fact: Definition sub_precategory_predicate_objects {C : category} (C': sub_precategories C): hsubtype (ob C) := pr1 (pr1 C').
imports: UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos