Definition one_types_is_univalent_2_0 : is_univalent_2_0 one_types. Proof. intros X Y. use weqhomot. - exact (idoiso_2_0_onetypes X Y). - intros p. induction p ; cbn. apply path_internal_adjoint_equivalence. + apply one_types_is_univalent_2_1. + apply idpath. 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.Univalence. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.Core.EquivToAdjequiv. Require Import UniMath.Bicategories.Core.AdjointUnique.