fact: Definition functor_id_enrichment_fully_faithful {V : monoidal_cat} {C : category} (E : enrichment C V) : fully_faithful_enriched_functor (functor_id_enrichment E).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.EnrichedCats.Enrichment UniMath.CategoryTheory.Limits.Terminal