{O : Subuniverse} (T : Type) {U : Type} `{T_inO : In O T} (f : T -> U) `{IsEquiv T U f} : In O U := @inO_equiv_inO_internal O T U T_inO 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.