proposition: Lemma nat_to_NonnegativeReals_O : nat_to_NonnegativeReals O = 0.
proof: Proof. unfold nat_to_NonnegativeReals. rewrite nat_to_NonnegativeRationals_O. 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