Specification natlist

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enrich
   natlista
with
   

   
   
   functions  Σ . : natlist → nat;
              Π . : natlist → nat;
   
   
   
   
   

   

   axioms sum-empty :  ⊦ Σ [] = 0;
          used for: s, ls;
          sum-rec :  ⊦ Σ(n ' + nats) = n + Σ nats;
          used for: s, ls;
          prod-empty :  ⊦ Π [] = 1;
          used for: s, ls;
          prod-rec :  ⊦ Π(n ' + nats) = n * Π nats;
          used for: s, ls;

   

   
end enrich