nsmul — Mathlib

English

There is a natural-number scalar action on Finset α, defined as a repeated pointwise addition (the action is formalized, not simply reiterated here).

Русский

Существует действие скаляра по естественным числам на Finset α, задаваемое повторяющимся поэлементным сложением (формализовано).

LaTeX

$$$$ \\text{Finset }\\alpha \\text{ with pointwise addition forms a module-like structure under } \\mathbb{N} \\text{-action} $$$$

Lean4

/-- Repeated pointwise addition (not the same as pointwise repeated addition!) of a `Finset`. See
note [pointwise nat action]. -/
protected def nsmul [Zero α] [Add α] : SMul ℕ (Finset α) :=
  ⟨nsmulRec⟩

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