fact: Definition fully_faithful_inv_hom {C D : precategory_data} {F : functor C D} (FF : fully_faithful F) (a b : ob C) : F a --> F b -> a --> b := invweq (weq_from_fully_faithful FF a b).
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.MoreFoundations.Univalence UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.TransportMorphisms UniMath.CategoryTheory.Core.Univalence