\begin{frame}
\frametitle{Exercise: For All \& Implication}
\begin{goal}{}
\begin{salign}
\forall\,X\,(\varphi_1 \Rightarrow \varphi_2)
\;\;\equiv\;\; &\neg\exists\,X\,(\varphi_1 \wedge \neg\varphi_2)
\end{salign}
\end{goal}
\medskip
The formula
\logicquerya
\pause
is \emph{logically equivalent to}
\logicqueryb
\end{frame}