name
stringlengths
2
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module
stringlengths
6
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deps
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allowCompletion
bool
2 classes
Subsemiring.closure_le._simp_1
Mathlib.Algebra.Ring.Subsemiring.Basic
[ "Subsemiring.closure_le", "Subsemiring.instSetLike", "Subsemiring.closure", "PartialOrder.toPreorder", "Preorder.toLE", "Subsemiring.instPartialOrder", "HasSubset.Subset", "LE.le", "Subsemiring", "NonAssocSemiring", "SetLike.coe", "propext", "Eq", "Set.instHasSubset", "Set" ]
false
_private.Mathlib.Combinatorics.Additive.RuzsaCovering.0.Finset.ruzsa_covering_mul._simp_1_4
Mathlib.Combinatorics.Additive.RuzsaCovering
[ "Finset", "Disjoint", "Membership.mem", "Exists", "Finset.partialOrder", "And", "Finset.instSetLike", "propext", "Finset.instOrderBot", "Eq", "Not", "SetLike.instMembership", "Finset.not_disjoint_iff" ]
false
CategoryTheory.Functor.prod'CompSnd_inv_app
Mathlib.CategoryTheory.Products.Basic
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.prod'CompSnd", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Functor.prod'", "CategoryTheory.Prod.snd", "CategoryTheory....
true
definition._proof_1._@.Mathlib.Analysis.Normed.Module.FiniteDimension.3513382408._hygCtx._hyg.2
Mathlib.Analysis.Normed.Module.FiniteDimension
[ "Real", "Real.denselyNormedField", "NormedField.toField", "Field.toSemifield", "RingHomInvPair", "Semifield.toDivisionSemiring", "RingHomInvPair.ids", "DivisionSemiring.toSemiring", "NontriviallyNormedField.toNormedField", "DenselyNormedField.toNontriviallyNormedField", "RingHom.id", "Semiring...
false
CategoryTheory.Limits.Types.isColimitOfMulticoequalizerDiagram'._proof_2
Mathlib.CategoryTheory.Limits.Types.Multicoequalizer
[ "CategoryTheory.Limits.MultispanShape.prod", "CompleteLattice.MulticoequalizerDiagram.multispanIndex", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.MultispanIndex.fst", "PartialOrder.toPreorder", "CategoryTheory.eqToIso", "SemilatticeInf.toPartialOrder", "CategoryTh...
false
zero_pow_eq_zero
Mathlib.Algebra.GroupWithZero.Basic
[ "Nontrivial", "MulOne.toOne", "False", "NeZero.one", "Monoid.toMulOneClass", "congrArg", "False.elim", "Eq.mp", "one_ne_zero._simp_1", "Ne", "instOfNatNat", "pow_zero", "Monoid.toPow", "MulOneClass.toMulOne", "Iff", "MonoidWithZero", "MonoidWithZero.toMulZeroOneClass", "HPow.hPow",...
true
ComputeAsymptotics.MultiseriesExpansion.Approximates.functor_unfold
Mathlib.Tactic.ComputeAsymptotics.Multiseries.Defs
[ "Eq.mpr", "ComputeAsymptotics.Basis", "Real.instPow", "Real", "ComputeAsymptotics.MultiseriesExpansion.Approximates._functor.existential_equiv", "HMul.hMul", "Real.instZero", "congrArg", "Real.instSub", "ComputeAsymptotics.MultiseriesExpansion.toFun", "HSub.hSub", "ComputeAsymptotics.Multiseri...
true
MeasureTheory.IsAddFundamentalDomain.vadd_of_comm
Mathlib.MeasureTheory.Group.FundamentalDomain
[ "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "MeasureTheory.Measure", "MeasurableConstVAdd", "AddMonoid.toAddSemigroup", "VAddCommClass.vadd_comm", "MeasureTheory.VAddInvariantMeasure", "MeasureTheory.measurePreserving_vadd", "MeasureTheory.IsAddFundamentalDomain.image_of_equiv", "Set.vad...
true
CategoryTheory.CartesianMonoidalCategory.fullSubcategory_tensorProductIsBinaryProduct_lift_hom
Mathlib.CategoryTheory.Monoidal.Cartesian.Basic
[ "CategoryTheory.Limits.Cone", "CategoryTheory.Limits.BinaryFan.fst", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory.fullSubcategory", "CategoryTheory.SemiCartesianMonoidalCategory.snd", "CategoryTheory.Limits.BinaryFan.mk", "CategoryTheory.ObjectProperty.IsClo...
true
Lean.Meta.Grind.Arith.Linear.Case.mk.noConfusion
Lean.Meta.Tactic.Grind.Arith.Linear.SearchM
[ "Lean.Meta.Grind.Arith.Linear.Case.noConfusion", "id", "Lean.FVarId", "Lean.Meta.Grind.Arith.Linear.Struct", "Lean.Meta.Grind.Arith.Linear.Case.mk", "Eq", "Lean.Meta.Grind.Arith.Linear.Case", "Lean.Meta.Grind.Arith.Linear.DiseqCnstr" ]
false
Lean.Meta.ExtractLetsConfig
Init.MetaTypes
[ "Lean.Meta.ExtractLetsConfig.mk" ]
true
_private.Mathlib.Analysis.SpecialFunctions.Complex.Arg.0.Complex.arg_lt_arg_add_two_pi._proof_1_2
Mathlib.Analysis.SpecialFunctions.Complex.Arg
[ "instLawfulOrderLT_mathlib", "Lean.Grind.Linarith.Expr.zero", "Lean.Grind.Linarith.Expr", "Lean.RArray.leaf", "Lean.Grind.Field.toCommRing", "False", "Real.partialOrder", "Real.instLE", "Real", "Lean.Grind.Linarith.lt_norm", "Lean.Grind.CommRing.Mon.mult", "Lean.Grind.Linarith.Expr.intMul", ...
