∀ (M : Type u_1) [inst : AddCommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedAddMonoid M],
  (↑(DivisibleHull.archimedeanClassOrderHom✝ M)).comp ↑(DivisibleHull.archimedeanClassOrderHomInv✝ M) = OrderHom.id