Definition locally_posetal_bicat_weq_univalence {B : bicat} (HB : is_locally_posetal_bicat B) : is_univalent_2_0 B ≃ is_univalent (locally_posetal_bicat_to_category HB). Proof. use weqimplimpl. - exact (locally_posetal_bicat_to_category_is_univalent HB). - exact (locally_posetal_bicat_univalent_2_0 HB). - apply isaprop_is_univalent_2_0. - apply isaprop_is_univalent. 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.