{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    (Φ : CategoryTheory.SmallObject.SuccStruct C) →
      (J : Type w) →
        [inst_1 : LinearOrder J] →
          [inst_2 : OrderBot J] →
            [inst_3 : SuccOrder J] →
              [inst_4 : WellFoundedLT J] →
                [inst_5 : CategoryTheory.Limits.HasIterationOfShape J C] →
                  CategoryTheory.Limits.IsColimit (Φ.iterationCocone J)