name
stringlengths
2
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module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
Std.ExtDHashMap.Const.get?_filterMap
Std.Data.ExtDHashMap.Lemmas
[ "Iff.mpr", "Std.ExtDHashMap.instMembershipOfEquivBEqOfLawfulHashable", "Option.some", "Membership.mem", "Std.ExtDHashMap.inductionOn", "Std.ExtDHashMap.getKey", "LawfulHashable", "Bool.true", "EquivBEq", "Std.DHashMap.Const.get?_filterMap", "Option.isSome_of_eq_some", "Std.ExtDHashMap", "Boo...
true
Vector.toList_map
Init.Data.Vector.Lemmas
[ "Vector", "congrArg", "List.map", "Array.toList", "Vector.map", "List", "Nat", "True", "eq_self", "of_eq_true", "Array.toList_map", "congrFun'", "Vector.toList", "Eq", "Vector.toArray", "Eq.trans" ]
true
Option.min_eq_some_iff._simp_1
Init.Data.Option.Lemmas
[ "Option.min_eq_some_iff", "Option.some", "Exists", "Option.instMin", "Min", "And", "propext", "Eq", "Min.min", "Option" ]
false
fourierSubalgebra_coe
Mathlib.Analysis.Fourier.AddCircle
[ "NormedCommRing.toSeminormedCommRing", "Submodule", "MulOne.toOne", "Real", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "HMul.hMul", "StarSubalgebra.toSubalgebra", "Complex.commRing", "IsTopologicalRing.toIsTopologicalSemiring", "ContinuousMap.instStarModule", "CommSe...
true
AlgebraicGeometry.Spec.map_surjective
Mathlib.AlgebraicGeometry.GammaSpecAdjunction
[ "AlgebraicGeometry.Spec", "AlgebraicGeometry.Scheme", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CommRingCat", "AlgebraicGeometry.Spec.map", "CommRingCat.instCategory", "True", "eq_self", "Exists.intro", "of_eq_true", "CategoryTheory.Category.toCategoryStruct", "A...
true
FreeMonoid.map._proof_2
Mathlib.Algebra.FreeMonoid.Basic
[ "FreeMonoid", "Equiv.instEquivLike", "List.map", "Equiv", "instHAppendOfAppend", "List", "FreeMonoid.toList", "List.map_append", "List.instAppend", "Eq", "DFunLike.coe", "HAppend.hAppend", "EquivLike.toFunLike" ]
false
Std.CloseableChannel.Error.alreadyClosed
Std.Sync.Channel
[ "Std.CloseableChannel.Error.alreadyClosed", "Std.CloseableChannel.Error" ]
true
_private.Mathlib.Analysis.Analytic.Within.0.hasFPowerSeriesWithinAt_iff_exists_hasFPowerSeriesAt._simp_1_10
Mathlib.Analysis.Analytic.Within
[ "Preorder.toLT", "LinearOrder", "PartialOrder.toPreorder", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "SemilatticeInf.toMin", "And", "LT.lt", "propext", "Eq", "instDistribLatticeOfLinearOrder", "Min.min", "Lattice.toSemilatticeInf", "lt_min_iff" ]
false
MeasureTheory.Lp.coe_posPart._simp_1
Mathlib.MeasureTheory.Function.LpSpace.Basic
[ "Real", "MeasureTheory.Measure", "Real.lattice", "Real.instZero", "instHasSolidNormReal", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "Membership.mem", "Subtype", "Real.normedAddCommGroup", "MeasureTheory.Lp", "MeasureTheory.AEEqFun", "AddSubgroup", "MeasurableSpace", ...
false
CategoryTheory.mono_iff_injective
Mathlib.CategoryTheory.Types.Basic
[ "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ConcreteCategory.hom", "TypeCat.instFunLikeFun", "_private.Mathlib.CategoryTheory.Types.Basic.0.CategoryTheory.mono_iff_injective._simp_1_1", "iff_self", "Iff", "TypeCat.Fun", "True", "Ca...
true
ENNReal.tendsto_nat_tsum
Mathlib.Topology.Algebra.InfiniteSum.ENNReal
[ "Eq.mpr", "ENNReal.instAddCommMonoid", "congrArg", "nhds", "ENNReal.summable", "id", "Finset.range", "Filter.atTop", "Summable.hasSum", "Filter.Tendsto", "tsum", "Nat.instPreorder", "HasSum", "ENNReal.hasSum_iff_tendsto_nat", "Nat", "ENNReal", "propext", "ENNReal.instTopologicalSpa...
true
Std.DTreeMap.Internal.Impl.getKey_insertMany!_list_of_mem
Std.Data.DTreeMap.Internal.Lemmas
[ "Std.DTreeMap.Internal.Impl.SizedBalancedTree.impl", "List.Pairwise", "Ord", "congrArg", "instForInOfForIn'", "Std.DTreeMap.Internal.Impl.insert!", "Std.DTreeMap.Internal.Impl.getKey", "List.map", "Std.TransOrd", "Std.DTreeMap.Internal.Impl.insertMany_eq_insertMany!", "Std.DTreeMap.Internal.Impl...
true
Std.Do.Spec.seq'
Std.Do.Triple.SpecLemmas
[ "Iff.mpr", "Eq.mpr", "Std.Do.SPred.entails", "Unit.unit", "Std.Do.PostCond.entails", "Std.Do.PredTrans.instMonad", "Std.Do.SPred.entails.refl", "and_true", "congrArg", "Monad.toApplicative", "Std.Do.PostCond", "Std.Do.Assertion", "Function.comp", "Std.Do.WPMonad.wp_seq", "Std.Do.WPMonad....
true
Lean.MetavarContext.getDelayedMVarAssignmentCore?
