Lemma lwhisker_vcomp_CAT {C D E : category} (F : [C, D]) (G H I : [D, E]) (α : [D, E]⟦G, H⟧) (β : [D, E]⟦H, I⟧) : lwhisker_CAT F α · lwhisker_CAT F β = lwhisker_CAT F (α · β). Proof. apply pathsinv0, pre_whisker_composition. 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.