name
stringlengths
2
347
module
stringlengths
6
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deps
listlengths
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allowCompletion
bool
2 classes
_private.Mathlib.MeasureTheory.Measure.SubFinite.0.MeasureTheory.Measure.withDensity_sub._simp_1_2
Mathlib.MeasureTheory.Measure.SubFinite
[ "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "HSub.hSub", "Preorder.toLE", "AddZeroClass.toAddZero", "PartialOrder", "OrderedSub", "tsub_eq_zero_iff_le", "LE.le", "CanonicallyOrderedAdd", "AddCommMonoid", "AddZero.toZero", "instHSub", "propext", "Zero.toOfNat0", "AddCommMonoi...
false
List.lookup_replicate_ne
Init.Data.List.Find
[ "List.replicate", "False", "Bool.not", "congrArg", "ite_self", "Bool.false_eq_true", "Option.some", "Eq.mp", "id", "instDecidableEqBool", "Prod.mk", "instOfNatNat", "Bool.true", "Option.none", "BEq.beq", "List.lookup", "Nat", "True", "List.lookup_replicate", "eq_self", "Bool....
true
CategoryTheory.Arrow.mk_surjective
Mathlib.CategoryTheory.Comma.Arrow
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Exists", "CategoryTheory.Arrow.left", "CategoryTheory.Arrow.hom", "Exists.intro", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Arrow", "CategoryTheory.Arrow.mk", "Eq", "CategoryTheory.Arrow.right", "rfl", "CategoryTheory...
true
Subgroup.card_eq_iff_eq_top
Mathlib.Algebra.Group.Subgroup.Finite
[ "Eq.mpr", "Subgroup.eq_top_of_card_eq", "Subgroup.card_top", "congrArg", "Finite", "Group", "Membership.mem", "id", "Subtype", "Nat.card", "Subgroup", "funext", "Iff", "Nat", "Iff.intro", "Subgroup.instTop", "congrFun'", "Top.top", "Eq", "SetLike.instMembership", "Subgroup.in...
true
CategoryTheory.Functor.FullyFaithful.compUliftYonedaCompWhiskeringLeft._proof_1
Mathlib.CategoryTheory.Yoneda
[ "CategoryTheory.Functor.FullyFaithful.preimage_map", "CategoryTheory.Functor.FullyFaithful.map_injective", "CategoryTheory.Functor.op", "CategoryTheory.Functor", "Opposite", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.NatTrans.ext'", "Quiver.Hom", "congrArg", ...
false
Std.Shrink.deflate
Init.Data.Iterators.Basic
[ "Std.Shrink", "cast", "_private.Init.Data.Iterators.Basic.0.Std.Shrink.deflate._proof_1" ]
true
IicProdIoc_le
Mathlib.Probability.Kernel.IonescuTulcea.Maps
[ "dite_cond_eq_true", "Iff.mpr", "IicProdIoc._proof_1", "congrArg", "Finset", "LinearOrder", "PartialOrder.toPreorder", "Finset.mem_Iic", "Preorder.toLE", "Function.comp", "Membership.mem", "SemilatticeInf.toPartialOrder", "LocallyFiniteOrderBot", "DistribLattice.toLattice", "Subtype", ...
true
Ideal.IsHomogeneous.radical_eq
Mathlib.RingTheory.GradedAlgebra.Radical
[ "SetLike", "Eq.mpr", "CommRing", "Semiring.toModule", "LinearOrder.toDecidableEq", "congrArg", "CommSemiring.toSemiring", "LinearOrder", "Submodule.completeLattice", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "setOf", "AddGroupWithOne.toAddMonoidWithOne", "sInf_le_sInf", "Pre...
true
Subalgebra.comap_map_eq
Mathlib.Algebra.Algebra.Subalgebra.Lattice
[ "Subalgebra.instSetLike", "Iff.mpr", "Set.singleton_subset_iff", "Eq.mpr", "Lattice.toSemilatticeSup", "MonoidHom.instFunLike", "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass", "AlgHom.algHomClass", "map_sub", "outParam", "MonoidHom", "Algebra.map_sup", "sub_self", "Monoid.toMulO...
true
_private.Mathlib.CategoryTheory.SmallObject.IsCardinalForSmallObjectArgument.0.CategoryTheory.SmallObject.llp_rlp_of_isCardinalForSmallObjectArgument_aleph0._simp_1_1
Mathlib.CategoryTheory.SmallObject.IsCardinalForSmallObjectArgument
[ "Ordinal.type_eq", "Ordinal.type", "IsWellOrder", "RelIso", "propext", "Nonempty", "Eq.symm", "Eq", "Ordinal" ]
false
Ideal.Filtration.submodule._proof_2
Mathlib.RingTheory.Filtration
[ "AddGroup.toSubtractionMonoid", "Finsupp.instFunLike", "Submodule", "CommRing", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "setOf", "AddCommGroup.toAddGroup", "Membership.mem", "AddZeroClass.toAddZero", "AddCommGroup", "SubtractionMonoid.toSubNegZe...
false
Complex.HadamardThreeLines.norm_le_interpStrip_of_mem_verticalClosedStrip_eps
Mathlib.Analysis.Complex.Hadamard
[ "DiffContOnCl", "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring", "Norm.norm", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "InnerProductSpace.toNormedSpace", "MulOne.toOne", "Real.instPow", "Real.partialOrder", "Real.instLE", "Real.rpow_pos_of_pos", "Semigroup.toMul", "Real", "i...
