This one must be easy, but I missed the class and we don't have a textbook and I'm just not sure how to approach it. Here goes:

Prove that for all sets A: $\displaystyle A \cap \emptyset = \emptyset$

We've been proving these by converting them into a sort of logical form (i.e. A intersects B turns into (x in the domain of A ^ x in the domain of B). Any suggestions?