Lemma is_functor_lwhisker (f : C⟦a, b⟧) : is_functor (lwhisker_functor_data f). Proof. split; red; cbn. - intro g. apply lwhisker_id2. - intros g1 g2 g3 x y. apply pathsinv0, lwhisker_vcomp. Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.PrecategoryBinProduct.