Definition comp_profunctor_colim_profunctor (x : C₁) (z : C₃) : C₂ ↛ C₂. Proof. use make_profunctor. - exact (comp_profunctor_colim_profunctor_data x z). - exact (comp_profunctor_colim_profunctor_data_laws x z). 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.