proposition: Lemma Dcuts_mult_lecompat_l' : ∏ x y z: Dcuts, (y <= z) -> (Dcuts_mult y x <= Dcuts_mult z x).
proof: Proof. intros x y z. intros H ; apply Dcuts_nlt_ge ; intro H0 ; apply (pr2 (Dcuts_nlt_ge _ _) H). now apply (Dcuts_mult_ltcompat_l' x). 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