name
stringlengths
2
347
module
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6
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allowCompletion
bool
2 classes
_private.Mathlib.Analysis.Normed.Group.InfiniteSum.0.cauchySeq_finset_of_norm_bounded_eventually._simp_1_2
Mathlib.Analysis.Normed.Group.InfiniteSum
[ "Finset.instUnion", "Finset", "Membership.mem", "Finset.instSetLike", "propext", "Finset.mem_union", "Or", "Union.union", "Eq", "SetLike.instMembership", "DecidableEq" ]
false
csSup_union'._auto_3
Mathlib.Order.ConditionallyCompleteLattice.Basic
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
CategoryTheory.PreGaloisCategory.PointedGaloisObject.instCategory
Mathlib.CategoryTheory.Galois.Prorepresentability
[ "CategoryTheory.PreGaloisCategory.PointedGaloisObject.instCategory._proof_10", "Quiver.mk", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.mk", "Finite", "FintypeCat", "CategoryTheory.Category.mk", "CategoryTheory.CategoryStruct.id", "CategoryTheory.PreGaloisCategory.PointedGaloisObject.in...
true
Algebra.GrothendieckGroup.instCommGroup.eq_1
Mathlib.GroupTheory.MonoidLocalization.GrothendieckGroup
[ "Algebra.GrothendieckGroup.instCommGroup._proof_4", "Semigroup.toMul", "Monoid.toMulOneClass", "Algebra.GrothendieckGroup.instCommGroup._proof_3", "Algebra.GrothendieckGroup.instCommGroup._proof_5", "Algebra.GrothendieckGroup.instCommGroup", "DivInvMonoid.mk", "Algebra.GrothendieckGroup.instCommGroup....
true
Submodule.moduleSubmodule._proof_7
Mathlib.RingTheory.Ideal.Operations
[ "Submodule", "instHSMul", "Lattice.toSemilatticeSup", "Semiring.toModule", "CommSemiring.toSemiring", "Submodule.completeLattice", "Submodule.moduleSubmodule._proof_2", "CompleteLattice.toConditionallyCompleteLattice", "SemilatticeSup.toMax", "Submodule.sup_smul", "IsScalarTower.left", "AddCom...
false
ProbabilityTheory.iIndepFun.indepFun_sub_right₀
Mathlib.Probability.Independence.Basic
[ "Unit.unit", "instHSMul", "MeasureTheory.Measure", "instSMulOfMul", "IsScalarTower.right", "AEMeasurable", "MeasureTheory.Measure.const_comp", "congrArg", "CommSemiring.toSemiring", "ProbabilityTheory.Kernel.iIndepFun.indepFun_sub_right₀", "Set.univ", "HSub.hSub", "MeasurableSub₂", "Probab...
true
ContinuousMap.Homotopy.uliftMap._proof_1
Mathlib.AlgebraicTopology.FundamentalGroupoid.InducedMaps
[ "ULift.topologicalSpace", "Real", "Continuous", "ContinuousMap", "Continuous.comp", "ULift", "PseudoMetricSpace.toUniformSpace", "instTopologicalSpaceProd", "Function.comp", "Membership.mem", "continuous_snd", "continuous_fst", "Set.Elem", "Prod.mk", "Prod.fst", "TopCat.str", "TopCat...
false
SimpleGraph.le_chromaticNumber_of_pairwise_adj
Mathlib.Combinatorics.SimpleGraph.Coloring.VertexColoring
[ "Iff.mpr", "SimpleGraph.le_chromaticNumber_iff_colorable", "ENat.instNatCast", "SimpleGraph.Adj", "Nat.card", "LE.le", "instLENat", "Nat.cast", "instLEENat", "SimpleGraph", "SimpleGraph.Colorable.card_le_of_pairwise_adj", "Nat.instPreorder", "Nat", "ENat", "Pairwise", "LE.le.trans", ...
true
HomologicalComplex.acyclic_iff
Mathlib.Algebra.Homology.ShortComplex.HomologicalComplex
[ "CategoryTheory.Limits.HasZeroMorphisms", "HomologicalComplex.ExactAt", "Iff.rfl", "HomologicalComplex", "ComplexShape", "Iff", "HomologicalComplex.Acyclic", "CategoryTheory.Category" ]
true
Lean.Grind.ToInt.of_le
Init.Grind.ToIntLemmas
[ "Lean.Grind.ToInt.LE.le_iff", "Lean.Grind.ToInt.toInt", "congrArg", "Eq.mp", "Lean.Grind.ToInt.LE", "Int", "LE.le", "LE", "Iff.mp", "Eq", "Lean.Grind.ToInt", "Int.instLEInt", "Lean.Grind.IntInterval" ]
true
Filter.HasBasis.cauchySeq_iff'
Mathlib.Topology.UniformSpace.Cauchy
[ "Filter.instMembership", "UniformSpace", "le_rfl", "comp_symm_of_uniformity", "CauchySeq", "Filter.HasBasis.mem_iff", "SetRel", "Filter.HasBasis.cauchySeq_iff", "uniformity", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "Exists", "GE.ge", "Prod.mk", "HasSubset.Subset",...
true
RingPreordering
Mathlib.Algebra.Order.Ring.Ordering.Defs
[ "CommRing", "RingPreordering.mk" ]
true
SSet.prodStdSimplex.orderHomOfSimplex_coe
Mathlib.AlgebraicTopology.SimplicialSet.ProdStdSimplex
[ "Opposite", "CategoryTheory.typesCartesianMonoidalCategory", "SSet.prodStdSimplex.orderHomOfSimplex._proof_2", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "Fin.mk", "instOfNatNat", "CategoryTheory.Monoidal.functorCategoryMonoidalStruct", "SSet", "CategoryTheory.SemiCartesianMonoi...
