Lemma lunitor_linvunitor_CAT {C D : category} (F : [C, D]) : lunitor_CAT F · linvunitor_CAT _ = id2_CAT _. Proof. apply (nat_trans_eq D); intro c. apply id_right. Qed.
Require Import UniMath.Foundations.PartD. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.whiskering.