fact: Definition hom_in_precat_from_hom_in_full_subcat (C : category) (C' : hsubtype (ob C)) (a b : ob (full_sub_precategory C')) : a --> b -> pr1 a --> pr1 b := @pr1 _ _ .
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