∀ (B : Type u₁) [inst : CategoryTheory.Category.{v₁, u₁} B] (C : Type u₂) [inst_1 : CategoryTheory.Category.{v₂, u₂} C]
  (D : Type u₃) [inst_2 : CategoryTheory.Category.{v₃, u₃} D] (E : Type u₄)
  [inst_3 : CategoryTheory.Category.{v₄, u₄} E] (X : CategoryTheory.Functor C (CategoryTheory.Functor D E))
  (X_1 : CategoryTheory.Functor B C) (Y : CategoryTheory.Functor B D) {X_2 Y_1 : B} (f : X_2 ⟶ Y_1),
  ((((CategoryTheory.Functor.whiskeringRight₂ B C D E).obj X).obj X_1).obj Y).map f =
    CategoryTheory.CategoryStruct.comp ((X.map (X_1.map f)).app (Y.obj X_2)) ((X.obj (X_1.obj Y_1)).map (Y.map f))