{G : Type u_1} →
  {H : Type u_2} →
    [inst : AddCommMonoid G] →
      [inst_1 : PartialOrder G] →
        [inst_2 : AddCommMonoid H] → [inst_3 : PartialOrder H] → (G ≃+o H) ≃ (Multiplicative G ≃*o Multiplicative H)