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feat: basis for multilinear maps#25141

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feat: basis for multilinear maps#25141
eric-wieser wants to merge 58 commits intomasterfrom
eric-wieser/multilinear_basis

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@eric-wieser eric-wieser commented May 24, 2025

morel and others added 30 commits March 4, 2024 17:45
Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
…community/mathlib4 into SM.PiTensorProduct.DirectSum
…community/mathlib4 into SM.PiTensorProduct.DirectSum
Co-authored-by: Eric Wieser <efw@google.com>
Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com>
@github-actions github-actions bot added the t-algebra Algebra (groups, rings, fields, etc) label May 24, 2025
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PR summary 1d142770a9

Import changes exceeding 2%

% File
+2.02% Mathlib.LinearAlgebra.DirectSum.Finsupp

Import changes for modified files

Dependency changes

File Base Count Head Count Change
Mathlib.LinearAlgebra.Multilinear.FiniteDimensional 1358 1088 -270 (-19.88%)
Mathlib.LinearAlgebra.DirectSum.Finsupp 992 1012 +20 (+2.02%)
Mathlib.LinearAlgebra.Multilinear.DFinsupp 983 987 +4 (+0.41%)
Import changes for all files
Files Import difference
Mathlib.LinearAlgebra.Multilinear.FiniteDimensional -270
29 files Mathlib.Algebra.BrauerGroup.Defs Mathlib.Analysis.Convex.Birkhoff Mathlib.Analysis.Normed.Lp.PiLp Mathlib.Data.Matrix.DoublyStochastic Mathlib.Data.Matrix.Kronecker Mathlib.LinearAlgebra.Alternating.Basic Mathlib.LinearAlgebra.Alternating.Curry Mathlib.LinearAlgebra.Alternating.DomCoprod Mathlib.LinearAlgebra.CrossProduct Mathlib.LinearAlgebra.Matrix.AbsoluteValue Mathlib.LinearAlgebra.Matrix.Adjugate Mathlib.LinearAlgebra.Matrix.Basis Mathlib.LinearAlgebra.Matrix.Determinant.Basic Mathlib.LinearAlgebra.Matrix.Determinant.Misc Mathlib.LinearAlgebra.Matrix.Determinant.TotallyUnimodular Mathlib.LinearAlgebra.Matrix.FixedDetMatrices Mathlib.LinearAlgebra.Matrix.IsDiag Mathlib.LinearAlgebra.Matrix.MvPolynomial Mathlib.LinearAlgebra.Matrix.Nondegenerate Mathlib.LinearAlgebra.Matrix.Permutation Mathlib.LinearAlgebra.Matrix.Polynomial Mathlib.LinearAlgebra.Matrix.ProjectiveSpecialLinearGroup Mathlib.LinearAlgebra.Matrix.Reindex Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup Mathlib.LinearAlgebra.Matrix.Transvection Mathlib.LinearAlgebra.Multilinear.Basis Mathlib.RingTheory.MatrixAlgebra Mathlib.RingTheory.MatrixPolynomialAlgebra Mathlib.Topology.Algebra.Module.Alternating.Basic
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Mathlib.LinearAlgebra.Multilinear.DFinsupp 4
Mathlib.LinearAlgebra.ExteriorPower.Pairing 6
287 files Mathlib.Algebra.Category.ModuleCat.ExteriorPower Mathlib.Analysis.Analytic.Polynomial Mathlib.Analysis.CStarAlgebra.ApproximateUnit Mathlib.Analysis.CStarAlgebra.CStarMatrix Mathlib.Analysis.CStarAlgebra.CompletelyPositiveMap Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Basic Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Instances Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Integral Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Isometric Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Order Mathlib.Analysis.CStarAlgebra.GelfandDuality Mathlib.Analysis.CStarAlgebra.Hom Mathlib.Analysis.CStarAlgebra.Module.Constructions Mathlib.Analysis.CStarAlgebra.Module.Defs Mathlib.Analysis.CStarAlgebra.PositiveLinearMap Mathlib.Analysis.CStarAlgebra.SpecialFunctions.PosPart Mathlib.Analysis.CStarAlgebra.Spectrum Mathlib.Analysis.Calculus.AddTorsor.Coord Mathlib.Analysis.Calculus.BumpFunction.Basic 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109 files Mathlib.Analysis.Analytic.Basic Mathlib.Analysis.Analytic.CPolynomialDef Mathlib.Analysis.Analytic.CPolynomial Mathlib.Analysis.Analytic.ChangeOrigin Mathlib.Analysis.Analytic.Composition Mathlib.Analysis.Analytic.Constructions Mathlib.Analysis.Analytic.Inverse Mathlib.Analysis.Analytic.IsolatedZeros Mathlib.Analysis.Analytic.IteratedFDeriv Mathlib.Analysis.Analytic.Linear Mathlib.Analysis.Analytic.OfScalars Mathlib.Analysis.Analytic.Order Mathlib.Analysis.Analytic.RadiusLiminf Mathlib.Analysis.Analytic.Uniqueness Mathlib.Analysis.Analytic.Within Mathlib.Analysis.CStarAlgebra.Exponential Mathlib.Analysis.Calculus.AddTorsor.AffineMap Mathlib.Analysis.Calculus.ContDiff.Basic Mathlib.Analysis.Calculus.ContDiff.Bounds Mathlib.Analysis.Calculus.ContDiff.CPolynomial Mathlib.Analysis.Calculus.ContDiff.Defs Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries Mathlib.Analysis.Calculus.ContDiff.FaaDiBruno Mathlib.Analysis.Calculus.ContDiff.Operations Mathlib.Analysis.Calculus.ContDiff.RCLike Mathlib.Analysis.Calculus.DSlope Mathlib.Analysis.Calculus.Darboux Mathlib.Analysis.Calculus.Deriv.CompMul Mathlib.Analysis.Calculus.Deriv.Inv Mathlib.Analysis.Calculus.Deriv.MeanValue Mathlib.Analysis.Calculus.Deriv.Mul Mathlib.Analysis.Calculus.Deriv.Polynomial Mathlib.Analysis.Calculus.Deriv.Pow Mathlib.Analysis.Calculus.Deriv.Shift Mathlib.Analysis.Calculus.Deriv.ZPow Mathlib.Analysis.Calculus.DerivativeTest Mathlib.Analysis.Calculus.DiffContOnCl Mathlib.Analysis.Calculus.FDeriv.Analytic Mathlib.Analysis.Calculus.FDeriv.Extend Mathlib.Analysis.Calculus.FDeriv.Mul Mathlib.Analysis.Calculus.FDeriv.Symmetric Mathlib.Analysis.Calculus.InverseFunctionTheorem.ContDiff Mathlib.Analysis.Calculus.IteratedDeriv.Defs Mathlib.Analysis.Calculus.IteratedDeriv.FaaDiBruno Mathlib.Analysis.Calculus.IteratedDeriv.Lemmas Mathlib.Analysis.Calculus.LHopital Mathlib.Analysis.Calculus.LineDeriv.Basic Mathlib.Analysis.Calculus.LocalExtr.LineDeriv Mathlib.Analysis.Calculus.LocalExtr.Polynomial Mathlib.Analysis.Calculus.LogDeriv Mathlib.Analysis.Calculus.MeanValue Mathlib.Analysis.Calculus.SmoothSeries Mathlib.Analysis.Calculus.Taylor Mathlib.Analysis.Calculus.UniformLimitsDeriv Mathlib.Analysis.Calculus.VectorField Mathlib.Analysis.Complex.Angle Mathlib.Analysis.Complex.RealDeriv Mathlib.Analysis.Complex.ValueDistribution.CountingFunction Mathlib.Analysis.Convex.Deriv Mathlib.Analysis.Convex.SpecificFunctions.Deriv Mathlib.Analysis.Meromorphic.Basic Mathlib.Analysis.Meromorphic.Divisor Mathlib.Analysis.Meromorphic.FactorizedRational Mathlib.Analysis.Meromorphic.NormalForm Mathlib.Analysis.Meromorphic.Order Mathlib.Analysis.Normed.Algebra.Exponential Mathlib.Analysis.Normed.Algebra.TrivSqZeroExt Mathlib.Analysis.NormedSpace.DualNumber Mathlib.Analysis.ODE.Gronwall Mathlib.Analysis.SpecialFunctions.Arsinh Mathlib.Analysis.SpecialFunctions.BinaryEntropy Mathlib.Analysis.SpecialFunctions.Complex.LogDeriv Mathlib.Analysis.SpecialFunctions.ExpDeriv Mathlib.Analysis.SpecialFunctions.Exponential Mathlib.Analysis.SpecialFunctions.Log.Deriv Mathlib.Analysis.SpecialFunctions.Log.NegMulLog Mathlib.Analysis.SpecialFunctions.MulExpNegMulSq Mathlib.Analysis.SpecialFunctions.OrdinaryHypergeometric Mathlib.Analysis.SpecialFunctions.Pochhammer Mathlib.Analysis.SpecialFunctions.Pow.Deriv Mathlib.Analysis.SpecialFunctions.SmoothTransition Mathlib.Analysis.SpecialFunctions.Sqrt Mathlib.Analysis.SpecialFunctions.Trigonometric.ArctanDeriv Mathlib.Analysis.SpecialFunctions.Trigonometric.Bounds Mathlib.Analysis.SpecialFunctions.Trigonometric.ComplexDeriv Mathlib.Analysis.SpecialFunctions.Trigonometric.Deriv Mathlib.Analysis.SpecialFunctions.Trigonometric.InverseDeriv Mathlib.Analysis.SpecialFunctions.Trigonometric.Series Mathlib.Analysis.SpecialFunctions.Trigonometric.Sinc Mathlib.Combinatorics.Derangements.Exponential Mathlib.Computability.AkraBazzi.AkraBazzi Mathlib.Data.Complex.ExponentialBounds Mathlib.Data.Real.Pi.Bounds Mathlib.Deprecated.AnalyticManifold Mathlib.Geometry.Manifold.AnalyticManifold Mathlib.Geometry.Manifold.IsManifold.Basic Mathlib.NumberTheory.Bertrand Mathlib.NumberTheory.Harmonic.EulerMascheroni Mathlib.NumberTheory.Transcendental.Liouville.Basic Mathlib.NumberTheory.Transcendental.Liouville.LiouvilleNumber Mathlib.NumberTheory.Transcendental.Liouville.LiouvilleWith Mathlib.NumberTheory.Transcendental.Liouville.Residual Mathlib.Probability.Distributions.Poisson Mathlib.RepresentationTheory.GroupCohomology.Functoriality Mathlib.RepresentationTheory.GroupCohomology.Hilbert90 Mathlib.RepresentationTheory.GroupCohomology.LowDegree Mathlib.RingTheory.Polynomial.Hermite.Gaussian Mathlib.Tactic.FunProp.ContDiff Mathlib.Tactic.FunProp.Differentiable
