\begin{frame} \small \begin{block}{Remark} \smallskip \begin{itemize} \item In non-left-linear TRS descendant of redex is not necessarily redex \[ \GREEN{\begin{array}[t]{@{}r@{~}c@{~}l} \m{a} & \to & \m{b} \\[.5ex] \m{f}(x,x) & \to & \m{b} \end{array} \qquad\qquad \m{\alert<1>{f}(a,a)} \to \m{\alert<1>{f}(b,a)}} \] \item<2-> In TRS with critical pairs descendant of redex is not necessarily redex \[ \GREEN{\begin{array}[t]{@{}r@{~}c@{~}l} \m{a} & \to & \m{b} \\[.5ex] \m{f}(\m{a}) & \to & \m{b} \end{array} \qquad\qquad \m{\alert<2>{f}(a)} \to \m{\alert<2>{f}(b)}} \] \vspace{-2ex} \end{itemize} \end{block} \end{frame}