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Specification nat-sgn
enrich
   nat
with
   

   
   
   functions  sgn : nat → nat;
   
   
   
   
   

   

   axioms sgn-0 :  ⊦ sgn(0) = 0;
          used for: s, ls;
          sgn-s :  ⊦ n ≠ 0 → sgn(n) = 1;
          used for: s, ls;

   

   
end enrich