proposition: Lemma iscomm_minusNonnegativeReals : ∏ x y z : NonnegativeReals, x - y - z = x - z - y.
proof: Proof. intros x y z. rewrite !isassoc_minusNonnegativeReals. apply maponpaths. now apply iscomm_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