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2023-05-09 21:23:09 -07:00
parent 3b197b0759
commit 90fd1e6ee1
4 changed files with 101 additions and 56 deletions

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@ -73,13 +73,23 @@ Evaluate the following.
\begin{itemize}
\item $(T \land F) \lor T$
\item $(\lnot (F \lor \lnot T) ) \rightarrow T$
\item $A \rightarrow T$ for any $A$
\item $(\lnot (A \rightarrow B)) \rightarrow A$ for any $A,B$
\item $(F \rightarrow T) \rightarrow (\lnot F \lor \lnot T)$
\end{itemize}
\vfill
\pagebreak
\problem{}
Evaluate the following.
\begin{itemize}
\item $A \rightarrow T$ for any $A$
\item $(\lnot (A \rightarrow B)) \rightarrow A$ for any $A, B$
\item $(A \rightarrow B) \rightarrow (\lnot B \rightarrow \lnot A)$ for any $A, B$
\end{itemize}
\vfill
\problem{}
Show that $\lnot (A \rightarrow \lnot B)$ is equivalent to $A \land B$. \par
\hint{Use a truth table}