∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] {J : Type u_4}
  [inst_1 : CategoryTheory.Category.{u_3, u_4} J] (F : CategoryTheory.Functor J Cᵒᵖ) (c : CategoryTheory.Limits.Cone F)
  (hc : (X : C) → CategoryTheory.Limits.IsLimit ((CategoryTheory.yoneda.obj X).mapCone c))
  (s : CategoryTheory.Limits.Cone F) (j : J),
  (CategoryTheory.CategoryStruct.comp
        (Quiver.Hom.op
          ((hc (Opposite.unop s.pt)).lift ((CategoryTheory.yoneda.obj (Opposite.unop s.pt)).mapCone s)
            (CategoryTheory.CategoryStruct.id (Opposite.unop s.pt))))
        (c.π.app j)).unop =
    (s.π.app j).unop