false
Mathlib.CrossRef.stacksTagParser.parenthesizer
Mathlib.Tactic.CrossRefAttribute
[ "Lean.Parser.mkAntiquot.parenthesizer", "Lean.PrettyPrinter.Parenthesizer", "Lean.PrettyPrinter.Parenthesizer.stacksTagAntiquot.parenthesizer", "Bool.true", "Lean.PrettyPrinter.Parenthesizer.withAntiquot.parenthesizer", "Bool.false", "Mathlib.CrossRef.stacksTagKind" ]
true
AddMonoidAlgebra.commAlgEquiv_single_zero_single
Mathlib.Algebra.MonoidAlgebra.Basic
[ "NonAssocSemiring.toAddCommMonoidWithOne", "AddMonoidAlgebra.semiring", "AddMonoidAlgebra.commAlgEquiv", "AddMonoidAlgebra.commRingEquiv_single_zero_single", "AddMonoid.toAddZeroClass", "AddMonoidAlgebra.algebra", "Algebra", "AddZeroClass.toAddZero", "AddCommMonoidWithOne.toAddMonoidWithOne", "Com...
true
Decidable.imp_or'
Init.PropLemmas
[ "Eq.mpr", "False", "eq_false", "congrArg", "true_or", "False.elim", "Decidable", "id", "false_or", "dite", "iff_self", "Iff", "implies_congr", "congr", "True", "eq_true", "of_eq_true", "or_iff_right_of_imp", "Eq.refl", "congrFun'", "Or", "implies_true", "Eq", "Not", "...
true
CategoryTheory.Abelian.SpectralObject.pOpcycles_δFromOpcycles_assoc
Mathlib.Algebra.Homology.SpectralObject.Cycles
[ "CategoryTheory.Category.assoc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Abelian.SpectralObject.pOpcycles_δFromOpcycles", "congrArg", "CategoryTheory.Abelian.SpectralObject.H", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "CategoryTheory.Abelian", "...
true
_private.Mathlib.RingTheory.RootsOfUnity.PrimitiveRoots.0.IsPrimitiveRoot.coe_submonoidClass_iff._simp_1_1
Mathlib.RingTheory.RootsOfUnity.PrimitiveRoots
[ "MulOne.toOne", "Dvd.dvd", "Monoid.toMulOneClass", "IsPrimitiveRoot.iff_def", "Monoid.toPow", "MulOneClass.toMulOne", "And", "HPow.hPow", "Nat.instDvd", "CommMonoid.toMonoid", "Nat", "propext", "One.toOfNat1", "instHPow", "IsPrimitiveRoot", "OfNat.ofNat", "Eq", "CommMonoid" ]
false
instLargeCategoryLocale._aux_3
Mathlib.Topology.Category.Locale
[ "Quiver.mk", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Locale", "Quiver.Hom", "Quiver.Hom.op", "CategoryTheory.CategoryStruct.id", "instLargeCategoryLocale._aux_1", "CategoryTheory.Category.toCategoryStruct", "Frm", "Frm.instCategory", "Opposite.unop" ]
false
reflTransGen_of_succ
Mathlib.Order.SuccPred.Relation
[ "reflTransGen_of_succ_of_ge", "Order.succ", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "le_total", "LE.le", "reflTransGen_of_succ_of_le", "Set.Ico", "IsSuccArchimedean", "SuccOrder", "Or.elim",...
true
Lean.Parser.ppLine._regBuiltin.Lean.Parser.ppLine.docString_1
Lean.Parser.Extra
[ "Lean.addBuiltinDocString", "IO", "Lean.Name.mkStr3", "Unit" ]
false
Plausible.NoShrink.get
Plausible.Sampleable
[ "Plausible.NoShrink" ]
true
ContDiffOn.smulRight
Mathlib.Analysis.Calculus.ContDiff.Comp
[ "NormedCommRing.toSeminormedCommRing", "ContinuousLinearMap.toNormedAddCommGroup", "Algebra.to_smulCommClass", "Semiring.toModule", "NormedSpace.toIsBoundedSMul", "NormedSpace", "ContinuousLinearMap.smulRight", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMon...
true
Coheyting.boundary_top
Mathlib.Order.Heyting.Boundary
[ "CoheytingAlgebra.toHNot", "Eq.mpr", "Lattice.toSemilatticeSup", "congrArg", "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "CoheytingAlgebra.toOrderTop", "CoheytingAlgebra", "hnot_top", "id", "Bot.bot", "SemilatticeInf.toMin", "HNot.hnot",...
true
_private.Mathlib.Analysis.Calculus.Deriv.Inverse.0.HasDerivWithinAt.eventually_notMem._simp_1_7
Mathlib.Analysis.Calculus.Deriv.Inverse
[ "GroupWithZero.toMonoidWithZero", "False", "GroupWithZero.toDivInvMonoid", "eq_false", "GroupWithZero", "DivInvMonoid.toZPow", "Ne", "Int", "MonoidWithZero.toMulZeroOneClass", "HPow.hPow", "Zero.toOfNat0", "zpow_ne_zero", "instHPow", "MulZeroOneClass.toMulZeroClass", "OfNat.ofNat", "Eq...
false
_private.Mathlib.Analysis.SpecialFunctions.Elliptic.Weierstrass.0.PeriodPair.weierstrassPExceptSummand_of_notMem._proof_1_3
Mathlib.Analysis.SpecialFunctions.Elliptic.Weierstrass
[ "Submodule", "Lean.RArray.leaf", "False", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "Lean.Grind.nestedProof", "eq_false", "Int.Linear.Expr.eq_of_norm_eq", "congrArg", "Classical.byContradiction", "Complex.instNormedField", "PeriodPair.weierstrassPExceptSummand", "HSub.hSu...