true
Std.Internal.IO.Process.PId.noConfusion
Std.Internal.Async.Process
[ "UInt64", "Std.Internal.IO.Process.PId.noConfusionType", "Std.Internal.IO.Process.PId.casesOn", "Eq.ndrec", "Eq.refl", "Std.Internal.IO.Process.PId", "Eq" ]
false
CategoryTheory.ChosenPullbacksAlong.pullbackCone._proof_1
Mathlib.CategoryTheory.LocallyCartesianClosed.ChosenPullbacksAlong
[ "Eq.mpr", "CategoryTheory.ChosenPullbacksAlong", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ChosenPullbacksAlong.snd", "id", "CategoryTheory.ChosenPullbacksAlong.pullbackObj", "CategoryTheory.ChosenPullbacksAlong.condition", "CategoryTheory.CategoryStruct.c...
false
_private.Init.Data.Array.GetLit.0.Array.toListLitAux.match_1.eq_2
Init.Data.Array.GetLit
[ "instOfNatNat", "LE.le", "instLENat", "Array", "List", "instHAdd", "HAdd.hAdd", "Nat", "instAddNat", "Eq.refl", "OfNat.ofNat", "Nat.succ", "Eq", "Array.toListLitAux.match_1", "Array.size" ]
true
_private.Mathlib.Logic.Equiv.List.0.Encodable.length_le_encode.match_1_1
Mathlib.Logic.Equiv.List
[ "Unit.unit", "List.cons", "List", "Unit", "List.casesOn", "List.nil" ]
false
PowerSeries.X_ne_zero
Mathlib.RingTheory.PowerSeries.Basic
[ "Nontrivial", "NonAssocSemiring.toAddCommMonoidWithOne", "False", "MvPowerSeries.instZero", "NeZero.one", "Semiring.toModule", "_private.Mathlib.RingTheory.PowerSeries.Basic.0.PowerSeries.X_ne_zero._simp_1_1", "SemilinearMapClass.distribMulActionSemiHomClass", "congrArg", "False.elim", "AddMonoi...
true
CategoryTheory.Pseudofunctor.StrongTrans.Hom.noConfusionType
Mathlib.CategoryTheory.Bicategory.Modification.Pseudo
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Pseudofunctor.StrongTrans.Modification", "CategoryTheory.Bicategory", "CategoryTheory.Pseudofunctor.StrongTrans.Hom", "CategoryTheory.Pseudofunctor", "CategoryTheory.Pseudofunctor.StrongTrans.Hom.casesOn", "HEq", "CategoryTheory...
false
lowerBounds_le_upperBounds
Mathlib.Order.Bounds.Basic
[ "lowerBounds", "Preorder.toLE", "Membership.mem", "upperBounds", "LE.le", "Set.Nonempty", "Set.instMembership", "_private.Mathlib.Order.Bounds.Basic.0.lowerBounds_le_upperBounds.match_1_1", "Preorder", "le_trans", "Set" ]
true
Module.End.HasUnifEigenvector.pow_apply
Mathlib.LinearAlgebra.Eigenspace.Basic
[ "MulOne.toOne", "CommRing", "Nat.recAux", "instHSMul", "Module.End.instMonoid", "SemilinearMapClass.toMulActionSemiHomClass", "instAddMonoidWithOneENat", "HMul.hMul", "Monoid.toMulOneClass", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoi...
true
_private.Lean.Meta.Tactic.Injection.0.Lean.Meta.injection.match_1
Lean.Meta.Tactic.Injection
[ "Unit.unit", "Lean.MVarId", "Lean.Meta.InjectionResultCore.casesOn", "Unit", "Lean.Meta.InjectionResultCore.solved", "Nat", "Lean.Meta.InjectionResultCore", "Lean.Meta.InjectionResultCore.subgoal" ]
false
MeasureTheory.Measure.measure_Ioo_pos
Mathlib.MeasureTheory.Measure.OpenPos
[ "OrderTopology", "MeasureTheory.Measure", "Preorder.toLT", "isOpen_Ioo", "LinearOrder", "PartialOrder.toPreorder", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "Set.nonempty_Ioo", "OrderTopology.to_orderClosedTopology", "MeasurableSpace", "TopologicalSpace", "MeasureTheory.Me...
true
Real.log_five_lt_d9
Mathlib.Analysis.Complex.ExponentialBounds
[ "NormedCommRing.toNormedRing", "Int.cast", "Real.instNNRatCast", "NonAssocSemiring.toAddCommMonoidWithOne", "lt_of_le_of_lt", "Real", "NNRatCast.toOfScientific", "instHDiv", "Mathlib.Meta.NormNum.IsNat.to_isNNRat", "GroupWithZero.toDivisionMonoid", "NormedRing.toRing", "HMul.hMul", "DivInvOn...
true
_private.Mathlib.RingTheory.WittVector.MulP.0.WittVector.wittMulN.match_1.eq_1
Mathlib.RingTheory.WittVector.MulP
[ "Unit.unit", "instOfNatNat", "Unit", "Nat", "WittVector.wittMulN.match_1", "Eq.refl", "OfNat.ofNat", "Nat.succ", "Eq" ]
true
_private.Lean.Meta.Sym.Pattern.0.Lean.Meta.Sym.isAssignedMVar
Lean.Meta.Sym.Pattern
[ "Pure.pure", "_private.Lean.Meta.Sym.Pattern.0.Lean.Meta.Sym.isAssignedMVar.match_1", "Lean.Meta.State", "Lean.MVarId", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "Applicative.toPure", "Lean.MVarId.isAssigned", "Lean.Core.CoreM", "Lean.Meta.instMonadMetaM", "StateRefT'", "StateRefT'.ins...
true
PseudoMetricSpace.ext
Mathlib.Topology.MetricSpace.Pseudo.Defs
[ "Filter.instMembership", "Bornology.ext", "UniformSpace", "Eq.mpr", "PseudoMetricSpace.casesOn", "Real.instLE", "Real", "iInf", "Filter.mem_sets", "Real.instZero", "ENNReal.ofReal", "congrArg", "Compl.compl", "Filter.instInfSet", "Iff.rfl", "uniformity", "setOf", "Real.instLT", "...
