Proposition rmap_representable_profunctor_right {x₁ x₂ : C₂} {y : C₁} (f : x₁ --> x₂) (h : F y --> x₁) : rmap representable_profunctor_right f h = h · f. Proof. cbn. rewrite functor_id. rewrite id_left. apply idpath. Qed.
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.