coe_logDeriv — Mathlib

English

Casting from a base field to an extension does not change logDeriv for the element viewed in the larger field.

Русский

Перекрытие поля базы в расширение не меняет logDeriv элемента при его восприятии в большем поле.

LaTeX

$$$\\logDeriv a = \\logDeriv (a : K)$$$

Lean4

@[norm_cast]
theorem _root_.algebraMap.coe_logDeriv {F K : Type*} [Field F] [Field K] [Differential F] [Differential K] [Algebra F K]
    [DifferentialAlgebra F K] (a : F) : logDeriv a = logDeriv (a : K) :=
  (logDeriv_algebraMap a).symm

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