Definition pointed_one_types : bicat. Proof. use build_bicategory. - exact pointed_one_type_bicat_data. - exact pointed_one_type_bicat_laws. - intros X Y f g ; cbn in *. use isaset_total2. + exact (impredfun 3 (pr1 X) (pr1 Y) (pr21 Y) (pr1 f) (pr1 g)). + intro ; cbn. repeat intro. apply hlevelntosn. apply (pr21 Y). Defined.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Examples.OneTypes. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Univalence.