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1) Prove using laws of propositional logic (NOT truth tables) that (P Q) (Q R) is a tautology. Hint: To prove using the laws of

1) Prove using laws of propositional logic (NOT truth tables) that (P Q) (Q R) is a tautology.

Hint: To prove using the laws of propositional logic, you must start with the entire compound proposition and apply the laws of propositional logic until you have simplified the statement to the literal True.

2) Prove using laws of propositional logic (NOT truth tables) that (P Q) (P Q) (P Q) is a contradiction.

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