Definition is_left_extension_weq_is_left_lifting_op {B : bicat} {x y z : B} (f : z --> x) (g : y --> x) {h : z --> y} (τ : f ==> h · g) : is_left_lifting _ _ τ ≃ @is_left_extension (op1_bicat B) x y z f g h τ. Proof. exact (idweq _). Defined.
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.