true
_private.Mathlib.Algebra.Homology.Factorizations.CM5a.0.CochainComplex.Plus.modelCategoryQuillen.cm5a_cof.π.eq_1
Mathlib.Algebra.Homology.Factorizations.CM5a
[ "CategoryTheory.Abelian.toPreadditive", "HomologicalComplex.instCategory", "Opposite", "CategoryTheory.Mono", "CategoryTheory.Factorisation", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AddGroupWithOne.toAddMonoidWithOne", "AddRightCancelSemigroup.toAddSemigroup", "AddCancelMonoid.toA...
true
Submodule.subtype_apply
Mathlib.Algebra.Module.Submodule.LinearMap
[ "Submodule", "Submodule.addCommMonoid", "LinearMap.instFunLike", "Membership.mem", "Subtype", "Submodule.module", "LinearMap", "AddCommMonoid", "Submodule.setLike", "Submodule.subtype", "Semiring", "Module", "Subtype.val", "RingHom.id", "Semiring.toNonAssocSemiring", "Eq", "DFunLike....
true
IsIntegral.smul
Mathlib.RingTheory.IntegralClosure.Algebra.Basic
[ "Subalgebra.instSetLike", "Eq.mpr", "CommRing", "instHSMul", "Algebra.algebraMap", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsScalarTower", "AddMonoid.toAddZeroClass", "Algebra.subset_adjoin", "Algebra", "Algebra.adjoin", "RingHom", "Algebra.toSMul", "M...
true
CauSeq.Completion.Cauchy.ring._proof_14
Mathlib.Algebra.Order.CauSeq.Completion
[ "NonUnitalNonAssocSemiring.nat_isScalarTower", "CauSeq.Completion.Cauchy.ring._proof_8", "Semigroup.toMul", "instHSMul", "HMul.hMul", "CauSeq.Completion.Cauchy.ring._proof_1", "CauSeq.pow_equiv_pow", "Ring.toNonAssocRing", "CauSeq.Completion.Cauchy.ring._proof_5", "CauSeq.ring", "LinearOrder", ...
false
meromorphicOrderAt_neg
Mathlib.Analysis.Meromorphic.Order
[ "NormedCommRing.toNormedRing", "AddGroup.toSubtractionMonoid", "Eq.mpr", "instDecidableNot", "NegZeroClass.toNeg", "NormedCommRing.toSeminormedCommRing", "SubtractionMonoid.toInvolutiveNeg", "False", "instHSMul", "Pi.instNeg", "NormedRing.toRing", "NormedSpace", "eq_false", "Classical.not_...
true
MeasureTheory.VectorMeasure.MutuallySingular
Mathlib.MeasureTheory.VectorMeasure.Basic
[ "MeasurableSet", "Compl.compl", "AddMonoid.toAddZeroClass", "MeasureTheory.VectorMeasure.measureOf'", "Exists", "AddZeroClass.toAddZero", "HasSubset.Subset", "Set.instCompl", "AddCommMonoid", "MeasurableSpace", "TopologicalSpace", "AddZero.toZero", "And", "Zero.toOfNat0", "MeasureTheory....
true
Subtype.decidableLE
Mathlib.Order.Basic
[ "Preorder.toLE", "Subtype", "DecidableLE", "Subtype.val", "Preorder", "Subtype.instLE" ]
true
_private.Mathlib.GroupTheory.Coset.Basic.0.QuotientGroup.leftRel_prod._simp_1_1
Mathlib.GroupTheory.Coset.Basic
[ "HMul.hMul", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "Group", "Group.toDivisionMonoid", "Membership.mem", "DivisionMonoid.toDivInvOneMonoid", "QuotientGroup.leftRel", "MulOne.toMul", "DivInvMonoid.toMonoid", "Subgroup", "Group.toDivInvMonoid", "MulOneClass.toMulOne", "Inv....
false
Polynomial.gaussNorm_coe_powerSeries
Mathlib.RingTheory.Polynomial.GaussNorm
[ "dite_cond_eq_true", "Iff.mpr", "_private.Mathlib.RingTheory.Polynomial.GaussNorm.0.Polynomial.aux_bdd", "Eq.mpr", "False", "Real.partialOrder", "Real.instLE", "Real", "MvPowerSeries.instZero", "Semiring.toModule", "HMul.hMul", "eq_false", "Classical.not_not._simp_1", "Real.instZero", "c...
true
AddUnits.neg_add_cancel_left
Mathlib.Algebra.Group.Units.Defs
[ "Eq.mpr", "AddUnits.val", "AddMonoid.toAddSemigroup", "congrArg", "add_assoc", "AddMonoid.toAddZeroClass", "AddUnits.neg_add", "AddZeroClass.toAddZero", "id", "zero_add", "AddZero.toZero", "instHAdd", "AddSemigroup.toAdd", "HAdd.hAdd", "AddMonoid", "AddZero.toAdd", "Zero.toOfNat0", ...
true
Filter.smul_tendsto_smul_iff._simp_2
Mathlib.Order.Filter.Pointwise
[ "instHSMul", "Group", "DivInvMonoid.toMonoid", "Group.toDivInvMonoid", "Filter.instSMulFilter", "Filter.Tendsto", "MulAction", "propext", "Pi.instSMul", "Monoid.toSemigroup", "HSMul.hSMul", "SemigroupAction.toSMul", "Filter.smul_tendsto_smul_iff", "MulAction.toSemigroupAction", "Eq", "...
