Definition eq_to_is_subobject_classifier {C : category} {T : Terminal C} (Ω : subobject_classifier T) (Ω' : C) (t : T --> Ω') (p : (Ω : C) = Ω') (q : true Ω · idtoiso p = t) : is_subobject_classifier T Ω' t.
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.