∀ {C : Type u_4} [inst : CategoryTheory.Category.{u_3, u_4} C] {D : Type u_2}
  [inst_1 : CategoryTheory.Category.{u_1, u_2} D] {F : CategoryTheory.Functor C D} {G : CategoryTheory.Functor D C}
  (adj : F ⊣ G) [inst_2 : ∀ (X : C), CategoryTheory.IsIso (adj.unit.app X)]
  [inst_3 : ∀ (Y : D), CategoryTheory.IsIso (adj.counit.app Y)] (X : C),
  CategoryTheory.CategoryStruct.comp
      (F.map ((CategoryTheory.NatIso.ofComponents (fun X => CategoryTheory.asIso (adj.unit.app X)) ⋯).hom.app X))
      ((CategoryTheory.NatIso.ofComponents (fun Y => CategoryTheory.asIso (adj.counit.app Y)) ⋯).hom.app (F.obj X)) =
    CategoryTheory.CategoryStruct.id (F.obj X)