Lemma vcomp_runitor_CAT {C D : category} {F G : [C, D]} (α : [C, D]⟦F, G⟧) : rwhisker_CAT (id1_CAT D) α · runitor_CAT G = runitor_CAT F · α. Proof. apply (nat_trans_eq D); intro c. cbn. 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.