fact: Definition precategory_morphisms_in_subcat {C : category} {C':sub_precategories C} {a b : ob C'}(f : pr1 a --> pr1 b) (p : sub_precategory_predicate_morphisms C' (pr1 a) (pr1 b) (f)) : precategory_morphisms (C:=C') a b := tpair _ f p.
imports: UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos