fact: Definition iso_in_sub_from_iso (a b : ob (full_sub_category C C')) (f : z_iso (pr1 a) (pr1 b)) : z_iso a b := tpair _ _ (iso_in_precat_is_iso_in_subcat a b f).
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