Question: Problem 2. (15 points) Define the set operation as: AB=(AB)(BA). Prove the following statements using only the laws of propositional logic, rules of inference and

Problem 2. (15 points) Define the set operation as: AB=(AB)(BA). Prove

Problem 2. (15 points) Define the set operation as: AB=(AB)(BA). Prove the following statements using only the laws of propositional logic, rules of inference and set identities. 1. is associative: (AB)C=A(BC) 2. Set intersection distributes over :(AB)C=(AC)(BC) 3. Set difference distributes over :(AB)C=(AC)(BC)

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