proposition: Lemma isrdistr_max_multNonnegativeReals : ∏ x y z : NonnegativeReals, maxNonnegativeReals x y * z = maxNonnegativeReals (x * z) (y * z).
proof: Proof. intros x y z. rewrite !(iscomm_multNonnegativeReals _ z). now apply isldistr_max_multNonnegativeReals. 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