x feat(RingTheory): lemmas on finiteness of LinearMap and Module.End#24012
x feat(RingTheory): lemmas on finiteness of LinearMap and Module.End#24012alreadydone wants to merge 2 commits intojyxu/WedderburnArtin_simplefrom
LinearMap and Module.End#24012Conversation
PR summary 6c5e5af9f0
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| File | Base Count | Head Count | Change |
|---|---|---|---|
| Mathlib.RingTheory.Finiteness.Basic | 980 | 988 | +8 (+0.82%) |
| Mathlib.RingTheory.SimpleModule.Basic | 1143 | 1152 | +9 (+0.79%) |
Import changes for all files
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Mathlib.Topology.Algebra.Algebra Mathlib.Topology.Algebra.Category.ProfiniteGrp.Basic Mathlib.Topology.Algebra.Category.ProfiniteGrp.Limits Mathlib.Topology.Algebra.ContinuousAffineMap Mathlib.Topology.Algebra.FilterBasis Mathlib.Topology.Algebra.Group.CompactOpen Mathlib.Topology.Algebra.InfiniteSum.Field Mathlib.Topology.Algebra.InfiniteSum.Module Mathlib.Topology.Algebra.InfiniteSum.Nonarchimedean Mathlib.Topology.Algebra.IntermediateField Mathlib.Topology.Algebra.Module.Basic Mathlib.Topology.Algebra.Module.Cardinality Mathlib.Topology.Algebra.Module.CharacterSpace Mathlib.Topology.Algebra.Module.Equiv Mathlib.Topology.Algebra.Module.LinearMapPiProd Mathlib.Topology.Algebra.Module.LinearMap Mathlib.Topology.Algebra.Module.LinearPMap Mathlib.Topology.Algebra.Module.LocallyConvex Mathlib.Topology.Algebra.Module.Star Mathlib.Topology.Algebra.Module.StrongTopology Mathlib.Topology.Algebra.Module.UniformConvergence Mathlib.Topology.Algebra.Module.WeakBilin Mathlib.Topology.Algebra.Module.WeakDual Mathlib.Topology.Algebra.MvPolynomial Mathlib.Topology.Algebra.NonUnitalAlgebra Mathlib.Topology.Algebra.NonUnitalStarAlgebra Mathlib.Topology.Algebra.Nonarchimedean.AdicTopology Mathlib.Topology.Algebra.Nonarchimedean.Bases Mathlib.Topology.Algebra.Nonarchimedean.Completion Mathlib.Topology.Algebra.Polynomial Mathlib.Topology.Algebra.PontryaginDual Mathlib.Topology.Algebra.ProperAction.ProperlyDiscontinuous Mathlib.Topology.Algebra.SeparationQuotient.Basic Mathlib.Topology.Algebra.SeparationQuotient.Hom Mathlib.Topology.Algebra.SeparationQuotient.Section Mathlib.Topology.Algebra.StarSubalgebra Mathlib.Topology.Algebra.TopologicallyNilpotent Mathlib.Topology.Algebra.UniformField Mathlib.Topology.Algebra.UniformFilterBasis Mathlib.Topology.Algebra.UniformRing Mathlib.Topology.Algebra.Valued.LocallyCompact Mathlib.Topology.Algebra.Valued.ValuationTopology Mathlib.Topology.Baire.BaireMeasurable Mathlib.Topology.Baire.CompleteMetrizable Mathlib.Topology.Bornology.BoundedOperation Mathlib.Topology.CWComplex.Classical.Basic Mathlib.Topology.Category.CompHaus.Basic Mathlib.Topology.Category.CompHaus.EffectiveEpi Mathlib.Topology.Category.CompHaus.Frm Mathlib.Topology.Category.CompHaus.Limits Mathlib.Topology.Category.CompHaus.Projective Mathlib.Topology.Category.CompactlyGenerated Mathlib.Topology.Category.Compactum Mathlib.Topology.Category.DeltaGenerated Mathlib.Topology.Category.LightProfinite.AsLimit Mathlib.Topology.Category.LightProfinite.Basic