Question: Problem 1. (20 points) Prove the following identities using only the laws of propositional logic, the rules of inference for quantified (and unquantified) propositions and

Problem 1. (20 points) Prove the following identities using only the

Problem 1. (20 points) Prove the following identities using only the laws of propositional logic, the rules of inference for quantified (and unquantified) propositions and set identities. 1. A(AB)=AB 2. (AB)C=(AC)(BC) 3. A(BC)=(AB)(CA) 4. (AB)C(AC) 5. (BA)(CA)(BC)A

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