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