Definition profunctor_nat_trans_comp {C₁ C₂ : category} {P₁ P₂ P₃ : profunctor C₁ C₂} (τ₁ : profunctor_nat_trans P₁ P₂) (τ₂ : profunctor_nat_trans P₂ P₃) : profunctor_nat_trans P₁ P₃ := nat_trans_comp _ _ _ τ₁ τ₂.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.opp_precat. 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.