Truth table for $$$\left(p \rightarrow q\right) \leftrightarrow \left(\neg q \rightarrow \neg p\right)$$$

The calculator will generate the truth table for the given logic formula $$$\left(p \rightarrow q\right) \leftrightarrow \left(\neg q \rightarrow \neg p\right)$$$, with steps shown.

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Find the truth table for $$$\left(p \rightarrow q\right) \leftrightarrow \left(\neg q \rightarrow \neg p\right)$$$.

Answer

$$$p$$$$$$q$$$$$$p \rightarrow q$$$$$$\neg q$$$$$$\neg p$$$$$$\neg q \rightarrow \neg p$$$$$$\left(p \rightarrow q\right) \leftrightarrow \left(\neg q \rightarrow \neg p\right)$$$
TrueTrueTrueFalseFalseTrueTrue
TrueFalseFalseTrueFalseFalseTrue
FalseTrueTrueFalseTrueTrueTrue
FalseFalseTrueTrueTrueTrueTrue