Definition one_types_pb_cone {X Y Z : one_types} (f : X --> Z) (g : Y --> Z) : pb_cone f g. Proof. use make_pb_cone. - exact (hfp_HLevel 3 f g). - exact (hfpg f g). - exact (hfpg' f g). - use make_invertible_2cell. + exact (λ x, !(commhfp f g x)). + apply one_type_2cell_iso. Defined.
Require Import UniMath.Foundations.All. 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.Limits.Final. Require Import UniMath.Bicategories.Limits.Products. Require Import UniMath.Bicategories.Limits.Pullbacks. Require Import UniMath.Bicategories.Limits.Inserters. Require Import UniMath.Bicategories.Limits.Equifiers.