proposition: Lemma minusNonnegativeRationals_ltcompat_r': ∏ x y z : NonnegativeRationals, z - y < z - x -> x < y.
proof: Proof. intros x y z H. apply notge_ltNonnegativeRationals. intro H0 ; revert H. change (neg (z - y < z - x)). apply notlt_geNonnegativeRationals. now apply minusNonnegativeRationals_lecompat_r, H0. Qed.
imports: UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.PartA UniMath.MoreFoundations.Sets UniMath.MoreFoundations.Orders UniMath.RealNumbers.Sets UniMath.RealNumbers.Fields UniMath.Algebra.DivisionRig UniMath.OrderTheory.Lattice.Lattice UniMath.RealNumbers.Prelim