replicateCol_smul — Mathlib

English

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

Русский

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

LaTeX

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

Lean4

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

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