Definition actegory_binprod_data : actegory_data Mon_V CD. Proof. use make_actegory_data. - exact actegory_binprod_action_data. - intros cd. exact (catbinprodmor (au_{ActC} _) (au_{ActD} _)). - intros cd. exact (catbinprodmor (auinv^{ActC}_{_}) (auinv^{ActD}_{_})). - intros v w cd. exact (catbinprodmor (aα^{ActC}_{_,_,_}) (aα^{ActD}_{_,_,_})). - intros v w cd. exact (catbinprodmor (aαinv^{ActC}_{_,_,_}) (aαinv^{ActD}_{_,_,_})). 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.Actegories.Actegories. Require Import UniMath.CategoryTheory.Actegories.MorphismsOfActegories. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.ProductCategory. Import BifunctorNotations. Import MonoidalNotations. Import ActegoryNotations.