proposition: Lemma plusNonnegativeRationals_eqcompat_l: ∏ k x y : NonnegativeRationals, (k + x = k + y) -> (x = y).
proof: Proof. intros k x y H. apply isantisymm_leNonnegativeRationals ; apply_pr2 (plusNonnegativeRationals_lecompat_l k) ; rewrite H ; apply isrefl_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