instSMulCommClassMonoidHom — Mathlib

English

There is a MulAction of DomMulAct M on AddMonoidHom A B, defined similarly by (c • f)(a) = f(mk.symm c • a).

Русский

Существует MulAction DomMulAct M на AddMonoidHom A B, определяемый аналогично: (c • f)(a) = f(mk.symm c • a).

LaTeX

$$$\forall a \in A:\ (c \cdot f)(a) = f(mk.symm c \cdot a)$$$

Lean4

instance [Monoid M'] [MulDistribMulAction M' A] [SMulCommClass M M' A] : SMulCommClass Mᵈᵐᵃ M'ᵈᵐᵃ (A →* B) :=
  DFunLike.coe_injective.smulCommClass (fun _ _ ↦ rfl) (fun _ _ ↦ rfl)

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