\begin{frame} \small \begin{block}{Inference Rules}<+-> \begin{itemize} \item[\structure{$\mathtt{[r]}$}] \quad \makebox[25mm][l]{\alert<1>{reflexivity}} \makebox[45mm][c]{$\displaystyle \frac{\phantom{s \approx t}}{t \approx t}$} $\forall$ $t$ \medskip \item<2->[\structure{$\mathtt{[s]}$}] \quad \makebox[25mm][l]{\alert<2>{symmetry}} \makebox[45mm][c]{$\displaystyle \frac{s \approx t}{t \approx s}$} \medskip \item<3->[\structure{$\mathtt{[t]}$}] \quad \makebox[25mm][l]{\alert<3>{transitivity}} \makebox[45mm][c]{$\displaystyle \frac{s \approx t,\:t \approx u}{s \approx u}$} \smallskip \item<4->[\structure{$\mathtt{[a]}$}] \quad \makebox[25mm][l]{\alert<4>{application}} \makebox[45mm][c]{$\displaystyle \frac{\phantom{s \approx t}}{l\sigma \approx r\sigma}$} $\forall$ $l \approx r \in \EE$ $\forall$ $\sigma$ \medskip \item<5->[\structure{$\mathtt{[c]}$}] \quad \makebox[25mm][l]{\alert<5>{congruence}} \makebox[45mm][c]{$\displaystyle \frac{s_1 \approx t_1,\:\dots,\:s_n \approx t_n} {f(\seq{s}) \approx f(\seq{t})}$} $\forall$ $n$-ary $f$ \end{itemize} \end{block} \medskip \begin{definition}<6-> \smallskip \alert<6>{$\EE \vdash s \approx t$} \quad (\alert<6>{$s \approx_\EE t$})\quad if equation $s \approx t$ is derivable. \end{definition} \end{frame}