\begin{tabbing} $\forall$\=${\it es}$:ES, ${\it Cmd}$:Type, ${\it Sys}$:AbsInterface(chain\_sys(${\it Cmd}$)), ${\it Config}$:AbsInterface(chain\_config()),\+ \\[0ex]$u$:(\{$e$:E(${\it Sys}$)$\mid$ $\uparrow$csupdate?(${\it Sys}$($e$))\} $\rightarrow$\{$e$:E$\mid$ ($\uparrow$($e$ $\in_{b}$ ${\it Sys}$)) $\vee$ ($\uparrow$($e$ $\in_{b}$ ${\it Config}$))\} ). \-\\[0ex]update{-}antecedent\{i:l\}(${\it es}$;${\it Cmd}$;${\it Sys}$;${\it Config}$;$u$) $\in$ $\mathbb{P}$ \end{tabbing}