proposition: Lemma plusNonnegativeRationals_lecompat_l : ∏ r q n : NonnegativeRationals, (q <= n) <-> (r + q <= r + n).
proof: Proof. intros r q n. rewrite ! (iscomm_plusNonnegativeRationals r). now apply plusNonnegativeRationals_lecompat_r. 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