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Mathlib.LinearAlgebra.QuadraticForm.QuadraticModuleCat Mathlib.LinearAlgebra.QuadraticForm.Real Mathlib.LinearAlgebra.QuadraticForm.TensorProduct.Isometries Mathlib.LinearAlgebra.QuadraticForm.TensorProduct Mathlib.LinearAlgebra.RootSystem.BaseChange Mathlib.LinearAlgebra.RootSystem.Basic Mathlib.LinearAlgebra.RootSystem.CartanMatrix Mathlib.LinearAlgebra.RootSystem.Finite.Nondegenerate Mathlib.LinearAlgebra.Semisimple Mathlib.LinearAlgebra.SymplecticGroup Mathlib.LinearAlgebra.TensorProduct.Matrix Mathlib.LinearAlgebra.Trace Mathlib.LinearAlgebra.UnitaryGroup Mathlib.LinearAlgebra.Vandermonde Mathlib.MeasureTheory.Constructions.BorelSpace.ContinuousLinearMap Mathlib.MeasureTheory.Constructions.UnitInterval Mathlib.MeasureTheory.Covering.BesicovitchVectorSpace Mathlib.MeasureTheory.Covering.Besicovitch Mathlib.MeasureTheory.Covering.DensityTheorem Mathlib.MeasureTheory.Covering.Differentiation Mathlib.MeasureTheory.Covering.LiminfLimsup Mathlib.MeasureTheory.Covering.OneDim Mathlib.MeasureTheory.Function.AEEqFun.DomAct Mathlib.MeasureTheory.Function.AEEqOfIntegral Mathlib.MeasureTheory.Function.ConditionalExpectation.AEMeasurable Mathlib.MeasureTheory.Function.ConditionalExpectation.Basic Mathlib.MeasureTheory.Function.ConditionalExpectation.CondexpL1 Mathlib.MeasureTheory.Function.ConditionalExpectation.CondexpL2 Mathlib.MeasureTheory.Function.ConditionalExpectation.Indicator Mathlib.MeasureTheory.Function.ConditionalExpectation.Real Mathlib.MeasureTheory.Function.ConditionalExpectation.Unique Mathlib.MeasureTheory.Function.ContinuousMapDense Mathlib.MeasureTheory.Function.FactorsThrough Mathlib.MeasureTheory.Function.Holder Mathlib.MeasureTheory.Function.Intersectivity Mathlib.MeasureTheory.Function.Jacobian Mathlib.MeasureTheory.Function.L1Space.AEEqFun Mathlib.MeasureTheory.Function.L1Space.Integrable Mathlib.MeasureTheory.Function.L2Space Mathlib.MeasureTheory.Function.LocallyIntegrable Mathlib.MeasureTheory.Function.LpSpace.ContinuousCompMeasurePreserving Mathlib.MeasureTheory.Function.LpSpace.DomAct.Basic Mathlib.MeasureTheory.Function.LpSpace.DomAct.Continuous Mathlib.MeasureTheory.Function.SimpleFuncDenseLp Mathlib.MeasureTheory.Function.SpecialFunctions.RCLike Mathlib.MeasureTheory.Function.StronglyMeasurable.Lemmas Mathlib.MeasureTheory.Function.StronglyMeasurable.Lp Mathlib.MeasureTheory.Function.UnifTight Mathlib.MeasureTheory.Function.UniformIntegrable Mathlib.MeasureTheory.Group.AddCircle Mathlib.MeasureTheory.Group.FundamentalDomain Mathlib.MeasureTheory.Group.GeometryOfNumbers Mathlib.MeasureTheory.Group.IntegralConvolution Mathlib.MeasureTheory.Group.Integral Mathlib.MeasureTheory.Group.ModularCharacter Mathlib.MeasureTheory.Integral.Asymptotics Mathlib.MeasureTheory.Integral.Average Mathlib.MeasureTheory.Integral.Bochner.Basic Mathlib.MeasureTheory.Integral.Bochner.ContinuousLinearMap Mathlib.MeasureTheory.Integral.Bochner.FundThmCalculus Mathlib.MeasureTheory.Integral.Bochner.L1 Mathlib.MeasureTheory.Integral.Bochner.Set Mathlib.MeasureTheory.Integral.Bochner.VitaliCaratheodory Mathlib.MeasureTheory.Integral.BochnerL1 Mathlib.MeasureTheory.Integral.Bochner Mathlib.MeasureTheory.Integral.BoundedContinuousFunction Mathlib.MeasureTheory.Integral.DivergenceTheorem Mathlib.MeasureTheory.Integral.DominatedConvergence Mathlib.MeasureTheory.Integral.FinMeasAdditive Mathlib.MeasureTheory.Integral.FundThmCalculus Mathlib.MeasureTheory.Integral.IntegrableOn Mathlib.MeasureTheory.Integral.IntervalAverage Mathlib.MeasureTheory.Integral.IntervalIntegral.Basic Mathlib.MeasureTheory.Integral.IntervalIntegral.FundThmCalculus Mathlib.MeasureTheory.Integral.IntervalIntegral.Periodic Mathlib.MeasureTheory.Integral.Layercake Mathlib.MeasureTheory.Integral.Periodic Mathlib.MeasureTheory.Integral.Pi Mathlib.MeasureTheory.Integral.Prod Mathlib.MeasureTheory.Integral.RieszMarkovKakutani.Real Mathlib.MeasureTheory.Integral.SetIntegral 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Mathlib.NumberTheory.DirichletCharacter.Orthogonality Mathlib.NumberTheory.FermatPsp Mathlib.NumberTheory.FunctionField Mathlib.NumberTheory.KummerDedekind Mathlib.NumberTheory.LSeries.Basic Mathlib.NumberTheory.LSeries.Convergence Mathlib.NumberTheory.LSeries.Convolution Mathlib.NumberTheory.LSeries.Injectivity Mathlib.NumberTheory.LSeries.Linearity Mathlib.NumberTheory.LegendreSymbol.Basic Mathlib.NumberTheory.LegendreSymbol.GaussEisensteinLemmas Mathlib.NumberTheory.LegendreSymbol.QuadraticChar.Basic Mathlib.NumberTheory.ModularForms.CongruenceSubgroups Mathlib.NumberTheory.ModularForms.EisensteinSeries.Defs Mathlib.NumberTheory.ModularForms.EisensteinSeries.IsBoundedAtImInfty Mathlib.NumberTheory.ModularForms.EisensteinSeries.UniformConvergence Mathlib.NumberTheory.ModularForms.Identities Mathlib.NumberTheory.ModularForms.SlashActions Mathlib.NumberTheory.ModularForms.SlashInvariantForms Mathlib.NumberTheory.Modular Mathlib.NumberTheory.MulChar.Duality 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Mathlib.RingTheory.AlgebraicIndependent.AlgebraicClosure Mathlib.RingTheory.AlgebraicIndependent.RankAndCardinality Mathlib.RingTheory.AlgebraicIndependent.TranscendenceBasis Mathlib.RingTheory.ClassGroup Mathlib.RingTheory.Complex Mathlib.RingTheory.DedekindDomain.AdicValuation Mathlib.RingTheory.DedekindDomain.Basic Mathlib.RingTheory.DedekindDomain.Different Mathlib.RingTheory.DedekindDomain.Dvr Mathlib.RingTheory.DedekindDomain.Factorization Mathlib.RingTheory.DedekindDomain.FiniteAdeleRing Mathlib.RingTheory.DedekindDomain.Ideal Mathlib.RingTheory.DedekindDomain.IntegralClosure Mathlib.RingTheory.DedekindDomain.PID Mathlib.RingTheory.DedekindDomain.SInteger Mathlib.RingTheory.DedekindDomain.SelmerGroup Mathlib.RingTheory.Derivation.MapCoeffs Mathlib.RingTheory.DiscreteValuationRing.TFAE Mathlib.RingTheory.Discriminant Mathlib.RingTheory.Etale.Basic Mathlib.RingTheory.Etale.Field Mathlib.RingTheory.Etale.Kaehler Mathlib.RingTheory.Etale.Pi Mathlib.RingTheory.FractionalIdeal.Norm Mathlib.RingTheory.Frobenius Mathlib.RingTheory.HopkinsLevitzki Mathlib.RingTheory.Ideal.GoingDown Mathlib.RingTheory.Ideal.GoingUp Mathlib.RingTheory.Ideal.Height Mathlib.RingTheory.Ideal.KrullsHeightTheorem Mathlib.RingTheory.Ideal.Norm.AbsNorm Mathlib.RingTheory.Ideal.Norm.RelNorm Mathlib.RingTheory.IntegralClosure.Algebra.Basic Mathlib.RingTheory.IntegralClosure.IntegralRestrict Mathlib.RingTheory.IntegralClosure.IntegrallyClosed Mathlib.RingTheory.IntegralClosure.IsIntegralClosure.Basic Mathlib.RingTheory.Invariant.Basic Mathlib.RingTheory.Invariant.Profinite Mathlib.RingTheory.Invariant Mathlib.RingTheory.IsAdjoinRoot Mathlib.RingTheory.Jacobson.Artinian Mathlib.RingTheory.Jacobson.Ring Mathlib.RingTheory.KrullDimension.Module Mathlib.RingTheory.KrullDimension.NonZeroDivisors Mathlib.RingTheory.KrullDimension.Zero Mathlib.RingTheory.LaurentSeries Mathlib.RingTheory.LittleWedderburn Mathlib.RingTheory.LocalProperties.IntegrallyClosed Mathlib.RingTheory.Localization.Away.AdjoinRoot 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Mathlib.RingTheory.WittVector.Isocrystal Mathlib.RingTheory.WittVector.MulCoeff Mathlib.RingTheory.WittVector.MulP Mathlib.RingTheory.WittVector.StructurePolynomial Mathlib.RingTheory.WittVector.Teichmuller Mathlib.RingTheory.WittVector.Truncated Mathlib.RingTheory.WittVector.Verschiebung Mathlib.Topology.Algebra.Module.Determinant Mathlib.Topology.Algebra.Module.FiniteDimension Mathlib.Topology.Algebra.Ring.Compact Mathlib.Topology.Algebra.Valued.WithVal Mathlib.Topology.CWComplex.Abstract.Basic Mathlib.Topology.Category.TopCat.Sphere Mathlib.Topology.Instances.Matrix
