Question: 4. (15 marks) Using only logical equivalences in Theorem 2.1.1 of the textbook (and, in partic- ular, NOT using a truth table), prove that (a)

4. (15 marks) Using only logical equivalences in Theorem 2.1.1 of

4. (15 marks) Using only logical equivalences in Theorem 2.1.1 of the textbook (and, in partic- ular, NOT using a truth table), prove that (a) (z~ y) z is logically equivalent to (z ^ y) V (~ x^ ~ y) V z. (b) o y z. (re~ y) n(z y) is logically equivalent t (c) x^~ y ~z is logically equivalent to zAz y

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