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Two nested NOT EXISTS can be used to express a SELECT statement that embodies the notion of "for all (logical ∀) the values in a column, there exists (logical ∃)."

For example, the query to select a TRUE value if the library has at least one book for all the publishers can be expressed as follows:

   SELECT 'TRUE' 
   WHERE NOT EXISTS
    (SELECT * 
     FROM publisher pb 
     WHERE NOT EXISTS
      (SELECT * 
       FROM book bk 
       WHERE pb.PubNum=bk.PubNum);