inO_equiv_inO' {O : Subuniverse} (T : Type) {U : Type} `{In O T} (f : T <~> U) : In O U := inO_equiv_inO T f.
Require Import HoTT.Basics HoTT.Types. Require Import Equiv.BiInv Extensions HProp HFiber NullHomotopy Limits.Pullback. Require Import Homotopy.IdentitySystems. Require Import Colimits.Pushout.