
Std.Rci.HasRcoIntersection.recOn
Init.Data.Range.Polymorphic.PRange
[ "Std.Rco", "Std.Rci.HasRcoIntersection.mk", "Std.Rci", "Std.Rci.HasRcoIntersection.rec", "Std.Rci.HasRcoIntersection" ]
false
UInt32.neg_mul
Init.Data.UInt.Lemmas
[ "UInt32.toBitVec", "HMul.hMul", "BitVec.neg_mul", "BitVec", "instMulUInt32", "instOfNatNat", "instNegUInt32", "UInt32.toBitVec_inj", "Nat", "Iff.mp", "UInt32", "OfNat.ofNat", "Eq", "Neg.neg", "instHMul" ]
true
_private.Mathlib.Tactic.Peel.0.Mathlib.Tactic.Peel.peelCore._sparseCasesOn_3
Mathlib.Tactic.Peel
[ "Lean.Name.rec", "Nat.ne_of_beq_eq_false", "String", "Nat.shiftRight", "Nat.hasNotBit", "instOfNatNat", "Lean.Name.num", "Lean.Name.ctorIdx", "Lean.Name.str", "Lean.Name.anonymous", "Nat.land", "Nat", "Bool", "Lean.Name", "Eq.refl", "OfNat.ofNat", "Bool.false" ]
false
Subgroup.smul_mem_pointwise_smul
Mathlib.Algebra.Group.Subgroup.Pointwise
[ "Monoid", "instHSMul", "Group", "Membership.mem", "DivInvMonoid.toMonoid", "Subgroup", "Group.toDivInvMonoid", "SetLike.coe", "Monoid.toSemigroup", "Subgroup.pointwiseMulAction", "MulDistribMulAction.toMulAction", "HSMul.hSMul", "SemigroupAction.toSMul", "MulAction.toSemigroupAction", "M...
true
_private.Mathlib.Data.Vector3.0.exists_vector_succ.match_1_3
Mathlib.Data.Vector3
[ "Exists", "Vector3.cons", "Vector3", "Exists.casesOn", "Nat", "Exists.intro", "Nat.succ" ]
false
RootPairing.pairing_one_four_iff
Mathlib.LinearAlgebra.RootSystem.Reduced
[ "IsDomain", "RootPairing.pairing", "CommRing", "instHSMul", "IsDomain.to_noZeroDivisors", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "CommRing.toNonUnitalCommRing", "CharZero.NeZero.two", "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors", "CommSemiring.toSemiring", "...
true
_private.Mathlib.CategoryTheory.WithTerminal.Basic.0.CategoryTheory.WithTerminal.widePullbackShapeEquivObj._proof_2
Mathlib.CategoryTheory.WithTerminal.Basic
[ "CategoryTheory.Limits.WidePullbackShape", "_private.Mathlib.CategoryTheory.WithTerminal.Basic.0.CategoryTheory.WithTerminal.widePullbackShapeEquivObj.match_3", "Option.some", "CategoryTheory.WithTerminal", "_private.Mathlib.CategoryTheory.WithTerminal.Basic.0.CategoryTheory.WithTerminal.widePullbackShapeEq...
false
Array.binInsert
Init.Data.Array.BinSearch
[ "Pure.pure", "Monad.toApplicative", "Id.run", "Id", "Applicative.toPure", "Array", "Unit", "Bool", "Array.binInsertM", "Id.instMonad" ]
true
Nat.mul_div_le_mul_div_assoc
Init.Data.Nat.Lemmas
[ "Iff.mpr", "Eq.mpr", "instHDiv", "HMul.hMul", "Nat.div_mul_le_self", "congrArg", "Std.IsLinearPreorder.toIsPreorder", "Std.instReflLeOfIsPreorder", "Std.le_refl._simp_1", "id", "HDiv.hDiv", "Nat.mul_le_mul_left", "instMulNat", "instOfNatNat", "LE.le", "instLENat", "Nat.mul_assoc", ...