true
AddMonoid.Coprod.clift._proof_1
Mathlib.GroupTheory.Coprod.Basic
[ "AddMonoidHom.instAddMonoidHomClass", "AddMonoid.toAddZeroClass", "FreeAddMonoid.instAddCancelMonoid", "AddCancelMonoid.toAddRightCancelMonoid", "AddZeroClass.toAddZero", "Sum", "AddZeroClass", "AddMonoidHomClass.toAddHomClass", "AddRightCancelMonoid.toAddMonoid", "AddHomClass", "AddZero.toAdd",...
false
_private.Mathlib.Combinatorics.SetFamily.Shadow.0.Set.Sized.shadow_iterate._simp_1_2
Mathlib.Combinatorics.SetFamily.Shadow
[ "Finset.shadow", "Finset.mem_shadow_iterate_iff_exists_sdiff", "Finset", "Finset.instSDiff", "Membership.mem", "Exists", "HasSubset.Subset", "Nat.iterate", "SDiff.sdiff", "And", "Finset.instSetLike", "Nat", "propext", "Finset.instHasSubset", "Finset.card", "Eq", "SetLike.instMembersh...
false
ContinuousMap.partialOrder._proof_3
Mathlib.Topology.ContinuousMap.Ordered
[ "ContinuousMap", "PartialOrder.toPreorder", "Preorder.toLE", "PartialOrder", "LE.le", "TopologicalSpace", "Pi.partialOrder", "Function.Injective.preorder._proof_2", "LE.mk", "ContinuousMap.toFun", "PartialOrder.lift._proof_1" ]
false
_private.Mathlib.LinearAlgebra.Transvection.Basic.0.LinearEquiv.symm_mem_dilatransvections_iff._simp_1_2
Mathlib.LinearAlgebra.Transvection.Basic
[ "LinearEquiv.symm", "LinearEquiv.symm_apply_eq", "RingHom", "AddCommMonoid", "RingHomInvPair", "LinearEquiv", "propext", "Semiring", "LinearEquiv.instEquivLike", "Module", "Semiring.toNonAssocSemiring", "Eq", "DFunLike.coe", "EquivLike.toFunLike" ]
false
_private.Mathlib.Computability.Primrec.List.0.Primrec.vector_head.match_1_1
Mathlib.Computability.Primrec.List
[ "False", "HEq.refl", "False.elim", "List.Vector", "Subtype.casesOn", "noConfusion_of_Nat", "Eq.casesOn", "List.cons", "Subtype.mk", "List", "Nat", "List.casesOn", "Nat.ctorIdx", "Eq.refl", "HEq", "Nat.succ", "Eq", "List.length", "List.nil" ]
false
StandardEtalePair.equivAwayAdjoinRoot
Mathlib.RingTheory.Etale.StandardEtale
[ "CommRing", "StandardEtalePair.equivAwayAdjoinRoot._proof_7", "AdjoinRoot", "Algebra.algebraMap", "OreLocalization.instAlgebra", "CommSemiring.toSemiring", "StandardEtalePair.f", "Localization.Away", "RingHom", "Algebra.id", "StandardEtalePair.lift", "StandardEtalePair.equivAwayAdjoinRoot._pro...
true
Finset.Iic_toDual
Mathlib.Order.Interval.Finset.Defs
[ "OrderDual.toDual", "Equiv.instEquivLike", "LocallyFiniteOrderTop", "Finset", "OrderDual.instLocallyFiniteOrderBot", "Finset.map", "Equiv", "Finset.Ici", "Equiv.toEmbedding", "Finset.map_refl", "Finset.Iic", "OrderDual", "Eq.symm", "OrderDual.instPreorder", "Function.Embedding.refl", "...
true
fderivWithin_comp_add_right
Mathlib.Analysis.Calculus.FDeriv.Add
[ "fderivWithin_comp_add_left", "NormedSpace", "instVAddOfAdd", "congrArg", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "NormedField.toField", "Set.vaddSet", "add_comm", "Field.toSemifield", "HVAdd.hVAdd", "ContinuousLinearMap", "fderivWithin",...
true
Lean.Meta.Grind.Arith.CommRing.MonadCanon.noConfusionType
Lean.Meta.Tactic.Grind.Arith.CommRing.MonadCanon
[ "Lean.Expr", "Lean.Meta.Grind.Arith.CommRing.MonadCanon.casesOn", "HEq", "Lean.Meta.Grind.Arith.CommRing.MonadCanon", "Option" ]
false
AddCommGrpCat.instCoeSortType.eq_1
Mathlib.Algebra.Category.Grp.Basic
[ "AddCommGrpCat.carrier", "AddCommGrpCat", "CoeSort.mk", "Eq.refl", "AddCommGrpCat.instCoeSortType", "CoeSort", "Eq" ]
true
AlgebraicGeometry.Scheme.exists_isQuasiAffine_of_isLimit
Mathlib.AlgebraicGeometry.AffineTransitionLimit
[ "Iff.mpr", "Eq.mpr", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "CategoryTheory.Limits.Cone", "Eq.ge", "AlgebraicGeometry.Scheme", "Lattice.toSemilatticeSup", "Opposite", "ChainCompletePartialOrder.instOfComplete...
true
CategoryTheory.Functor.isoWhiskerLeft_hom
Mathlib.CategoryTheory.Whiskering
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.whiskerLeft", "CategoryTheory.Iso", "CategoryTheory.Functor.isoWhiskerLeft", "CategoryTheory.Category.toCategoryStruct", "Cate...
