Definition reindexed_action_data: bifunctor_data W C C. Proof. use make_bifunctor_data. - intros w x. exact (F w ⊗_{Act} x). - intros w x x' f. exact (F w ⊗^{Act}_{l} f). - intros x w w' g. exact (#F g ⊗^{Act}_{r} x). Defined.
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.