fact: Definition morphism_in_full_subcat {C : category} {C' : hsubtype (ob C)} {a b : ob (full_sub_precategory C')} (f : pr1 a --> pr1 b) : precategory_morphisms a b := precategory_morphisms_in_subcat f tt.
imports: UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Subcategory.Core