false
IsArithFrobAt.exists_of_isInvariant
Mathlib.RingTheory.Frobenius
[ "PNat.val", "iterateFrobeniusEquiv", "Ideal.Quotient.commSemiring", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "NonAssocSemiring.toAddCommMonoidWithOne", "RingHom.instRingHomClass", "Submodule.instAddCommMonoidWithOne", "Ideal.algebraMap_quotient_injective", "Ideal.instAlgebraQuotientComapRingHom...
true
BooleanSubalgebra.instBooleanAlgebraCoe._proof_1
Mathlib.Order.BooleanSubalgebra
[ "BooleanAlgebra", "BooleanSubalgebra", "Iff.rfl", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "SemilatticeInf.toPartialOrder", "Subtype", "BiheytingAlgebra.toCoheytingAlgebra", "LE.le", "BooleanAlgebra.toBiheytingAlgebra", "Iff", "CoheytingAlgebra.toGeneralizedCoheytingAlge...
false
AlgebraicGeometry.Scheme.Hom.homeomorph_apply
Mathlib.AlgebraicGeometry.Scheme
[ "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "CategoryTheory.IsIso", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "CommRingCat", "TopCat.instCategory", ...
true
IsRelPrime.prod_right_iff
Mathlib.RingTheory.Coprime.Lemmas
[ "congrArg", "Finset", "Membership.mem", "IsRelPrime", "Eq.mp", "DecompositionMonoid", "Finset.prod", "_private.Mathlib.RingTheory.Coprime.Lemmas.0.IsRelPrime.prod_right_iff._simp_1_1", "Iff", "Finset.instSetLike", "CommMonoid.toMonoid", "implies_congr", "congr", "Monoid.toSemigroup", "Is...
true
Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt
Mathlib.Tactic.Linarith.Lemmas
[ "Preorder.toLT", "LinearOrder", "PartialOrder.toPreorder", "le_of_not_gt", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "le_antisymm", "LT.lt", "Eq", "Not", "instDistribLatticeOfLinearOrder", "Lattice.toSemilatticeInf" ]
true
Std.HashMap.get!_diff
Std.Data.HashMap.Lemmas
[ "Inhabited.default", "Std.DHashMap.Const.get!_diff", "Membership.mem", "Std.HashMap", "LawfulHashable", "SDiff.sdiff", "EquivBEq", "Std.HashMap.get!", "Std.HashMap.instDecidableMem", "Inhabited", "Hashable", "Std.HashMap.instSDiff", "Std.HashMap.inner", "BEq", "Eq", "Std.HashMap.instMe...
true
CategoryTheory.Abelian.AbelianStruct.imageι
Mathlib.CategoryTheory.Abelian.Basic
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Preadditive", "CategoryTheory.Abelian.AbelianStruct", "CategoryTheory.Abelian.AbelianStruct.image", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Category" ]
true
Affine.Simplex.centroid_mem_median
Mathlib.LinearAlgebra.AffineSpace.Simplex.Centroid
[ "Eq.mpr", "GroupWithZero.toMonoidWithZero", "instDecidableNot", "MulOne.toOne", "Affine.Simplex.points", "False", "Nat.instMulZeroClass", "Semigroup.toMul", "DivInvMonoid.toInv", "instHSMul", "instHDiv", "HMul.hMul", "GroupWithZero.toDivInvMonoid", "of_decide_eq_true", "AddMonoid.toAddSe...
true
Bundle.Pretrivialization.IsLinear.recOn
Mathlib.Topology.VectorBundle.Basic
[ "Bundle.Pretrivialization.IsLinear.mk", "Bundle.Pretrivialization.IsLinear", "Bundle.Pretrivialization.IsLinear.rec", "Membership.mem", "Bundle.TotalSpace.mk", "Bundle.Pretrivialization.toFun'", "AddCommMonoid", "Bundle.Pretrivialization", "TopologicalSpace", "Bundle.TotalSpace.proj", "Bundle.To...
false
_private.Mathlib.Analysis.Complex.Trigonometric.0.Real.abs_sin_le_one._simp_1_1
Mathlib.Analysis.Complex.Trigonometric
[ "Monoid", "HMul.hMul", "Monoid.toMulOneClass", "MulOne.toMul", "instOfNatNat", "sq", "Monoid.toPow", "MulOneClass.toMulOne", "HPow.hPow", "Nat", "instHPow", "OfNat.ofNat", "Eq.symm", "Eq", "instHMul" ]
false
CategoryTheory.Limits.KernelFork.map
Mathlib.CategoryTheory.Limits.Preserves.Shapes.Kernels
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Functor", "CategoryTheory.Limits.KernelFork.ofι", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.Limits.KernelFork", "CategoryTheory.Limits.walkingParallelPairHomCategory", ...
true
_private.Mathlib.Algebra.Group.Subgroup.Lattice.0.Subgroup.mem_sup'._simp_1_1
Mathlib.Algebra.Group.Subgroup.Lattice
[ "SetLike", "Membership.mem", "Exists", "Subtype", "Subtype.mk", "propext", "Eq", "SetLike.instMembership", "SetLike.exists" ]
false
Nat.Primrec'.natPair
Mathlib.Computability.Primrec.List
[ "HMul.hMul", "List.Vector.head", "Nat.Primrec'.if_lt", "Nat.Primrec'.head", "List.Vector", "instMulNat", "instOfNatNat", "Nat.Primrec'.add", "Nat.pair", "instHAdd", "HAdd.hAdd", "Nat", "instAddNat", "Nat.Primrec'.comp₂", "Nat.Primrec'.tail", "Nat.Primrec'", "OfNat.ofNat", "Nat.Prim...
true
_private.Mathlib.Tactic.Simps.Basic.0.Simps.findAutomaticProjections.match_1
Mathlib.Tactic.Simps.Basic
[ "Option.ctorIdx", "Option.some", "Lean.Expr", "Nat.hasNotBit", "Prod.mk", "Lean.Name", "Prod", "Prod.casesOn", "_private.Mathlib.Tactic.Simps.Basic.0.Simps.findProjectionIndices._sparseCasesOn_1", "Option" ]
false
_private.Std.Sat.CNF.Dimacs.0.Std.Sat.CNF.DimacsState.casesOn
Std.Sat.CNF.Dimacs
[ "_private.Std.Sat.CNF.Dimacs.0.Std.Sat.CNF.DimacsState.mk", "_private.Std.Sat.CNF.Dimacs.0.Std.Sat.CNF.DimacsState", "Nat", "_private.Std.Sat.CNF.Dimacs.0.Std.Sat.CNF.DimacsState.rec" ]
false
ClosedSubmodule.toSubmodule_le_toSubmodule._simp_1
Mathlib.Topology.Algebra.Module.ClosedSubmodule
[ "Submodule", "ClosedSubmodule.instPartialOrder", "PartialOrder.toPreorder", "Preorder.toLE", "ClosedSubmodule.toSubmodule", "Submodule.instPartialOrder", "LE.le", "AddCommMonoid", "ClosedSubmodule", "TopologicalSpace", "ClosedSubmodule.toSubmodule_le_toSubmodule", "propext", "Semiring", "M...
false
DirectLimit.instGroup._proof_1
Mathlib.Algebra.Colimit.DirectLimit
[ "DivInvMonoid.toInv", "map_inv", "Monoid.toMulOneClass", "Group", "Preorder.toLE", "Group.toDivisionMonoid", "DivInvMonoid.toMonoid", "LE.le", "DivisionMonoid.toDivInvMonoid", "Group.toDivInvMonoid", "MulOneClass.toMulOne", "Inv.inv", "MonoidHomClass", "Eq", "DFunLike.coe", "Preorder",...
false
_private.Mathlib.Analysis.SpecialFunctions.Trigonometric.Cotangent.0.tendsto_euler_sin_prod'._simp_1_7
Mathlib.Analysis.SpecialFunctions.Trigonometric.Cotangent
[ "False", "eq_false", "AddMonoid.toAddSemigroup", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "AddMonoidWithOne.toNatCast", "Nat.cast", "CharZero", "Nat.cast_add_one_ne_zero", "AddMonoidWithOne.toOne", "AddZero.toZero", "instHAdd", "AddSemigroup.toAdd", "HAdd.hAdd", "Nat", "On...
false
NNReal.coe_mk
Mathlib.Data.NNReal.Defs
[ "Real.instLE", "Real", "Real.instZero", "NNReal.mk", "LE.le", "Zero.toOfNat0", "OfNat.ofNat", "Eq", "NNReal.toReal", "rfl" ]
true
CategoryTheory.Limits.PushoutCocone.flipIsColimit
Mathlib.CategoryTheory.Limits.Shapes.Pullback.PullbackCone
[ "CategoryTheory.Limits.WalkingSpan", "CategoryTheory.Limits.PushoutCocone.flipIsColimit._proof_1", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.PushoutCocone.inr", "CategoryTheory.Limits.PushoutCocone.IsColimit.mk", "CategoryTheory.Limits.IsColimit", "CategoryTheory.L...
true
WeakDual.CharacterSpace.continuousMapEval
Mathlib.Topology.ContinuousMap.Ideals
[ "Nontrivial", "WeakDual.CharacterSpace.continuousMapEval._proof_4", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "CommRing.toNonUnitalCommRing", "IsTopologicalRing.toIsTopologicalSemiring", "CommSemiring.toSemiring", "IsSemitopologicalRing.toIsSemitopologicalSemi...
true
AlgebraicGeometry.AffineSpace.homOverEquiv._proof_1
Mathlib.AlgebraicGeometry.AffineSpace
[ "Eq.mpr", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "Lattice.toSemilatticeSup", "Opposite", "CommRingCat.carrier", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CompleteLattice.toLattice"...
false
Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula.deleteOne.match_1
Std.Tactic.BVDecide.LRAT.Internal.Formula.Implementation
[ "Unit.unit", "Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula.deleteOne._sparseCasesOn_1", "Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula.deleteOne._sparseCasesOn_2", "Option.casesOn", "Std.Tactic.BVDecide.LRAT.Internal.DefaultClause.mk", "Option.some", "Membership.mem", "Std.Tactic.BVDecide.LRAT....
false
MeasureTheory.measureReal_univ_pos._simp_1
Mathlib.MeasureTheory.Measure.Real
[ "Real", "MeasureTheory.Measure", "Real.instZero", "Set.univ", "MeasureTheory.Measure.real", "Real.instLT", "MeasureTheory.Measure.instZero", "MeasurableSpace", "MeasureTheory.measureReal_univ_pos", "MeasureTheory.IsFiniteMeasure", "LT.lt", "True", "eq_true", "Zero.toOfNat0", "NeZero", ...
false
TwoSidedIdeal.instSMulMemClass
Mathlib.RingTheory.TwoSidedIdeal.Basic
[ "NonUnitalNonAssocRing", "TwoSidedIdeal.mul_mem_left", "instSMulOfMul", "TwoSidedIdeal", "SMulMemClass", "Membership.mem", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "Distrib.toMul", "TwoSidedIdeal.setLike", "NonUnitalNonAssocSemiring.toDistrib", "SetLike.instMembership", "SMulMemCla...