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47 files Mathlib.Analysis.Calculus.Conformal.InnerProduct Mathlib.Analysis.Calculus.Conformal.NormedSpace Mathlib.Analysis.Calculus.Deriv.Add Mathlib.Analysis.Calculus.Deriv.AffineMap Mathlib.Analysis.Calculus.Deriv.Inverse Mathlib.Analysis.Calculus.Deriv.Linear Mathlib.Analysis.Calculus.Deriv.Pi Mathlib.Analysis.Calculus.Deriv.Prod Mathlib.Analysis.Calculus.Deriv.Star Mathlib.Analysis.Calculus.FDeriv.Add Mathlib.Analysis.Calculus.FDeriv.Bilinear Mathlib.Analysis.Calculus.FDeriv.Equiv Mathlib.Analysis.Calculus.FDeriv.Linear Mathlib.Analysis.Calculus.FDeriv.Pi Mathlib.Analysis.Calculus.FDeriv.Prod Mathlib.Analysis.Calculus.FDeriv.Star Mathlib.Analysis.Calculus.InverseFunctionTheorem.Deriv Mathlib.Analysis.Calculus.InverseFunctionTheorem.FDeriv Mathlib.Analysis.Calculus.LagrangeMultipliers Mathlib.Analysis.Calculus.LocalExtr.Basic Mathlib.Analysis.Calculus.LocalExtr.Rolle Mathlib.Analysis.InnerProductSpace.Completion Mathlib.Analysis.InnerProductSpace.ConformalLinearMap Mathlib.Analysis.InnerProductSpace.Continuous Mathlib.Analysis.InnerProductSpace.LinearMap Mathlib.Analysis.InnerProductSpace.Orthogonal Mathlib.Analysis.InnerProductSpace.Orthonormal Mathlib.Analysis.InnerProductSpace.Subspace Mathlib.Analysis.InnerProductSpace.Symmetric Mathlib.Analysis.Normed.Operator.BoundedLinearMaps Mathlib.Analysis.NormedSpace.Alternating.Basic Mathlib.Geometry.Euclidean.Angle.Unoriented.Affine Mathlib.Geometry.Euclidean.Angle.Unoriented.Basic Mathlib.Geometry.Euclidean.Angle.Unoriented.Conformal Mathlib.Geometry.Euclidean.Angle.Unoriented.RightAngle Mathlib.Geometry.Euclidean.Basic Mathlib.Geometry.Euclidean.Inversion.ImageHyperplane Mathlib.Geometry.Euclidean.PerpBisector Mathlib.Geometry.Euclidean.Simplex Mathlib.Geometry.Manifold.ConformalGroupoid Mathlib.LinearAlgebra.SymmetricAlgebra.Basis Mathlib.MeasureTheory.Function.SpecialFunctions.Inner Mathlib.MeasureTheory.Function.StronglyMeasurable.Inner Mathlib.Topology.Algebra.Module.Alternating.Topology Mathlib.Topology.VectorBundle.Basic Mathlib.Topology.VectorBundle.Constructions Mathlib.Topology.VectorBundle.Hom
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4 files Mathlib.Analysis.NormedSpace.Multilinear.Basic Mathlib.RepresentationTheory.GroupCohomology.Basic Mathlib.RepresentationTheory.GroupCohomology.Resolution Mathlib.Topology.Algebra.Module.Multilinear.Topology
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56 files Mathlib.Algebra.Category.FGModuleCat.Basic Mathlib.Algebra.Category.FGModuleCat.Limits Mathlib.Algebra.Category.ModuleCat.Differentials.Basic Mathlib.Algebra.Category.ModuleCat.Differentials.Presheaf Mathlib.Algebra.Lie.InvariantForm Mathlib.Algebra.Module.Presentation.Differentials Mathlib.CategoryTheory.Preadditive.HomOrthogonal Mathlib.LinearAlgebra.BilinearForm.DualLattice Mathlib.LinearAlgebra.BilinearForm.Orthogonal Mathlib.LinearAlgebra.BilinearForm.Properties Mathlib.LinearAlgebra.BilinearForm.TensorProduct Mathlib.LinearAlgebra.Coevaluation Mathlib.LinearAlgebra.Contraction Mathlib.LinearAlgebra.Dimension.Torsion.Basic Mathlib.LinearAlgebra.Dimension.Torsion.Finite Mathlib.LinearAlgebra.Dual.Lemmas Mathlib.LinearAlgebra.Matrix.InvariantBasisNumber Mathlib.LinearAlgebra.PerfectPairing.Basic Mathlib.LinearAlgebra.RootSystem.Base Mathlib.LinearAlgebra.RootSystem.Chain Mathlib.LinearAlgebra.RootSystem.Defs Mathlib.LinearAlgebra.RootSystem.Finite.CanonicalBilinear Mathlib.LinearAlgebra.RootSystem.Finite.G2 Mathlib.LinearAlgebra.RootSystem.Finite.Lemmas Mathlib.LinearAlgebra.RootSystem.Hom Mathlib.LinearAlgebra.RootSystem.Irreducible Mathlib.LinearAlgebra.RootSystem.IsValuedIn Mathlib.LinearAlgebra.RootSystem.OfBilinear Mathlib.LinearAlgebra.RootSystem.Reduced Mathlib.LinearAlgebra.RootSystem.RootPairingCat Mathlib.LinearAlgebra.RootSystem.RootPositive Mathlib.LinearAlgebra.RootSystem.WeylGroup Mathlib.RepresentationTheory.Basic Mathlib.RepresentationTheory.Coinduced Mathlib.RepresentationTheory.Rep Mathlib.RepresentationTheory.Submodule Mathlib.RingTheory.AdicCompletion.AsTensorProduct Mathlib.RingTheory.CotangentLocalizationAway Mathlib.RingTheory.Extension.Basic Mathlib.RingTheory.Extension.Cotangent.Basic Mathlib.RingTheory.Extension.Cotangent.LocalizationAway Mathlib.RingTheory.Extension.Generators Mathlib.RingTheory.Extension.Presentation.Basic Mathlib.RingTheory.Extension Mathlib.RingTheory.Generators Mathlib.RingTheory.Ideal.Cotangent Mathlib.RingTheory.Kaehler.Basic Mathlib.RingTheory.Kaehler.CotangentComplex Mathlib.RingTheory.Kaehler.JacobiZariski Mathlib.RingTheory.Kaehler.Polynomial Mathlib.RingTheory.Kaehler.TensorProduct Mathlib.RingTheory.LocalRing.Module Mathlib.RingTheory.Presentation Mathlib.RingTheory.Regular.Depth Mathlib.RingTheory.Regular.IsSMulRegular Mathlib.RingTheory.Regular.RegularSequence
