Definition is_left_extension_weq_is_right_lifting_coop {B : bicat} {x y z : B} (f : z --> x) (g : y --> x) {h : z --> y} (τ : h · g ==> f) : is_right_lifting f g τ ≃ @is_left_extension (op2_bicat (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.