\begin{frame} \frametitle{Examples of Modal (Non-)Equivalence} \begin{exampleblock}{} Are the following equivalences valid? \begin{talign} \mpause[0]{ \neg \some \phi &\;\;\equiv\;\; \some \neg \phi \quad\mbox{\DARKRED{?}} } \mpause{\text{ No}} \\ \mpause{ \some( \phi \wedge\psi) &\;\;\equiv\;\; \some \phi \wedge \some \psi \quad\mbox{\DARKRED{?}} } \mpause{\text{ No}} \\ \mpause{ \some( \phi \vee\psi) &\;\;\equiv\;\; \some \phi \vee \some\psi \quad\mbox{\DARKRED{?}} } \mpause{\text{ Yes}} \end{talign} \end{exampleblock} \end{frame}