true
_private.Mathlib.GroupTheory.Perm.Cycle.Type.0.Equiv.Perm.IsThreeCycle.nodup_iff_mem_support._proof_1_464
Mathlib.GroupTheory.Perm.Cycle.Type
[ "Nat.succ_lt_succ_iff", "Equiv.instEquivLike", "Lean.Grind.nestedProof", "HSub.hSub", "Equiv", "instSubNat", "instOfNatNat", "LE.le", "instLENat", "instBEqOfDecidableEq", "List.cons", "List.idxOfNth", "GetElem.getElem", "List.findIdxs", "List", "instHAdd", "List.count", "instHSub",...
false
_private.Mathlib.NumberTheory.RamificationInertia.Basic.0.Ideal.quotientToQuotientRangePowQuotSuccAux._simp_1
Mathlib.NumberTheory.RamificationInertia.Basic
[ "Submodule", "LinearMap.instFunLike", "RingHom", "Membership.mem", "Exists", "LinearMap.range", "LinearMap", "AddCommMonoid", "LinearMap.mem_range", "Submodule.setLike", "propext", "Semiring", "RingHomSurjective", "Module", "Semiring.toNonAssocSemiring", "Eq", "DFunLike.coe", "SetL...
false
MulAction.IsPretransitive.of_compHom
Mathlib.Algebra.Group.Action.Hom
[ "Monoid", "instHSMul", "MonoidHom.instFunLike", "MonoidHom", "Monoid.toMulOneClass", "MulAction.IsPretransitive", "MulOneClass.toMulOne", "MulAction.IsPretransitive.of_smul_eq", "MulAction", "Monoid.toSemigroup", "HSMul.hSMul", "SemigroupAction.toSMul", "MulAction.toSemigroupAction", "DFun...
true
convex_sInter
Mathlib.Analysis.Convex.Basic
[ "SMul", "Membership.mem", "starConvex_sInter", "PartialOrder", "AddCommMonoid", "Convex", "Semiring", "Set.sInter", "Set.instMembership", "Set" ]
true
Asymptotics.instTransIsBigOTVSIsThetaTVS
Mathlib.Analysis.Asymptotics.TVS
[ "NormedCommRing.toSeminormedCommRing", "Asymptotics.IsBigOTVS", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "NormedField.toField", "AddZeroClass.toAddZero", "AddCommGroup", "Seminorme...
true
TrivSqZeroExt.commSemiring._proof_2
Mathlib.Algebra.TrivSqZeroExt.Basic
[ "Semigroup.toMul", "TrivSqZeroExt", "TrivSqZeroExt.commMonoid", "HMul.hMul", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "CommMonoid.mul_comm", "AddMonoid.toAddZeroClass", "MulOpposite", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "AddCommMonoid", "CommSemiring"...
false
Lean.Meta.Sym.Simp.simpControl
Lean.Meta.Sym.Simp.ControlFlow
[ "Pure.pure", "Bool.not", "Lean.Expr.isApp", "ReaderT", "Lean.Meta.Sym.Simp.MethodsRef", "Lean.Meta.Sym.Context", "Lean.Meta.Sym.Simp.Simproc", "ReaderT.instMonad", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "instDecidableEqBool", "Lean.Level", "Applicative.toPure", "Lean.Meta.Sym.Sy...
true
TopHom.dual_id
Mathlib.Order.Hom.Bounded
[ "Equiv.instEquivLike", "TopHom.dual", "Equiv", "OrderTop", "LE", "OrderDual.instBotOfTop", "TopHom.id", "OrderTop.toTop", "TopHom", "OrderDual", "Eq", "DFunLike.coe", "BotHom", "rfl", "EquivLike.toFunLike", "BotHom.id" ]
true
CategoryTheory.CartesianMonoidalCategory.ofChosenFiniteProducts.leftUnitor_naturality
Mathlib.CategoryTheory.Monoidal.Cartesian.Basic
[ "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.CartesianMonoidalCategory.ofChosenFiniteProducts.tensorHom", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.CartesianMonoidalCategory.ofChosenFiniteProducts.tensorObj", "CategoryTheory.Functo...
true
Units.mulLeftLinearEquiv_apply
Mathlib.Algebra.Module.Equiv.Basic
[ "Units.val", "NonAssocSemiring.toAddCommMonoidWithOne", "MonoidHom.instFunLike", "instSMulOfMul", "HMul.hMul", "MonoidHom", "Monoid.toMulOneClass", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "Units", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "DivInvMonoid.to...
true
CategoryTheory.instCategoryInd._proof_7
Mathlib.CategoryTheory.Limits.Indization.Category
[ "Quiver.mk", "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.mk", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ShrinkHoms.instCategory._proof_2", "CategoryTheory.instCategoryInd._aux_1", "CategoryTheory.Functor.category", "CategoryTheory.Ind", "Cat...
false
Ctop.Realizer.mk.sizeOf_spec
Mathlib.Data.Analysis.Topology
[ "Ctop.toTopsp", "instSizeOfDefault", "instOfNatNat", "Ctop", "Ctop.Realizer", "TopologicalSpace", "instHAdd", "Ctop.Realizer.mk", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "Ctop._sizeOf_inst", "SizeOf", "OfNat.ofNat", "Eq", "Ctop.Realizer._sizeOf_inst" ]
true
isQuotientMap_projIcc
Mathlib.Topology.Order.ProjIcc
[ "Set.ext", "OrderTopology", "congrArg", "LinearOrder", "PartialOrder.toPreorder", "Topology.IsCoinducing", "Set.projIcc", "Preorder.toLE", "Membership.mem", "SemilatticeInf.toPartialOrder", "Set.Elem", "DistribLattice.toLattice", "Subtype", "LE.le", "Set.mem_preimage._simp_1", "iff_sel...
