Question: please solve all these Apply Truth Table to proof the following Laws: 1. Equivalences . - (- P) = P (PV Q) = (-P=Q) 2.

please solve all these

Apply Truth Table to proof the following Laws: 1. Equivalences . - (- P) = P (PV Q) = (-P=Q) 2. The contra positive law (P = Q) = (-Q=-P) 3. De Morgan's law -(P VQ) = (-PA-Q) and -(PAQ) = (-P V-Q) 4. The commutative laws . (PAQ) = (QAP) and (P V Q) = (Q VP) 5. Associative law ((PAQ) A R) = (PA (QAR)), ((PVQ) VR) = (PV (DVR)) Distributive law . PV (QAR) = (P VQ) A (PVR), PA (QV R) = (PAQ) V (PAR) Apply the truth table to each of these propositional logics and submit on

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