true
ByteArray.utf8DecodeChar?.assemble₃.eq_def
Init.Data.String.Decode
[ "ByteArray.utf8DecodeChar?.assemble₃", "Option.some", "instDecidableEqBool", "UInt32.decLe", "LE.le", "dite", "Bool.true", "Option.none", "And", "Char.mk", "instLTUInt32", "LT.lt", "instLEUInt32", "Bool", "Bool.or", "UInt32", "Eq.refl", "ByteArray.utf8DecodeChar?.isInvalidContinuat...
true
LinearIsometryEquiv.piLpCurry
Mathlib.Analysis.Normed.Lp.PiLp
[ "WithLp", "LinearEquiv.symm", "SeminormedAddCommGroup", "Pi.addCommMonoid", "AddCommGroup.toAddCommMonoid", "Pi.module", "WithLp.instAddCommGroup", "Fact", "PiLp", "PiLp.seminormedAddCommGroup", "Sigma.fst", "LE.le", "LinearIsometryEquiv.mk", "Fintype", "LinearEquiv.piCongrRight", "Sem...
true
Mathlib.Tactic.Module.NF.atom_eq_eval
Mathlib.Tactic.Module
[ "instHSMul", "AddMonoid.toAddSemigroup", "congrArg", "List.map", "Nat.instMonoid", "AddMonoid.toAddZeroClass", "List.sum", "Mathlib.Tactic.Module.NF.eval.match_1", "AddMonoid.toNSMul", "AddZeroClass.toAddZero", "Prod.mk", "instOfNatNat", "Prod.fst", "one_smul", "List.cons", "AddZero.to...
true
_private.Std.Tactic.BVDecide.LRAT.Internal.Formula.RatAddSound.0.Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula.sat_of_confirmRupHint_of_insertRat_fold._proof_1_12
Std.Tactic.BVDecide.LRAT.Internal.Formula.RatAddSound
[ "Std.Tactic.BVDecide.LRAT.Internal.Clause.instEntailsLiteral", "of_eq_false", "False", "Lean.Grind.not_and", "congrArg", "False.elim", "noConfusion_of_Nat", "Eq.mp", "id", "Prod.mk", "false_or", "Std.Tactic.BVDecide.LRAT.Internal.Entails.eval", "Bool.ctorIdx", "Bool.true", "Lean.Grind.fo...
false
BddLat.dual_map
Mathlib.Order.Category.BddLat
[ "BoundedLatticeHom.dual", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "BddLat.toLat", "PartialOrder.toPreorder", "Lat.carrier", "BddLat.of", "BddLat.dual", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "Equiv", "OrderDual.instLattice", "CategoryTheory...
true
TopModuleCat.Hom.ctorIdx
Mathlib.Algebra.Category.ModuleCat.Topology.Basic
[ "TopologicalSpace", "TopModuleCat", "TopModuleCat.Hom", "Nat", "Ring" ]
false
Subgroup.subsingleton_iff._simp_2
Mathlib.Algebra.Group.Subgroup.Lattice
[ "Group", "Subgroup", "Subgroup.subsingleton_iff", "propext", "Subsingleton", "Eq" ]
false
instGroupFundamentalGroup
Mathlib.AlgebraicTopology.FundamentalGroupoid.FundamentalGroup
[ "instGroupFundamentalGroup._proof_19", "Mul.mk", "One.mk", "instGroupFundamentalGroup._proof_10", "instGroupFundamentalGroup._proof_7", "instGroupFundamentalGroup._aux_12", "instGroupFundamentalGroup._proof_16", "instGroupFundamentalGroup._proof_6", "DivInvMonoid.mk", "Semigroup.mk", "Group", ...
true
add_neg_cancel_comm_assoc
Mathlib.Algebra.Group.Defs
[ "Eq.mpr", "congrArg", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "AddCommGroup.toAddGroup", "AddZeroClass.toAddZero", "AddCommGroup", "id", "add_comm", "instHAdd", "AddGroup.toSubNegMonoid", "HAdd.hAdd", "neg_add_cancel_right", "SubNegMonoid.toNeg", "AddZero.toAdd", "E...
true
MvPowerSeries.renameEquiv._proof_2
Mathlib.RingTheory.MvPowerSeries.Rename
[ "MulOne.toOne", "Equiv.instEquivLike", "Equiv.symm_comp_self", "congrArg", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "AlgHom.id", "MvPowerSeries.rename_rename", "MvPowerSeries", "Function.comp", "MvPowerSeries.rename_id", "Algebra.id", "id", "Equiv", "MvPowerSeries.rename"...
false
CoassocSimps.rid_comp_map_assoc_simproc
Mathlib.RingTheory.Coalgebra.CoassocSimps
[ "Pure.pure", "Lean.instantiateMVars", "Lean.MonadError.mk", "Unit.unit", "Lean.instMonadExceptOfExceptionCoreM", "Lean.MetavarKind.natural", "Lean.Expr.isApp", "Lean.Meta.Simp.ResultQ.mk", "ReaderT", "instMonadControlTOfPure", "String", "Lean.Meta.State", "Lean.Expr.const", "Lean.instAddEr...
true
_private.Lean.Elab.Quotation.0.Lean.Elab.Term.Quotation.addNamedQuotInfo.match_1
Lean.Elab.Quotation
[ "Option.ctorIdx", "Option.some", "Nat.hasNotBit", "Prod.mk", "String.Pos.Raw", "_private.Lean.Elab.Quotation.0.Lean.Elab.Term.Quotation.quoteSyntax._sparseCasesOn_1", "Prod", "Prod.casesOn", "Option" ]
false
_private.Std.Data.DHashMap.Internal.WF.0.Std.Internal.List.getEntry?.match_1.splitter
Std.Data.DHashMap.Internal.WF
[ "List.cons", "List", "Unit", "Sigma.mk", "Sigma", "List.nil", "_private.Std.Data.Internal.List.Associative.0.Std.Internal.List.getEntry?.match_1" ]
true
Array.getElem_append_right
Init.Data.Array.Lemmas
[ "Array.instAppend", "Eq.mpr", "Array.size_append", "congrArg", "HSub.hSub", "Eq.rec", "Eq.mp", "Fin.mk", "id", "instSubNat", "Array.toList_append", "Array.length_toList", "LE.le", "instLENat", "Array.toList", "Array", "GetElem.getElem", "instHAppendOfAppend", "List", "instHAdd"...