false
Finset.union_sdiff_of_subset
Mathlib.Data.Finset.SDiff
[ "Finset.instUnion", "Finset", "Finset.instSDiff", "HasSubset.Subset", "SDiff.sdiff", "Finset.instHasSubset", "_private.Mathlib.Data.Finset.SDiff.0.Finset.union_sdiff_of_subset._proof_1_1", "Union.union", "Eq", "DecidableEq" ]
true
ISize.toNatClampNeg_ofInt_of_two_pow_numBits
Init.Data.SInt.Lemmas
[ "instPowNat", "Eq.mpr", "ISize.ofInt", "congrArg", "HSub.hSub", "id", "Int.instNegInt", "instSubNat", "instOfNatNat", "Int", "Int.instNatPow", "LE.le", "ISize.toInt_ofInt_of_two_pow_numBits_le", "Int.instLTInt", "System.Platform.numBits", "ISize.toNatClampNeg.eq_1", "instHSub", "HP...
true
ISize.neg_zero
Init.Data.SInt.Lemmas
[ "BitVec.neg_zero", "ISize.toBitVec_ofNat", "congrArg", "BitVec", "instOfNatNat", "BitVec.ofNat", "BitVec.instNeg", "System.Platform.numBits", "ISize.instOfNat", "Nat", "congr", "True", "ISize.toBitVec", "eq_self", "of_eq_true", "ISize.instNeg", "OfNat.ofNat", "ISize.toBitVec.inj", ...
true
fontaineThetaInvertP._proof_1
Mathlib.RingTheory.Perfectoid.BDeRham
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "RingHom.instRingHomClass", "CommRing", "Nat.Prime", "Semiring.toModule", "Algebra.algebraMap", "OreLocalization.instAlgebra", "WittVector.instNatCast", "congrArg", "WittVector.instCommRing", "CommSemiring.toSemiring", "AddGroupWithOne.toA...
false
CategoryTheory.GrothendieckTopology.mem_sieves_iff_coe._simp_1
Mathlib.CategoryTheory.Sites.Grothendieck
[ "CategoryTheory.GrothendieckTopology.sieves", "Membership.mem", "CategoryTheory.Sieve", "CategoryTheory.GrothendieckTopology.mem_sieves_iff_coe", "CategoryTheory.GrothendieckTopology", "propext", "Eq", "Set.instMembership", "DFunLike.coe", "CategoryTheory.GrothendieckTopology.instDFunLikeSetSieve"...
false
_private.Lean.Elab.Term.TermElabM.0.Lean.Elab.Term.mkCoe.match_5
Lean.Elab.Term.TermElabM
[ "Lean.MessageData", "Lean.Exception.error", "Lean.Exception.ctorIdx", "Lean.Syntax", "Nat.hasNotBit", "_private.Lean.Elab.Term.TermElabM.0.Lean.Elab.Term.mkCoe._sparseCasesOn_5", "Lean.Exception" ]
false
Lean.Meta.Grind.Arith.Cutsat.assertNonneg
Lean.Meta.Tactic.Grind.Arith.Cutsat.Nat
[ "Pure.pure", "Lean.Meta.Grind.GrindM", "Unit.unit", "Lean.Meta.Grind.Goal", "StateRefT'.instAlternativeOfMonad", "Lean.Meta.Grind.State", "ReaderT", "Lean.Expr.isAppOf", "Lean.Meta.Sym.Context", "Lean.Name.mkStr3", "ReaderT.instMonad", "Lean.Meta.Grind.Context", "Lean.mkApp2", "Lean.Expr",...
true
SimpleGraph.IsFiveWheelLike.notMem_right
Mathlib.Combinatorics.SimpleGraph.FiveWheelLike
[ "Finset", "Membership.mem", "SimpleGraph", "Finset.instSetLike", "Nat", "SimpleGraph.IsFiveWheelLike", "Not", "SetLike.instMembership", "DecidableEq" ]
true
PrimeSpectrum.BasicConstructibleSetData.mk._flat_ctor
Mathlib.RingTheory.Spectrum.Prime.ConstructibleSet
[ "PrimeSpectrum.BasicConstructibleSetData", "PrimeSpectrum.BasicConstructibleSetData.mk", "Nat", "Fin" ]
false
Measurable.measurableEmbedding
Mathlib.MeasureTheory.Constructions.Polish.Basic
[ "MeasurableSet.image_of_measurable_injOn", "StandardBorelSpace", "MeasurableSet", "Function.Injective.injOn", "Measurable", "MeasurableEmbedding.mk", "MeasurableSpace", "MeasurableSpace.CountablySeparated", "MeasurableEmbedding", "Function.Injective", "Set" ]
true
NormedField.noConfusion
Mathlib.Analysis.Normed.Field.Basic
[ "Norm.norm", "Semigroup.toMul", "Real", "HMul.hMul", "Ring.toNeg", "AddMonoid.toAddSemigroup", "HEq.refl", "NormedField.noConfusionType", "Norm", "Field.toCommRing", "NormedField", "instHAdd", "AddSemigroup.toAdd", "MetricSpace", "HAdd.hAdd", "NormedField.casesOn", "Real.instMul", ...
