∀ {C : Type u_1} [inst : CategoryTheory.Category.{u_2, u_1} C] (X : C) {X_1 Y : Cᵒᵖ} (f : X_1 ⟶ Y),
  CategoryTheory.CategoryStruct.comp ((CategoryTheory.uliftYoneda.{max u_2 u_3, u_2, u_1}.obj X).map f)
      ((fun x => (Equiv.ulift.trans Equiv.ulift.symm).toIso) Y).hom =
    CategoryTheory.CategoryStruct.comp ((fun x => (Equiv.ulift.trans Equiv.ulift.symm).toIso) X_1).hom
      ((CategoryTheory.uliftYoneda.{u_3, u_2, u_1}.obj X).map f)