fact: Definition is_precategory_sub_precategory (C : category)(C':sub_precategories C) : is_precategory (sub_precategory_data C C').
imports: UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos