map — Mathlib

English

A compatibility statement for domDomCongr with domCoprod.

Русский

Совместимость domDomCongr с domCoprod.

LaTeX

$$$(a.domCoprod b).domDomCongr (\sigma_a.sumCongr \sigma_b) = (a.domDomCongr \sigma_a).domCoprod (b.domDomCongr \sigma_b).$$$

Lean4

/-- An equivalence between modules implies an equivalence between orientations. -/
def map (e : M ≃ₗ[R] N) : Orientation R M ι ≃ Orientation R N ι :=
  Module.Ray.map <| AlternatingMap.domLCongr R R ι R e

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