\begin{tabbing} d{-}chooser($D$;${\it dec}$) \\[0ex]$\,\equiv$$_{\mbox{\scriptsize def}}$$\;\;$\=$\forall$$j$:Id, $b$:Id, $s$:d{-}m($D$; $j$).state.\+ \\[0ex](\=isl(${\it dec}$($j$,$b$,$s$))\+ \\[0ex]$\Leftrightarrow$ \\[0ex]$b$ in dom(d{-}m($D$; $j$).pre) \& ($\exists$$v$:d{-}m($D$; $j$).da(locl($b$)). d{-}m($D$; $j$).pre($b$,$s$,$v$))) \-\\[0ex]\& (isl(${\it dec}$($j$,$b$,$s$)) $\Rightarrow$ $b$ in dom(d{-}m($D$; $j$).pre) \& d{-}m($D$; $j$).pre($b$,$s$,outl(${\it dec}$($j$,$b$,$s$)))) \- \end{tabbing}