true
CategoryTheory.Under.isoMk_hom_right
Mathlib.CategoryTheory.Comma.Over.Basic
[ "CategoryTheory.instCategoryUnder", "CategoryTheory.Comma.right", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.id", "CategoryTheory.Under.hom", "CategoryTheory.Iso", "CategoryTheory.Under.right", "CategoryTheory.Under.isoMk", "CategoryTheory.Under", "autoParam"...
true
PartialEquiv.noConfusion
Mathlib.Logic.Equiv.PartialEquiv
[ "HEq.refl", "PartialEquiv", "Membership.mem", "PartialEquiv.noConfusionType", "PartialEquiv.casesOn", "eq_of_heq", "Eq.ndrec", "HEq", "Eq", "Set.instMembership", "Set" ]
false
_private.Mathlib.Combinatorics.Additive.FreimanHom.0.isAddFreimanHom_antitone.match_1_1
Mathlib.Combinatorics.Additive.FreimanHom
[ "IsAddFreimanHom", "AddCancelCommMonoid", "Multiset", "instOfNatNat", "AddCommMonoid", "instHAdd", "HAdd.hAdd", "Nat", "AddCancelCommMonoid.toAddCommMonoid", "instAddNat", "Nat.zero", "Multiset.card", "OfNat.ofNat", "Nat.succ", "Eq", "Nat.casesOn", "Set" ]
false
CategoryTheory.Abelian.SpectralObject.sequenceΨ_exact
Mathlib.Algebra.Homology.SpectralObject.Differentials
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.Abelian.SpectralObject.cycles", "CategoryTheory.Abelian.SpectralObject.Ψ_opcyclesMap", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Abelian.SpectralObject.cyclesMap_Ψ_exact", "CategoryTheory.Abelian.SpectralObject.opcycle...
true
CategoryTheory.MonoidalOpposite.mopMopEquivalence_inverse_obj_unmop_unmop
Mathlib.CategoryTheory.Monoidal.Opposite
[ "CategoryTheory.MonoidalOpposite.unmop", "CategoryTheory.MonoidalOpposite", "Eq.refl", "Eq", "CategoryTheory.MonoidalOpposite.mopMopEquivalence", "CategoryTheory.Functor.obj", "CategoryTheory.Category", "CategoryTheory.MonoidalOpposite.monoidalOppositeCategory", "CategoryTheory.Equivalence.inverse" ...
true
uniformity_eq_comap_nhds_zero'
Mathlib.Topology.Algebra.IsUniformGroup.Defs
[ "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "AddMonoid.toAddZeroClass", "uniformity", "nhds", "AddZeroClass.toAddZero", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "Prod.fst", "TopologicalSpace", "instHAdd", "AddGroup", "AddGroup.toSubNegMonoid", "H...
true
CategoryTheory.Pseudofunctor.StrongTrans.id._proof_6
Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Pseudo
[ "CategoryTheory.Category.assoc", "CategoryTheory.Iso.inv_hom_id", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Bicategory.whiskerLeft_comp", "CategoryTheory.Bicategory.whiskerRight_id", "congrArg", "CategoryTheory.Bicategory.comp_whiskerRight", "CategoryTheory.Bicategory.r...
false
Std.Tactic.BVDecide.BVExpr.bitblast.blastCpopLayer.go._unary._proof_1
Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.Cpop
[ "Std.Sat.AIG.Decl", "HMul.hMul", "Std.Tactic.BVDecide.BVExpr.bitblast.ExtractTarget.mk", "instMulNat", "instOfNatNat", "LE.le", "instLENat", "Std.Tactic.BVDecide.BVExpr.bitblast.ExtractTarget", "Std.Sat.AIG", "Nat", "Std.Tactic.BVDecide.BVExpr.bitblast.blastExtract", "Hashable", "Std.Sat.AIG...
false
Lean.ScopedEnvExtension.Entry._sizeOf_1
Lean.ScopedEnvExtension
[ "Lean.ScopedEnvExtension.Entry", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Lean.instSizeOfName", "Nat", "SizeOf.sizeOf", "instAddNat", "Lean.Name", "Lean.ScopedEnvExtension.Entry.rec", "SizeOf", "OfNat.ofNat" ]
false
_private.Mathlib.Data.Finset.Insert.0.Finset.singleton_subset_set_iff._proof_1_1
Mathlib.Data.Finset.Insert
[ "Lean.Grind.of_eq_eq_true", "Lean.Grind.eq_false_of_not_eq_true", "Finset.mem_singleton", "False", "Lean.Grind.not_not", "eq_false", "Lean.Grind.iff_eq", "Set.subset_def", "congrArg", "Finset", "Classical.byContradiction", "Lean.Grind.eq_false_of_imp_eq_true", "Membership.mem", "Exists", ...
false
ContinuousAffineEquiv.trans_apply
Mathlib.Topology.Algebra.ContinuousAffineEquiv
[ "AddCommGroup.toAddCommMonoid", "ContinuousAffineEquiv.instFunLike", "AddCommGroup.toAddGroup", "ContinuousAffineEquiv.trans", "AddCommGroup", "ContinuousAffineEquiv", "TopologicalSpace", "AddTorsor", "Module", "Ring.toSemiring", "Eq", "DFunLike.coe", "Ring", "rfl" ]
true
Lean.Firefox.instFromJsonStackTable
Lean.Util.Profiler
[ "Lean.Firefox.instFromJsonStackTable.fromJson", "Lean.Firefox.StackTable", "Lean.FromJson", "Lean.FromJson.mk" ]
true
CliffordAlgebra.EvenHom.rec
Mathlib.LinearAlgebra.CliffordAlgebra.Even
[ "CommRing", "instHSMul", "Semiring.toModule", "HMul.hMul", "CliffordAlgebra.EvenHom", "Algebra.algebraMap", "Ring.toNonAssocRing", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "QuadraticForm", "LinearMap.instFunLike", "Algebra", "RingHom", "Algebra.toSMul", "AddCommGroup", ...
