Specification nat-sgn

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enrich
   nat
with
   functions 
       sgn : nat → nat;
   
   variables 
       m : nat;
       n : nat;
   
   
   axioms 
      sgn-0: sgn(0) = 0;
      used for: s, ls;
      
      sgn-s: n ≠ 0 → sgn(n) = 1;
      used for: s, ls;
   
   
end enrich