instMulDistribMulActionMonoidHom — Mathlib

English

If M,M',A,B satisfy certain MonoidAction and SMulCommClass, there is SMulCommClass on MonoidHom A B between DomMulAct M and DomMulAct M'.

Русский

При некоторых условиях: MonoidAction и SMulCommClass между DomMulAct M и DomMulAct M' существуют; получаем SMulCommClass на MonoidHom A B.

LaTeX

$$$SMulCommClass (DomMulAct M) (DomMulAct M') (MonoidHom A B)$$$

Lean4

instance [Monoid M] [Monoid A] [MulDistribMulAction M A] [CommMonoid B] : MulDistribMulAction Mᵈᵐᵃ (A →* B) :=
  DFunLike.coe_injective.mulDistribMulAction (MonoidHom.coeFn A B) fun _ _ ↦ rfl

Похожие утверждения