fact: Definition Id_in_sub_to_iso (a b : ob (full_sub_category C C')): a = b -> z_iso (pr1 a) (pr1 b) := funcomp (@idtoiso _ a b) (iso_from_iso_in_sub a b).
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