Mathlib.Topology.Category.LightProfinite.EffectiveEpi Mathlib.Topology.Category.LightProfinite.Extend Mathlib.Topology.Category.LightProfinite.Limits Mathlib.Topology.Category.LightProfinite.Sequence Mathlib.Topology.Category.Locale Mathlib.Topology.Category.Profinite.AsLimit Mathlib.Topology.Category.Profinite.Basic Mathlib.Topology.Category.Profinite.CofilteredLimit Mathlib.Topology.Category.Profinite.EffectiveEpi Mathlib.Topology.Category.Profinite.Extend Mathlib.Topology.Category.Profinite.Limits Mathlib.Topology.Category.Profinite.Nobeling (new file) Mathlib.Topology.Category.Profinite.Product Mathlib.Topology.Category.Profinite.Projective Mathlib.Topology.Category.Stonean.Adjunctions Mathlib.Topology.Category.Stonean.Basic Mathlib.Topology.Category.Stonean.EffectiveEpi Mathlib.Topology.Category.Stonean.Limits Mathlib.Topology.Compactification.OnePointEquiv Mathlib.Topology.Compactness.CompactlyGeneratedSpace Mathlib.Topology.Compactness.DeltaGeneratedSpace Mathlib.Topology.ContinuousMap.Algebra Mathlib.Topology.ContinuousMap.Bounded.ArzelaAscoli Mathlib.Topology.ContinuousMap.Bounded.Basic Mathlib.Topology.ContinuousMap.Bounded.Normed Mathlib.Topology.ContinuousMap.Bounded.Star Mathlib.Topology.ContinuousMap.BoundedCompactlySupported Mathlib.Topology.ContinuousMap.Compact Mathlib.Topology.ContinuousMap.CompactlySupported Mathlib.Topology.ContinuousMap.ContinuousMapZero Mathlib.Topology.ContinuousMap.ContinuousSqrt Mathlib.Topology.ContinuousMap.Ideals Mathlib.Topology.ContinuousMap.Lattice Mathlib.Topology.ContinuousMap.LocallyConstant Mathlib.Topology.ContinuousMap.Periodic Mathlib.Topology.ContinuousMap.Polynomial Mathlib.Topology.ContinuousMap.StarOrdered Mathlib.Topology.ContinuousMap.Star Mathlib.Topology.ContinuousMap.StoneWeierstrass Mathlib.Topology.ContinuousMap.Units Mathlib.Topology.ContinuousMap.Weierstrass Mathlib.Topology.ContinuousMap.ZeroAtInfty Mathlib.Topology.Germ Mathlib.Topology.Homotopy.Contractible Mathlib.Topology.Homotopy.HomotopyGroup Mathlib.Topology.Homotopy.Lifting Mathlib.Topology.Homotopy.Path Mathlib.Topology.Homotopy.Product Mathlib.Topology.Instances.Complex Mathlib.Topology.Instances.RealVectorSpace Mathlib.Topology.Instances.TrivSqZeroExt Mathlib.Topology.LocallyConstant.Algebra Mathlib.Topology.Maps.Proper.CompactlyGenerated Mathlib.Topology.MetricSpace.Algebra Mathlib.Topology.MetricSpace.CantorScheme Mathlib.Topology.MetricSpace.CauSeqFilter Mathlib.Topology.MetricSpace.Closeds Mathlib.Topology.MetricSpace.Completion Mathlib.Topology.MetricSpace.Contracting Mathlib.Topology.MetricSpace.GromovHausdorffRealized Mathlib.Topology.MetricSpace.GromovHausdorff Mathlib.Topology.MetricSpace.HausdorffDistance Mathlib.Topology.MetricSpace.HolderNorm Mathlib.Topology.MetricSpace.Holder Mathlib.Topology.MetricSpace.Kuratowski Mathlib.Topology.MetricSpace.PartitionOfUnity Mathlib.Topology.MetricSpace.Perfect Mathlib.Topology.MetricSpace.PiNat Mathlib.Topology.MetricSpace.Polish Mathlib.Topology.MetricSpace.ThickenedIndicator Mathlib.Topology.MetricSpace.Thickening Mathlib.Topology.MetricSpace.Ultra.ContinuousMaps