please solve it like table

. A Quick Recap: Propositional Logic (Equivalences) Symbols (e.g., letters, words) are used to represent facts about the world: e.g. "P" represents the fact "Ali likes chocolate" "Q" represents the fact "Ali has chocolate" These are called atomic propositions Connectives: -,, V, >> [not, AND, OR, implies] Propositional symbols, e.g., P, Q, R, ... True, False Statements or sentences in the language are constructed from atomic propositions and logical connectives. Look at this Truth Table A B - . A VB AB Qrue True False True True True True False False False True False False False True False False True False True True False True True Apply Truth Table to proof the following Laws: 1. Equivalences - (P) =P . (PV Q) = (-P=Q) 2. The contra positive law . ( PQ) = (-Q=-P) 3. De Morgan's law -(PVQ) = (-PA-Q) and -(PAQ) = (-PV-Q) 4. The commutative laws (PAQ) = (QAP) and (PVQ) = (QVP) 5. Associative law ((PAQ) A R) = (PA(QAR)), ((P VQ) V R) = (PV (QVR)) . Distributive law . PV (QAR) = (PVQ) A (PVR), PA (QVR) = (PAQ) V (PAR) Apply the truth table to each of these propositional logics and submit on blackboard