∀ {A : Type u_1} {G : Type u_2} {M : Type u_4} [inst : CommRing A] [inst_1 : Monoid G] [inst_2 : AddCommMonoid M]
  [inst_3 : Module (MonoidAlgebra A G) M] {σ : Subrepresentation (Representation.ofModule M)} {m : M},
  m ∈ σ.asSubmodule' ↔ m ∈ σ