gdistribMulAction — Mathlib

English

The symmetric of the ExtendScalars equivalence matches the localized symmetric map.

Русский

Обратное ExtendScalars совпадает со связанным локализованным отображением.

LaTeX

$$$$ (\\mathrm{Module.FinitePresentation.linearEquivMapExtendScalars S}).symm = \\mathrm{IsLocalizedModule.linearEquiv_symm_apply} S _ _ f. $$$$

Lean4

instance gdistribMulAction [AddMonoid M] [DistribMulAction A M] [SetLike σ M] [AddSubmonoidClass σ M]
    [SetLike.GradedMonoid 𝓐] [SetLike.GradedSMul 𝓐 𝓜] : DirectSum.GdistribMulAction (fun i => 𝓐 i) fun i => 𝓜 i :=
  { SetLike.gmulAction 𝓐 𝓜 with
    smul_add := fun _a _b _c => Subtype.ext <| smul_add _ _ _
    smul_zero := fun _a => Subtype.ext <| smul_zero _ }

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