chore(Analysis/LocallyConvex/SeparatingDual): generalize Algebra.IsCentral.instContinuousLinearMap
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themathqueen
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PR summary a36c84ab82
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| File | Base Count | Head Count | Change |
|---|---|---|---|
| Mathlib.Analysis.LocallyConvex.SeparatingDual | 1745 | 1746 | +1 (+0.06%) |
Import changes for all files
| Files | Import difference |
|---|---|
387 filesMathlib.Analysis.Analytic.Binomial Mathlib.Analysis.BoundedVariation Mathlib.Analysis.CStarAlgebra.ApproximateUnit Mathlib.Analysis.CStarAlgebra.CStarMatrix Mathlib.Analysis.CStarAlgebra.CompletelyPositiveMap Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Basic Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Integral 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.CStarAlgebra.Unitary.Connected Mathlib.Analysis.CStarAlgebra.Unitary.Span Mathlib.Analysis.Calculus.BumpFunction.Convolution Mathlib.Analysis.Calculus.BumpFunction.FiniteDimension Mathlib.Analysis.Calculus.BumpFunction.Normed 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Mathlib.Analysis.Complex.RemovableSingularity Mathlib.Analysis.Complex.Schwarz Mathlib.Analysis.Complex.SummableUniformlyOn Mathlib.Analysis.Complex.TaylorSeries Mathlib.Analysis.Complex.UpperHalfPlane.Exp Mathlib.Analysis.Complex.UpperHalfPlane.Manifold Mathlib.Analysis.Complex.ValueDistribution.CharacteristicFunction Mathlib.Analysis.Complex.ValueDistribution.CountingFunction Mathlib.Analysis.Complex.ValueDistribution.FirstMainTheorem Mathlib.Analysis.Complex.ValueDistribution.ProximityFunction Mathlib.Analysis.Convex.Integral Mathlib.Analysis.Convolution Mathlib.Analysis.Distribution.AEEqOfIntegralContDiff Mathlib.Analysis.Distribution.FourierSchwartz Mathlib.Analysis.Distribution.SchwartzSpace Mathlib.Analysis.Distribution.TemperateGrowth Mathlib.Analysis.Distribution.TemperedDistribution Mathlib.Analysis.Fourier.AddCircleMulti Mathlib.Analysis.Fourier.AddCircle Mathlib.Analysis.Fourier.FourierTransformDeriv Mathlib.Analysis.Fourier.FourierTransform Mathlib.Analysis.Fourier.Inversion Mathlib.Analysis.Fourier.LpSpace Mathlib.Analysis.Fourier.PoissonSummation Mathlib.Analysis.Fourier.RiemannLebesgueLemma Mathlib.Analysis.Fourier.ZMod Mathlib.Analysis.FunctionalSpaces.SobolevInequality Mathlib.Analysis.InnerProductSpace.Harmonic.Analytic Mathlib.Analysis.InnerProductSpace.Harmonic.Constructions Mathlib.Analysis.InnerProductSpace.StarOrder Mathlib.Analysis.InnerProductSpace.WeakOperatorTopology Mathlib.Analysis.LocallyConvex.SeparatingDual Mathlib.Analysis.LocallyConvex.WeakOperatorTopology Mathlib.Analysis.MellinInversion Mathlib.Analysis.MellinTransform Mathlib.Analysis.Meromorphic.Complex Mathlib.Analysis.Normed.Algebra.GelfandFormula Mathlib.Analysis.Normed.Algebra.GelfandMazur Mathlib.Analysis.Normed.Lp.SmoothApprox Mathlib.Analysis.Normed.Module.MultipliableUniformlyOn Mathlib.Analysis.Normed.Operator.CompleteCodomain Mathlib.Analysis.NormedSpace.HahnBanach.SeparatingDual Mathlib.Analysis.NormedSpace.MultipliableUniformlyOn Mathlib.Analysis.ODE.PicardLindelof Mathlib.Analysis.Polynomial.Factorization Mathlib.Analysis.Polynomial.MahlerMeasure Mathlib.Analysis.Real.Pi.Chudnovsky Mathlib.Analysis.Real.Pi.Irrational Mathlib.Analysis.Real.Pi.Leibniz Mathlib.Analysis.Real.Pi.Wallis Mathlib.Analysis.SpecialFunctions.Complex.Analytic Mathlib.Analysis.SpecialFunctions.Complex.Arctan Mathlib.Analysis.SpecialFunctions.Complex.CircleAddChar Mathlib.Analysis.SpecialFunctions.Complex.LogBounds Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.ExpLog.Order Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.IntegralRepresentation Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.Order Mathlib.Analysis.SpecialFunctions.Elliptic.Weierstrass Mathlib.Analysis.SpecialFunctions.Gamma.Basic Mathlib.Analysis.SpecialFunctions.Gamma.Beta Mathlib.Analysis.SpecialFunctions.Gamma.BohrMollerup Mathlib.Analysis.SpecialFunctions.Gamma.Deligne Mathlib.Analysis.SpecialFunctions.Gamma.Deriv 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1 |
Declarations diff
+ instance _root_.Algebra.IsCentral.instContinuousLinearMap [Algebra.IsCentral S R] :
+ toSpanSingleton_comp
- instance _root_.Algebra.IsCentral.continuousLinearMap [ContinuousSMul R V] :
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).
themathqueen
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bench-after-CI
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!bench |
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Benchmark results for 861987c against a36c84a are in! @themathqueen Medium changes (3🟥)
Small changes (1✅, 7🟥)
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themathqueen
commented
Dec 28, 2025
| coe_inj.mp <| LinearMap.comp_toSpanSingleton _ _ | ||
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| omit [ContinuousSMul R₁ M₁] in | ||
| theorem toSpanSingleton_comp (f : M₁ →L[R₁] R₁) (g : M₂) : |
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| theorem toSpanSingleton_comp (f : M₁ →L[R₁] R₁) (g : M₂) : | |
| theorem toSpanSingleton_comp_eq_smulRight (f : M₁ →L[R₁] R₁) (g : M₂) : |
Collaborator
Author
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If the benchmark is bad, I can revert the algebra stuff to just add |
j-loreaux
reviewed
Dec 31, 2025
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| section CommRing | ||
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| variable {R : Type*} [CommRing R] {M : Type*} [TopologicalSpace M] [AddCommGroup M] {M₂ : Type*} | ||
| [TopologicalSpace M₂] [AddCommGroup M₂] {M₃ : Type*} [TopologicalSpace M₃] [AddCommGroup M₃] | ||
| [Module R M] [Module R M₂] [Module R M₃] | ||
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| variable [IsTopologicalAddGroup M₂] [ContinuousConstSMul R M₂] | ||
| section Semiring | ||
| variable {R S M : Type*} [Semiring R] [TopologicalSpace M] [AddCommGroup M] [Module R M] | ||
| [CommSemiring S] [Module S M] [SMulCommClass R S M] [SMul S R] [IsScalarTower S R M] | ||
| [ContinuousConstSMul S M] [IsTopologicalAddGroup M] | ||
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| instance algebra : Algebra R (M₂ →L[R] M₂) := | ||
| instance algebra : Algebra S (M →L[R] M) := | ||
| Algebra.ofModule smul_comp fun _ _ _ => comp_smul _ _ _ |
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Can you please clarify what Algebra structures we're getting out of this that we don't already have? In particular, I would imagine that if R is a sufficiently nice S-algebra, then we probably already get this instance, no? Do you have a use case in mind?
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I can't think of any other use case besides Algebra.IsCentral S (M →L[R] M). But maybe there are? 🤷♀️
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... to two different scalar fields.