fact: Definition equiv_o_to_O `{Funext} (O : ReflectiveSubuniverse) (P Q : Type) `{In O Q} : (O P -> Q) <~> (P -> Q) := Build_Equiv _ _ (fun g : O P -> Q => g o to O P) _.
imports: HoTT.Basics HoTT.Types Equiv.BiInv Extensions HProp HFiber NullHomotopy Limits.Pullback PathAny Colimits.Pushout