Use Theorem 2.1.1 to verify the logical equivalences in

Chapter 2, Problem 54E

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QUESTION:

Use Theorem 2.1.1 to verify the logical equivalences in 50-54. Supply a reason for each step.

\((p \wedge(\sim(\sim p \vee q))) \vee(p \wedge q) \equiv p\)

Text Transcription:

(p wedge(sim(sim p vee q))) vee(p wedge q) equiv p

Questions & Answers

QUESTION:

Use Theorem 2.1.1 to verify the logical equivalences in 50-54. Supply a reason for each step.

\((p \wedge(\sim(\sim p \vee q))) \vee(p \wedge q) \equiv p\)

Text Transcription:

(p wedge(sim(sim p vee q))) vee(p wedge q) equiv p

ANSWER:

Solution Step 1:We have to verify the following logical equivalence

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