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107 files Mathlib.Algebra.Algebra.Subalgebra.IsSimpleOrder Mathlib.Algebra.Category.Ring.LinearAlgebra Mathlib.Algebra.Central.TensorProduct Mathlib.Algebra.Lie.CartanSubalgebra Mathlib.Algebra.Lie.Character Mathlib.Algebra.Lie.EngelSubalgebra Mathlib.Algebra.Lie.Engel Mathlib.Algebra.Lie.Nilpotent Mathlib.Algebra.Lie.Semisimple.Basic Mathlib.Algebra.Lie.Semisimple.Defs Mathlib.Algebra.Lie.Sl2 Mathlib.Algebra.Lie.Solvable Mathlib.Algebra.LinearRecurrence Mathlib.Analysis.BoxIntegral.Partition.Additive Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.NonUnital Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Pi Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Restrict Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unique Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unital Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unitary Mathlib.Analysis.CStarAlgebra.ContinuousMap Mathlib.Analysis.CStarAlgebra.Multiplier Mathlib.Analysis.CStarAlgebra.Unitization Mathlib.Analysis.Calculus.Deriv.Basic Mathlib.Analysis.Calculus.Deriv.Comp Mathlib.Analysis.Calculus.Deriv.Slope Mathlib.Analysis.Calculus.Deriv.Support Mathlib.Analysis.Calculus.FDeriv.Basic Mathlib.Analysis.Calculus.FDeriv.Comp Mathlib.Analysis.Calculus.FDeriv.Congr Mathlib.Analysis.Calculus.FDeriv.Const Mathlib.Analysis.Calculus.FDeriv.RestrictScalars Mathlib.Analysis.Calculus.InverseFunctionTheorem.ApproximatesLinearOn Mathlib.Analysis.Convex.AmpleSet Mathlib.Analysis.Convex.BetweenList Mathlib.Analysis.Convex.Between Mathlib.Analysis.Convex.Radon Mathlib.Analysis.Convex.Side Mathlib.Analysis.Convex.StrictConvexBetween Mathlib.Analysis.Convex.Visible Mathlib.Analysis.Fourier.BoundedContinuousFunctionChar Mathlib.Analysis.Normed.Algebra.Unitization Mathlib.Analysis.Normed.Group.ZeroAtInfty Mathlib.Analysis.Normed.Operator.BanachSteinhaus Mathlib.Analysis.Normed.Operator.Banach Mathlib.Analysis.Normed.Unbundled.InvariantExtension Mathlib.Analysis.NormedSpace.Connected Mathlib.Analysis.NormedSpace.Extend Mathlib.Analysis.NormedSpace.OperatorNorm.Mul Mathlib.Analysis.NormedSpace.RCLike Mathlib.Analysis.RCLike.BoundedContinuous Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.PosPart.Basic Mathlib.Data.Real.GoldenRatio Mathlib.FieldTheory.MvRatFunc.Rank Mathlib.LinearAlgebra.AffineSpace.FiniteDimensional Mathlib.LinearAlgebra.Dimension.ErdosKaplansky Mathlib.LinearAlgebra.FreeModule.Finite.Matrix Mathlib.LinearAlgebra.FreeModule.Finite.Quotient Mathlib.LinearAlgebra.FreeModule.IdealQuotient Mathlib.LinearAlgebra.LinearDisjoint Mathlib.LinearAlgebra.Matrix.FiniteDimensional Mathlib.MeasureTheory.Function.ConvergenceInMeasure Mathlib.MeasureTheory.Function.LpOrder Mathlib.MeasureTheory.Function.LpSpace.Basic Mathlib.MeasureTheory.Function.LpSpace.Complete Mathlib.MeasureTheory.Function.LpSpace.ContinuousFunctions Mathlib.MeasureTheory.Function.LpSpace.Indicator Mathlib.MeasureTheory.Integral.RieszMarkovKakutani.Basic Mathlib.NumberTheory.Padics.AddChar Mathlib.NumberTheory.Padics.MahlerBasis Mathlib.RingTheory.FiniteStability Mathlib.RingTheory.Flat.Basic Mathlib.RingTheory.Flat.CategoryTheory Mathlib.RingTheory.Flat.Domain 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.LinearDisjoint Mathlib.RingTheory.LocalProperties.Projective Mathlib.RingTheory.LocalRing.Quotient Mathlib.RingTheory.Localization.Algebra Mathlib.RingTheory.Localization.Finiteness Mathlib.RingTheory.Localization.Free Mathlib.RingTheory.MvPolynomial.Localization Mathlib.RingTheory.MvPolynomial Mathlib.RingTheory.RingHom.FiniteType Mathlib.RingTheory.Support Mathlib.RingTheory.TensorProduct.Nontrivial Mathlib.Topology.ContinuousMap.Bounded.Star Mathlib.Topology.ContinuousMap.Compact Mathlib.Topology.ContinuousMap.CompactlySupported Mathlib.Topology.ContinuousMap.ContinuousMapZero Mathlib.Topology.ContinuousMap.ContinuousSqrt Mathlib.Topology.ContinuousMap.Ideals Mathlib.Topology.ContinuousMap.StarOrdered Mathlib.Topology.ContinuousMap.StoneWeierstrass Mathlib.Topology.ContinuousMap.Weierstrass Mathlib.Topology.ContinuousMap.ZeroAtInfty Mathlib.Topology.Instances.Complex Mathlib.Topology.MetricSpace.GromovHausdorffRealized Mathlib.Topology.MetricSpace.GromovHausdorff Mathlib.Topology.MetricSpace.Ultra.ContinuousMaps Mathlib.Topology.Separation.NotNormal Mathlib.Topology.TietzeExtension