false
MeasureTheory.SignedMeasure.toMeasureOfZeroLE'.eq_1
Mathlib.MeasureTheory.VectorMeasure.Basic
[ "Real.partialOrder", "Real", "ENNReal.ofNNReal", "MeasurableSet", "MeasureTheory.VectorMeasure.measureOf'", "PartialOrder.toPreorder", "PseudoMetricSpace.toUniformSpace", "Preorder.toLE", "MeasureTheory.SignedMeasure", "NNReal.mk", "LE.le", "MeasurableSpace", "MeasureTheory.SignedMeasure.toM...
true
_private.Mathlib.Tactic.SplitIfs.0.Mathlib.Tactic.SplitPosition.target.elim
Mathlib.Tactic.SplitIfs
[ "_private.Mathlib.Tactic.SplitIfs.0.Mathlib.Tactic.SplitPosition", "PULift.up", "_private.Mathlib.Tactic.SplitIfs.0.Mathlib.Tactic.SplitPosition.ctorIdx", "_private.Mathlib.Tactic.SplitIfs.0.Mathlib.Tactic.SplitPosition.target", "Nat", "Eq.symm", "Eq", "_private.Mathlib.Tactic.SplitIfs.0.Mathlib.Tacti...
false
LipschitzOnWith.absolutelyContinuousOnInterval
Mathlib.MeasureTheory.Function.AbsolutelyContinuous
[ "Real.instIsOrderedRing", "Mathlib.Tactic.FieldSimp.zpow'_one", "Mathlib.Tactic.Ring.Common.neg_zero", "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁", "Eq.mpr", "Finset.mul_sum", "GroupWithZero.toMonoidWithZero", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.Ring.Com...
true
_private.Std.Time.Internal.Bounded.0.Std.Time.Internal.Bounded.LE.succ._proof_3
Std.Time.Internal.Bounded
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some", "id", "instDecida...
false
Metric.isBounded_iff_nndist
Mathlib.Topology.MetricSpace.Pseudo.Defs
[ "NNDist.nndist", "Real.instLE", "Real", "_private.Mathlib.Topology.MetricSpace.Pseudo.Defs.0.Metric.isBounded_iff_nndist._simp_1_2", "PseudoMetricSpace.toBornology", "Real.instZero", "Iff.of_eq", "congrArg", "PartialOrder.toPreorder", "PseudoMetricSpace.toNNDist", "Preorder.toLE", "Membership....
true
Qq.Impl.PatVarDecl.mk._flat_ctor
Qq.MatchImpl
[ "Qq.Impl.PatVarDecl", "Lean.Expr.const", "Lean.FVarId", "Qq.Impl.PatVarDecl.mk", "Lean.Level", "Qq.Quoted", "Lean.Name.mkStr2", "Lean.Name", "List.nil", "Option" ]
false
Lean.Compiler.LCNF.UnreachableBranches.getFunVal
Lean.Compiler.LCNF.ElimDeadBranches
[ "Pure.pure", "Lean.Core.instMonadLiftIOCoreM", "IO.instMonadLiftSTRealWorldBaseIO", "instMonadLiftT", "MonadState.get", "IO", "StateRefT'.instMonadStateOfOfMonadLiftTST", "ReaderT.instMonad", "IO.RealWorld", "Lean.Compiler.LCNF.UnreachableBranches.InterpState.funVals", "Lean.Compiler.LCNF.Unreac...
true
Int.Linear.Poly.num.injEq
Init.Data.Int.Linear
[ "Eq.propIntro", "Int.Linear.Poly.num.inj", "Int", "Int.Linear.Poly.num", "Eq.ndrec", "Eq.refl", "Eq", "Int.Linear.Poly" ]
true
AddGrpCat.addGroupObj._proof_10
Mathlib.Algebra.Category.Grp.Limits
[ "CategoryTheory.Functor", "AddGrpCat.instCategory", "AddMonoid.toAddZeroClass", "AddMonoid.nsmul_zero._autoParam", "CategoryTheory.Functor.comp", "AddMonoid.nsmul_zero", "AddZeroClass.toAddZero", "instOfNatNat", "AddGrpCat", "autoParam", "AddGrpCat.addGroupObj._aux_8", "AddGroup.toSubNegMonoid...
false
Lean.Grind.CommRing.Expr.pow.noConfusion
Init.Grind.Ring.CommSolver
[ "Lean.Grind.CommRing.Expr", "id", "Lean.Grind.CommRing.Expr.noConfusion", "Nat", "Eq", "Lean.Grind.CommRing.Expr.pow" ]
false
Finpartition.bind._proof_1
Mathlib.Order.Partition.Finpartition
[ "Eq.mpr", "Lattice", "Function.id_def", "Lattice.toSemilatticeSup", "congrArg", "Finset", "PartialOrder.toPreorder", "Preorder.toLE", "OrderBot", "Membership.mem", "SemilatticeInf.toPartialOrder", "Finset.sup_attach", "id", "Subtype", "Finpartition.parts", "Finset.instSetLike", "Fins...