true
_private.Lean.Meta.Tactic.Grind.Arith.Cutsat.Util.0.Int.Linear.Poly.isZero._sparseCasesOn_1
Lean.Meta.Tactic.Grind.Arith.Cutsat.Util
[ "Nat.ne_of_beq_eq_false", "Nat.shiftRight", "Int.Linear.Poly.rec", "Nat.hasNotBit", "instOfNatNat", "Int", "Int.Linear.Var", "Int.Linear.Poly.num", "Int.Linear.Poly.add", "Nat.land", "Int.Linear.Poly.ctorIdx", "Nat", "Bool", "Eq.refl", "OfNat.ofNat", "Bool.false", "Int.Linear.Poly" ]
false
LieAlgebra.IsKilling.rootSystem
Mathlib.Algebra.Lie.Weights.RootSystem
[ "LieAlgebra.toModule", "LieSubalgebra.lieAlgebra", "LinearMap.id", "Algebra.to_smulCommClass", "LieAlgebra.IsKilling.rootSystem._proof_2", "Semiring.toModule", "instSMulOfMul", "LieAlgebra.IsKilling.chainLength._proof_2", "LieAlgebra.IsKilling", "LieRing.toAddCommGroup", "LieAlgebra.IsKilling.ro...
true
_private.Lean.Compiler.LCNF.ExpandResetReuse.0.Lean.Compiler.LCNF.eraseProjIncFor._sparseCasesOn_5
Lean.Compiler.LCNF.ExpandResetReuse
[ "Lean.Compiler.LCNF.CodeDecl.setTag", "Lean.Compiler.LCNF.Arg", "Lean.Compiler.LCNF.CodeDecl.dec", "Nat.ne_of_beq_eq_false", "Nat.shiftRight", "Lean.Expr", "Lean.Compiler.LCNF.FunDecl", "Lean.Compiler.LCNF.CodeDecl.ctorIdx", "Lean.FVarId", "Nat.hasNotBit", "instOfNatNat", "Lean.Compiler.LCNF.P...
false
Subalgebra.le_topologicalClosure
Mathlib.Topology.Algebra.Algebra
[ "Subalgebra.instSetLike", "subset_closure", "PartialOrder.toPreorder", "Algebra", "Preorder.toLE", "LE.le", "CommSemiring", "Subalgebra.topologicalClosure", "TopologicalSpace", "SetLike.coe", "Subalgebra.instPartialOrder", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "Semiring", "IsSemi...
true
AddGrpCat.toGrp_obj_coe
Mathlib.Algebra.Category.Grp.EquivalenceGroupAddGroup
[ "GrpCat", "AddGrpCat.instCategory", "AddGrpCat", "Multiplicative", "GrpCat.instCategory", "AddGrpCat.carrier", "Eq.refl", "GrpCat.carrier", "AddGrpCat.toGrp", "Eq", "CategoryTheory.Functor.obj" ]
true
_private.Mathlib.Data.Bool.Count.0.List.IsChain.count_not_le_count_add_one._proof_1_13
Mathlib.Data.Bool.Count
[ "Bool.not", "Lean.Grind.Nat.lt_eq", "instDecidableEqBool", "instOfNatNat", "LE.le", "instLENat", "List.cons", "List", "Nat", "List.filter", "LT.lt", "Eq.substr", "Bool", "instLTNat", "OfNat.ofNat", "Decidable.decide", "Eq", "List.length" ]
false
Module.Relations.instAddCommGroupQuotient._proof_20
Mathlib.Algebra.Module.Presentation.Basic
[ "Semiring.toModule", "Finsupp.module", "AddMonoid.toAddSemigroup", "Module.Relations.instAddCommGroupQuotient._proof_11", "Ring.toNonAssocRing", "Module.Relations.Quotient", "Add.mk", "Module.Relations.instAddCommGroupQuotient._aux_1", "AddMonoid.mk", "Module.Relations.instAddCommGroupQuotient._au...
false
Rat.zpow_add_one
Init.Data.Rat.Lemmas
[ "Rat.instOfNat", "Eq.mpr", "Rat.inv_mul_cancel", "Rat.instMul", "Rat.mul_inv_cancel", "HMul.hMul", "congrArg", "Rat.zpow_one", "Rat", "Rat.mul_comm", "Int.casesOn", "Rat.instPowNat", "id", "Rat.zpow_zero", "Int.instNegInt", "Ne", "instOfNatNat", "Int", "Nat.cast", "Nat.casesAux...
