>) Recall that the symmetric difference of two sets X and Y, denoted XAY = (X-Y)U(Y-X), is the set of all elements that are in X or Y, but not both. Give a rigorous proof that AA (A - B) = BA(B - A) for all sets A and B. State all of your assumptions clearly. It must be evident how each of your steps comes from a previous step, assumption, or definition. You will be graded based on the correctness and readability of your proof. You can use any method to prove.

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