∀ {C : Type u_1} {H : Type u_4} {D : Type u_6} [inst : CategoryTheory.Category.{u_3, u_1} C]
  [inst_1 : CategoryTheory.Category.{u_2, u_4} H] [inst_2 : CategoryTheory.Category.{u_5, u_6} D]
  (F' : CategoryTheory.Functor D H) {L : CategoryTheory.Functor C D} {F : CategoryTheory.Functor C H}
  (α : L.comp F' ⟶ F) [inst_3 : F'.IsRightKanExtension α] {G : CategoryTheory.Functor C H} (i : F ≅ G)
  (G' : CategoryTheory.Functor D H) (β : L.comp G' ⟶ G) [inst_4 : G'.IsRightKanExtension β],
  CategoryTheory.CategoryStruct.comp
      (L.whiskerLeft
        (CategoryTheory.CategoryStruct.comp
          (G'.liftOfIsRightKanExtension β F' (CategoryTheory.CategoryStruct.comp α i.hom))
          (F'.liftOfIsRightKanExtension α G' (CategoryTheory.CategoryStruct.comp β i.inv))))
      α =
    CategoryTheory.CategoryStruct.comp (L.whiskerLeft (CategoryTheory.CategoryStruct.id F')) α