algebraMap_left_apply — Mathlib

English

The left algebra map is compatible with the WithAbs equivalence: algebraMap (WithAbs v) R' x equals algebraMap R R' (WithAbs.equiv v x).

Русский

Левое отображение алгебры совместимо: алгебраMap (WithAbs v) R' x равно алгебраMap R R' (WithAbs.equiv v x).

LaTeX

$$$algebraMap\\,(WithAbs\\,v)\\,R'(x) = algebraMap\\,R\\,R'(WithAbs.equiv\\,v\\,x)$$$

Lean4

theorem algebraMap_left_apply (v : AbsoluteValue R S) (x : WithAbs v) :
    algebraMap (WithAbs v) R' x = algebraMap R R' (WithAbs.equiv v x) :=
  rfl

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