proposition: Lemma reindexed_action_data_is_bifunctor: is_bifunctor reindexed_action_data.
proof: Proof. split5; red; intros; cbn. - apply (bifunctor_leftid Act). - rewrite functor_id. apply (bifunctor_rightid Act). - apply (bifunctor_leftcomp Act). - rewrite functor_comp. apply (bifunctor_rightcomp Act). - apply (bifunctor_equalwhiskers Act). 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