Proposition graph_enriched_profunctor_enrichment_from_arr_pr2 {x₁ x₂ : C₁} {y₁ y₂ : C₂} {f : I_{V} --> P y₁ x₁} {g : I_{V} --> P y₂ x₂} {hx : x₁ --> x₂} {hy : y₁ --> y₂} (p : g · lmap_e_arr P _ hy = f · rmap_e_arr P hx _) : graph_enriched_profunctor_enrichment_from_arr p · graph_enriched_profunctor_enrichment_hom_pr2 _ _ = enriched_from_arr E₂ hy. Proof. apply graph_enriched_profunctor_enrichment_hom_mor_pr2. Qed.
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.