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)).
Require Import HoTT.Basics. Require Import HIT.Interval. Require Import Metatheory.Core Metatheory.FunextVarieties.