∀ {k : Type u_1} {G : Type u_2} {V : Type u_3} [inst : CommSemiring k] [inst_1 : Group G] [inst_2 : AddCommMonoid V]
  [inst_3 : Module k V] (ρ : Representation k G V) (S : Subgroup G)
  [Representation.IsTrivial (MonoidHom.comp ρ S.subtype)] (g h : G), ↑g = ↑h → ρ g = ρ h