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Prove that if $A_1, A_2, \ldots , A_n$ and $B$ are sets, then $$(A_1 − B) \cap (A_2 − B) \cap \cdots \cap (A_n − B) = (A_1 \cap A_2 \cap \cdots \cap A_n) − B.$$

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    Where did this problem come from? What have you tried? It matches [this Yahoo! Answers question](http://answers.yahoo.com/question/index?qid=20111116154729AAZU0xo) word for word.2012-10-28

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