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14 files Mathlib.Analysis.LocallyConvex.StrongTopology Mathlib.Analysis.Normed.Affine.ContinuousAffineMap Mathlib.Analysis.Normed.Field.WithAbs Mathlib.Analysis.Normed.Module.Completion Mathlib.Analysis.NormedSpace.OperatorNorm.Asymptotics Mathlib.Analysis.NormedSpace.OperatorNorm.Basic Mathlib.Analysis.NormedSpace.OperatorNorm.Bilinear Mathlib.Analysis.NormedSpace.OperatorNorm.Completeness Mathlib.Analysis.NormedSpace.OperatorNorm.NNNorm Mathlib.Analysis.NormedSpace.OperatorNorm.NormedSpace Mathlib.Analysis.NormedSpace.OperatorNorm.Prod Mathlib.RingTheory.TensorProduct.MvPolynomial Mathlib.Topology.ContinuousMap.Bounded.Normed Mathlib.Topology.ContinuousMap.BoundedCompactlySupported
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39 files Mathlib.Algebra.Algebra.Subalgebra.Centralizer Mathlib.Algebra.Azumaya.Basic Mathlib.Algebra.Azumaya.Defs Mathlib.Algebra.Azumaya.Matrix Mathlib.Algebra.Category.ModuleCat.Simple Mathlib.Algebra.Homology.LocalCohomology Mathlib.Algebra.Module.FinitePresentation Mathlib.Algebra.Module.Lattice Mathlib.Algebra.Module.Presentation.Finite Mathlib.FieldTheory.Finiteness Mathlib.LinearAlgebra.Dimension.Constructions Mathlib.LinearAlgebra.Dimension.DivisionRing Mathlib.LinearAlgebra.Dimension.Finite Mathlib.LinearAlgebra.Dimension.FreeAndStrongRankCondition Mathlib.LinearAlgebra.Dimension.LinearMap Mathlib.LinearAlgebra.Dimension.Localization Mathlib.LinearAlgebra.Dimension.RankNullity Mathlib.LinearAlgebra.Eigenspace.Basic Mathlib.LinearAlgebra.Eigenspace.Matrix Mathlib.LinearAlgebra.FiniteDimensional.Basic Mathlib.LinearAlgebra.FiniteDimensional.Lemmas Mathlib.LinearAlgebra.Matrix.Diagonal Mathlib.LinearAlgebra.Projectivization.Basic Mathlib.LinearAlgebra.Projectivization.Cardinality Mathlib.LinearAlgebra.Projectivization.Independence Mathlib.LinearAlgebra.Projectivization.Subspace Mathlib.RingTheory.Adjoin.Dimension Mathlib.RingTheory.Ideal.Quotient.Index Mathlib.RingTheory.Length Mathlib.RingTheory.LocalProperties.Basic Mathlib.RingTheory.LocalProperties.Reduced Mathlib.RingTheory.Localization.BaseChange Mathlib.RingTheory.RingHom.Finite Mathlib.RingTheory.RingHom.Locally Mathlib.RingTheory.RingHom.Surjective Mathlib.RingTheory.SimpleModule.Rank Mathlib.RingTheory.TensorProduct.Free Mathlib.RingTheory.TensorProduct.IsBaseChangePi Mathlib.Topology.Compactification.OnePointEquiv
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22 files Mathlib.Algebra.Category.ModuleCat.Presheaf.Free Mathlib.Algebra.Category.ModuleCat.Presheaf.Generator Mathlib.Algebra.Category.ModuleCat.Presheaf.Pullback Mathlib.Algebra.Category.ModuleCat.Sheaf.PullbackContinuous Mathlib.Analysis.Normed.Operator.Compact Mathlib.Condensed.AB Mathlib.Condensed.Discrete.Characterization Mathlib.Condensed.Discrete.Module Mathlib.Condensed.Epi Mathlib.Condensed.Explicit Mathlib.Condensed.Light.AB Mathlib.Condensed.Light.Epi Mathlib.Condensed.Light.Explicit Mathlib.Condensed.Light.Limits Mathlib.Condensed.Light.Module Mathlib.Condensed.Limits Mathlib.Condensed.Module Mathlib.Condensed.Solid Mathlib.LinearAlgebra.TensorProduct.Subalgebra Mathlib.LinearAlgebra.TensorProduct.Submodule Mathlib.LinearAlgebra.TensorProduct.Vanishing Mathlib.Topology.Algebra.Module.StrongTopology
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5 files Mathlib.Algebra.Category.ModuleCat.Projective Mathlib.Algebra.Module.Projective Mathlib.LinearAlgebra.TensorProduct.Basis Mathlib.RingTheory.Finiteness.Projective Mathlib.Topology.Algebra.SeparationQuotient.Section
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Mathlib.Algebra.Category.ModuleCat.Adjunctions Mathlib.LinearAlgebra.DirectSum.Finsupp 20
Mathlib.LinearAlgebra.Multilinear.DirectSum (new file) 990
Mathlib.LinearAlgebra.DFinsupp.PiTensorProduct (new file) 1000
Mathlib.LinearAlgebra.DirectSum.PiTensorProduct (new file) 1004