Lean.MetavarContext
[ "Lean.instBEqMVarId", "Lean.MetavarContext", "Lean.MVarId", "Lean.DelayedMetavarAssignment", "Lean.instHashableMVarId", "Lean.PersistentHashMap.find?", "Lean.MetavarContext.dAssignment", "Option" ]
true
Std.DTreeMap.mem_of_mem_insert
Std.Data.DTreeMap.Lemmas
[ "Std.DTreeMap", "Std.DTreeMap.insert", "Ord.mk", "Membership.mem", "Ordering", "Ordering.eq", "Std.DTreeMap.Internal.Impl.mem_of_mem_insert", "Std.DTreeMap.inner", "Ne", "Std.TransCmp", "Std.DTreeMap.instMembership", "Std.DTreeMap.wf" ]
true
MvPowerSeries.rescaleMonoidHom._proof_1
Mathlib.RingTheory.MvPowerSeries.Substitution
[ "Nat.instMulZeroClass", "MvPowerSeries.rescale", "Semiring.toModule", "HMul.hMul", "Monoid.toMulOneClass", "CommSemiring.toNonUnitalCommSemiring", "congrArg", "CommSemiring.toSemiring", "LinearMap.instFunLike", "MvPowerSeries", "RingHom", "MulOne.toMul", "NonUnitalSemiring.toNonUnitalNonAsso...
false
MeasureTheory.ennrealPreVariation.congr_simp
Mathlib.MeasureTheory.Measure.PreVariation
[ "ENNReal.instAddCommMonoid", "Eq.rec", "MeasurableSpace", "MeasureTheory.ennrealPreVariation", "MeasureTheory.IsSigmaSubadditiveSetFun", "ENNReal", "Set.instEmptyCollection", "Eq.ndrec", "Zero.toOfNat0", "Eq.refl", "ENNReal.instTopologicalSpace", "MeasureTheory.VectorMeasure", "ENNReal.instZ...
true
_private.Init.Data.Int.Linear.0.Int.Linear.poly_eq_zero_eq_false
Init.Data.Int.Linear
[ "Eq.mpr", "False", "HMul.hMul", "iff_false", "congrArg", "eq_iff_iff._simp_1", "Eq.mp", "id", "Int.Linear.Poly.divCoeffs", "Int.instNegInt", "Ne", "Int", "Int.instMul", "_private.Init.Data.Int.Linear.0.Int.Linear.contra", "Int.instLTInt", "Bool.true", "GT.gt", "instHAdd", "absurd...
true
integral_sin_pow_aux
Mathlib.Analysis.SpecialFunctions.Integrals.Basic
[ "Continuous.comp'", "Mathlib.Tactic.Ring.Common.mul_pf_left", "IsModuleTopology.toContinuousSMul", "add_sub_assoc", "NormedCommRing.toNormedRing", "Mathlib.Tactic.Ring.Common.neg_zero", "Eq.mpr", "InnerProductSpace.toNormedSpace", "NegZeroClass.toNeg", "NormedCommRing.toSeminormedCommRing", "Non...
true
Lean.Parser.Term.stateRefT._regBuiltin.Lean.Parser.Term.stateRefT_1
Lean.Parser.Term
[ "IO", "Unit", "Lean.Parser.addBuiltinLeadingParser", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.Parser.Term.stateRefT" ]
false
thickenedIndicator.congr_simp
Mathlib.Topology.MetricSpace.ThickenedIndicator
[ "Real", "thickenedIndicator", "Real.instZero", "Real.instLT", "Eq.rec", "NNReal", "instPseudoMetricSpaceNNReal", "PseudoEMetricSpace", "PseudoEMetricSpace.toUniformSpace", "LT.lt", "Eq.ndrec", "Zero.toOfNat0", "Eq.refl", "OfNat.ofNat", "UniformSpace.toTopologicalSpace", "Eq", "Bounde...
true
Representation.Coinvariants.mk_tmul_inv
Mathlib.RepresentationTheory.Coinvariants
[ "Iff.mpr", "Submodule", "Representation.Coinvariants.ker", "CommRing", "Representation", "MonoidHom.instFunLike", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "congrArg", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Module.End.instSemiring", "LinearMap.instFunLike"...
true
CategoryTheory.ParametrizedAdjunction.preservesLimit_flip_obj
Mathlib.CategoryTheory.Adjunction.ParametrizedLimits
[ "Eq.mpr", "CategoryTheory.Limits.IsColimit.fac", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor.flip", "CategoryTheory.Functor", "CategoryTheory.Limits.IsLimit.mk", "Equiv.apply_symm_apply", "CategoryTheory.Limits.Cocone", "CategoryTheory.Limits.Cone", "CategoryTheory.Functor.mapCocone", ...
true
Finpartition.ofErase.congr_simp
Mathlib.Order.Partition.Finpartition
[ "Lattice", "Lattice.toSemilatticeSup", "Finset", "PartialOrder.toPreorder", "Preorder.toLE", "OrderBot", "SemilatticeInf.toPartialOrder", "Eq.rec", "id", "Finpartition.ofErase", "Eq.ndrec", "Finset.sup", "Eq.refl", "Finset.SupIndep", "Eq", "Finpartition", "Lattice.toSemilatticeInf", ...
true
ClassGroup.mk._proof_1
Mathlib.RingTheory.ClassGroup
[ "IsDomain", "MonoidHom.range", "FractionRing.field", "CommRing", "OreLocalization.instAlgebra", "CommSemiring.toSemiring", "ClassGroup._proof_1", "FractionRing", "nonZeroDivisors", "Units", "Algebra.id", "PrincipalIdeals.normal", "Units.instGroup", "Field.toSemifield", "Field.toCommRing"...