true
Real.one_div_sub_pow_hasFPowerSeriesOnBall_zero
Mathlib.Analysis.Analytic.Binomial
[ "instInnerProductSpaceRealComplex", "Eq.mpr", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "NonAssocSemiring.toAddCommMonoidWithOne", "MulOne.toOne", "Real", "ENNReal.ofNNReal", "Algebra.to_smulCommClass", "DivInvMonoid.toInv", "instHSMul", "ContinuousLinearMap.map...
true
Std.ExtTreeSet.isNone_min?_eq_isEmpty
Std.Data.ExtTreeSet.Lemmas
[ "Option.isNone", "Std.ExtTreeSet.min?", "Std.ExtTreeSet.isEmpty", "Ordering", "Std.ExtTreeSet.inner", "Std.TransCmp", "Unit", "Std.ExtTreeMap.isNone_minKey?_eq_isEmpty", "Std.ExtTreeSet", "Bool", "Eq" ]
true
Int.ceil_le_ceil
Mathlib.Algebra.Order.Floor.Ring
[ "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "Int", "LE.le", "Int.ceil_mono", "Int.ceil", "FloorRing", "Ring", "instDistribLatticeOfLinearOrder", "Int.instLEInt", "Lattice.toSemilatticeInf" ]
true
Nat.prime_eleven
Mathlib.Data.Nat.Prime.Defs
[ "Nat.Prime", "of_decide_eq_true", "id", "instOfNatNat", "Bool.true", "Nat", "Bool", "Eq.refl", "OfNat.ofNat", "Decidable.decide", "Eq", "Nat.decidablePrime" ]
true
Finset.subset_univ_image_iff
Mathlib.Data.Finset.Image
[ "Finset.univ", "congrArg", "Finset.subset_univ._simp_1", "Finset", "Exists", "HasSubset.Subset", "iff_self", "funext", "And", "Iff", "Fintype", "_private.Mathlib.Data.Finset.Image.0.Finset.subset_univ_image_iff._simp_1_1", "True", "Finset.instHasSubset", "of_eq_true", "congrFun'", "E...
true
SupHom.const
Mathlib.Order.Hom.Lattice
[ "SemilatticeSup.toMax", "Max", "SupHom.const._proof_1", "SupHom", "SemilatticeSup", "SupHom.mk" ]
true
Lean.Meta.Grind.GoalState.mk.inj
Lean.Meta.Tactic.Grind.Types
[ "Lean.PHashMap", "Lean.Meta.Grind.GoalState", "Lean.instBEqHeadIndex", "Lean.Meta.Grind.EMatch.State", "Lean.PArray", "Lean.Expr", "Lean.Meta.Grind.ParentMap", "Lean.PHashSet", "Lean.Meta.Grind.Injective.State", "Lean.Meta.Grind.NewFact", "Lean.Meta.Grind.CongrTable", "Array", "Lean.instHash...
true
AddHom.comp_assoc
Mathlib.Algebra.Group.Hom.Defs
[ "AddHom", "AddHom.comp", "Eq", "Add", "rfl" ]
true
AddSubsemigroup.notMem_of_notMem_closure
Mathlib.Algebra.Group.Subsemigroup.Basic
[ "AddSubsemigroup.instSetLike", "Membership.mem", "AddSubsemigroup.subset_closure", "AddSubsemigroup.closure", "AddSubsemigroup", "Set.instMembership", "Not", "SetLike.instMembership", "Add", "Set" ]
true
SemimoduleCat.Hom.instModule
Mathlib.Algebra.Category.ModuleCat.Semi
[ "SemimoduleCat.Hom.instModule._proof_1", "SemimoduleCat.isModule", "SemimoduleCat.moduleCategory", "SemimoduleCat.instSMulHom", "SemimoduleCat.instAddCommMonoidHom", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "SemimoduleCat.isAddCommMonoid", "DistribMulAction.toDistribSMul", "AddMonoi...
true
CategoryTheory.MonoidalCategory.MonoidalRightAction.isIso_actionHom
Mathlib.CategoryTheory.Monoidal.Action.Basic
[ "CategoryTheory.IsIso", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.MonoidalCategory.MonoidalRightAction.actionHom_id", "Quiver.Hom", "congrArg", "and_self", "CategoryTheory.MonoidalCategory", "CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionObj", "CategoryTheory.IsIso....
true