false
CategoryTheory.IsRegularEpi.of_epi_of_exists
Mathlib.CategoryTheory.Limits.Shapes.RegularMono
[ "CategoryTheory.IsRegularEpi", "Eq.mpr", "CategoryTheory.Limits.pullback", "CategoryTheory.Limits.Cofork.IsColimit.mk'", "CategoryTheory.Epi", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "congrArg", "CategoryTheory.Limits.pullback.snd", "E...
true
CategoryTheory.Limits.IsLimit.mk.injEq
Mathlib.CategoryTheory.Limits.IsLimit
[ "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.Limits.IsLimit.mk", "CategoryTheory.Limits.Cone", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Eq.propIntro", "CategoryTheory.Functor.category", "CategoryTheory.Limits.IsLimit.fac._autoParam", "CategoryTheory.Lim...
true
SSet.Subcomplex.Pairing.instFiniteSubtypeElemNIIAncestralRel
Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.RankNat
[ "SSet.N.instPreorder", "SSet.S.simplex", "Eq.mpr", "SSet.S", "Preorder.toLT", "Opposite", "Equiv.instEquivLike", "SimplexCategory.instFiniteHom", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ConcreteCategory.hom", "Quiver.Hom.op...
true
_private.Lean.Meta.Tactic.Grind.Order.Assert.0.Lean.Meta.Grind.Order.propagateLE._regBuiltin._private.Lean.Meta.Tactic.Grind.Order.Assert.0.Lean.Meta.Grind.Order.propagateLE.declare_1._@.Lean.Meta.Tactic.Grind.Order.Assert.4281489886._hygCtx._hyg.8
Lean.Meta.Tactic.Grind.Order.Assert
[ "Lean.Meta.Grind.registerBuiltinDownwardPropagator", "IO", "Unit", "Lean.Name.mkStr2", "_private.Lean.Meta.Tactic.Grind.Order.Assert.0.Lean.Meta.Grind.Order.propagateLE" ]
false
RingCon.quotientKerEquivRangeₐ._proof_5
Mathlib.RingTheory.Congruence.Hom
[ "Subalgebra.instSetLike", "RingHom.map_add'", "NonAssocSemiring.toAddCommMonoidWithOne", "MulOne.toOne", "AlgHom", "AddMonoid.toAddZeroClass", "Algebra", "Membership.mem", "RingCon.ker", "AddZeroClass.toAddZero", "Subtype", "Distrib.toAdd", "RingCon.instSemiringQuotient", "RingCon.Quotient...
false
Lean.Meta.SorryLabelView.casesOn
Lean.Meta.Sorry
[ "Lean.Meta.SorryLabelView", "Lean.Meta.SorryLabelView.rec", "Lean.DeclarationLocation", "Lean.Meta.SorryLabelView.mk", "Option" ]
false
_private.Mathlib.Data.EReal.Basic.0.Mathlib.Meta.Positivity.evalRealToEReal._sparseCasesOn_4
Mathlib.Data.EReal.Basic
[ "Mathlib.Meta.Positivity.Strictness", "Nat.ne_of_beq_eq_false", "Lean.Expr.const", "Nat.shiftRight", "Nat.hasNotBit", "instOfNatNat", "Lean.Expr.sort", "Lean.Level", "List.cons", "Mathlib.Meta.Positivity.Strictness.rec", "Mathlib.Meta.Positivity.Strictness.nonnegative", "Lean.Literal.natVal", ...
false
Std.Internal.List.containsKey_filter_containsKey_iff
Std.Data.Internal.List.Associative
[ "Eq.mpr", "Std.Internal.List.DistinctKeys", "congrArg", "id", "Bool.and", "Sigma.fst", "iff_self", "Bool.true", "List", "Std.Internal.List.containsKey", "And", "Iff", "EquivBEq", "Bool.and_eq_true", "List.filter", "True", "Bool", "of_eq_true", "congrFun'", "BEq", "Eq", "Sig...
true
CategoryTheory.Sieve.bind
Mathlib.CategoryTheory.Sites.Sieves
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Presieve", "CategoryTheory.Sieve.bind._proof_1", "CategoryTheory.Sieve.arrows", "CategoryTheory.Presieve.bind", "CategoryTheory.Sieve", "CategoryTheory.Sieve.mk", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Cat...
true
_private.Mathlib.Data.Finset.Prod.0.Finset.product_eq_biUnion._proof_1_1
Mathlib.Data.Finset.Prod
[ "Lean.Grind.of_eq_eq_true", "Lean.Grind.eq_false_of_not_eq_true", "of_eq_false", "False", "Lean.Grind.and_eq_of_eq_true_right", "forall_not_of_not_exists", "Lean.Grind.not_not", "Lean.Grind.not_and", "eq_false", "Lean.Grind.iff_eq", "Finset.mem_image", "SProd.sprod", "congrArg", "Finset", ...
false
MulArchimedeanClass.mk_monotoneOn
Mathlib.Algebra.Order.Archimedean.Class
[ "instIsRightCancelMulOfMulRightReflectLE", "Iff.mpr", "IsLeftCancelMul.mulLeftReflectLE_of_mulLeftReflectLT", "Eq.mpr", "Preorder.toLT", "InvOneClass.toOne", "HMul.hMul", "DivisionCommMonoid.toDivisionMonoid", "CommMonoid.toCommSemigroup", "DivInvOneMonoid.toInvOneClass", "IsOrderedMonoid", "M...
true
_private.Mathlib.Analysis.CStarAlgebra.GelfandDuality.0.IsStarNormal.norm_add_eq_max._proof_1_5
Mathlib.Analysis.CStarAlgebra.GelfandDuality
[ "NormedCommRing.toSeminormedCommRing", "NonUnitalCStarAlgebra.toNonUnitalNormedRing", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "DistribMulAction.toDistribSMul", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "IsBoundedSMul.toUniformContinuousConstSMul", ...
