For Exercises 3442, use propositional logic to prove the arguments valid; you may use

Chapter 1, Problem 42

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QUESTION:

For Exercises 34–42, use propositional logic to prove the arguments valid; you may use any of the rules in Table 1.14 or any previously proved exercise.

\((P \vee (Q \wedge R)) \wedge (R^{\prime} \vee S) \wedge (S \rightarrow T{\prime}) \rightarrow (T \rightarrow P)\)

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QUESTION:

For Exercises 34–42, use propositional logic to prove the arguments valid; you may use any of the rules in Table 1.14 or any previously proved exercise.

\((P \vee (Q \wedge R)) \wedge (R^{\prime} \vee S) \wedge (S \rightarrow T{\prime}) \rightarrow (T \rightarrow P)\)

ANSWER:

Step 1 of 2

Using the deduction method, we can add  as a hypothesis, then the argument will result in

.

Given hypothesis are:

        

        

        

        

And the conclusion is .

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