algebraMap_eq' — Mathlib

English

For a base ring S with an algebra structure on R, algebraMap S (AdjoinRoot f) factors as (of f) ∘ algebraMap S R.

Русский

Для основания S с структурой алгебры над R отображение algebraMap_S AdjoinRoot f факторизуется через (of f) ∘ algebraMap_S R.

LaTeX

$$$algebraMap_S (AdjoinRoot f) = (of f) \\circ algebraMap_S R$$$

Lean4

theorem algebraMap_eq' [CommSemiring S] [Algebra S R] : algebraMap S (AdjoinRoot f) = (of f).comp (algebraMap S R) :=
  rfl

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