Given below is an attempted proof of a result.Proof First, we show that A (A B) B. Let x

Chapter 4, Problem 4.85

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Given below is an attempted proof of a result.Proof First, we show that A (A B) B. Let x A. Since A B = , it follows that x / B.Therefore, x A B and x / B; so x (A B) B. Thus A (A B) B.Next, we show that (A B) B A. Let x (A B) B. Then x A B and x / B. From this, itfollows that x A. Hence (A B) B A.(a) What result is being proved above?(b) What change (or changes) in this proof would make it better (from your point of view)?

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