∀ {α : Type u_1} {β : Type u_2} [inst : AddMonoid α] [inst_1 : PartialOrder α] [inst_2 : AddMonoid β]
  [inst_3 : Preorder β] (m : α) (n : β), AddCommute ((OrderAddMonoidHom.inlₗ α β) m) ((OrderAddMonoidHom.inrₗ α β) n)