false
NonarchimedeanGroup.mk._flat_ctor
Mathlib.Topology.Algebra.Nonarchimedean.Basic
[ "Filter.instMembership", "OpenSubgroup", "Continuous", "ContinuousInv.mk", "InvOneClass.toOne", "HMul.hMul", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "instTopologicalSpaceProd", "Group", "IsTopologicalGroup.mk", "OpenSubgroup.instSetLike", "Group.toDivisionMonoid", "Members...
false
Lean.Name.hasMacroScopes._unsafe_rec
Init.Prelude
[ "String", "instBEqOfDecidableEq", "BEq.beq", "Nat", "instDecidableEqString", "Bool", "Lean.Name", "Lean.Name.hasMacroScopes.match_1", "Bool.false", "Lean.Name.hasMacroScopes._unsafe_rec" ]
false
Lean.Diff.Action.skip
Lean.Util.Diff
[ "Lean.Diff.Action", "Lean.Diff.Action.skip" ]
true
_private.Init.Data.BitVec.Lemmas.0.BitVec.ofNat_sub_ofNat_of_le._proof_1_1
Init.Data.BitVec.Lemmas
[ "instPowNat", "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.ofNat_sub_dichotomy", "Lean.Omega.Int.add_co...
false
instMinInt16
Init.Data.SInt.Basic
[ "Int16.decLe", "Int16", "instLEInt16", "minOfLe", "Min" ]
true
MeasureTheory.OuterMeasure.instLawfulFunctor
Mathlib.MeasureTheory.OuterMeasure.Operations
[ "LawfulFunctor.mk", "LawfulFunctor", "MeasureTheory.OuterMeasure.instFunctor", "Function.comp", "MeasureTheory.OuterMeasure", "id", "Functor.mapConst", "Eq.refl", "Functor.map" ]
true
NonemptyFinLinOrd.hom_hom_ofHom
Mathlib.Order.Category.NonemptyFinLinOrd
[ "NonemptyFinLinOrd.of", "LinearOrder", "PartialOrder.toPreorder", "NonemptyFinLinOrd.ofHom", "LinOrd.carrier", "SemilatticeInf.toPartialOrder", "LinOrd.str", "DistribLattice.toLattice", "LinOrd", "LinOrd.instCategory", "Fintype", "Nonempty", "CategoryTheory.InducedCategory.Hom.hom", "Eq", ...
true
ProbabilityTheory.condCDF
Mathlib.Probability.Kernel.Disintegration.CondCDF
[ "ProbabilityTheory.preCDF", "Real", "MeasureTheory.Measure", "Rat", "PseudoMetricSpace.toUniformSpace", "ProbabilityTheory.stieltjesOfMeasurableRat", "ProbabilityTheory.measurable_preCDF'", "MeasurableSpace", "Real.measurableSpace", "ENNReal.toReal", "StieltjesFunction", "Real.pseudoMetricSpac...
true
ExceptCpsT.runCatch
Init.Control.ExceptCps
[ "Pure.pure", "Monad.toApplicative", "Applicative.toPure", "ExceptCpsT", "Monad" ]
true
_private.Lean.Widget.Diff.0.Lean.Widget.ExprDiff.mk.injEq
Lean.Widget.Diff
[ "_private.Lean.Widget.Diff.0.Lean.Widget.ExprDiff.mk", "Eq.propIntro", "Lean.injEq_helper", "_private.Lean.Widget.Diff.0.Lean.Widget.ExprDiff.mk.inj", "_private.Lean.Widget.Diff.0.Lean.Widget.ExprDiffTag", "And", "_private.Lean.Widget.Diff.0.Lean.Widget.ExprDiff", "Eq.ndrec", "Eq.refl", "Eq", "L...
true
NumberField.instCommRingInfiniteAdeleRing
Mathlib.NumberTheory.NumberField.InfiniteAdeleRing
[ "NumberField.instCommRingInfiniteAdeleRing._proof_3", "NumberField.instCommRingInfiniteAdeleRing._proof_40", "Ring.mk", "NumberField.instCommRingInfiniteAdeleRing._proof_18", "Mul.mk", "CommRing", "NumberField.instCommRingInfiniteAdeleRing._proof_19", "One.mk", "NumberField.instCommRingInfiniteAdele...
true
Equivalence.of_isEquiv
Mathlib.Order.Defs.Unbundled
[ "Std.Refl.refl", "Std.Symm.symm", "Equivalence", "IsEquiv", "IsTrans.trans", "IsPreorder.toIsTrans", "IsEquiv.toSymm", "IsEquiv.toIsPreorder", "Equivalence.mk", "IsPreorder.toRefl" ]
true
Lean.Compiler.LCNF.FloatLetIn.Decision.recOn
Lean.Compiler.LCNF.FloatLetIn
[ "Lean.Compiler.LCNF.FloatLetIn.Decision", "Lean.Compiler.LCNF.FloatLetIn.Decision.unknown", "Lean.Compiler.LCNF.FloatLetIn.Decision.arm", "Lean.Compiler.LCNF.FloatLetIn.Decision.dont", "Lean.Compiler.LCNF.FloatLetIn.Decision.rec", "Lean.Name", "Lean.Compiler.LCNF.FloatLetIn.Decision.default" ]
false
Seminorm.instSeminormClass
Mathlib.Analysis.Seminorm
[ "Real.partialOrder", "Real", "AddMonoid.toAddSemigroup", "SMul", "PartialOrder.toPreorder", "AddGroupSeminorm.neg'", "Preorder.toLE", "Seminorm.smul'", "Seminorm.toAddGroupSeminorm", "SeminormClass", "Seminorm", "Seminorm.instFunLike", "AddGroupSeminorm.add_le'", "AddSemigroup.toAdd", "A...
