fact: Record Subuniverse@{i} := { In_internal : Type@{i} -> Type@{i} ; hprop_inO_internal : Funext -> forall (T : Type@{i}), IsHProp (In_internal T) ; inO_equiv_inO_internal : forall (T U : Type@{i}) (T_inO : In_internal T) (f : T -> U) {feq : IsEquiv f}, In_internal U ; }.
imports: HoTT.Basics HoTT.Types Equiv.BiInv Extensions HProp HFiber NullHomotopy Limits.Pullback PathAny Colimits.Pushout