Lemma runitor_is_runitor_rwhisker (a : C) : runitor (identity a · identity a) = runitor (identity a) ▹ (identity a). Proof. apply (vcomp_rcancel (runitor _ )). - apply is_invertible_2cell_runitor. - apply pathsinv0. apply vcomp_runitor . 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.