proposition: Lemma isrdistr_max_plusNonnegativeReals : ∏ x y z : NonnegativeReals, maxNonnegativeReals x y + z = maxNonnegativeReals (x + z) (y + z).
proof: Proof. intros x y z. rewrite !(iscomm_plusNonnegativeReals _ z). now apply isldistr_max_plusNonnegativeReals. 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