equiv_sigma_pfibration_O_connected@{u v +} `{Univalence} (O : Subuniverse) {Y F : pType@{u}} `{IsConnected 0 Y} `{inO : In O F} : (Y ->* [Type_ O, (pointed_type F; inO)]) <~> { p : pSlice@{u v} Y & pfiber p.
Require Import HoTT.Basics HoTT.Types HFiber Limits.Pullback Pointed Truncations.