Definition reindexed_actorinv_data : actorinv_data Mon_W reindexed_action_data. Proof. intros v w x. exact (aαinv^{Act}_{F v,F w,x} · fmonoidal_preservestensordata U v w ⊗^{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.