Lemma triangle_eq_of_endofunctors: triangle_eq (functorial_composition _ _ _) (functor_identity C) left_unitor_of_endofunctors right_unitor_of_endofunctors associator_of_endofunctors. Proof. intros F G. apply nat_trans_eq_alt. intro c. cbn. rewrite functor_id. do 3 rewrite id_right. apply functor_id. Qed.
Require Import UniMath.Foundations.PartD. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalCategoriesTensored. Require Import UniMath.Bicategories.MonoidalCategories.MonoidalFromBicategory. Require Import UniMath.Bicategories.Core.Examples.BicatOfCats.