Mathlib.Topology.Metrizable.Urysohn Mathlib.Topology.Order.Category.FrameAdjunction Mathlib.Topology.PartitionOfUnity Mathlib.Topology.Separation.CompletelyRegular Mathlib.Topology.Separation.NotNormal Mathlib.Topology.Sheaves.CommRingCat Mathlib.Topology.Sheaves.MayerVietoris Mathlib.Topology.TietzeExtension Mathlib.Topology.UniformSpace.Dini Mathlib.Topology.UniformSpace.ProdApproximation Mathlib.Topology.UrysohnsBounded Mathlib.Topology.UrysohnsLemma |
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159 filesMathlib.Algebra.Algebra.Subalgebra.Rank Mathlib.Algebra.AlgebraicCard Mathlib.Algebra.Category.Grp.EnoughInjectives Mathlib.Algebra.Category.Grp.Injective Mathlib.Algebra.Category.Grp.LargeColimits Mathlib.Algebra.Category.Grp.Ulift Mathlib.Algebra.Category.ModuleCat.EnoughInjectives Mathlib.Algebra.Category.ModuleCat.Free Mathlib.Algebra.Category.Ring.Constructions Mathlib.Algebra.Category.Ring.Epi Mathlib.Algebra.Category.Ring.FinitePresentation Mathlib.Algebra.Category.Ring.Under.Basic Mathlib.Algebra.CharP.LocalRing Mathlib.Algebra.CharP.MixedCharZero Mathlib.Algebra.DualQuaternion Mathlib.Algebra.Group.Translate Mathlib.Algebra.Homology.LocalCohomology Mathlib.Algebra.LinearRecurrence Mathlib.Algebra.Module.CharacterModule Mathlib.Algebra.Module.FinitePresentation Mathlib.Algebra.Module.Hom Mathlib.Algebra.Module.LinearMap.Basic Mathlib.Algebra.Module.Presentation.Finite Mathlib.Algebra.Module.SpanRank Mathlib.Algebra.MvPolynomial.Funext Mathlib.Algebra.Polynomial.Expand Mathlib.Algebra.QuaternionBasis Mathlib.Algebra.Quaternion Mathlib.Algebra.Ring.CentroidHom Mathlib.AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf Mathlib.CategoryTheory.Preadditive.HomOrthogonal Mathlib.Data.Nat.Choose.Lucas Mathlib.Data.Real.GoldenRatio Mathlib.Data.Real.Irrational Mathlib.Data.ZMod.QuotientRing Mathlib.FieldTheory.Minpoly.Basic Mathlib.FieldTheory.MvRatFunc.Rank Mathlib.FieldTheory.Tower Mathlib.Geometry.RingedSpace.LocallyRingedSpace.HasColimits Mathlib.Geometry.RingedSpace.LocallyRingedSpace.ResidueField Mathlib.Geometry.RingedSpace.LocallyRingedSpace Mathlib.Geometry.RingedSpace.OpenImmersion Mathlib.Geometry.RingedSpace.PresheafedSpace.Gluing Mathlib.GroupTheory.FreeGroup.GeneratorEquiv Mathlib.GroupTheory.GroupAction.DomAct.ActionHom Mathlib.GroupTheory.GroupAction.DomAct.Basic Mathlib.GroupTheory.Perm.DomMulAct Mathlib.LinearAlgebra.Dimension.Constructions Mathlib.LinearAlgebra.Dimension.Finite Mathlib.LinearAlgebra.Dimension.FreeAndStrongRankCondition Mathlib.LinearAlgebra.Dimension.Free Mathlib.LinearAlgebra.Dimension.RankNullity Mathlib.LinearAlgebra.Dimension.StrongRankCondition Mathlib.LinearAlgebra.FreeAlgebra Mathlib.LinearAlgebra.FreeModule.Finite.Quotient Mathlib.LinearAlgebra.FreeModule.IdealQuotient Mathlib.LinearAlgebra.FreeModule.Int Mathlib.LinearAlgebra.FreeModule.ModN Mathlib.LinearAlgebra.FreeModule.PID Mathlib.LinearAlgebra.FreeModule.StrongRankCondition Mathlib.LinearAlgebra.InvariantBasisNumber Mathlib.LinearAlgebra.LinearDisjoint Mathlib.LinearAlgebra.Matrix.Ideal Mathlib.LinearAlgebra.Matrix.InvariantBasisNumber