toSpanSingleton_add — Mathlib

English

toSpanSingleton commutes with scalar actions: c • toSpanSingleton x = toSpanSingleton (c x).

Русский

toSpanSingleton сохраняет скаляры: $c \cdot$ toSpanSingleton x = toSpanSingleton (c x).

LaTeX

$$$\text{toSpanSingleton}(R_1, c \cdot x) = c \cdot \text{toSpanSingleton}(R_1, x)$.$$

Lean4

theorem toSpanSingleton_add [ContinuousAdd M₁] (x y : M₁) :
    toSpanSingleton R₁ (x + y) = toSpanSingleton R₁ x + toSpanSingleton R₁ y :=
  coe_inj.mp <| LinearMap.toSpanSingleton_add _ _

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