logMap_eq_logEmbedding — Mathlib

English

An SMulZeroClass instance for units on the mixed space is defined with smul_zero equal to zero.

Русский

Определен инстанс SMulZeroClass для единиц на смешанном пространстве с свойством smul_zero = 0.

LaTeX

$$SMulZeroClass ((\mathcal{O}_K)^{\times}) (mixedSpace K) with smul_zero$$

Lean4

@[simp]
theorem logMap_eq_logEmbedding (u : (𝓞 K)ˣ) : logMap (mixedEmbedding K u) = logEmbedding K (Additive.ofMul u) := by ext;
  simp

Похожие утверждения