false
Std.Internal.UV.System.instReprRUsage
Std.Internal.UV.System
[ "Std.Internal.UV.System.RUsage", "Repr.mk", "Repr", "Std.Internal.UV.System.instReprRUsage.repr" ]
true
Finset.card_eq_of_bijective
Mathlib.Data.Finset.Card
[ "Iff.mpr", "Eq.mpr", "Trans.trans", "Iff.of_eq", "congrArg", "Finset", "Finset.card_range", "Classical.propDecidable", "Finset.ext", "Membership.mem", "Exists", "id", "Subtype", "_private.Mathlib.Data.Finset.Card.0.Finset.card_eq_of_bijective.match_1_4", "Finset.mem_range", "Finset.car...
true
DenseRange.zsmul_of_ergodic_add_left
Mathlib.Dynamics.Ergodic.Action.OfMinimal
[ "Filter.instMembership", "Continuous.comp'", "Iff.mpr", "Set.instSProd", "AddGroup.toSubtractionMonoid", "Eq.mpr", "NegZeroClass.toNeg", "Ergodic", "False", "Set.mem_range", "instHSMul", "MeasureTheory.Measure", "instSeparatelyContinuousAddOfContinuousAdd", "mem_interior_iff_mem_nhds", "...
true
minimalPrimes_eq_minimals
Mathlib.RingTheory.Ideal.MinimalPrime.Basic
[ "Semiring.toModule", "and_true", "congrArg", "CommSemiring.toSemiring", "PartialOrder.toPreorder", "setOf", "Preorder.toLE", "Submodule.instPartialOrder", "Bot.bot", "LE.le", "Ideal", "congr_arg", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "Submodule.instBot", "funext...
true
Lean.Elab.Tactic.evalTacticSeq._regBuiltin.Lean.Elab.Tactic.evalTacticSeq_1
Lean.Elab.Tactic.BuiltinTactic
[ "Lean.Elab.Tactic.tacticElabAttribute", "IO", "Unit", "Lean.Elab.Tactic.Tactic", "Lean.Name.mkStr4", "Lean.Elab.Tactic.evalTacticSeq", "Lean.KeyedDeclsAttribute.addBuiltin" ]
false
Set.pow_subset_pow_mul_of_sq_subset_mul
Mathlib.Algebra.Group.Pointwise.Set.Basic
[ "Monoid", "MulOne.toOne", "Semigroup.toMul", "pow_le_pow_mul_of_sq_le_mul", "HMul.hMul", "Set.instMulRightMono", "Monoid.toMulOneClass", "PartialOrder.toPreorder", "HSub.hSub", "SemilatticeInf.toPartialOrder", "MulOne.toMul", "Set.monoid", "instSubNat", "HasSubset.Subset", "Ne", "instO...
true
derivedSeries_zero
Mathlib.GroupTheory.Solvable
[ "Group", "Subgroup", "instOfNatNat", "derivedSeries", "Nat", "Subgroup.instTop", "Top.top", "OfNat.ofNat", "Eq", "rfl" ]
true
RingEquiv.mopMatrix._proof_7
Mathlib.Data.Matrix.Basic
[ "Eq.mpr", "Matrix.add", "congrArg", "Matrix", "Matrix.transpose_add", "MulOpposite", "id", "AddCommMonoid", "instHAdd", "MulOpposite.instAdd", "HAdd.hAdd", "Matrix.transpose", "Matrix.map", "Eq.refl", "MulOpposite.unop", "congrFun'", "AddCommSemigroup.toAddCommMagma", "AddCommMonoi...
false
Real.summable_one_div_int_add_rpow
Mathlib.Analysis.PSeries
[ "AddGroup.toSubtractionMonoid", "Int.cast_neg", "Int.cast", "Eq.mpr", "NegZeroClass.toNeg", "Int.cast_natCast", "abs_neg", "Real.instPow", "_private.Mathlib.Analysis.PSeries.0.Real.summable_one_div_int_add_rpow._simp_1_1", "Real", "instHDiv", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", ...
true
CategoryTheory.ShortComplex.ShortExact.extClass_comp_assoc
Mathlib.Algebra.Homology.DerivedCategory.Ext.ExtClass
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.Abelian.Ext.zero_comp", "Eq.mpr", "CategoryTheory.Abelian.Ext.comp_assoc._proof_2", "CategoryTheory.Abelian.Ext.comp_assoc", "congrArg", "CategoryTheory.Abelian.Ext.comp_assoc._proof_4", "CategoryTheory.Abelian.Ext.instAddCommGroup", "AddMonoid...
true
Valuation.Uniformizer.recOn
Mathlib.RingTheory.Valuation.Discrete.Basic
[ "Valuation.Uniformizer.rec", "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "Valuation.IsUniformizer", "Subring.instSetLike", "Ring.toNonAssocRing", "Valuation.Uniformizer.mk", "Membership.mem", "Subtype", "Valuation.IsRankOneDiscrete", "LinearOrderedCommGroupWithZero", "Val...
false
SkewMonoidAlgebra.single.eq_1
Mathlib.Algebra.SkewMonoidAlgebra.Basic
[ "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "SkewMonoidAlgebra.ofFinsupp", "AddZero.toZero", "AddMonoid", "SkewMonoidAlgebra", "Eq.refl", "SkewMonoidAlgebra.single", "Eq", "Finsupp.single" ]
true
BoxIntegral.IntegrationParams.toFilterDistortion_neBot
Mathlib.Analysis.BoxIntegral.Partition.Filter
[ "BoxIntegral.IntegrationParams.toFilterDistortioniUnion", "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "BoxIntegral.IntegrationParams.toFilterDistortioniUnion_neBot'", "Real", "LinearOrderedCommMonoidWithZero.toIsBotZeroClass", "Filter.NeBot.mono", "BoxIntegral.Prepartition", "c...
