replicateRow_smul — Mathlib

English

Scalar action commutes with replication: replicateRow ι (x • v) = x • replicateRow ι v.

Русский

Скалярное умножение commuting с повторением: replicateRow ι (x • v) = x • replicateRow ι v.

LaTeX

$$$ \mathrm{replicateRow}\ ι (x \cdot v) = x \cdot \mathrm{replicateRow}\ ι v $$$

Lean4

@[simp]
theorem replicateRow_smul [SMul R α] (x : R) (v : m → α) : replicateRow ι (x • v) = x • replicateRow ι v :=
  by
  ext
  rfl

Похожие утверждения