∀ {C : Type u_4} [inst : CategoryTheory.Category.{u_3, u_4} C] {D : Type u_6}
  [inst_1 : CategoryTheory.Category.{u_5, u_6} D] (F : CategoryTheory.Functor C D) [inst_2 : F.Final] {E : Type u_2}
  [inst_3 : CategoryTheory.Category.{u_1, u_2} E] (G : CategoryTheory.Functor D E)
  (c : CategoryTheory.Limits.Cocone (F.comp G)) (j : C),
  CategoryTheory.CategoryStruct.comp
      (((CategoryTheory.Functor.id (CategoryTheory.Limits.Cocone (F.comp G))).obj c).ι.app j)
      (CategoryTheory.Iso.refl ((CategoryTheory.Functor.id (CategoryTheory.Limits.Cocone (F.comp G))).obj c).pt).hom =
    ((CategoryTheory.Functor.Final.extendCocone.comp (CategoryTheory.Limits.Cocones.whiskering F)).obj c).ι.app j