true
Int.Linear.cooper_dvd_right_split_dvd1_cert
Init.Data.Int.Linear
[ "Bool.and'", "Int.Linear.Poly.leadCoeff", "Int.Linear.Poly.beq'", "Int", "Int.beq'", "Int.Linear.Poly.addConst_k", "Int.Linear.Poly.tail", "Bool", "Int.Linear.Poly" ]
true
instRingWithIdealFilter._aux_37
Mathlib.RingTheory.IdealFilter.Topology
[ "Int", "WithIdealFilter", "IdealFilter", "Ring.zsmul", "Ring" ]
false
fromTangentSpace_mfderiv_smul_apply
Mathlib.Geometry.Manifold.MFDeriv.NormedSpace
[ "ContinuousLinearMap.comp", "NormedCommRing.toSeminormedCommRing", "instHSMul", "mfderiv", "Semiring.toModule", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "chartedSpaceSelf", "NormedSpace", "congrArg", "DistribMulAction.toDistribSMul", "AddCommGroup.toA...
true
_private.Mathlib.Combinatorics.SimpleGraph.Walk.Subwalks.0.SimpleGraph.Walk.isSubwalk_iff_darts_isInfix._proof_1_17
Mathlib.Combinatorics.SimpleGraph.Walk.Subwalks
[ "Lean.Grind.nestedProof", "HSub.hSub", "SimpleGraph.Walk.support", "List.length_dropLast", "SimpleGraph.Walk", "Eq.rec", "instSubNat", "List.dropLast", "instOfNatNat", "SimpleGraph.Dart", "LE.le", "instLENat", "SimpleGraph", "SimpleGraph.Walk.darts", "instHSub", "Nat.pred_le", "Nat",...
false
PredOrder.ofCore._proof_2
Mathlib.Order.SuccPred.Basic
[ "not_le", "Eq.mpr", "False", "Preorder.toLT", "Lattice.toSemilatticeSup", "congrArg", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "true_iff", "Eq.mp", "DistribLattice.toLattice", "id", "Iff.not", "LE.le", "Iff", "lt_self_iff_false", "congr", "LT.lt", "True", "p...
false
ProbabilityTheory.Kernel.compProd_assoc
Mathlib.Probability.Kernel.Composition.CompProd
[ "MeasurableSet.preimage", "MeasurableEquiv.instEquivLike", "Eq.mpr", "_private.Mathlib.Probability.Kernel.Composition.CompProd.0.ProbabilityTheory.Kernel.compProd_assoc._simp_1_1", "False", "ProbabilityTheory.Kernel.comap", "MeasureTheory.Measure", "MeasurableSet", "eq_false", "Measurable.comp", ...
true
SimplexCategory.σ₀Iter_succ'_assoc
Mathlib.AlgebraicTopology.SimplexCategory.DeltaZeroIter
[ "CategoryTheory.Category.assoc", "SimplexCategory.σ₀Iter_succ'._auto_1", "CategoryTheory.CategoryStruct.toQuiver", "SimplexCategory.σ₀Iter_succ'._proof_4", "Quiver.Hom", "congrArg", "SimplexCategory.σ₀Iter", "SimplexCategory.σ", "Eq.mp", "id", "Mathlib.Tactic.Reassoc.eq_whisker'", "instOfNatNa...
true
CategoryTheory.Limits.coyonedaOpColimitIsoLimitCoyoneda'.eq_1
Mathlib.CategoryTheory.Limits.IndYoneda
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.coyoneda", "CategoryTheory.Limits.PreservesLimitsOfShape.preservesLimit", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Limits.coyonedaOpColimitIsoLimitCoyoneda'", "CategoryTheory.Iso", "CategoryTheory.Limits.i...
true
_private.Mathlib.Topology.CWComplex.Classical.Basic.0.Topology.RelCWComplex.isClosed_inter_cellFrontier_succ_of_le_isClosed_inter_closedCell.match_1_3
Mathlib.Topology.CWComplex.Classical.Basic
[ "Topology.RelCWComplex", "Finset", "Subtype.casesOn", "Membership.mem", "Subtype", "Subtype.mk", "TopologicalSpace", "Finset.instSetLike", "Nat", "Topology.RelCWComplex.cell", "SetLike.instMembership", "Set" ]
false
InfTopHom.instSemilatticeInf._proof_1
Mathlib.Order.Hom.BoundedLattice
[ "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "InfTopHom.instFunLike", "SemilatticeInf.toMin", "OrderTop", "Min", "SemilatticeInf", "OrderTop.toTop", "DFunLike.coe_injective", "Function.Injective", "InfTopHom", "DFunLike.coe", "Top" ]
false
_private.Lean.Meta.Tactic.Grind.AC.PP.0.Lean.Meta.Grind.AC.ppStruct?.match_1
Lean.Meta.Tactic.Grind.AC.PP
[ "Option.ctorIdx", "Option.some", "Lean.Expr", "Nat.hasNotBit", "_private.Lean.Meta.Tactic.Grind.AC.PP.0.Lean.Meta.Grind.AC.push._sparseCasesOn_1", "Option" ]
false
AddCommMonoid.toNatModule._proof_3
Mathlib.Algebra.Module.NatInt
[ "instHSMul", "AddMonoid.toAddZeroClass", "AddMonoid.toNSMul", "AddZeroClass.toAddZero", "instOfNatNat", "AddCommMonoid", "AddZero.toZero", "zero_nsmul", "Nat", "Zero.toOfNat0", "HSMul.hSMul", "AddCommMonoid.toAddMonoid", "OfNat.ofNat", "Eq" ]
false
instCommRingBDeRhamPlus._proof_31
Mathlib.RingTheory.Perfectoid.BDeRham
[ "Submodule", "instCommRingBDeRhamPlus._aux_8", "fontaineThetaInvertP", "Mul.mk", "Submodule.Quotient.addCommMonoid", "CommRing", "instHSMul", "Nat.Prime", "Semiring.toModule", "instSMulOfMul", "AdicCompletion.instCommRing._proof_1", "One.mk", "instCommRingBDeRhamPlus._aux_16", "AddMonoid.t...
