title: Generating counts from closed frequent itemsets
body: <p>I am reading note where it seems it is said: Given collection of all closed frequent itemsets and their support counts, the support count of any frequent itemset can be obtained. </p>
  
  <p>A frequent itemset is called closed if no larger itemset properly contains it and has
  the same support count.</p>
  
  <p>Trying to prove this but can not work it out.</p>
  
  <p>Here are some link to definitions regarding association rule mining:</p>
  
  <p><a href="http://en.wikipedia.org/wiki/Association_rule_mining" rel="nofollow">Association rule mining</a></p>