∀ (α : Type u_1) (β : Type u_2) [inst : Preorder α] [inst_1 : Preorder β] {a b : α →o β},
  (OrderHom.dual.trans OrderDual.toDual) a ≤ (OrderHom.dual.trans OrderDual.toDual) b ↔
    (OrderHom.dual.trans OrderDual.toDual) a ≤ (OrderHom.dual.trans OrderDual.toDual) b