Definition pb_1cell_on_id : id₁ (f /≃ g) ==> f /≃₁ linvunitor_invertible_2cell g. Proof. use cell_to_pb_obj. - exact k₁. - exact k₂. - exact pb_1cell_on_id_homot. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Limits.Pullbacks.