Definition graph_enriched_profunctor_enrichment_data : enrichment_data graph_enriched_profunctor V. Proof. simple refine (_ ,, _ ,, _ ,, _ ,, _). - intros xyf₁ xyf₂. exact (graph_enriched_profunctor_enrichment_hom (pr22 xyf₁) (pr22 xyf₂)). - intros xyf. exact (graph_enriched_profunctor_enrichment_id (pr22 xyf)). - intros xyf₁ xyf₂ xyf₃. exact (graph_enriched_profunctor_enrichment_comp (pr22 xyf₁) (pr22 xyf₂) (pr22 xyf₃)). - intros xyf₁ xyf₂ h. exact (graph_enriched_profunctor_enrichment_from_arr (pr22 h)). - intros xyf₁ xyf₂ h. exact (graph_enriched_profunctor_enrichment_to_arr h). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Limits.BinProducts. Require Import UniMath.CategoryTheory.Limits.Equalizers. 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.ProfunctorTransformations. Require Import UniMath.CategoryTheory.EnrichedCats.Profunctors.ProfunctorSquares. Require Import UniMath.CategoryTheory.EnrichedCats.Profunctors.StandardProfunctors. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Monoidal.Structure.Symmetric. Require Import UniMath.CategoryTheory.Monoidal.Structure.Closed. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Total. Import MonoidalNotations.