false
Std.Do.ExceptConds.imp_intro
Std.Do.PostCond
[ "Std.Do.SPred.entails", "Std.Do.PostShape.rec", "_private.Std.Do.PostCond.0.Std.Do.ExceptConds.imp_intro._simp_1_5", "Std.Do.PostShape.except", "congrArg", "and_self", "Std.Do.Assertion", "Std.Do.PostShape.arg", "id", "Std.Do.PostShape", "Std.Do.PostShape.pure", "Std.Do.ExceptConds.imp", "St...
true
_private.Mathlib.Topology.UniformSpace.Closeds.0.TopologicalSpace.Compacts.instCompleteSpace.match_5
Mathlib.Topology.UniformSpace.Closeds
[ "Filter.instMembership", "UniformSpace", "SetRel", "uniformity", "instTopologicalSpaceProd", "Membership.mem", "And.casesOn", "IsClosed", "And", "And.intro", "Prod", "UniformSpace.toTopologicalSpace", "Filter" ]
false
UpperHalfPlane.num_scalar
Mathlib.Analysis.Complex.UpperHalfPlane.MoebiusAction
[ "Units.val", "MulOne.toOne", "False", "Real", "MonoidHom.instFunLike", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "UpperHalfPlane.coe", "MonoidHom", "Monoid.toMulOneClass", "congrArg", "Matrix", "Fin.instNonUnitalCommRing", "Fin.instNeZeroHAddNatOfNat_mathlib_1", "AddM...
true
Lean.Firefox.ThreadWithCollideMaps.nativeSymbols._inherited_default
Lean.Util.Profiler
[ "Lean.Json", "Lean.Firefox.ResourceTable.mk", "id", "instOfNatNat", "List.toArray", "Nat", "Lean.Firefox.ResourceTable", "OfNat.ofNat", "List.nil" ]
false
Lean.Grind.Linarith.Expr.recOn
Init.Grind.Ordered.Linarith
[ "Lean.Grind.Linarith.Expr.zero", "Lean.Grind.Linarith.Expr", "Lean.Grind.Linarith.Expr.neg", "Lean.Grind.Linarith.Expr.intMul", "Lean.Grind.Linarith.Expr.natMul", "Lean.Grind.Linarith.Expr.rec", "Lean.Grind.Linarith.Expr.sub", "Int", "Lean.Grind.Linarith.Var", "Lean.Grind.Linarith.Expr.add", "Na...
false
Nat.succ_ne_self
Init.Data.Nat.Basic
[ "Nat.lt_succ_self", "Ne", "Nat", "Nat.succ", "Nat.ne_of_gt" ]
true
Group.isFinitelyPresented_iff
Mathlib.GroupTheory.FinitelyPresentedGroup
[ "MonoidHom.instFunLike", "MonoidHom", "Monoid.toMulOneClass", "Group", "Group.IsFinitelyPresented", "Exists", "DivInvMonoid.toMonoid", "Group.toDivInvMonoid", "MonoidHom.ker", "MulOneClass.toMulOne", "And", "Iff", "Group.IsFinitelyPresented.mk", "Nat", "Iff.intro", "Subgroup.IsNormalCl...
true
NNReal.instConditionallyCompleteLinearOrderBot._proof_10
Mathlib.Data.NNReal.Defs
[ "Real", "Real.instZero", "PartialOrder.toPreorder", "Preorder.toLE", "Subtype", "LE.le", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", "Subtype.mk", "Real.instConditionallyCompleteLinearOrder", "Zero.toOfNat0", "ConditionallyCompletePartialOrderSup.toPartialOrder", "Condit...
false
_private.Lean.Compiler.LCNF.ElimDeadBranches.0.Lean.Compiler.LCNF.UnreachableBranches.decLt
Lean.Compiler.LCNF.ElimDeadBranches
[ "Lean.Name.quickLt", "Prod.fst", "Bool", "Lean.Name", "Prod", "Lean.Compiler.LCNF.UnreachableBranches.Value" ]
true
CategoryTheory.Limits.chosenEnd.π_apply
Mathlib.CategoryTheory.Limits.Types.End
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "Quiver.Hom.op", "CategoryTheory.Functor.category", "TypeCat.instFunLikeFun", "CategoryTheory.Limits.chosenEnd.π", "CategoryTheory.Limits.Types.end_", "CategoryThe...
true
Std.Time.Day.instSubOffset._aux_1
Std.Time.Date.Unit.Day
[ "Rat.instOfNat", "Rat", "Std.Time.Day.Offset", "Std.Time.Internal.UnitVal.sub", "OfNat.ofNat" ]
false
Lean.Meta.Grind.Arith.Cutsat.DiseqCnstrProof.core0.elim
Lean.Meta.Tactic.Grind.Arith.Cutsat.Types
[ "PULift.up", "Lean.Meta.Grind.Arith.Cutsat.DiseqCnstrProof.ctorIdx", "Lean.Expr", "Nat", "Eq.symm", "Eq", "Lean.Meta.Grind.Arith.Cutsat.DiseqCnstrProof.ctorElim", "Lean.Meta.Grind.Arith.Cutsat.DiseqCnstrProof", "Lean.Meta.Grind.Arith.Cutsat.DiseqCnstrProof.core0" ]
false
UniformSpace.nhds_basis_clopens
Mathlib.Topology.UniformSpace.Ultra.Basic
[ "Filter.instMembership", "UniformSpace", "le_rfl", "SetRel", "nhds_basis_uniformity'", "uniformity", "PartialOrder.toPreorder", "UniformSpace.isClopen_ball_of_isSymm_of_isTrans_of_mem_uniformity", "Membership.mem", "Exists", "nhds", "CompleteLattice.toConditionallyCompleteLattice", "id", "...
