proposition: Lemma NonnegativeRationals_to_NonnegativeReals_nattorig : ∏ n : nat, NonnegativeRationals_to_NonnegativeReals (nattorig n) = nattorig n.
proof: Proof. induction n as [|n IHn]. - reflexivity. - rewrite !nattorigS. rewrite NonnegativeRationals_to_NonnegativeReals_plus, IHn. reflexivity. 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