fact: Definition isequiv_toSepO_inO `{Funext} (O : ReflectiveSubuniverse) {X : Type} `{Reflects (Sep O) X} (P : O_reflector (Sep O) X -> Type) `{forall x, In O (P x)} : IsEquiv (fun g : (forall y, P y) => g o to (Sep O) X) := isequiv_ooextendable _ _ (extendable_to_OO P).
imports: HoTT.Basics HoTT.Types HoTT.Cubical.DPath HFiber Extensions Factorization Limits.Pullback Modality Accessible Descent Truncations.Core Homotopy.Suspension