Lemma vcomp_lunitor_CAT {C D : category} {F G : [C, D]} (α : [C, D]⟦F, G⟧) : lwhisker_CAT (id1_CAT C) α · lunitor_CAT G = lunitor_CAT F · α. Proof. apply (nat_trans_eq D); intro c. rewrite id_left; 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.