Definition comp_profunctor_data : profunctor_data C₁ C₃. Proof. use make_profunctor_data. - exact (λ z x, comp_profunctor_ob z x). - exact (λ _ _ k _ _ f h, comp_profunctor_mor k f h). 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.