proposition: Lemma maxNonnegativeReals_minus_plus: ∏ x y : NonnegativeReals, maxNonnegativeReals x y = (x - y) + y.
proof: Proof. intros x y. apply pathsinv0. now apply Dcuts_minus_plus_max. 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