∀ {α : Type u_6} {β : Type u_7} {inst : Preorder α} {inst_1 : Preorder β} {inst_2 : TopologicalSpace α}
  {inst_3 : TopologicalSpace β} {toOrderHom : α →o β} {continuous_toFun : Continuous toOrderHom.toFun}
  {toOrderHom_1 : α →o β} {continuous_toFun_1 : Continuous toOrderHom_1.toFun},
  { toOrderHom := toOrderHom, continuous_toFun := continuous_toFun } =
      { toOrderHom := toOrderHom_1, continuous_toFun := continuous_toFun_1 } →
    toOrderHom = toOrderHom_1