Declarations diff

+ _root_.Basis.multilinearMap
+ _root_.Basis.multilinearMap_apply
+ _root_.Basis.multilinearMap_apply_apply
+ comp_compMultilinearMap
+ dfinsupp
+ dfinsupp_symm_single_tprod
+ dfinsupp_tprod_apply
+ dfinsupp_tprod_single
+ directSum
+ directSum_ext
+ directSum_symm_lof_tprod
+ directSum_tprod_apply
+ directSum_tprod_lof
+ finsuppPiTensorProduct
+ finsuppPiTensorProduct'
+ finsuppPiTensorProduct'_apply_apply
+ finsuppPiTensorProduct'_tprod_single
+ finsuppPiTensorProduct_apply
+ finsuppPiTensorProduct_symm_single_tprod
+ finsuppPiTensorProduct_tprod_single
+ fromDFinsuppEquiv
+ fromDFinsuppEquiv_apply
+ fromDFinsuppEquiv_single
+ fromDFinsuppEquiv_symm_apply
+ fromDirectSumEquiv
+ fromDirectSumEquiv_apply
+ fromDirectSumEquiv_lof
+ fromDirectSumEquiv_symm_apply
+ fromPiEquiv
+ fromPiEquiv_apply
+ fromPiEquiv_single
+ fromPiEquiv_symm_apply
+ id_compMultilinearMap
+ instance _root_.Module.Finite.multilinearMap [Module.Finite R M₂] :
- instance _root_.Module.Finite.multilinearMap : Module.Finite R (MultilinearMap R M₁ M₂)

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.


Increase in tech debt: (relative, absolute) = (1.00, 0.00)
Current number Change Type
871 1 erw

Current commit 1d142770a9
Reference commit 8661f547e3

You can run this locally as

./scripts/technical-debt-metrics.sh pr_summary
  • The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
  • The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

@mathlib4-dependent-issues-bot mathlib4-dependent-issues-bot added the blocked-by-other-PR This PR depends on another PR (this label is automatically managed by a bot) label May 24, 2025
@github-actions github-actions bot added the large-import Automatically added label for PRs with a significant increase in transitive imports label May 25, 2025
mathlib-bors bot pushed a commit that referenced this pull request May 27, 2025
I found myself wanting these in #25141

We already have some of these results with inconsistent names elsewhere; for now this just adds crosslinks, we can unify the names later.

The names are a little inconsistent here; for the domain we have:

* `LinearEquiv.multilinearMapCongrLeft` (new in this PR)
* `AlternatingMap.domLCongr`
* `ContinuousLinearEquiv.continuousMultilinearMapCongrRight`
* `ContinuousLinearEquiv.continuousAlternatingMapCongrLeft`
  * `ContinuousLinearEquiv.continuousAlternatingMapCongrLeftEquiv` (not a linear equiv)

and for the range:

* `LinearEquiv.multilinearMapCongrRight` (new in this PR)
* `LinearEquiv.alternatingMapCongrRight` (new in this PR)
* `ContinuousLinearEquiv.continuousMultilinearMapCongrRight`
* `ContinuousLinearEquiv.continuousAlternatingMapCongrRight`
@leanprover-community-bot-assistant
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This pull request has conflicts, please merge master and resolve them.

@leanprover-community-bot-assistant leanprover-community-bot-assistant added the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label May 27, 2025
@github-actions github-actions bot removed the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label May 27, 2025
@leanprover-community-bot-assistant
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This pull request has conflicts, please merge master and resolve them.

@leanprover-community-bot-assistant leanprover-community-bot-assistant added the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label May 29, 2025
bwehlin pushed a commit to bwehlin/mathlib4 that referenced this pull request May 31, 2025
…over-community#25142)

I found myself wanting these in leanprover-community#25141

We already have some of these results with inconsistent names elsewhere; for now this just adds crosslinks, we can unify the names later.

The names are a little inconsistent here; for the domain we have:

* `LinearEquiv.multilinearMapCongrLeft` (new in this PR)
* `AlternatingMap.domLCongr`
* `ContinuousLinearEquiv.continuousMultilinearMapCongrRight`
* `ContinuousLinearEquiv.continuousAlternatingMapCongrLeft`
  * `ContinuousLinearEquiv.continuousAlternatingMapCongrLeftEquiv` (not a linear equiv)

and for the range:

* `LinearEquiv.multilinearMapCongrRight` (new in this PR)
* `LinearEquiv.alternatingMapCongrRight` (new in this PR)
* `ContinuousLinearEquiv.continuousMultilinearMapCongrRight`
* `ContinuousLinearEquiv.continuousAlternatingMapCongrRight`
joelriou pushed a commit that referenced this pull request Jun 8, 2025
I found myself wanting these in #25141

We already have some of these results with inconsistent names elsewhere; for now this just adds crosslinks, we can unify the names later.

The names are a little inconsistent here; for the domain we have:

* `LinearEquiv.multilinearMapCongrLeft` (new in this PR)
* `AlternatingMap.domLCongr`
* `ContinuousLinearEquiv.continuousMultilinearMapCongrRight`
* `ContinuousLinearEquiv.continuousAlternatingMapCongrLeft`
  * `ContinuousLinearEquiv.continuousAlternatingMapCongrLeftEquiv` (not a linear equiv)

and for the range:

* `LinearEquiv.multilinearMapCongrRight` (new in this PR)
* `LinearEquiv.alternatingMapCongrRight` (new in this PR)
* `ContinuousLinearEquiv.continuousMultilinearMapCongrRight`
* `ContinuousLinearEquiv.continuousAlternatingMapCongrRight`
mathlib-bors bot pushed a commit that referenced this pull request Dec 4, 2025
Adds a basis for MulilinearMap given bases for the domain and codomain.

This PR builds upon work started in #25141 toward #11155.

Co-authored-by: Oliver Nash <7734364+ocfnash@users.noreply.github.com>
Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com>
Co-authored-by: Eric Wieser <efw@google.com>
Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
Co-authored-by: Oliver Nash <github@olivernash.org>
@mathlib4-dependent-issues-bot mathlib4-dependent-issues-bot removed the blocked-by-other-PR This PR depends on another PR (this label is automatically managed by a bot) label Dec 17, 2025
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6 participants