Definition final_bicat_is_univalent_2_0 : is_univalent_2_0 final_bicat. Proof. intros x y. apply isweqimplimpl. - intros. induction x, y. reflexivity. - apply isasetaprop. exact isapropunit. - simple refine (isaprop_total2 (_ ,, _) (λ η , _ ,, _)). + apply isasetaprop. exact isapropunit. + apply isaprop_left_adjoint_equivalence. exact final_bicat_is_univalent_2_1. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Categories.StandardCategories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.Core.EquivToAdjequiv. Require Import UniMath.Bicategories.Core.AdjointUnique.