∀ {C : Type u_1} [inst : CategoryTheory.SmallCategory C] (X : Cᵒᵖ) {X_1 Y : CategoryTheory.Functor Cᵒᵖ (Type u_1)}
  (f : X_1 ⟶ Y),
  CategoryTheory.CategoryStruct.comp (((CategoryTheory.yoneda.op.comp CategoryTheory.coyoneda).obj X).map f)
      ((fun x => CategoryTheory.yonedaEquiv.toIso) Y).hom =
    CategoryTheory.CategoryStruct.comp ((fun x => CategoryTheory.yonedaEquiv.toIso) X_1).hom
      (((CategoryTheory.evaluation Cᵒᵖ (Type u_1)).obj X).map f)