Definition precomp_profunctor_data : profunctor_data C₁ D₁. Proof. use make_profunctor_data. - exact (λ y x, P (G y) (F x)). - exact (λ y₁ y₂ g x₁ x₂ f h, lmap P (#G g) (rmap P (#F f) h)). Defined.
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.