Definition locally_posetal_bicat_univalent_2_0 {B : bicat} (HB : is_locally_posetal_bicat B) (H : is_univalent (locally_posetal_bicat_to_category HB)) : is_univalent_2_0 B. Proof. intros x y. use weqhomot. - exact (locally_posetal_left_adj_equiv_weq_z_iso HB x y ∘ make_weq _ (H x y))%weq. - abstract (intro p ; induction p ; use subtypePath ; [ intro ; apply isaprop_left_adjoint_equivalence ; apply HB | ] ; apply idpath). 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.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Constructions. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.Core.AdjointUnique.