Proposition isaprop_is_absolute_right_lifting {B : bicat} {x y z : B} {f : z --> x} {g : y --> x} {h : z --> y} {τ : h · g ==> f} (Hτ : is_right_lifting f g τ) : isaprop (is_absolute_right_lifting Hτ). Proof. do 2 (use impred ; intro). apply isaprop_preserves_is_right_lifting. 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.