Definition representable_profunctor_left_data : profunctor_data C₁ C₂. Proof. use make_profunctor_data. - exact (λ y x, y --> F x). - exact (λ y₁ y₂ g x₁ x₂ f h, g · h · #F f). 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.