true
AddCircle.denseRange_zsmul_iff
Mathlib.Topology.Instances.AddCircle.DenseSubgroup
[ "not_exists._simp_1", "Real", "instHSMul", "instHDiv", "QuotientAddGroup.mk_surjective", "DivisionRing.toRatCast", "Real.instZero", "congrArg", "Real.instDivInvMonoid", "Real.instRatCast", "AddCommMagma.to_isCommutative", "Rat", "addOrderOf", "PseudoMetricSpace.toUniformSpace", "Real.ins...
true
Multiset.equivDFinsupp._proof_2
Mathlib.Data.DFinsupp.Multiset
[ "AddMonoidHom.ext_nat", "DFinsupp.ext", "Eq.recOn", "Nat.instMulZeroClass", "dite_congr", "DFinsupp.toMultiset", "congrArg", "DFinsupp.single", "AddMonoid.toAddZeroClass", "DFinsupp.toMultiset_single", "DFinsupp.addZeroClass'", "Multiset.instAddCancelCommMonoid", "Nat.instAddMonoid", "AddM...
false
Std.HashMap.Raw.getKeyD_inter_of_not_mem_right
Std.Data.HashMap.RawLemmas
[ "Std.HashMap.Raw.WF.out", "Membership.mem", "Std.HashMap.Raw.WF", "LawfulHashable", "Std.HashMap.Raw", "Inter.inter", "Std.HashMap.Raw.getKeyD", "EquivBEq", "Std.HashMap.Raw.inner", "Std.HashMap.Raw.instInterOfBEqOfHashable", "Std.HashMap.Raw.instMembershipOfBEqOfHashable", "Hashable", "BEq"...
true
MeasureTheory.LocallyIntegrable.integrable_of_isBigO_atTop_of_norm_isNegInvariant
Mathlib.MeasureTheory.Integral.Asymptotics
[ "MeasureTheory.ae", "Norm.norm", "Eq.mpr", "Filter.EventuallyEq.restrict", "NegZeroClass.toNeg", "MeasureTheory.Integrable.congr'", "SubtractionMonoid.toInvolutiveNeg", "Real", "MeasureTheory.integrableOn_union", "MeasureTheory.Measure", "le_rfl", "Set.Ici", "Measurable.aemeasurable", "con...
true
Representation.norm_self_apply
Mathlib.RepresentationTheory.Basic
[ "Representation", "MonoidHom.instFunLike", "Monoid.toMulOneClass", "Module.End.instSemiring", "LinearMap.instFunLike", "Group", "LinearMap.ext_iff", "DivInvMonoid.toMonoid", "LinearMap", "Representation.norm_comp_self", "AddCommMonoid", "MulZeroOneClass.toMulOneClass", "instMulZeroOneClassOf...
true
WithCStarModule.instUnique
Mathlib.Analysis.CStarAlgebra.Module.Synonym
[ "Unique", "WithCStarModule" ]
true
CategoryTheory.Lax.OplaxTrans.vCompApp
Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Lax
[ "CategoryTheory.Lax.OplaxTrans", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Lax.OplaxTrans.app", "CategoryTheory.Bicategory.toCategoryStruct", "CategoryTheory.PrelaxFunctor.toPrelaxFunctorStruct", "CategoryTheory.LaxFunctor.toPrelaxFunctor", "CategoryTheory.Bicategory", ...
true
TrivSqZeroExt.instL1SeminormedRing._proof_1
Mathlib.Analysis.Normed.Algebra.TrivSqZeroExt
[ "Norm.norm", "Real", "TrivSqZeroExt", "SeminormedAddCommGroup", "AddMonoid.toAddSemigroup", "SeminormedAddCommGroup.dist_eq", "AddCommGroup.toAddGroup", "inferInstance", "TrivSqZeroExt.instL1SeminormedAddCommGroup", "SeminormedAddCommGroup.toNorm", "instHAdd", "AddSemigroup.toAdd", "Seminorm...
false
Algebra.adjoin_empty
Mathlib.Algebra.Algebra.Subalgebra.Lattice
[ "Subalgebra.instSetLike", "Lattice.toSemilatticeSup", "ChainCompletePartialOrder.instOfCompleteLattice", "CompleteBooleanAlgebra.toCompleteDistribLattice", "CompleteLattice.toLattice", "OrderBot.toBot", "PartialOrder.toPreorder", "Algebra.instCompleteLatticeSubalgebra", "Algebra", "Preorder.toLE",...
true
LinearMap.intrinsicStar_mulRight
Mathlib.Algebra.Star.LinearMap
[ "Eq.mpr", "WithConv.toConv", "instSMulOfMul", "star_star", "congrArg", "DistribMulAction.toDistribSMul", "IsScalarTower", "LinearMap.intrinsicStar", "InvolutiveStar", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "id", "DistribSMul.toSMulZeroClass", "StarAddMonoid.toInvolutiveStar"...
true
_private.Mathlib.Combinatorics.Graph.Subgraph.0.Graph.le_iff_compatible_subset_subset.match_1_1
Mathlib.Combinatorics.Graph.Subgraph
[ "Graph.Compatible", "HasSubset.Subset", "Graph", "And.casesOn", "And", "And.intro", "Graph.edgeSet", "Graph.vertexSet", "Set.instHasSubset", "Set" ]
false
Finsupp.prod_of_support_subset
Mathlib.Algebra.BigOperators.Finsupp.Basic
[ "Finsupp.instFunLike", "MulOne.toOne", "Monoid.toMulOneClass", "Finsupp.notMem_support_iff", "Finset", "Finsupp.support", "Membership.mem", "Eq.rec", "HasSubset.Subset", "Finset.prod_subset", "Finset.prod", "congr_arg", "MulOneClass.toMulOne", "Finset.instSetLike", "CommMonoid.toMonoid",...
