mulDistribMulAction — Mathlib

English

A multiplicative action of a monoid on a monoid β yields a multiplicative action on Finset β.

Русский

Действие по умножению моноида на моноид β порождает действие на Finset β.

LaTeX

$$$\forall a, x, S$, an induced action on Finset β with smul.$$

Lean4

/-- A multiplicative action of a monoid on a monoid `β` gives a multiplicative action on `Set β`. -/
protected noncomputable def mulDistribMulAction [Monoid α] [Monoid β] [MulDistribMulAction α β] :
    MulDistribMulAction α (Finset β) :=
  coe_injective.mulDistribMulAction coeMonoidHom coe_smul_finset

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