Lemma lwhisker_runitor_lunitor (a : C) : identity a ◃ runitor (identity a) = identity a ◃ lunitor (identity a). Proof. apply (vcomp_lcancel (rassociator _ _ _ )). - apply is_invertible_2cell_rassociator. - rewrite runitor_triangle. rewrite lunitor_lwhisker. apply runitor_is_runitor_rwhisker. Qed.
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.Invertible_2cells. Require Import UniMath.Bicategories.Core.Examples.OpMorBicat. Require Import UniMath.Bicategories.Core.Examples.OpCellBicat.