∀ {n : Type u_2} [inst : Unique n] {X Y : CommRingCat} (f : X ⟶ Y),
  CategoryTheory.CategoryStruct.comp ((CommRingCat.coyoneda.obj (Opposite.op n)).map f)
      ((fun X => (RingEquiv.piUnique fun i => ↑X).toCommRingCatIso) Y).hom =
    CategoryTheory.CategoryStruct.comp ((fun X => (RingEquiv.piUnique fun i => ↑X).toCommRingCatIso) X).hom
      ((CategoryTheory.Functor.id CommRingCat).map f)