∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] {X Y : C} (f : X ⟶ Y),
  CategoryTheory.CategoryStruct.comp
      ((CategoryTheory.uliftCoyoneda.{u_3, u_1, u_2}.rightOp.comp CategoryTheory.coyoneda).map f)
      ((fun X =>
            CategoryTheory.NatIso.ofComponents
              (fun x => (CategoryTheory.uliftCoyonedaEquiv.trans Equiv.ulift.symm).toIso) ⋯)
          Y).hom =
    CategoryTheory.CategoryStruct.comp
      ((fun X =>
            CategoryTheory.NatIso.ofComponents
              (fun x => (CategoryTheory.uliftCoyonedaEquiv.trans Equiv.ulift.symm).toIso) ⋯)
          X).hom
      (((CategoryTheory.evaluation C (Type (max u_1 u_3))).comp
            ((CategoryTheory.Functor.whiskeringRight (CategoryTheory.Functor C (Type (max u_1 u_3)))
                  (Type (max u_1 u_3)) (Type (max (max u_3 u_2) u_1))).obj
              CategoryTheory.uliftFunctor.{u_2, max u_1 u_3})).map
        f)