Definition z_iso_subobject_classifier {C : category} {T : Terminal C} (Ω Ω' : subobject_classifier T) : z_iso Ω Ω'. Proof. use make_z_iso. - exact (mor_subobject_classifier Ω Ω'). - exact (mor_subobject_classifier Ω' Ω). - exact (z_iso_subobject_classifier_inverse Ω Ω'). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Limits.Terminal. Require Import UniMath.CategoryTheory.Limits.Pullbacks. Require Import UniMath.CategoryTheory.Monics. Require Import UniMath.CategoryTheory.SubobjectClassifier.SubobjectClassifier.