Type_@{i j} (O : Subuniverse@{i}) : Type@{j} := @sig@{j i} Type@{i} (fun (T : Type@{i}) => In O T).
Require Import HoTT.Basics HoTT.Types. Require Import Equiv.BiInv Extensions HProp HFiber NullHomotopy Limits.Pullback. Require Import Homotopy.IdentitySystems. Require Import Colimits.Pushout.