Proposition isaprop_is_absolute_right_extension {B : bicat} {x y z : B} {f : x --> z} {g : x --> y} {h : y --> z} {τ : g · h ==> f} (Hτ : is_right_extension f g τ) : isaprop (is_absolute_right_extension Hτ). Proof. do 2 (use impred ; intro). apply isaprop_preserves_is_right_extension. Qed.
Require Import UniMath.Foundations.All. 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.OpMorBicat. Require Import UniMath.Bicategories.Core.Examples.OpCellBicat.