∀ {J : Type u_1} [inst : CategoryTheory.Category.{u_4, u_1} J] {C : Type u_2}
  [inst_1 : CategoryTheory.Category.{u_3, u_2} C] (F : CategoryTheory.Functor J C),
  (CategoryTheory.CategoryStruct.comp (fun c => ⟨c.pt, c.ι⟩) fun c => { pt := c.fst, ι := c.snd }) =
    CategoryTheory.CategoryStruct.id (CategoryTheory.Limits.Cocone F)