true
_private.Mathlib.Data.Fin.Tuple.NatAntidiagonal.0.List.Nat.antidiagonalTuple.match_1.splitter
Mathlib.Data.Fin.Tuple.NatAntidiagonal
[ "instOfNatNat", "Unit", "Nat", "List.Nat.antidiagonalTuple.match_1", "OfNat.ofNat", "Nat.succ" ]
true
IsOfFinOrder.fst
Mathlib.GroupTheory.OrderOfElement
[ "Monoid", "IsOfFinOrder.mono", "Prod.fst", "Prod.instMonoid", "orderOf_fst_dvd_orderOf", "Prod", "IsOfFinOrder" ]
true
PowerBasis.equivOfMinpoly
Mathlib.RingTheory.PowerBasis
[ "PowerBasis", "CommRing", "CommSemiring.toSemiring", "PowerBasis.gen", "Algebra", "PowerBasis.equivOfMinpoly._proof_1", "minpoly", "Polynomial", "PowerBasis.equivOfMinpoly._proof_2", "CommRing.toCommSemiring", "AlgEquiv", "PowerBasis.equivOfRoot", "Ring.toSemiring", "Eq", "Ring" ]
true
_private.Lean.Compiler.LCNF.Basic.0.Lean.Compiler.LCNF.LetValue.updatePapImp.match_1
Lean.Compiler.LCNF.Basic
[ "Lean.Compiler.LCNF.Arg", "Lean.Compiler.LCNF.LetValue.pap", "Lean.Compiler.LCNF.LetValue", "Nat.hasNotBit", "Lean.Compiler.LCNF.Purity", "Array", "Lean.Compiler.LCNF.Purity.impure", "Lean.Compiler.LCNF.LetValue.ctorIdx", "Lean.Name", "_private.Lean.Compiler.LCNF.Basic.0.Lean.Compiler.LCNF.LetValu...
false
_private.Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Formula.0.WeierstrassCurve.Projective.toAffine_slope_of_eq._simp_1_1
Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Formula
[ "False", "eq_false", "instOfNatNat", "two_ne_zero", "Nat", "Zero.toOfNat0", "NeZero", "OfNat.ofNat", "Eq", "OfNat", "Zero" ]
false
CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct
Mathlib.CategoryTheory.Monoidal.Action.Basic
[ "CategoryTheory.MonoidalCategoryStruct", "CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.mk", "CategoryTheory.Category" ]
true
HahnEmbedding.ArchimedeanStrata.stratum'
Mathlib.Algebra.Order.Module.HahnEmbedding
[ "Submodule", "Ring.toNonAssocRing", "IsOrderedRing", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "Submodule.addCommMonoid", "LinearOrder", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "AddCommGroup.toAddGroup", "Membership.mem", "SemilatticeInf.toPartialOrder", ...
true
_private.Lean.Meta.HaveTelescope.0.Lean.Meta.SimpHaveResult.ctorIdx
Lean.Meta.HaveTelescope
[ "_private.Lean.Meta.HaveTelescope.0.Lean.Meta.SimpHaveResult", "Nat" ]
false
HurwitzKernelBounds.F_int
Mathlib.NumberTheory.ModularForms.JacobiTheta.Bounds
[ "HurwitzKernelBounds.f_int", "Real", "PseudoMetricSpace.toUniformSpace", "Function.Periodic.lift", "Real.instAddGroup", "Int", "Real.instOne", "tsum", "UnitAddCircle", "Nat", "HurwitzKernelBounds.F_int._proof_3", "Real.instAddCommMonoid", "One.toOfNat1", "Real.pseudoMetricSpace", "OfNat....
true
Std.TreeMap.containsThenInsertIfNew_snd
Std.Data.TreeMap.Lemmas
[ "Std.TreeMap.insertIfNew", "Std.DTreeMap.containsThenInsertIfNew_snd", "Std.TreeMap.inner", "Ordering", "Std.TransCmp", "_private.Std.Data.TreeMap.Lemmas.0.Std.TreeMap.ext", "Bool", "Eq", "Prod.snd", "Std.TreeMap", "Std.TreeMap.containsThenInsertIfNew" ]
true
SheafOfModules.Presentation.casesOn
Mathlib.Algebra.Category.ModuleCat.Sheaf.Quasicoherent
[ "CategoryTheory.Functor", "Opposite", "AddCommGrpCat.hasLimitsOfShape", "CategoryTheory.CategoryStruct.toQuiver", "AddCommGrpCat.instCategory", "Quiver.Hom", "ModuleCat", "CategoryTheory.Limits.WalkingParallelPair", "AddCommGroup.toAddCommMonoid", "SheafOfModules.Presentation", "AddMonoid.toAddZ...
false
Lean.Meta.ACLt.ReduceMode.none.elim
Lean.Meta.ACLt
[ "PULift.up", "Lean.Meta.ACLt.ReduceMode.ctorIdx", "Lean.Meta.ACLt.ReduceMode.none", "Lean.Meta.ACLt.ReduceMode", "Nat", "Lean.Meta.ACLt.ReduceMode.ctorElim", "Eq.symm", "Eq" ]
false
HomologicalComplex.dTo_eq
Mathlib.Algebra.Homology.HomologicalComplex
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HomologicalComplex", "CategoryTheory.CategoryStruct.id", "ComplexShape.prev", "ComplexShape", "ComplexShape.prev_eq'", "HomologicalComplex.dTo", "HomologicalComplex.xPrevIso", "HomologicalComplex.x...
true