The statement ( p → ( q → p ) ) → ( p → ( p v q ) ) is :

Question:

The statement $(\mathrm{p} \rightarrow(\mathrm{q} \rightarrow \mathrm{p})) \rightarrow(\mathrm{p} \rightarrow(\mathrm{p} \vee \mathrm{q}))$ is:

  1. a contradiction

  2. equivalent to $(p \wedge q) \vee(\sim q)$

  3. a tautology

  4. equivalent to $(p \vee q) \wedge(\sim p)$

Correct Option: , 3

Solution:

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