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2. Prove the following basic set properties, where A and B are arbitrary sets: (a) (A) A (that is, the complement of the complement of

2. Prove the following basic set properties, where A and B are arbitrary sets: (a) (A) A (that is, the complement of the complement of a set is the set itself) (b) A\A= (c) AnBC A (d) A AUB

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