Mathlib.LinearAlgebra.TensorProduct.Vanishing Mathlib.NumberTheory.DiophantineApproximation.Basic Mathlib.NumberTheory.DiophantineApproximation.ContinuedFractions Mathlib.NumberTheory.FLT.Polynomial Mathlib.NumberTheory.Pell Mathlib.NumberTheory.Rayleigh Mathlib.RingTheory.AdicCompletion.Basic Mathlib.RingTheory.AdicCompletion.LocalRing Mathlib.RingTheory.AdicCompletion.Noetherian Mathlib.RingTheory.Adjoin.Dimension Mathlib.RingTheory.Adjoin.FG Mathlib.RingTheory.Adjoin.Tower Mathlib.RingTheory.Algebraic.Basic Mathlib.RingTheory.Algebraic.MvPolynomial Mathlib.RingTheory.AlgebraicIndependent.Transcendental Mathlib.RingTheory.DualNumber Mathlib.RingTheory.EssentialFiniteness Mathlib.RingTheory.Filtration Mathlib.RingTheory.FinitePresentation Mathlib.RingTheory.FiniteStability Mathlib.RingTheory.FiniteType Mathlib.RingTheory.Finiteness.Ideal Mathlib.RingTheory.Finiteness.Quotient Mathlib.RingTheory.Finiteness.Small Mathlib.RingTheory.Flat.Basic Mathlib.RingTheory.Flat.CategoryTheory Mathlib.RingTheory.Flat.Equalizer Mathlib.RingTheory.Flat.EquationalCriterion Mathlib.RingTheory.Flat.FaithfullyFlat.Algebra Mathlib.RingTheory.Flat.FaithfullyFlat.Basic Mathlib.RingTheory.Flat.Localization Mathlib.RingTheory.Flat.Stability Mathlib.RingTheory.FractionalIdeal.Basic Mathlib.RingTheory.FractionalIdeal.Extended Mathlib.RingTheory.FractionalIdeal.Operations Mathlib.RingTheory.GradedAlgebra.FiniteType Mathlib.RingTheory.GradedAlgebra.HomogeneousLocalization Mathlib.RingTheory.GradedAlgebra.Noetherian Mathlib.RingTheory.Ideal.AssociatedPrime Mathlib.RingTheory.Ideal.MinimalPrime.Localization Mathlib.RingTheory.Ideal.Quotient.Index Mathlib.RingTheory.Ideal.Quotient.Noetherian Mathlib.RingTheory.IntegralClosure.IsIntegral.Basic Mathlib.RingTheory.Jacobson.Ideal Mathlib.RingTheory.Jacobson.Polynomial Mathlib.RingTheory.Jacobson.Radical Mathlib.RingTheory.KrullDimension.Basic Mathlib.RingTheory.KrullDimension.Field Mathlib.RingTheory.Lasker Mathlib.RingTheory.LocalProperties.Basic Mathlib.RingTheory.LocalProperties.Exactness Mathlib.RingTheory.LocalProperties.Projective Mathlib.RingTheory.LocalProperties.Reduced Mathlib.RingTheory.LocalProperties.Submodule Mathlib.RingTheory.LocalRing.MaximalIdeal.Basic Mathlib.RingTheory.LocalRing.ResidueField.Defs Mathlib.RingTheory.Localization.AsSubring Mathlib.RingTheory.Localization.AtPrime Mathlib.RingTheory.Localization.Away.Lemmas Mathlib.RingTheory.Localization.Finiteness Mathlib.RingTheory.Localization.Free Mathlib.RingTheory.Localization.InvSubmonoid Mathlib.RingTheory.Localization.LocalizationLocalization Mathlib.RingTheory.Localization.Submodule Mathlib.RingTheory.MvPolynomial Mathlib.RingTheory.Nakayama Mathlib.RingTheory.Noetherian.Basic Mathlib.RingTheory.Noetherian.Nilpotent Mathlib.RingTheory.Noetherian.Orzech Mathlib.RingTheory.Polynomial.Basic Mathlib.RingTheory.Polynomial.Quotient Mathlib.RingTheory.Polynomial.UniqueFactorization Mathlib.RingTheory.ReesAlgebra Mathlib.RingTheory.RingHom.FiniteType Mathlib.RingTheory.RingHom.Finite Mathlib.RingTheory.RingHom.Injective