fact: Definition funext_type_from_trunc : Funext_type := WeakFunext_implies_Funext (NaiveFunext_implies_WeakFunext (fun A P f g p => let h := fun (x:interval) (a:A) => interval_rec _ (f a) (g a) (p a) x in ap h seg)).
imports: HoTT.Basics HoTT.Truncations HoTT.Types.Bool Metatheory.Core Metatheory.FunextVarieties