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  • The statement <img alt="\left ( p\rightarrow \left ( q\rightarrow p \right ) \right )\rightarrow \left ( p\rightarrow \left ( p\vee q \right ) \right )" src="http://entrancecorner.codecogs.com/gif.latex?%5Cleft%20%28%20p%5Crightarrow%20%5Cleft%20%

The statement \left ( p\rightarrow \left ( q\rightarrow p \right ) \right )\rightarrow \left ( p\rightarrow \left ( p\vee q \right ) \right ) is
Option: 1 a contadiction
Option: 2 is equivalent to \left ( p\vee q \right ) \wedge \left ( \sim p \right )
Option: 3 a tautology
Option: 4 is equivalent to \left ( p\wedge q \right ) \vee \left ( \sim q \right )

Answers (1)

best_answer

(\mathrm{p} \rightarrow(\mathrm{q} \rightarrow \mathrm{P})) \rightarrow (\mathrm{p} \rightarrow(\mathrm{p} \vee \mathrm{q}))

The statement is a tautology

Posted by

himanshu.meshram

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