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