proposition: Lemma nat_to_NonnegativeReals_Sn : ∏ n : nat, nat_to_NonnegativeReals (S n) = nat_to_NonnegativeReals n + 1.
proof: Proof. intros n. unfold nat_to_NonnegativeReals. rewrite nat_to_NonnegativeRationals_Sn. rewrite NonnegativeRationals_to_NonnegativeReals_plus. 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