Proposition rmap_id_profunctor {x₁ x₂ y : C} (f : x₁ --> x₂) (h : y --> x₁) : rmap id_profunctor f h = h · f. Proof. cbn. 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.