Definition preserves_is_left_extension {B : bicat} {x y z a : B} {f : x --> z} {g : x --> y} (k : z --> a) {h : y --> z} {τ : f ==> g · h} (Hτ : is_left_extension f g τ) : UU := is_left_extension (f · k) g ((τ ▹ k) • rassociator _ _ _).
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.