Definition monendocat_tensor_data : bifunctor_data [C, C] [C, C] [C, C]. Proof. use make_bifunctor_data. - intros a b. exact (functor_compose a b). - intros a b1 b2 β. exact (lwhisker_CAT _ β). - intros b a1 a2 α. exact (rwhisker_CAT _ α). Defined.
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.FunctorCategory. Require Import UniMath.CategoryTheory.BicatOfCatsElementary. Require Import UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Monoidal.Functors. Import MonoidalNotations.