∀ {R : Type u_1} {A : Type u_2} [inst : CommSemiring R] [inst_1 : AddCommMonoid A] [inst_2 : Module R A]
  [inst_3 : Coalgebra R A] (x : GroupLike R A),
  { val := ↑⟨↑x, ⋯⟩, isGroupLikeElem_val := ⋯ } = { val := ↑⟨↑x, ⋯⟩, isGroupLikeElem_val := ⋯ }