Definition right_adjoint_to_op1_left_adjoint {B : bicat} {x y : B} {f : x --> y} (Hf : @internal_right_adj B _ _ f) : @left_adjoint (op1_bicat B) _ _ f. Proof. simple refine ((_ ,, (_ ,, _)) ,, (_ ,, _)). - exact (internal_right_adj_left_adjoint Hf). - exact (internal_right_adj_unit Hf). - exact (internal_right_adj_counit Hf). - exact (pr22 Hf). - exact (pr12 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.Examples.OpMorBicat. Require Import UniMath.Bicategories.Morphisms.Adjunctions.