fact: Definition equiv_path_subuniverse `{Univalence} (O1 O2 : Subuniverse) : (O1 <=> O2) <~> (O1 = O2).
imports: HoTT.Basics HoTT.Types Equiv.BiInv Extensions HProp HFiber NullHomotopy Limits.Pullback PathAny Colimits.Pushout