Definition prod_profunctor : C₁ ↛ C₂. Proof. use make_profunctor. - exact prod_profunctor_data. - exact prod_profunctor_laws. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Categories.HSET.All. Require Import UniMath.CategoryTheory.Categories.HSET.SetCoends. Require Import UniMath.CategoryTheory.Profunctors.Core.