proposition: Lemma Dcuts_mult_ltcompat_r' : ∏ x y z: Dcuts, (Dcuts_mult x y < Dcuts_mult x z) -> (y < z).
proof: Proof. intros x y z. rewrite ! (iscomm_Dcuts_mult x). now apply Dcuts_mult_ltcompat_l'. 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