Definition comp_enriched_profunctor_lmap_mor (y : C₂) : E₃ ⦃ z₂ , z₁ ⦄ ⊗ (P y x ⊗ Q z₁ y) --> comp_enriched_profunctor_ob z₂ x := sym_mon_braiding _ _ _ · mon_lassociator _ _ _ · (identity _ #⊗ (sym_mon_braiding _ _ _ · lmap_e Q z₁ z₂ y)) · comp_enriched_profunctor_in z₂ x y.
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.