Lemma actegory_with_canonical_self_action_laws: actegory_laws Mon_V actegory_with_canonical_self_action_data. Proof. split5. - apply monoidal_tensor_is_bifunctor. - apply monoidal_leftunitorlaw. - apply monoidal_associatorlaw. - apply monoidal_triangleidentity. - apply monoidal_pentagonidentity. Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Monoidal.Functors. Require Import UniMath.CategoryTheory.Monoidal.Examples.MonoidalPointedObjects. Require Import UniMath.CategoryTheory.Actegories.Actegories. Import BifunctorNotations. Import MonoidalNotations. Import ActegoryNotations.