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Prove the following. (a) For any sets A and B, we have AB=BAB. (b) For any sets A,B, and C, we have ABC(ACB)(ABC) (c) Define
Prove the following. (a) For any sets A and B, we have AB=BAB. (b) For any sets A,B, and C, we have ABC(A\CB)(A\BC) (c) Define AB=(A\B)(B\A). Prove that (AB)C=A(BC). (Hint: use the laws of sets akin to propositional logic)
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