∀ {J : Type u_3} [inst : CategoryTheory.Category.{u_4, u_3} J] {C : Type u_2}
  [inst_1 : CategoryTheory.Category.{u_1, u_2} C] [inst_2 : CategoryTheory.Limits.HasColimitsOfShape J C]
  (F : (CategoryTheory.Functor J C)ᵒᵖ) {X Y : C} (f : X ⟶ Y),
  CategoryTheory.CategoryStruct.comp
      (((CategoryTheory.Limits.colim.op.comp
                (CategoryTheory.coyoneda.comp
                  ((CategoryTheory.Functor.whiskeringRight C (Type u_1) (Type (max u_1 u_3))).obj
                    CategoryTheory.uliftFunctor.{u_3, u_1}))).obj
            F).map
        f)
      ((fun W => CategoryTheory.Limits.colimit.homIso (Opposite.unop F) W) Y).hom =
    CategoryTheory.CategoryStruct.comp ((fun W => CategoryTheory.Limits.colimit.homIso (Opposite.unop F) W) X).hom
      (((CategoryTheory.cocones J C).obj F).map f)