∀ {J : Type w} [inst : LinearOrder J] (C : Type u) [inst_1 : CategoryTheory.Category.{v, u} C]
  [CategoryTheory.Limits.HasIterationOfShape J C] [SuccOrder J] [WellFoundedLT J] {α : Type u_1}
  [inst_5 : LinearOrder α] (h : InitialSeg (fun x1 x2 => x1 < x2) fun x1 x2 => x1 < x2) [Nonempty α],
  CategoryTheory.Limits.HasIterationOfShape α C