fact: Definition z_iso_from_z_iso_in_Subobjectcategory {c : C} {S S' : Subobjectscategory c} (h : z_iso S S') : (z_iso (Subobject_dom S) (Subobject_dom S')).
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.slicecat UniMath.CategoryTheory.Monics UniMath.CategoryTheory.Subcategory.Core UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Limits.Pullbacks UniMath.CategoryTheory.opp_precat