proposition: Lemma plusNonnegativeReals_lt_r: ∏ x y : NonnegativeReals, 0 < y <-> x < x + y.
proof: Proof. intros x y. pattern x at 1. rewrite <- (isrunit_zero_plusNonnegativeReals x). now apply plusNonnegativeReals_ltcompat_r. 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