Mathlib.RingTheory.RingHom.Locally Mathlib.RingTheory.RingHom.Surjective Mathlib.RingTheory.RingHomProperties Mathlib.RingTheory.SimpleRing.Matrix Mathlib.RingTheory.Spectrum.Maximal.Localization Mathlib.RingTheory.Spectrum.Prime.Basic Mathlib.RingTheory.Spectrum.Prime.RingHom Mathlib.RingTheory.Support Mathlib.RingTheory.SurjectiveOnStalks Mathlib.RingTheory.TensorProduct.Finite Mathlib.RingTheory.ZMod Mathlib.Tactic.ReduceModChar Mathlib.Topology.Algebra.Constructions.DomMulAct Mathlib.Topology.Algebra.IsOpenUnits Mathlib.Topology.Algebra.Module.ModuleTopology Mathlib.Topology.Algebra.Valued.ValuedField Mathlib.Topology.Instances.AddCircle.DenseSubgroup Mathlib.Topology.Instances.Irrational Mathlib.Topology.Instances.RatLemmas |
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7 filesMathlib.Data.ZMod.Coprime Mathlib.NumberTheory.FLT.Four Mathlib.NumberTheory.PythagoreanTriples Mathlib.RingTheory.EisensteinCriterion (new file) Mathlib.RingTheory.Polynomial.Eisenstein.Basic Mathlib.RingTheory.Polynomial.Eisenstein.Distinguished Mathlib.Topology.Algebra.SeparationQuotient.FiniteDimensional |
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Mathlib.RingTheory.Finiteness.Finsupp |
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53 filesMathlib.Algebra.Azumaya.Basic Mathlib.Algebra.Azumaya.Matrix Mathlib.Algebra.Category.BialgebraCat.Basic Mathlib.Algebra.Category.BialgebraCat.Monoidal Mathlib.Algebra.Category.HopfAlgebraCat.Basic Mathlib.Algebra.Category.HopfAlgebraCat.Monoidal Mathlib.Algebra.CubicDiscriminant Mathlib.Algebra.Lie.CartanMatrix Mathlib.Algebra.Lie.Free Mathlib.Algebra.Lie.UniversalEnveloping Mathlib.Algebra.Polynomial.Degree.CardPowDegree Mathlib.Algebra.Polynomial.Derivation Mathlib.Algebra.Polynomial.FieldDivision Mathlib.Algebra.Polynomial.Module.AEval Mathlib.Algebra.Polynomial.Module.Basic Mathlib.Algebra.Polynomial.Splits Mathlib.AlgebraicGeometry.EllipticCurve.ModelsWithJ Mathlib.AlgebraicGeometry.EllipticCurve.NormalForms Mathlib.AlgebraicGeometry.EllipticCurve.VariableChange Mathlib.AlgebraicGeometry.EllipticCurve.Weierstrass Mathlib.FieldTheory.RatFunc.Basic Mathlib.NumberTheory.Dioph Mathlib.NumberTheory.FLT.Basic Mathlib.NumberTheory.FLT.MasonStothers Mathlib.NumberTheory.PellMatiyasevic Mathlib.NumberTheory.Zsqrtd.Basic Mathlib.NumberTheory.Zsqrtd.GaussianInt Mathlib.NumberTheory.Zsqrtd.ToReal Mathlib.RingTheory.AlgebraicIndependent.Basic Mathlib.RingTheory.Bezout Mathlib.RingTheory.Bialgebra.Basic Mathlib.RingTheory.Bialgebra.Equiv Mathlib.RingTheory.Bialgebra.Hom Mathlib.RingTheory.Bialgebra.MonoidAlgebra Mathlib.RingTheory.Bialgebra.TensorProduct Mathlib.RingTheory.Coalgebra.MonoidAlgebra Mathlib.RingTheory.EuclideanDomain Mathlib.RingTheory.Finiteness.Subalgebra Mathlib.RingTheory.HopfAlgebra.Basic Mathlib.RingTheory.HopfAlgebra.MonoidAlgebra Mathlib.RingTheory.HopfAlgebra.TensorProduct Mathlib.RingTheory.Ideal.IsPrincipal Mathlib.RingTheory.Int.Basic Mathlib.RingTheory.MvPolynomial.Basic Mathlib.RingTheory.Noetherian.UniqueFactorizationDomain Mathlib.RingTheory.Polynomial.Content Mathlib.RingTheory.Polynomial.Radical Mathlib.RingTheory.Polynomial.SmallDegreeVieta Mathlib.RingTheory.Polynomial.Vieta Mathlib.RingTheory.PrincipalIdealDomainOfPrime Mathlib.RingTheory.PrincipalIdealDomain Mathlib.RingTheory.Valuation.Archimedean Mathlib.RingTheory.Valuation.ValuationRing |
