Definition reindexed_action_unitorinv_data : action_unitorinv_data Mon_W reindexed_action_data. Proof. intro x. exact (auinv^{Act}_{x} · fmonoidal_preservesunit U ⊗^{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.