\begin{frame}
\frametitle{Implication of Functional Dependencies}
\vspace{-.5ex}
\begin{goal}{}
If $A \to B$ and $B \to C$ hold, then $A \to C$ is holds automatically.
\end{goal}
\vspace{-.5ex}
\begin{exampleblock}{}
\begin{center}
\tableCourses
\vspace{-0ex}
\end{center}
Note that $\sql{courseNr} \to \sql{phone}$ is a consequence of
\begin{talign}
\sql{courseNr} &\to \sql{instructor} \\
\sql{instructor} &\to \sql{phone}
\end{talign}
\end{exampleblock}
\pause\medskip
\begin{goal}{}
FDs of the form $A \to A$ always hold.
\end{goal}
\begin{exampleblock}{}
E.g. $\sql{phone} \to \sql{phone}$ holds, but is not interesting
\end{exampleblock}
\end{frame}