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32 filesMathlib.Algebra.Category.CoalgebraCat.Basic Mathlib.Algebra.Category.CoalgebraCat.ComonEquivalence Mathlib.Algebra.Category.CoalgebraCat.Monoidal Mathlib.Algebra.Colimit.TensorProduct Mathlib.Algebra.Jordan.Basic Mathlib.Algebra.Lie.Abelian Mathlib.Algebra.Lie.BaseChange Mathlib.Algebra.Lie.Derivation.AdjointAction Mathlib.Algebra.Lie.Derivation.Basic Mathlib.Algebra.Lie.Extension Mathlib.Algebra.Lie.IdealOperations Mathlib.Algebra.Lie.Ideal Mathlib.Algebra.Lie.Normalizer Mathlib.Algebra.Lie.OfAssociative Mathlib.Algebra.Lie.Quotient Mathlib.Algebra.Lie.Subalgebra Mathlib.Algebra.Lie.Submodule Mathlib.Algebra.Lie.TensorProduct Mathlib.Algebra.Symmetrized Mathlib.LinearAlgebra.FreeModule.Finite.Basic Mathlib.LinearAlgebra.TensorProduct.Finiteness Mathlib.RingTheory.Artinian.Algebra Mathlib.RingTheory.Artinian.Instances Mathlib.RingTheory.Artinian.Module Mathlib.RingTheory.Artinian.Ring Mathlib.RingTheory.Coalgebra.Basic Mathlib.RingTheory.Coalgebra.Equiv Mathlib.RingTheory.Coalgebra.Hom Mathlib.RingTheory.Coalgebra.TensorProduct Mathlib.RingTheory.Derivation.Lie Mathlib.RingTheory.FiniteLength Mathlib.RingTheory.Finiteness.Projective |
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9 filesMathlib.Algebra.Colimit.Finiteness Mathlib.RepresentationTheory.Maschke Mathlib.RingTheory.Finiteness.Basic Mathlib.RingTheory.Finiteness.Cardinality Mathlib.RingTheory.Finiteness.Lattice Mathlib.RingTheory.Noetherian.Defs Mathlib.RingTheory.Noetherian.Filter Mathlib.RingTheory.OrzechProperty Mathlib.Topology.Algebra.Module.Compact |
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3 filesMathlib.RingTheory.Jacobson.Semiprimary Mathlib.RingTheory.SimpleModule.Basic Mathlib.Topology.Algebra.Module.Simple |
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Mathlib.RingTheory.SimpleModule.Isotypic (new file) |
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Mathlib.RingTheory.SimpleModule.WedderburnArtin (new file) |
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Mathlib.RingTheory.SimpleModule.IsAlgClosed (new file) |
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Declarations diff
+ IsIsotypic
+ IsIsotypic.isotypicComponent
+ IsIsotypic.linearEquiv_finsupp
+ IsIsotypic.linearEquiv_fun
+ IsIsotypic.of_injective
+ IsIsotypic.of_subsingleton
+ IsIsotypicOfType
+ IsIsotypicOfType.isIsotypic
+ IsIsotypicOfType.isotypicComponent
+ IsIsotypicOfType.linearEquiv_finsupp
+ IsIsotypicOfType.linearEquiv_fun
+ IsIsotypicOfType.of_injective
+ IsIsotypicOfType.of_isSimpleModule
+ IsIsotypicOfType.of_isotypicComponent_eq_top
+ IsIsotypicOfType.of_linearEquiv_type
+ IsIsotypicOfType.of_subsingleton
+ IsSemisimpleModule.exists_linearEquiv_dfinsupp
+ IsSemisimpleModule.exists_linearEquiv_fin_dfinsupp
+ IsSimpleRing.exists_algEquiv_matrix_of_isAlgClosed
