proposition: Lemma Dcuts_eq_is_eq : ∏ x y : Dcuts_set, Dcuts_eq x y -> x = y.
proof: Proof. intros x y Heq. apply subtypePath_prop. apply funextsec. intro r. apply hPropUnivalence. - exact (pr1 (Heq r)). - exact (pr2 (Heq r)). Qed.
imports: UniMath.MoreFoundations.Orders UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.Notations UniMath.RealNumbers.Sets UniMath.Algebra.ConstructiveStructures UniMath.OrderTheory.Lattice.Lattice UniMath.RealNumbers.Prelim UniMath.RealNumbers.NonnegativeRationals