true
Lean.Meta.Grind.propagateEqUp
Lean.Meta.Tactic.Grind.Propagate
[ "Pure.pure", "Lean.Meta.Grind.GrindM", "Functor.discard", "Unit.unit", "Lean.Meta.Grind.pushEq", "Lean.Meta.Grind.ENode.self", "bne", "Lean.Meta.mkNoConfusion", "Lean.Meta.Grind.findEqc", "Lean.Meta.mkEqTrueCore", "Lean.Meta.Sym.getFalseExpr", "Lean.Meta.Grind.Goal", "Lean.Expr.isApp", "Le...
true
_private.Mathlib.Algebra.Homology.Embedding.Basic.0.ComplexShape.instIsTruncGENatIntEmbeddingUpIntGE._proof_1
Mathlib.Algebra.Homology.Embedding.Basic
[ "Lean.RArray.leaf", "False", "HMul.hMul", "congrArg", "Classical.byContradiction", "AddGroupWithOne.toAddMonoidWithOne", "Eq.mp", "Lean.RArray.branch", "Int.Linear.Expr.add", "id", "Lean.RArray", "Int.instNegInt", "instOfNatNat", "Int", "NatCast.natCast", "Int.Linear.Poly.num", "Nat....
false
CochainComplex.mappingCone.mapHomologicalComplexXIso'
Mathlib.Algebra.Homology.HomotopyCategory.MappingCone
[ "Int.instAddCommGroup", "CategoryTheory.Functor", "HomologicalComplex.instCategory", "AddLeftCancelSemigroup.toIsLeftCancelAdd", "CochainComplex.HomComplex.instAddCommGroupCochain", "HomologicalComplex.Hom.f", "CategoryTheory.CategoryStruct.toQuiver", "CochainComplex.mappingCone.inr", "Quiver.Hom", ...
true
CategoryTheory.Limits.wideCoequalizerIsWideCoequalizer
Mathlib.CategoryTheory.Limits.Shapes.WideEqualizers
[ "CategoryTheory.Limits.wideCoequalizer.condition", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelFamily", "CategoryTheory.Limits.wideCoequalizer.π", "CategoryTheory.Limits.colimit.isColimit", "CategoryTheory.Limits.IsColimit.ofIsoColimit", "CategoryTheor...
true
length_permsOfList
Mathlib.Data.Fintype.Perm
[ "List.brecOn", "List", "Nat.factorial", "Equiv.Perm", "Nat", "length_permsOfList._f", "permsOfList", "Eq", "List.length", "DecidableEq" ]
true
CategoryTheory.ShortComplex.RightHomologyMapData.noConfusion
Mathlib.Algebra.Homology.ShortComplex.RightHomology
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ShortComplex.RightHomologyData", "HEq.refl", "CategoryTheory.ShortComplex.RightHomologyMapData.casesOn", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.RightHomologyMapData.co...
false
_private.Mathlib.MeasureTheory.Covering.Besicovitch.0.Besicovitch.exist_disjoint_covering_families._simp_1_10
Mathlib.MeasureTheory.Covering.Besicovitch
[ "Set.univ", "Membership.mem", "True", "Set.mem_univ", "eq_true", "Eq", "Set.instMembership", "Set" ]
false
Std.DHashMap.Const.foldM_eq_foldlM_toList
Std.Data.DHashMap.Lemmas
[ "List.foldlM", "Std.DHashMap.Internal.Raw₀.Const.foldM_eq_foldlM_toList", "Std.DHashMap.Raw", "Std.DHashMap.wf", "LawfulMonad", "instOfNatNat", "Std.DHashMap.Raw.WF.size_buckets_pos", "Prod.fst", "Std.DHashMap.foldM", "Subtype.mk", "Std.DHashMap.inner", "Nat", "Std.DHashMap.Raw.buckets", "...
true
Bundle.Trivial.vectorBundle
Mathlib.Topology.VectorBundle.Constructions
[ "Eq.mpr", "Continuous.continuousOn", "Bundle.Trivial.eq_trivialization", "NormedSpace", "ContinuousLinearMap.topologicalSpace", "congrArg", "AddCommGroup.toAddCommMonoid", "Bundle.Trivial.trivialization", "NormedSpace.toModule", "VectorBundle.mk", "continuous_const", "PseudoMetricSpace.toUnifo...
true
ModularGroup.exists_bound_of_subgroup_invariant
Mathlib.NumberTheory.ModularForms.Bounds
[ "UpperHalfPlane.glAction", "Norm.norm", "Eq.mpr", "UpperHalfPlane.IsBoundedAtImInfty", "Real.instPow", "Real.instLE", "Real", "DivInvMonoid.toInv", "instHSMul", "Matrix.SpecialLinearGroup", "Continuous", "instHDiv", "SeminormedAddCommGroup", "UpperHalfPlane.SLAction", "le_rfl", "HMul.h...
true
CategoryTheory.Functor.IsOneHypercoverDense.of_hasPullbacks
Mathlib.CategoryTheory.Sites.DenseSubsite.OneHypercoverDense
[ "CategoryTheory.GrothendieckTopology.superset_covering", "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.Limits.pullback", "CategoryTheory.Functor.PreOneHypercoverDenseData.mk", "CategoryTheory.Presieve.instHasPullbackOfHasPairwisePullbacksOfArrows", "CategoryTheory.Functor.preimage", "Cate...
true
NonUnitalSubalgebra.coe_zero
Mathlib.Algebra.Algebra.NonUnitalSubalgebra
[ "NonUnitalSubalgebra", "CommSemiring.toSemiring", "NonUnitalSubalgebra.instNonUnitalSubsemiringClass", "AddMonoid.toAddZeroClass", "NonUnitalNonAssocSemiring.toMulZeroClass", "Membership.mem", "Subtype", "ZeroMemClass.zero", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "NonUnital...
