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Discrete Mathematics Find the mistake in the following proof that for all sets A and B ,( A ? B ) ? ( A ?
Discrete Mathematics
Find the mistake in the following proof that for all sets A and B,(A ? B) ? (A ? B) ? A.
Proof: Suppose A and B are sets, and suppose x ? (A?B)?(A?B). If x?A then x?A?B. Then, by definition of difference, x ? A and x ?/ B. Hence x?A, and so (A?B)?(A?B)?A by definition of subset.
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