Definition inv_adjequiv {C : bicat} {X Y : C} : adjoint_equivalence X Y → adjoint_equivalence Y X. Proof. intro f. use equiv_to_adjequiv. - exact (left_adjoint_right_adjoint f). - exact (inv_equiv (left_equivalence_of_left_adjoint_equivalence f)). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.Core.Univalence.