∀ {C : Type u_6} [inst : CategoryTheory.Category.{u_5, u_6} C] {D : Type u_10}
  [inst_1 : CategoryTheory.Category.{u_8, u_10} D] {E : Type u_4} [inst_2 : CategoryTheory.Category.{u_3, u_4} E]
  {C' : Type u_2} {D' : Type u_9} [inst_3 : CategoryTheory.Category.{u_1, u_2} C']
  [inst_4 : CategoryTheory.Category.{u_7, u_9} D'] (F₁ : CategoryTheory.Functor C D) (F₂ : CategoryTheory.Functor C' D')
  (G : CategoryTheory.Functor (D × D') E) (X₁ : C) {X Y : C'} (f : X ⟶ Y),
  CategoryTheory.CategoryStruct.comp (((CategoryTheory.Functor.curry.obj ((F₁.prod F₂).comp G)).obj X₁).map f)
      ((fun X₂ => CategoryTheory.Iso.refl (((CategoryTheory.Functor.curry.obj ((F₁.prod F₂).comp G)).obj X₁).obj X₂))
          Y).hom =
    CategoryTheory.CategoryStruct.comp
      ((fun X₂ => CategoryTheory.Iso.refl (((CategoryTheory.Functor.curry.obj ((F₁.prod F₂).comp G)).obj X₁).obj X₂))
          X).hom
      (((F₁.comp
                ((CategoryTheory.Functor.curry.obj G).comp
                  ((CategoryTheory.Functor.whiskeringLeft C' D' E).obj F₂))).obj
            X₁).map
        f)