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Specification set_of_nat
actualize
   set-union

with
   nat
by morphism
   :elem → nat; 
   :set → natset; 
   ∅ → ∅; 
   ++ → ++; 
   # → #; 
   } → }; 
   ∪ → ∪; 
   ∩ → ∩; 
   \ → \; 
   -- → --; 
   ∈ → ∈; 
   ⊆ → ⊆; 
   a → n2; 
   b → n3; 
   c → n4; 
   s → S; 
   s0 → S0; 
   s1 → S1; 
   s2 → S2
end actualize