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Specification fidbag
actualize
   bag-union

with
   file-id

   
by morphism
   :bag → fidbag; 
   :elem → fid; 
   ∅ → ∅; 
   ++ → ++; 
   count → count; 
   { } → { }; 
   -- → --; 
   ∪ → ∪; 
   \ → \; 
   # → #; 
   ∈ → ∈; 
   ⊆ → ⊆; 
   bag → fidb; 
   bag0 → fidb0; 
   bag1 → fidb1; 
   bag2 → fidb2; 
   a → fid; 
   b → fid0; 
   c → fid1
end actualize