Proposition id_profunctor_laws : profunctor_laws id_profunctor_data. Proof. repeat split ; intros ; cbn. - rewrite id_left, id_right. apply idpath. - rewrite !assoc'. apply idpath. - apply homset_property. 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.