∀ (toOrderHom : ℝ →o ℝ) (map_add_one' : ∀ (x : ℝ), toOrderHom.toFun (x + 1) = toOrderHom.toFun x + 1)
  (toOrderHom_1 : ℝ →o ℝ) (map_add_one'_1 : ∀ (x : ℝ), toOrderHom_1.toFun (x + 1) = toOrderHom_1.toFun x + 1),
  ({ toOrderHom := toOrderHom, map_add_one' := map_add_one' } =
      { toOrderHom := toOrderHom_1, map_add_one' := map_add_one'_1 }) =
    (toOrderHom = toOrderHom_1)