proposition: Lemma plusNonnegativeReals_ltcompat : ∏ x y z t : NonnegativeReals, x < y -> z < t -> x + z < y + t.
proof: Proof. intros x y z t Hxy Hzt. eapply istrans_ltNonnegativeReals, plusNonnegativeReals_ltcompat_l. - now apply plusNonnegativeReals_ltcompat_r. - exact Hxy. 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