Lemma p1types_univalent_2 : is_univalent_2 p1types. Proof. apply total_is_univalent_2. - apply p1types_disp_univalent_2. - apply one_types_is_univalent_2. Defined.
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.OneTypes. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Require Import UniMath.Bicategories.DisplayedBicats.DispUnivalence.