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please use the laws of propositional logic to prove it not use the true table 8. Prove this proposition is a tautology: [( p q

please use the laws of propositional logic to prove it

not use the true table

8. Prove this proposition is a tautology: [( p q ) A ( a r )] ( p r ) 9. Prove this proposition is a tautology: (p 1 (pq)] 10. Prove this proposition is a tautology: [(p Vq) 1 ( p r) 4 (q )]

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please use the laws of propositional logic to prove it not use the true table 8. Prove this proposition is a tautology: [( p q

please use the laws of propositional logic to prove it not use the true table 8. Prove this proposition is a tautology: [( p q ) A ( a r )] ( p r ) 9. Prove this proposition is a tautology: (p 1 (pq)] 10. Prove this proposition is a tautology: [(p Vq) 1 ( p r) 4 (q )]

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please use the laws of propositional logic to prove it

not use the true table

8. Prove this proposition is a tautology: [( p q ) A ( a r )] ( p r ) 9. Prove this proposition is a tautology: (p 1 (pq)] 10. Prove this proposition is a tautology: [(p Vq) 1 ( p r) 4 (q )]