In Exercises 1116, prove that each wff is a valid

Chapter 1, Problem 11

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QUESTION:

In Exercises 11-16, prove that each wff is a valid argument.

(\(\forall\)x) P (x) \(\rightarrow\) (\(\forall\)x) [P (x) \(\vee\) Q (x) ]

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QUESTION:

In Exercises 11-16, prove that each wff is a valid argument.

(\(\forall\)x) P (x) \(\rightarrow\) (\(\forall\)x) [P (x) \(\vee\) Q (x) ]

ANSWER:

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The validity of any well-written formulae (wff) can be verified by some existing rules. Here we have to prove that, if the property P is true for every X, then the property \(P \vee Q\) is true for every X. Theoretically, it is true as the property P is true for all X.

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