{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    {J : Type u} →
      [inst_1 : LinearOrder J] →
        [inst_2 : SuccOrder J] →
          {j : J} →
            ¬IsMax j →
              (F : CategoryTheory.Functor (↑(Set.Iic j)) C) →
                (X : C) → CategoryTheory.SmallObject.SuccStruct.extendToSucc.obj F X ⟨Order.succ j, ⋯⟩ ≅ X