extendable_to_O'@{i j k | j <= i, k <= i} (O : Subuniverse@{i}) (T : Type@{j}) `{Reflects O T} {Q : Type@{k}} {Q_inO : In O Q} : ooExtendableAlong (to O T) (fun _ => Q). Proof. apply lift_ooextendablealong. rapply extendable_to_O. Defined.
Require Import HoTT.Basics HoTT.Types. Require Import Equiv.BiInv Extensions HProp HFiber NullHomotopy Limits.Pullback. Require Import Homotopy.IdentitySystems. Require Import Colimits.Pushout.