Definition comp_enriched_profunctor_coend_data : enriched_profunctor_data E₂ E₂. Proof. use make_enriched_profunctor_data. - exact (λ y₁ y₂, P y₁ x ⊗ Q z y₂). - exact (λ _ _ _, mon_rassociator _ _ _ · (lmap_e P _ _ _ #⊗ identity _)). - exact (λ _ _ _, sym_mon_braiding _ _ _ · mon_lassociator _ _ _ · (identity _ #⊗ (sym_mon_braiding _ _ _ · rmap_e Q _ _ _))). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Limits.Coends. Require Import UniMath.CategoryTheory.OppositeCategory.Core. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.EnrichedCats.BenabouCosmos. Require Import UniMath.CategoryTheory.EnrichedCats.Enrichment. Require Import UniMath.CategoryTheory.EnrichedCats.EnrichmentFunctor. Require Import UniMath.CategoryTheory.EnrichedCats.Profunctors.Profunctor. Require Import UniMath.CategoryTheory.EnrichedCats.Profunctors.Coend. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Monoidal.Structure.Symmetric. Require Import UniMath.CategoryTheory.Monoidal.Structure.Closed. Import MonoidalNotations.