proposition: Lemma iscomm_NQmax : ∏ x y, NQmax x y = NQmax y x.
proof: Proof. intros x y. apply NQmax_case_strong ; intro Hle ; apply NQmax_case_strong ; intro Hle'. - now apply isantisymm_leNonnegativeRationals. - reflexivity. - reflexivity. - now apply isantisymm_leNonnegativeRationals. Qed.
imports: UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.PartA UniMath.MoreFoundations.Sets UniMath.MoreFoundations.Orders UniMath.RealNumbers.Sets UniMath.RealNumbers.Fields UniMath.Algebra.DivisionRig UniMath.OrderTheory.Lattice.Lattice UniMath.RealNumbers.Prelim