true
Lean.Firefox.instToJsonSampleUnits.toJson
Lean.Util.Profiler
[ "Lean.Json", "Lean.Json.mkObj", "Lean.Firefox.SampleUnits.eventDelay", "String", "Lean.instToJsonString", "Lean.ToJson.toJson", "Prod.mk", "List.cons", "List", "Lean.Firefox.SampleUnits", "Prod", "Lean.Firefox.SampleUnits.time", "List.flatten", "Lean.Firefox.SampleUnits.threadCPUDelta", ...
true
TypeVec.snd_diag
Mathlib.Data.TypeVec
[ "TypeVec.prod.diag", "Fin2.rec", "Fin2.fz", "instOfNatNat", "TypeVec.prod.snd", "TypeVec.comp", "TypeVec.prod", "funext", "Fin2.fs", "instHAdd", "HAdd.hAdd", "Nat", "instAddNat", "Eq.refl", "OfNat.ofNat", "TypeVec.Arrow", "Eq", "TypeVec.id", "Fin2", "TypeVec" ]
true
_private.Mathlib.CategoryTheory.Functor.TypeValuedFlat.0.CategoryTheory.FunctorToTypes.fromOverFunctorElementsEquivalence._proof_7
Mathlib.CategoryTheory.Functor.TypeValuedFlat
[ "CategoryTheory.categoryOfElements", "CategoryTheory.Over", "CategoryTheory.Functor.Elements", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "CategoryTheory.FunctorToTypes.fromOverFunctor", "CategoryTheory.Functor.comp", "T...
false
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.contains_of_contains_union_of_contains_eq_false_right._simp_1_3
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "Membership.mem", "Bool.true", "Std.DTreeMap.Internal.Impl.contains", "propext", "Bool", "Std.DTreeMap.Internal.Impl.mem_iff_contains", "Eq", "Std.DTreeMap.Internal.Impl", "Std.DTreeMap.Internal.Impl.instMembershipOfOrd" ]
false
_private.Lean.Compiler.LCNF.ResetReuse.0.Lean.Compiler.LCNF.Context.noConfusionType
Lean.Compiler.LCNF.ResetReuse
[ "Lean.instBEqFVarId", "Lean.Compiler.LCNF.Ownedness", "_private.Lean.Compiler.LCNF.ResetReuse.0.Lean.Compiler.LCNF.Context.casesOn", "Lean.FVarId", "Std.HashMap", "Lean.instHashableFVarId", "_private.Lean.Compiler.LCNF.ResetReuse.0.Lean.Compiler.LCNF.Context", "Bool", "Lean.PersistentHashSet", "Eq...
false
CategoryTheory.Codiscrete.adj
Mathlib.CategoryTheory.CodiscreteCategory
[ "CategoryTheory.Cat.category", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Equiv.trans", "CategoryTheory.Bundled.str", "CategoryTheory.Codiscrete", "CategoryTheory.Adjunction.mkOfHomEquiv", "CategoryTheory.Codiscrete.equivFunctorToCodiscrete", "CategoryTheory...
true
Finset.filter_sigma
Mathlib.Data.Finset.Sigma
[ "Finset.mem_filter._simp_1", "Iff.of_eq", "congrArg", "Finset", "Finset.ext", "Membership.mem", "Finset.sigma", "Finset.mem_sigma._simp_1", "Sigma.fst", "iff_self", "And", "Iff", "Finset.instSetLike", "_private.Mathlib.Data.Finset.Sigma.0.Finset.filter_sigma._simp_1_2", "DecidablePred", ...
true
CategoryTheory.GrothendieckTopology.OneHypercover.isLimitMultifork
Mathlib.CategoryTheory.Sites.Hypercover.One
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.GrothendieckTopology.OneHypercover.multiforkLift_map", "CategoryTheory.Functor.category", "CategoryTheory.Limits.WalkingMulticospan.instSmallCategory", "CategoryTheory.PreOneHypercover.multifork", "CategoryTheory.Limits.Multifork.IsLimit.mk", "Cate...
true
Std.DTreeMap.Internal.Const.RicSliceData
Std.Data.DTreeMap.Internal.Zipper
[ "Ord", "Std.DTreeMap.Internal.Const.RicSliceData.mk" ]
true
measurable_from_nat
Mathlib.MeasureTheory.MeasurableSpace.Constructions
[ "measurable_from_top", "Measurable", "Nat.instMeasurableSpace", "MeasurableSpace", "Nat" ]
true
Eventually.linearGrowthSup_le
Mathlib.Analysis.Asymptotics.LinearGrowth
[ "instAddCommMonoidWithOneEReal", "Iff.mpr", "EReal.instDivInvMonoid", "Preorder.toLT", "HMul.hMul", "Filter.Eventually", "PartialOrder.toPreorder", "EReal.instMulPosMono", "EReal", "le_of_lt", "Preorder.toLE", "Nat.cast_nonneg'", "LinearGrowth.linearGrowthSup_le_iff", "AddMonoidWithOne.toN...
