\begin{tabbing} $\forall$\=$D$:Dsys, ${\it sched}$:(Id$\rightarrow$($\mathbb{N}\rightarrow$(IdLnk+Id)+Unit)), $v$:($i$:Id$\rightarrow$M($i$).state),\+ \\[0ex]${\it dec}$:($i$,$a$:Id$\rightarrow$M($i$).state$\rightarrow$(M($i$).da(locl($a$))+Unit)). \-\\[0ex]d{-}chooser($D$;${\it dec}$) \\[0ex]$\Rightarrow$ Feasible($D$) \\[0ex]$\Rightarrow$ (\=$\forall$$i$:Id, $t$:$\mathbb{N}$.\+ \\[0ex]$\exists$$s$:M($i$).state. \\[0ex]$s$ $=$ if $t$=$_{2}$0$\rightarrow$ $\lambda$$x$.M($i$).init($x$)?$v$($i$,$x$) else 1of(CV(d{-}comp($D$;$v$;${\it sched}$;${\it dec}$))($t$$-$1,$i$)) fi \\[0ex]\& \=CV(d{-}comp($D$;$v$;${\it sched}$;${\it dec}$))($t$,$i$) $=$ stutter{-}state($s$) $\in$ d{-}world{-}state($D$;$i$)\+ \\[0ex]$\vee$ (\=$\exists$$k$:Knd, ${\it val}$:d{-}decl($D$;$i$)($k$).\+ \\[0ex]CV(d{-}comp($D$;$v$;${\it sched}$;${\it dec}$))($t$,$i$) \\[0ex]$=$ \\[0ex]next{-}world{-}state($D$;$i$;$s$;$k$;${\it val}$) \\[0ex]$\in$ d{-}world{-}state($D$;$i$) \\[0ex]\& isrcv($k$) $\vee$ islocal($k$) \& act($k$) in dom(M($i$).pre) \& M($i$).pre(act($k$),$s$,${\it val}$))) \-\-\- \end{tabbing}