false
Seminorm.preimage_metric_ball
Mathlib.Analysis.Seminorm
[ "Seminorm.instSeminormClass", "AddGroup.toSubtractionMonoid", "Set.ext", "Norm.norm", "SeminormedAddGroup.toNorm", "NormedCommRing.toSeminormedCommRing", "Real", "SeminormedAddGroup.toAddGroup", "AddGroupSeminormClass.toNonnegHomClass", "Real.instZero", "congrArg", "DistribMulAction.toDistribS...
true
_private.Mathlib.GroupTheory.Index.0.Subgroup.index_eq_two_iff_exists_notMem_and._simp_1_1
Mathlib.GroupTheory.Index
[ "HMul.hMul", "Monoid.toMulOneClass", "Xor", "Group", "Membership.mem", "Exists", "MulOne.toMul", "DivInvMonoid.toMonoid", "Subgroup", "Subgroup.index_eq_two_iff", "instOfNatNat", "Group.toDivInvMonoid", "MulOneClass.toMulOne", "Nat", "Subgroup.index", "propext", "OfNat.ofNat", "Eq"...
false
ConditionallyCompleteLinearOrderBot.lt._inherited_default
Mathlib.Order.ConditionallyCompleteLattice.Defs
[ "id", "And", "Not" ]
false
_private.Mathlib.Algebra.Module.Presentation.Tautological.0.Module.Presentation.tautologicalRelations.match_1.eq_2
Mathlib.Algebra.Module.Presentation.Tautological
[ "Module.Presentation.tautologicalRelations.match_1", "Eq.refl", "Module.Presentation.tautological.R", "Module.Presentation.tautological.R.add", "Module.Presentation.tautological.R.smul", "Eq" ]
true
MonoidHom.FixedPointFree.commutatorMap_injective
Mathlib.GroupTheory.FixedPointFree
[ "Eq.mpr", "Semigroup.toMul", "DivInvMonoid.toInv", "instHDiv", "InvOneClass.toOne", "HMul.hMul", "map_inv", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "congrArg", "mul_assoc", "Group", "Group.toDivisionMonoid", "DivisionMonoid.toDivInvOneMonoid", "MonoidHom.commutatorMap", ...
true
Std.DTreeMap.Internal.Impl.Const.get!_empty
Std.Data.DTreeMap.Internal.Lemmas
[ "Eq.mpr", "Inhabited.default", "Ord", "Std.instLawfulBEqOrd", "congrArg", "Std.DTreeMap.Internal.Impl.Const.get!_eq_getValue!", "beqOfOrd", "Std.TransOrd", "Std.DTreeMap.Internal.Impl.WF.ordered", "Std.DTreeMap.Internal.Impl.Const.get!", "id", "Std.DTreeMap.Internal.Impl.WF.empty", "Std.Inte...
true
CategoryTheory.Limits.hasCokernels_of_hasCoequalizers
Mathlib.CategoryTheory.Limits.Shapes.Kernels
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Limits.hasColimitOfHasColimitsOfShape", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "inferInstance", "CategoryTheory.Limits.walkingParallelPairHomCategory", "CategoryTheory.Limits.HasCoke...
true
LightDiagram'.mk.inj
Mathlib.Topology.Category.LightProfinite.Basic
[ "CategoryTheory.Functor", "Opposite", "LightDiagram'.mk.noConfusion", "LightDiagram'.mk", "FintypeCat.Skeleton.instSmallCategory", "Preorder.smallCategory", "LightDiagram'", "Nat.instPreorder", "Nat", "CategoryTheory.Category.opposite", "Eq", "FintypeCat.Skeleton" ]
true
Std.DTreeMap.Equiv.getEntryLE?_eq
Std.Data.DTreeMap.Lemmas
[ "Std.DTreeMap", "Ord.mk", "Ordering", "Std.DTreeMap.getEntryLE?", "Std.DTreeMap.inner", "Std.TransCmp", "Std.DTreeMap.Equiv.inner", "Std.DTreeMap.wf", "Std.DTreeMap.Equiv", "Eq", "Sigma", "Std.DTreeMap.Internal.Impl.Equiv.getEntryLE?_eq", "Option" ]
true
FiniteField.pow_finrank_eq_card
Mathlib.FieldTheory.Finite.GaloisField
[ "Eq.mpr", "Nat.Prime", "congrArg", "AddCommGroup.toAddCommMonoid", "Nat.instMonoid", "Fact", "AddCommGroup", "FiniteField.pow_finrank_eq_natCard", "Fintype.card", "id", "Nat.card", "Finite.of_fintype", "Field.toSemifield", "ZMod", "Monoid.toPow", "ZMod.instField", "Semifield.toDivisi...
true
signedDist_le_dist
Mathlib.Geometry.Euclidean.SignedDist
[ "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "ContinuousAffineMap.instModuleOfSMulCommClassOfContinuousConstSMul", "Real.instLE", "Real", "Algebra.to_smulCommClass", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "AffineMap.instFunLike", "le_abs_...
true
Lean.Meta.LazyDiscrTree.pushRootCase
Lean.Meta.LazyDiscrTree
[ "Array.push", "Lean.Meta.LazyDiscrTree.instBEqKey", "Membership.mem", "Lean.Expr", "instOfNatNat", "Std.HashMap", "Array", "Lean.Meta.LazyDiscrTree.PartialMatch", "Unit", "Lean.Meta.LazyDiscrTree.TrieIndex", "Lean.Meta.LazyDiscrTree.Key.instHashable", "Nat", "Lean.Meta.LazyDiscrTree.PartialM...
