Proposition rmap_representable_profunctor_left {x₁ x₂ : C₁} {y : C₂} (f : x₁ --> x₂) (h : y --> F x₁) : rmap representable_profunctor_left f h = h · #F 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.