true
Pi.Lex.isOrderedAddCancelMonoid
Mathlib.Algebra.Order.Group.PiLex
[ "IsRightCancelAdd.addRightStrictMono_of_addRightMono", "IsOrderedMonoid._proof_1._to_additive_1", "Preorder.toLT", "_private.Mathlib.Algebra.Order.Group.PiLex.0.Pi.Lex.isOrderedAddCancelMonoid.match_3", "Pi.addCommMonoid", "le_rfl", "AddMonoid.toAddSemigroup", "instAddCommMonoidLex", "add_lt_add_lef...
true
CategoryTheory.Comma.mapFst_hom_app
Mathlib.CategoryTheory.Comma.Basic
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Comma.mapFst", "CategoryTheory.Comma.fst", "CategoryTheory.Functor.category", "CategoryTheory.Comma.left", "CategoryTheory.Functor.comp", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Comma", ...
true
UInt32.shiftLeft_add_of_toNat_lt
Init.Data.UInt.Bitwise
[ "_private.Init.Data.UInt.Bitwise.0.UInt32.shiftLeft_add_of_toNat_lt._proof_1_3", "UInt32.toBitVec", "UInt32.toNat", "Dvd.dvd", "BitVec.instOfNat", "congrArg", "HShiftLeft.hShiftLeft", "BitVec.instAdd", "BitVec", "UInt32.toNat_toBitVec", "Nat.instMod", "instHMod", "BitVec.instHShiftLeftNat", ...
true
_private.Lean.Meta.Tactic.Grind.Types.0.Lean.Meta.Grind.setENode.unsafe_1
Lean.Meta.Tactic.Grind.Types
[ "Lean.Meta.Sym.ExprPtr.mk", "Lean.Meta.Grind.Goal", "Lean.Expr", "Lean.PersistentHashMap.insert", "Lean.Meta.Grind.CongrTable", "unsafeCast", "Lean.Meta.Sym.instHashableExprPtr", "Lean.Meta.Grind.GoalState.enodeMap", "Lean.Meta.Grind.Goal.toGoalState", "Lean.Meta.Sym.ExprPtr", "Lean.Meta.Grind.G...
true
Mathlib.Tactic.Abel.NormalExpr.ctorIdx
Mathlib.Tactic.Abel
[ "Mathlib.Tactic.Abel.NormalExpr.casesOn", "Lean.Expr", "Int", "Nat", "Prod", "Mathlib.Tactic.Abel.NormalExpr" ]
false
Lean.Meta.addCustomEliminatorEntry
Lean.Meta.Tactic.ElimInfo
[ "instHashableProd", "Lean.Meta.CustomEliminator.typeNames", "Lean.Meta.CustomEliminators", "Array.instBEq", "_private.Lean.Meta.Tactic.ElimInfo.0.Lean.Meta.addCustomEliminatorEntry.match_1", "Lean.SMap.insert", "instDecidableEqBool", "Prod.mk", "Lean.Meta.CustomEliminator", "Lean.Meta.CustomElimin...
true
_private.Mathlib.GroupTheory.Coxeter.Inversion.0.CoxeterSystem.rightInvSeq.match_1.splitter
Mathlib.GroupTheory.Coxeter.Inversion
[ "List.cons", "List", "Unit", "CoxeterSystem.rightInvSeq.match_1", "List.nil" ]
true
UnitAddTorus.coeFn_mFourierLp
Mathlib.Analysis.Fourier.AddCircleMulti
[ "UnitAddTorus.mFourierLp._proof_4", "MeasureTheory.ae", "NormedCommRing.toNormedRing", "NormedCommRing.toSeminormedCommRing", "Real.partialOrder", "Real", "Function.compactSpace", "MeasureTheory.Measure", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "instSeparatelyContinuousAddOfContinuousAdd"...
true
Std.DTreeMap.Internal.Impl.getD_diff!_of_contains_eq_false_right
Std.Data.DTreeMap.Internal.Lemmas
[ "Std.DTreeMap.Internal.Impl.getD_diff_of_contains_eq_false_right", "Eq.mpr", "Ord", "congrArg", "Std.TransOrd", "Std.DTreeMap.Internal.Impl.diff!", "id", "Std.DTreeMap.Internal.Impl.WF", "Std.DTreeMap.Internal.Impl.getD", "Std.DTreeMap.Internal.Impl.WF.balanced", "Std.DTreeMap.Internal.Impl.diff...
true
Unitization.instMetricSpace._proof_1
Mathlib.Analysis.Normed.Algebra.Unitization
[ "Filter.instMembership", "NormedCommRing.toSeminormedCommRing", "instSMulOfMul", "PseudoMetricSpace.toBornology", "NormedSpace", "Unitization.addEquiv", "DistribMulAction.toDistribSMul", "Prod.instAdd", "Compl.compl", "IsScalarTower", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "NonU...
false
Set.infinite_inv
Mathlib.Algebra.Group.Pointwise.Set.Finite
[ "InvolutiveInv.toInv", "Set.Finite", "Iff.not", "InvolutiveInv", "Iff", "Inv.inv", "Set.finite_inv", "Set.inv", "Set.Infinite", "Set" ]
true
Lean.Elab.Do.ControlInfo.recOn
Lean.Elab.Do.InferControlInfo
[ "Lean.Elab.Do.ControlInfo.mk", "Lean.NameSet", "Lean.Elab.Do.ControlInfo", "Lean.Elab.Do.ControlInfo.rec", "Nat", "Bool" ]
false
_private.Lean.Language.Lean.0.Lean.Language.Lean.process.parseCmd.match_3
Lean.Language.Lean
[ "Except.ok", "Nat.hasNotBit", "_private.Lean.Language.Lean.0.Lean.Language.Lean.process.parseCmd._sparseCasesOn_3", "Std.Format", "IO.Error", "Except.ctorIdx", "Except" ]
false