proposition: Lemma Dcuts_min_carac_l : ∏ x y : Dcuts, x <= y -> Dcuts_min x y = x.
proof: Proof. intros x y Hxy. rewrite iscomm_Dcuts_min. now apply Dcuts_min_carac_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