Definition inv_left_adjoint_equivalence {B : bicat} {x y : B} {f : x --> y} (Hf : left_adjoint_equivalence f) : left_adjoint_equivalence (left_adjoint_right_adjoint Hf). Proof. use equiv_to_adjequiv. exact (inv_equiv (left_equivalence_of_left_adjoint_equivalence Hf)). 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.