proposition: Proposition is_fully_faithful_enriched_rezk_completion_map : fully_faithful_enriched_functor enriched_rezk_completion_map_enrichment.
proof: Proof. exact (fully_faithful_enriched_factorization_precomp (enriched_yoneda_enrichment E EqV PV PV') enriched_rezk_completion_map_enrichment _ (image_factorization_enriched_commutes_inv _) (fully_faithful_enriched_yoneda _ _ _ _) image_incl_enrichment_fully_faithful). Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.OppositeCategory.Core UniMath.CategoryTheory.Subcategory.Core UniMath.CategoryTheory.Subcategory.Full UniMath.CategoryTheory.EnrichedCats.Enrichment UniMath.CategoryTheory.EnrichedCats.EnrichmentFunctor UniMath.CategoryTheory.EnrichedCats.EnrichmentTransformation UniMath.CategoryTheory.EnrichedCats.FullyFaithful UniMath.CategoryTheory.EnrichedCats.Examples.OppositeEnriched UniMath.CategoryTheory.EnrichedCats.Examples.FunctorCategory UniMath.CategoryTheory.EnrichedCats.Examples.SelfEnriched UniMath.CategoryTheory.EnrichedCats.Examples.ImageEnriched UniMath.CategoryTheory.EnrichedCats.Examples.Yoneda UniMath.CategoryTheory.EnrichedCats.YonedaLemma UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.Structure.Symmetric UniMath.CategoryTheory.Monoidal.Structure.Closed UniMath.CategoryTheory.Limits.Equalizers UniMath.CategoryTheory.Limits.Products