true
CategoryTheory.AddMod.Hom.mk._flat_ctor
Mathlib.CategoryTheory.Monoidal.Mod
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.AddMod.addMod", "CategoryTheory.MonoidalCategory", "CategoryTheory.AddMod", "CategoryTheory.IsAddModHom", "CategoryTheory.MonoidalCategory.MonoidalLeftAction", "CategoryTheory.AddMonObj", "CategoryTheory.AddMod.Hom", "Category...
false
Subgroup.commutator_commutator_eq_bot_of_rotate
Mathlib.GroupTheory.Commutator.Basic
[ "Eq.mpr", "MulOne.toOne", "Semigroup.toMul", "DivInvMonoid.toInv", "InvOneClass.toOne", "_private.Mathlib.GroupTheory.Commutator.Basic.0.Subgroup.commutator_commutator_eq_bot_of_rotate._simp_1_3", "HMul.hMul", "DivInvOneMonoid.toInvOneClass", "inv_mul_cancel_left", "inv_one", "Monoid.toMulOneCla...
true
ComplexShape.ctorIdx
Mathlib.Algebra.Homology.ComplexShape
[ "ComplexShape", "Nat" ]
false
ProofWidgets.Jsx.delabHtmlOfComponent
ProofWidgets.Data.Html
[ "Pure.pure", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "Lean.SourceInfo", "Lean.PrettyPrinter.Delaborator.Context", "Lean.Meta.State", "Lean.PrettyPrinter.Delaborator.Delab", "Lean.TSyntax.mk", "Lean.Name.mkStr3", "ReaderT.instMonad", "Lean.MonadQuotation.toMonadRef", "Lean.TSyntax.raw...
true
ModuleCat.homAddEquiv._proof_1
Mathlib.Algebra.Category.ModuleCat.Basic
[ "ModuleCat.homEquiv", "ModuleCat.instAddHom", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "ModuleCat", "AddCommGroup.toAddCommMonoid", "Equiv.toFun", "LinearMap", "instHAdd", "ModuleCat.isAddCommGroup", "HAdd.hAdd", "ModuleCat.moduleCategory", "ModuleCat.carrier", "CategoryTheo...
false
Nat.Partition.ext_iff
Mathlib.Combinatorics.Enumerative.Partition.Basic
[ "HEq.refl", "Nat.Partition.parts", "Multiset", "Eq.casesOn", "Iff", "Nat.Partition.ext", "Nat.Partition", "Nat", "Iff.intro", "Eq.ndrec", "Eq.refl", "HEq", "Eq.symm", "Eq" ]
true
DifferentiableWithinAt.csin
Mathlib.Analysis.SpecialFunctions.Trigonometric.Deriv
[ "NormedCommRing.toSeminormedCommRing", "Algebra.to_smulCommClass", "instHSMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "NormedSpace", "Complex.cos", "HasFDerivWithinAt.csin", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "IsSemitopologicalRing.toIsSemi...
true
Lean.Grind.CommRing.Mon.degreeOf.eq_1
Init.Grind.Ring.CommSolver
[ "instOfNatNat", "Lean.Grind.CommRing.Mon.degreeOf", "Lean.Grind.CommRing.Var", "Nat", "Eq.refl", "OfNat.ofNat", "Eq", "Lean.Grind.CommRing.Mon.unit" ]
true
ENormedMonoid.recOn
Mathlib.Analysis.Normed.Group.Defs
[ "ESeminormedMonoid", "ESeminormedMonoid.toContinuousENorm", "ESeminormedMonoid.toMonoid", "ENormedMonoid", "ENormedMonoid.mk", "TopologicalSpace", "ENorm.enorm", "Iff", "ContinuousENorm.toENorm", "ENNReal", "ENormedMonoid.rec", "One.toOfNat1", "Zero.toOfNat0", "Monoid.toOne", "ENNReal.in...
false
Nat.cast_add
Mathlib.Data.Nat.Cast.Defs
[ "Eq.mpr", "Nat.cast_succ", "Nat.recAux", "AddMonoid.toAddSemigroup", "congrArg", "add_assoc", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "id", "AddMonoidWithOne.toNatCast", "instOfNatNat", "Nat.cast", "AddMonoidWithOne.toOne", "AddZero.toZero", "instHAdd", "AddSemigroup.toAd...
true
MeasCat.Integral._proof_1
Mathlib.MeasureTheory.Category.MeasCat
[ "Eq.mpr", "MeasureTheory.Measure.instMeasurableSpace", "MeasureTheory.Measure", "Measurable.aemeasurable", "MeasureTheory.Measure.join", "congrArg", "measurable_id", "ENNReal.measurableSpace", "id", "MeasureTheory.Measure.map", "ENNReal", "MeasureTheory.lintegral_map", "Eq.refl", "MeasureT...
false
CategoryTheory.GrothendieckTopology.trivial
Mathlib.CategoryTheory.Sites.Grothendieck
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "PartialOrder.toPreorder", "Preorder.toLE", "CategoryTheory.GrothendieckTopology.trivial._proof_3", "Membership.mem", "CompleteLattice.toConditionallyCompleteLattice", "CompleteLattice.toBoundedOrder", "Set.instSingletonSet", "CategoryTheory....
true
CliffordAlgebra.toBaseChange_ofBaseChange
Mathlib.LinearAlgebra.CliffordAlgebra.BaseChange
[ "CliffordAlgebra.toBaseChange", "CommRing", "Algebra.to_smulCommClass", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "CommRing.toNonUnitalCommRing", "Ring.toNonAssocRing", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "CliffordAlgebra", "AlgHom", "Clifford...
