Proposition isaset_ob_quantale_enrichment_univalent_cat {C : univalent_category} (E : enrichment C V) : isaset C. Proof. intros x y. use (isofhlevelweqb 1 (make_weq _ (univalent_category_is_univalent C x y))). use isaproptotal2. - intro. apply isaprop_is_z_isomorphism. - intros f g Hf Hg. apply (isaprop_mor_quantale_enrichment_univalent_cat E). Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Core.PosetCat. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Monoidal.Structure.Symmetric. Require Import UniMath.CategoryTheory.Monoidal.Structure.Closed. 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.Examples.SelfEnriched. Require Import UniMath.CategoryTheory.EnrichedCats.BenabouCosmos. Import MonoidalNotations.