Proposition make_profunctor_square_law : profunctor_nat_trans_law make_profunctor_square_data. Proof. intros y₁ y₂ x₁ x₂ g f h ; cbn -[lmap rmap]. rewrite lmap_precomp_profunctor, rmap_precomp_profunctor. apply Hτ. Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.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. Require Import UniMath.CategoryTheory.Profunctors.Examples. Require Import UniMath.CategoryTheory.Profunctors.Transformation.