true
CFC.nnrpow_eq_nnrpow_prod._auto_3
Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.Basic
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
CategoryTheory.MorphismProperty.inverseImage_inverseImage
Mathlib.CategoryTheory.MorphismProperty.Basic
[ "CategoryTheory.MorphismProperty", "CategoryTheory.Functor", "CategoryTheory.MorphismProperty.inverseImage", "CategoryTheory.Functor.comp", "CategoryTheory.Category.toCategoryStruct", "Eq", "rfl", "CategoryTheory.Category" ]
true
_private.Mathlib.Logic.Equiv.Basic.0.Equiv.swapCore_swapCore._proof_1_3
Mathlib.Logic.Equiv.Basic
[ "False", "congrArg", "False.elim", "Eq.mp", "True", "eq_self", "eq_true", "Lean.Grind.not_true", "Eq.symm", "Eq", "Not", "Eq.trans", "True.intro" ]
false
Lean.Grind.Linarith.instReprExpr.repr._sunfold
Init.Grind.Ordered.Linarith
[ "Lean.Grind.Linarith.Expr", "Std.Format.instAppend", "Std.Format.line", "Std.Format.group", "GE.ge", "instOfNatNat", "Int", "Lean.Grind.Linarith.Var", "instLENat", "_private.Init.Grind.Ordered.Linarith.0.Lean.Grind.Linarith.instReprExpr.repr.match_1", "instHAppendOfAppend", "Unit", "Lean.Gri...
false
_private.Lean.Meta.Sym.Simp.Have.0.Lean.Meta.Sym.Simp.SimpHaveResult.recOn
Lean.Meta.Sym.Simp.Have
[ "Lean.Expr", "Lean.Level", "_private.Lean.Meta.Sym.Simp.Have.0.Lean.Meta.Sym.Simp.SimpHaveResult.rec", "Lean.Meta.Sym.Simp.Result", "_private.Lean.Meta.Sym.Simp.Have.0.Lean.Meta.Sym.Simp.SimpHaveResult.mk", "_private.Lean.Meta.Sym.Simp.Have.0.Lean.Meta.Sym.Simp.SimpHaveResult" ]
false
_private.Mathlib.Analysis.Convex.Side.0.Affine.Simplex.wOppSide_affineSpan_faceOpposite_point_left_iff._simp_1_3
Mathlib.Analysis.Convex.Side
[ "propext", "Or", "or_comm", "Eq" ]
false
_private.Mathlib.AlgebraicGeometry.AffineScheme.0.AlgebraicGeometry.iSup_basicOpen_of_span_eq_top._simp_1_1
Mathlib.AlgebraicGeometry.AffineScheme
[ "Set.mem_image", "Membership.mem", "Exists", "And", "propext", "Set.image", "Eq", "Set.instMembership", "Set" ]
false
CategoryTheory.Discrete.equivalence_counitIso
Mathlib.CategoryTheory.Discrete.Basic
[ "CategoryTheory.Functor", "Equiv.instEquivLike", "CategoryTheory.Functor.category", "CategoryTheory.eqToIso", "CategoryTheory.Functor.comp", "CategoryTheory.Discrete.functor", "CategoryTheory.Discrete.natIso", "Function.comp", "CategoryTheory.Functor.id", "Equiv", "CategoryTheory.Iso", "Catego...
true
Fin.reduceCastLE._regBuiltin.Fin.reduceCastLE.declare_1._@.Lean.Meta.Tactic.Simp.BuiltinSimprocs.Fin.3994795301._hygCtx._hyg.18
Lean.Meta.Tactic.Simp.BuiltinSimprocs.Fin
[ "IO", "Bool.true", "Unit", "Lean.Meta.Simp.addSEvalprocBuiltinAttr", "Sum.inr", "Lean.Meta.Simp.DSimproc", "Lean.Name.mkStr2", "Fin.reduceCastLE", "Lean.Meta.Simp.Simproc" ]
false
Polynomial.toFinsupp_nsmul
Mathlib.Algebra.Polynomial.Basic
[ "NonAssocSemiring.toAddCommMonoidWithOne", "Polynomial.instNSMul", "instHSMul", "Polynomial.toFinsupp", "AddMonoid.toAddZeroClass", "AddMonoid.toNSMul", "Nat.instAddMonoid", "AddCommMonoidWithOne.toAddMonoidWithOne", "Polynomial", "Nat", "Semiring", "HSMul.hSMul", "AddMonoidAlgebra.nonAssocS...
true
Finset.imageAddMonoidHom.eq_1
Mathlib.Algebra.Group.Pointwise.Finset.Basic
[ "Finset.imageAddMonoidHom._proof_3", "Finset", "AddZeroClass.toAddZero", "AddMonoidHom.mk", "AddMonoidHomClass", "Finset.imageAddMonoidHom._proof_4", "ZeroHom.mk", "AddZero.toZero", "AddZeroClass", "Finset.addZeroClass", "AddZero.toAdd", "Eq.refl", "Finset.imageAddMonoidHom._proof_1", "Fin...
true
CategoryTheory.Limits.snd_of_isColimit
Mathlib.CategoryTheory.Preadditive.Biproducts
[ "CategoryTheory.Functor", "CategoryTheory.Limits.BinaryBicone.inr_snd", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Limits.BinaryBicone.pt", "CategoryTheory.Limits.BinaryCofan.IsColimit.desc", "CategoryTheory.Functor.category", "CategoryTheory.Limits.BinaryBic...
true
WithTopology.casesOn
Mathlib.Topology.Defs.Basic
[ "WithTopology.toTopology", "TopologicalSpace", "WithTopology.rec", "WithTopology" ]
false