∀ {C : Type u_1} [inst : CategoryTheory.Category.{u_3, u_1} C] {D : Type u_4}
  [inst_1 : CategoryTheory.Category.{u_2, u_4} D] (F : CategoryTheory.Functor C D) (d : D)
  (X : (CategoryTheory.StructuredArrow d F)ᵒᵖ),
  CategoryTheory.CategoryStruct.comp
      ((CategoryTheory.StructuredArrow.toCostructuredArrow F d).map
        ((CategoryTheory.NatIso.ofComponents
                (fun X => (CategoryTheory.StructuredArrow.isoMk (CategoryTheory.Iso.refl (Opposite.unop X).right) ⋯).op)
                ⋯).hom.app
          X))
      ((CategoryTheory.NatIso.ofComponents
              (fun X =>
                CategoryTheory.CostructuredArrow.isoMk
                  (CategoryTheory.Iso.refl
                    (((CategoryTheory.CostructuredArrow.toStructuredArrow' F d).rightOp.comp
                            (CategoryTheory.StructuredArrow.toCostructuredArrow F d)).obj
                        X).left)
                  ⋯)
              ⋯).hom.app
        ((CategoryTheory.StructuredArrow.toCostructuredArrow F d).obj X)) =
    CategoryTheory.CategoryStruct.id ((CategoryTheory.StructuredArrow.toCostructuredArrow F d).obj X)