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Specification nat-bag
actualize
   bag-union

with
   nat

   
by morphism
   :bag → nat-bag; 
   :elem → nat; 
   ∅ → ∅; 
   ++ → ++; 
   count → count; 
   { } → { }; 
   -- → --; 
   ∪ → ∪; 
   \ → \; 
   # → #; 
   ∈ → ∈; 
   ⊆ → ⊆; 
   a → n2; 
   b → n3; 
   c → n4; 
   bag → bag; 
   bag0 → bag0; 
   bag1 → bag1; 
   bag2 → bag2
end actualize