(a) Prove using propositional logic laws, that the inference below is valid. p^ q q^r (b)...

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(a) Prove using propositional logic laws, that the inference below is valid. p^ q q^r (b) Using inference rules, show that we can infer q ^r from the premises p^ q and p → r. P→ r (a) Prove using propositional logic laws, that the inference below is valid. p^ q q^r (b) Using inference rules, show that we can infer q ^r from the premises p^ q and p → r. P→ r