distribMulAction — Mathlib

English

A distributive multiplicative action of a monoid α on an additive monoid β induces a distributive multiplicative action on Finset β.

Русский

Дистрибутивное умножающее действие моноида α на аддитивном моноиде β порождает распределившееся действие на Finset β.

LaTeX

$$$\text{Finset.distribMulAction}:\; DistribMulAction α (Finset β)$$$

Lean4

/-- A distributive multiplicative action of a monoid on an additive monoid `β` gives a distributive
multiplicative action on `Finset β`. -/
protected noncomputable def distribMulAction [Monoid α] [AddMonoid β] [DistribMulAction α β] :
    DistribMulAction α (Finset β) :=
  coe_injective.distribMulAction coeAddMonoidHom coe_smul_finset

Похожие утверждения