true
Fin.insertNthOrderIso_symm_apply
Mathlib.Order.Fin.Tuple
[ "Fin.succAbove", "Prod.instLE_mathlib", "Fin.insertNthOrderIso", "Prod.mk", "RelIso.symm", "instOfNatNat", "Fin.removeNth", "LE.le", "LE", "Pi.hasLe", "RelIso", "instHAdd", "HAdd.hAdd", "RelIso.instFunLike", "Nat", "instAddNat", "Eq.refl", "Prod", "OfNat.ofNat", "Fin", "Eq", ...
true
_private.Lean.Meta.Tactic.Grind.Arith.CommRing.Reify.0.Lean.Meta.Grind.Arith.CommRing.reifyCore?.go
Lean.Meta.Tactic.Grind.Arith.CommRing.Reify
[ "Inhabited.default", "instInhabitedOfMonad", "Lean.Expr", "Lean.Meta.MetaM", "MonadLiftT", "Lean.MonadError", "Lean.Meta.Grind.Arith.CommRing.RingExpr", "Lean.Grind.CommRing.instInhabitedExpr", "Lean.Meta.Grind.Arith.CommRing.MonadRing", "Monad", "Lean.Meta.Grind.Arith.CommRing.MonadCanon" ]
true
inv_apply
Mathlib.Data.FunLike.IsApply
[ "Inv", "outParam", "IsInvApply", "Inv.inv", "IsInvApply.inv_apply", "Eq", "DFunLike.coe", "FunLike" ]
true
IntermediateField.relfinrank_eq_one_iff
Mathlib.FieldTheory.Relrank
[ "IntermediateField.instPartialOrder", "Subfield.relfinrank_eq_one_iff", "IntermediateField", "IntermediateField.relfinrank", "PartialOrder.toPreorder", "Algebra", "Preorder.toLE", "instOfNatNat", "LE.le", "Field.toSemifield", "Iff", "Semifield.toDivisionSemiring", "Nat", "DivisionSemiring....
true
groupCohomology.isoCocycles₂._proof_1
Mathlib.RepresentationTheory.Homological.GroupCohomology.LowDegree
[ "CommRing", "Nat.instOne", "ModuleCat", "CommSemiring.toSemiring", "AddRightCancelSemigroup.toAddSemigroup", "AddCancelMonoid.toAddRightCancelMonoid", "Group", "Nat.instAddCancelCommMonoid", "DivInvMonoid.toMonoid", "instOfNatNat", "groupCohomology.inhomogeneousCochainsIso._proof_1", "groupCoh...
false
_private.Std.Data.Iterators.Lemmas.Producers.Monadic.Vector.0.Vector.iterM_equiv_iterM_toList._simp_1_1
Std.Data.Iterators.Lemmas.Producers.Monadic.Vector
[ "Vector.iterM", "Std.Iterators.Types.ArrayIterator", "Vector", "Monad.toApplicative", "Array.iterM", "Applicative.toPure", "Nat", "Std.IterM", "Eq.symm", "Monad", "Vector.iterM_toArray", "Eq", "Vector.toArray" ]
false
_private.Mathlib.CategoryTheory.Subfunctor.Equalizer.0.CategoryTheory.Subfunctor.equalizer.condition._simp_1_1
Mathlib.CategoryTheory.Subfunctor.Equalizer
[ "CategoryTheory.Functor", "CategoryTheory.Subfunctor.range_le_equalizer_iff", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "Preorder.toLE", "CategoryTheory.Subfunctor.equalizer", "LE.le", "CategoryTheory.Subfunctor.toFunctor"...
false
_private.Mathlib.RingTheory.Unramified.LocalRing.0.Localization.exists_awayMap_bijective_of_localRingHom_bijective._simp_1_2
Mathlib.RingTheory.Unramified.LocalRing
[ "Exists", "Subtype.exists", "Subtype", "Subtype.mk", "propext", "Eq" ]
false
_private.Lean.Compiler.NameMangling.0.Lean.Name.demangleAux.decodeNum._mutual._proof_26
Lean.Compiler.NameMangling
[ "String.Pos.next", "of_decide_eq_true", "_private.Lean.Compiler.NameMangling.0.Lean.parseLowerHex?", "_private.Lean.Compiler.NameMangling.0.Lean.lt_of_parseLowerHex?_eq_some", "String", "Option.some", "id", "Prod.mk", "instOfNatNat", "String.Pos.lt_next", "Bool.true", "String.instLTPos", "Na...
false
RingHom.codRestrict._proof_2
Mathlib.Algebra.Ring.Subsemiring.Basic
[ "SetLike", "MulOne.toOne", "HMul.hMul", "SubmonoidClass.toMulOneClass", "SubsemiringClass", "RingHom", "Membership.mem", "MulOne.toMul", "Subtype", "MonoidHomClass.toMonoidHom", "NonAssocSemiring.toMulZeroOneClass", "MonoidHom.codRestrict", "MulZeroOneClass.toMulOneClass", "MulOneClass.toM...
false
Lean.Meta.DiscrTree.recOn
Lean.Meta.DiscrTree.Types
[ "Lean.Meta.DiscrTree.instHashableKey", "Lean.Meta.DiscrTree.instBEqKey", "Lean.Meta.DiscrTree.Key", "Lean.PersistentHashMap", "Lean.Meta.DiscrTree.mk", "Lean.Meta.DiscrTree.Trie", "Lean.Meta.DiscrTree", "Lean.Meta.DiscrTree.rec" ]
false
_private.Mathlib.GroupTheory.Sylow.0.Sylow.exists_subgroup_card_pow_prime.match_1_1
Mathlib.GroupTheory.Sylow
[ "Nat.instMonoid", "PartialOrder.toPreorder", "Group", "Preorder.toLE", "Membership.mem", "Exists", "Subtype", "Nat.card", "Subgroup", "Bot.bot", "LE.le", "Monoid.toPow", "And", "Exists.casesOn", "HPow.hPow", "Nat", "Exists.intro", "Subgroup.instPartialOrder", "Subgroup.instBot", ...
