module Stdlib.Data.Nat;

import Stdlib.Data.Nat.Base open public;
import Stdlib.Data.String.Base open;

import Stdlib.Trait.Eq open public;
import Stdlib.Trait.Ord open public;
import Stdlib.Trait.Show open public;

import Stdlib.Data.Nat.Ord as Nat;

--- Converts a ;Nat; into a ;String;.
builtin nat-to-string
axiom natToString : Nat -> String;

--- Partial function that converts a ;String; into a ;Nat;.
builtin string-to-nat
axiom stringToNat : String -> Nat;

instance
eqNatI : Eq Nat := mkEq (Nat.==);

instance
ordNatI : Ord Nat := mkOrd Nat.compare;

instance
showNatI : Show Nat := mkShow natToString;