Provide the steps and reasons, as in Exercise 18, to establish the following logical equivalences.
a) p ˅ [p ˅ (p ˅ q)] ⇔ p
b) p ˅ q ˅ (¬p ˄ ¬q ˄ r) ⇔ p ˅ q ˅ r
c) [(¬p ˅ ¬q) → (p ˄ q ˄ r)] ⇔ p ˄ q
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