∀ {R : Type u_2} {A : Type u_3} [inst : CommSemiring R] [inst_1 : AddCommMonoid A] [inst_2 : Module R A]
  [inst_3 : Coalgebra R A] {a : A},
  CoalgebraStruct.counit a = 1 → CoalgebraStruct.comul a = a ⊗ₜ[R] a → IsGroupLikeElem R a