proposition: Lemma nat_to_NonnegativeRationals_Sn : ∏ n : nat, nat_to_NonnegativeRationals (S n) = nat_to_NonnegativeRationals n + 1.
proof: Proof. intro n. apply subtypePath_prop. simpl. rewrite nattohzandS, hztohqandplus. apply hqpluscomm. 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