+ IsSimpleRing.isSemisimpleRing_iff_isArtinianRing
+ IsSimpleRing.tfae
+ LinearEquiv.isIsotypicOfType_iff
+ LinearEquiv.isIsotypicOfType_iff_type
+ LinearEquiv.isIsotypic_iff
+ LinearEquiv.isSemisimpleModule_iff
+ LinearEquiv.isSimpleModule_iff
+ Module.End.intCast_def
+ Module.End.natCast_def
+ Module.moduleEndSelf
+ Module.moduleEndSelfOp
+ Module.toModuleEnd
+ RingEquiv.moduleEndSelf
+ RingEquiv.moduleEndSelfOp
+ Submodule.IsEndInvariant
+ Submodule.le_isotypicComponent
+ Submodule.le_linearEquiv_of_le_sSup
+ Submodule.le_linearEquiv_of_sSup_eq_top
+ Submodule.linearEquiv_of_le_sSup
+ Submodule.linearEquiv_of_sSup_eq_top
+ TwoSidedIdeal.orderIsoIsTwoSided
+ _root_.LinearMap.exists_ne_zero_of_sSup_eq
+ bot_asIdeal
+ bot_lt_isotypicComponent
+ domMulActCongrRight
+ exists_algEquiv_matrix_divisionRing
+ exists_algEquiv_matrix_divisionRing_finite
+ exists_algEquiv_matrix_end_mulOpposite
+ exists_ne_zero_of_sSup_eq_top
+ exists_ringEquiv_matrix_divisionRing
+ exists_ringEquiv_matrix_end_mulOpposite
+ extension_property
+ instance (I : TwoSidedIdeal R) : I.asIdeal.IsTwoSided
+ instance (priority := 50) [SMul T M] [SMulMemClass S T M] [SMulCommClass T R M] :
+ instance (priority := 50) [SMulCommClass M N α] : SMulCommClass M N s
+ instance (priority := 50) [SMulCommClass N M α] : SMulCommClass N M s
+ instance (priority := low) : IsSemisimpleRing R
+ instance : CanLift (Ideal R) (TwoSidedIdeal R) TwoSidedIdeal.asIdeal (·.IsTwoSided)
+ instance [IsSemisimpleModule R S] : IsSemisimpleModule R (isotypicComponent R M S) := by
+ instance [Module R₀ M] [SMulCommClass R R₀ M] [SMul R₀ R] [IsScalarTower R₀ R M]
+ instance [Module R₀ P] [SMulCommClass R R₀ P] [Module.Finite R₀ (M →ₗ[R] P)] :
+ instance [Module.Finite R M] : Module.Finite R Mᵐᵒᵖ := equiv (MulOpposite.opLinearEquiv R)
+ instance [Subsingleton R] : Subsingleton (RingCon R)
+ instance {I : Ideal R} [I.IsTwoSided] : I.jacobson.IsTwoSided
+ instance {R A} [CommSemiring R] [Semiring A] [Algebra R A] [Module.Finite R A] :
+ isCoatom_iff_eq_bot
+ isEndInvariant_iff_isTwoSided
+ isEndInvariant_isotypicComponent
+ isIsotypic
+ isIsotypicOfType_submodule_iff
+ isIsotypic_iff_isEndInvariant_imp_bot_or_top
+ isIsotypic_submodule_iff
+ isSimpleRing_iff_isTwoSided_imp
+ isSimpleRing_isArtinianRing_iff
+ isotypicComponent
+ isotypicComponent_eq_top_iff
+ le_ker_iff_comp_subtype_eq_zero
+ linearEquiv_of_ne_zero
+ linearProjOfIsCompl_surjective
+ mopMatrix
+ ne_zero_of_injective
+ ne_zero_of_surjective
+ nontrivial_congr
+ nontrivial_iff
+ of_isComplemented_codomain
+ of_isComplemented_domain
+ subsingleton_iff
+ surjective_comp_linearProjOfIsCompl
+ surjective_comp_subtype_of_isComplemented
+ top_asIdeal
+-+ isAtom_iff_eq_top
- End.intCast_def
- End.natCast_def
- instance : CanLift (Ideal R) (TwoSidedIdeal R) TwoSidedIdeal.asIdeal
- toModuleEnd
You can run this locally as follows
## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>
## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>The doc-module for script/declarations_diff.sh contains some details about this script.