false
MeasureTheory.condExp_of_not_integrable
Mathlib.MeasureTheory.Function.ConditionalExpectation.Basic
[ "Eq.mpr", "Real", "MeasureTheory.Measure", "MeasurableSpace.instLE", "NormedSpace", "congrArg", "MeasureTheory.AEEqFun.cast", "MeasureTheory.SigmaFinite", "MeasureTheory.Measure.trim", "PseudoMetricSpace.toUniformSpace", "MeasureTheory.condExpL1", "MeasureTheory.aestronglyMeasurable_condExpL1"...
true
Matrix.toLin_finTwoProd_toContinuousLinearMap
Mathlib.Topology.Algebra.Module.FiniteDimension
[ "IsModuleTopology.toContinuousSMul", "NormedCommRing.toNormedRing", "NormedCommRing.toSeminormedCommRing", "Matrix.toLin", "Algebra.to_smulCommClass", "instHSMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CompleteSpace", "Semiring.toModule", "NormedRing.toRing", "Equiv.instEquivLike", ...
true
Int16.toBitVec_add
Init.Data.SInt.Lemmas
[ "Int16", "BitVec.instAdd", "BitVec", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "Int16.toBitVec", "instAddInt16", "OfNat.ofNat", "Eq", "rfl" ]
true
_private.Mathlib.MeasureTheory.Measure.Tilted.0.MeasureTheory.tilted_tilted._simp_1_3
Mathlib.MeasureTheory.Measure.Tilted
[ "False", "eq_false", "four_ne_zero", "instOfNatNat", "Nat", "Zero.toOfNat0", "NeZero", "OfNat.ofNat", "Eq", "OfNat", "Zero" ]
false
MatrixEquivTensor.toFunAlgHom._proof_3
Mathlib.RingTheory.MatrixAlgebra
[ "Eq.mpr", "Matrix.smul", "NonAssocSemiring.toAddCommMonoidWithOne", "RingHom.instRingHomClass", "instHSMul", "Semiring.toModule", "instSMulOfMul", "Matrix.module", "Algebra.algebraMap", "congrArg", "CommSemiring.toSemiring", "Matrix", "TensorProduct.addCommMonoid", "LinearMap.instFunLike",...
false
Std.DHashMap.Raw.Const.getD_of_isEmpty
Std.Data.DHashMap.RawLemmas
[ "Std.DHashMap.Raw.WF", "Eq.mpr", "congrArg", "Std.DHashMap.Raw", "id", "Std.DHashMap.Internal.Raw₀.Const.getD", "instOfNatNat", "Std.DHashMap.Raw.WF.size_buckets_pos", "LawfulHashable", "Subtype.mk", "Bool.true", "Std.DHashMap.Raw.Const.getD", "EquivBEq", "Std.DHashMap.Internal.Raw.Const.g...
true
SemilinearMapClass.mk._flat_ctor
Mathlib.Algebra.Module.LinearMap.Defs
[ "instHSMul", "outParam", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "SemilinearMapClass.mk", "RingHom", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "AddCommMonoid", "AddZero.toZero", "instHAdd", "RingHom.instFunLike", "HAdd.hAdd", "SemilinearMapClass", "Se...
false
RootPairing.IsRootSystem.ext
Mathlib.LinearAlgebra.RootSystem.Basic
[ "Eq.mpr", "IsDomain", "CommRing", "Algebra.to_smulCommClass", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "ChainCompletePartialOrder.instOfCompleteLattice", "CommRing.toNonUnitalCommRing", "RootPairing.mapsTo_reflection_root", "congrArg", "CommSemiring.toSemiring", "D...
true
Lean.IR.IRType.match_on_same_ctor._@.Lean.Compiler.IR.Basic.840659257._hygCtx._hyg.60
Lean.Compiler.IR.Basic
[ "Unit.unit", "Lean.IR.IRType.ctorIdx", "Lean.IR.IRType.float", "Lean.IR.IRType.uint16", "Lean.IR.IRType.union", "Lean.IR.IRType.float32", "instOfNatNat", "Lean.IR.IRType.usize", "Lean.IR.IRType.uint32", "Array", "Unit", "Nat", "Lean.IR.IRType", "Lean.IR.IRType.erased", "Eq.ndrec", "Lea...
false
CategoryTheory.Limits.PreservesPullback.iso_hom_fst
Mathlib.CategoryTheory.Limits.Preserves.Shapes.Pullbacks
[ "CategoryTheory.Limits.pullback", "CategoryTheory.Functor", "CategoryTheory.Limits.isLimitOfHasPullbackOfPreservesLimit._proof_1", "CategoryTheory.Limits.PreservesLimit", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Limits.pullback.snd", "CategoryTheory.Limits....
true
Lean.Meta.withLetDecl
Lean.Meta.Basic
[ "Lean.LocalDeclKind.default", "_private.Lean.Meta.Basic.0.Lean.Meta.withLetDeclImp", "Lean.LocalDeclKind", "Lean.Expr", "Lean.Meta.MetaM", "MonadControlT", "Lean.Meta.map1MetaM", "Bool", "Lean.Name", "optParam", "Monad", "Bool.false" ]
true
InnerProductGeometry.cos_angle
Mathlib.Geometry.Euclidean.Angle.Unoriented.Basic
[ "Norm.norm", "NegZeroClass.toNeg", "Real", "instHDiv", "HMul.hMul", "Inner.inner", "Real.cos", "Real.instRCLike", "abs", "abs_le", "Real.instDivInvMonoid", "InnerProductGeometry.angle", "PartialOrder.toPreorder", "Preorder.toLE", "AddCommGroup.toAddGroup", "SemilatticeInf.toPartialOrde...
