∀ {J : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} J] {C : Type u₃} [inst_1 : CategoryTheory.Category.{v₃, u₃} C]
  {D : Type u₄} [inst_2 : CategoryTheory.Category.{v₄, u₄} D] (F : CategoryTheory.Functor C D) {X : D}
  (G : CategoryTheory.Functor J (CategoryTheory.CostructuredArrow F X)) (j : J),
  (CategoryTheory.Limits.Cocone.fromCostructuredArrow F G).ι.app j = (G.obj j).hom