No changes to technical debt.
You can run this locally as
./scripts/technical-debt-metrics.sh pr_summary
- The
relativevalue is the weighted sum of the differences with weight given by the inverse of the current value of the statistic. - The
absolutevalue is therelativevalue divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).
LinearMap and Module.EndLinearMap and Module.End
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Pull Request Overview
This PR introduces new lemmas and instances related to finiteness properties in module theory as well as refinements in additive translations. Key changes include:
- Updates to the to_additive frontend for improved abbreviation handling (e.g. "Scalar Tower" → "VAddAssocClass").
- New instances and theorems in RingTheory and Finite modules (e.g. Module.Finite instances for linear maps and Module.End).
- Additions of new lemmas for LinearAlgebra projections and bilinear map compositions, along with minor improvements in group action definitions.
Reviewed Changes
Copilot reviewed 12 out of 12 changed files in this pull request and generated 3 comments.
Show a summary per file
| File | Description |
|---|---|
| Mathlib/Tactic/ToAdditive/Frontend.lean | Updated abbreviation rules for scalar tower names. |
| Mathlib/RingTheory/SimpleModule/Basic.lean | Added instances for Module.Finite on linear maps with complemented domains/codomains. |
| Mathlib/RingTheory/Finiteness/Basic.lean | Introduced new finiteness instances and streamlined proofs using concise rewriting. |
| Mathlib/LinearAlgebra/Projection.lean | Added surjectivity lemmas for projection-related compositions. |
| Mathlib/LinearAlgebra/Dual/Lemmas.lean | Adjusted dual distribution composition to use a placeholder in compRight. |
| Mathlib/LinearAlgebra/BilinearMap.lean | Added a new lcomp definition with associated simp theorems. |
| Mathlib/GroupTheory/GroupAction/* | Minor attribute and instance adjustments for scalar towers. |
| Mathlib/Algebra/Module/LinearMap/End.lean | Revised compRight to accommodate a more structured variable setup and restrictScalars. |
| /-- Composition by `f : M₂ → M₃` is a linear map from the space of linear maps `M → M₂` | ||
| to the space of linear maps `M → M₃`. -/ | ||
| def compRight (f : M₂ →ₗ[R] M₃) : (M →ₗ[R] M₂) →ₗ[R] M →ₗ[R] M₃ where | ||
| def compRight (f : M₁ →ₗ[R] M₂) : (M →ₗ[R] M₁) →ₗ[S] M →ₗ[R] M₂ where |
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Consider clarifying the role of the parameter S and the use of restrictScalars in the map_smul' definition for future maintainability.
| -/ | ||
| def dualDistrib : Dual R M ⊗[R] Dual R N →ₗ[R] Dual R (M ⊗[R] N) := | ||
| compRight ↑(TensorProduct.lid R R) ∘ₗ homTensorHomMap R M N R R | ||
| compRight _ (TensorProduct.lid R R) ∘ₗ homTensorHomMap R M N R R |
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[nitpick] Avoid using an underscore placeholder in compRight's argument; providing an explicit parameter may enhance code clarity.
| compRight _ (TensorProduct.lid R R) ∘ₗ homTensorHomMap R M N R R | |
| compRight (TensorProduct.map) (TensorProduct.lid R R) ∘ₗ homTensorHomMap R M N R R |
|
|
||
| /-- Composing a given linear map `M → N` with a linear map `N → P` as a linear map from | ||
| `Nₗ →ₗ[R] Pₗ` to `M →ₗ[R] Pₗ`. -/ | ||
| def lcomp (f : M →ₗ[R] M₂) : (M₂ →ₗ[R] N) →ₗ[S] M →ₗ[R] N := |
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[nitpick] Consider adding detailed documentation for the lcomp function to explain the use of flip and its implications.
…variant