true
_private.Mathlib.Data.Nat.Digits.Defs.0.Nat.ofDigits_lt_base_pow_length'._simp_1_4
Mathlib.Data.Nat.Digits.Defs
[ "Nat.zero_le", "instOfNatNat", "LE.le", "instLENat", "Nat", "True", "eq_true", "OfNat.ofNat", "Eq" ]
false
Lean.Meta.KExprMap.rec
Lean.Meta.KExprMap
[ "Lean.Meta.KExprMap.mk", "Lean.PHashMap", "Lean.instBEqHeadIndex", "Lean.Expr", "Lean.instHashableHeadIndex", "Lean.AssocList", "Lean.Meta.KExprMap", "Lean.HeadIndex" ]
false
WithBot.giUnbotDBot
Mathlib.Order.GaloisConnection.Basic
[ "WithBot.instPreorder", "WithBot.some", "WithBot", "le_rfl", "OrderBot.toBot", "GaloisInsertion.mk", "Preorder.toLE", "WithBot.giUnbotDBot._proof_2", "OrderBot", "WithBot.giUnbotDBot._proof_1", "Bot.bot", "LE.le", "GaloisInsertion", "WithBot.unbotD", "Preorder" ]
true
Submodule.orderIsoMapComap_apply'
Mathlib.Algebra.Module.Submodule.Map
[ "Submodule", "LinearEquiv.symm", "PartialOrder.toPreorder", "Preorder.toLE", "RingHom", "RingHomSurjective.invPair", "OrderIso", "Submodule.instPartialOrder", "AddCommMonoid", "RingHomInvPair", "Submodule.map_equiv_eq_comap_symm", "Submodule.orderIsoMapComap", "LinearEquiv.toLinearMap", "i...
true
AddSubmonoid.isAddCommutative_closure
Mathlib.GroupTheory.Submonoid.Centralizer
[ "AddSubmonoidClass.toAddMemClass", "AddSubmonoid.instAddSubmonoidClass", "AddSubmonoid.closure_le_centralizer_centralizer", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "AddZeroClass.toAddZero", "Subtype", "AddSubmonoid.add", "AddSubmonoid", "LE.le"...
true
Lean.ImportM.Context.noConfusionType
Lean.Environment
[ "Lean.ImportM.Context", "Lean.ImportM.Context.casesOn", "Lean.Options", "Eq", "Lean.Environment" ]
false
DFinsupp.linearEquivFunOnFintype
Mathlib.LinearAlgebra.DFinsupp
[ "Pi.addCommMonoid", "LinearEquiv.mk", "Pi.module", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "Equiv", "Equiv.toFun", "DFinsupp.equivFunOnFintype", "DFinsupp.linearEquivFunOnFintype._proof_4", "DFinsupp.linearEquivFunOnFintype._proof_2", "AddCommMonoid", "AddZero.toZero", "Fintype...
true
IsStronglyCoatomic.of_wellFounded_gt
Mathlib.Order.Atoms
[ "Preorder.toLT", "IsStronglyAtomic", "PartialOrder.toPreorder", "isStronglyAtomic_dual_iff_is_stronglyCoatomic", "IsStronglyCoatomic", "PartialOrder", "IsStronglyAtomic.of_wellFounded_lt", "GT.gt", "Iff.mp", "OrderDual.instPartialOrder", "OrderDual", "OrderDual.instPreorder", "WellFounded" ]
true
aestronglyMeasurable_iff_aemeasurable
Mathlib.MeasureTheory.Function.StronglyMeasurable.AEStronglyMeasurable
[ "AEMeasurable.aestronglyMeasurable", "TopologicalSpace.PseudoMetrizableSpace", "MeasureTheory.AEStronglyMeasurable.aemeasurable", "MeasureTheory.Measure", "AEMeasurable", "SecondCountableTopology", "BorelSpace", "MeasurableSpace", "TopologicalSpace", "BorelSpace.opensMeasurable", "Iff", "Iff.i...
true
IsUnit.finset
Mathlib.Algebra.Group.Pointwise.Finset.Basic
[ "Monoid", "MonoidHom.instMonoidHomClass", "MonoidHom.instFunLike", "MonoidHom", "Monoid.toMulOneClass", "Finset", "Finset.singletonMonoidHom", "IsUnit", "Finset.monoid", "MulOneClass.toMulOne", "Finset.mulOneClass", "IsUnit.map", "Finset.instSingleton", "Singleton.singleton", "DecidableE...
true
contDiffWithinAt_const
Mathlib.Analysis.Calculus.ContDiff.Basic
[ "NormedSpace", "ENat", "NontriviallyNormedField", "NontriviallyNormedField.toNormedField", "contDiffAt_const", "ContDiffWithinAt", "NormedAddCommGroup.toSeminormedAddCommGroup", "NormedAddCommGroup", "ContDiffAt.contDiffWithinAt", "WithTop", "Set" ]
true
Nat.cast_succ
Mathlib.Data.Nat.Cast.Defs
[ "AddMonoid.toAddSemigroup", "AddMonoidWithOne.toNatCast", "AddMonoidWithOne.natCast_succ", "Nat.cast", "AddMonoidWithOne.toOne", "instHAdd", "AddSemigroup.toAdd", "HAdd.hAdd", "Nat", "One.toOfNat1", "AddMonoidWithOne.toAddMonoid", "OfNat.ofNat", "Nat.succ", "Eq", "AddMonoidWithOne" ]
true
_private.Lean.Elab.Term.TermElabM.0.Lean.Elab.Term.mkCoe.match_1
Lean.Elab.Term.TermElabM
[ "Unit.unit", "Lean.LOption.undef", "Lean.Expr", "Prod.mk", "Lean.LOption.some", "Lean.LOption.none", "List", "Lean.LOption.casesOn", "Unit", "Lean.Name", "Prod", "Prod.casesOn", "Lean.LOption" ]
false