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Tautologies Prove that each of the following propositional formulae are tautologies by showing they are equivalent toT (a) ((p !q)^(q !r)) !(p !r)R i Q y O k t x Y q N O w W ts H v aggregate DR xO iD U R QO Q m u O vq UQ t OR U t ua yxOO R l Q y pY i cycle Dw O w W XNW bo xplot D dataAirP assengers AP AirP assengers la y out plotaggregateAP bo xplotAP cycleAP C U q y O m Q H p Y L QO wt v OO Q o t x L q mQ w u y O W tx O v N R m U D online CQ Y y tQ yxOO p F Time aggregate(AP) 1950 1952Are the statements \((P \vee Q) \imp R\) and \((P \imp R) \vee (Q \imp R)\) logically equivalent? 1 Prq exteriors colorado