Lemma lunitor_is_lunitor_lwhisker (a : C) : lunitor (identity a · identity a) = identity a ◃ lunitor (identity a). Proof. apply (vcomp_rcancel (lunitor _ )). - apply is_invertible_2cell_lunitor. - apply pathsinv0. apply vcomp_lunitor . 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.