\begin{tabbing}
1. $A$ : Type
\\[0ex]2. $P$ : $A$$\rightarrow\mathbb{N}\rightarrow\mathbb{B}$
\\[0ex]3. $d$ : $\forall$$x$:$A$. Dec($\exists$$n$:$\mathbb{N}$. ($\uparrow$($P$($x$,$n$))))
\\[0ex]4. $x$ : $A$
\\[0ex]$\vdash$  \=($\uparrow$isl((TERMOF\{p{-}mu{-}decider:ObjectId, 1:l, i:l\}($A$,$P$,$d$,$x$)).1))\+
\\[0ex]$\Rightarrow$ \=\{($\uparrow$($P$($x$,outl((TERMOF\{p{-}mu{-}decider:ObjectId, 1:l, i:l\}($A$,$P$,$d$,$x$)).1))))\+
\\[0ex]\& (\=$\forall$$i$:\{0..outl((TERMOF\{p{-}mu{-}decider:ObjectId, 1:l, i:l\}($A$,$P$,$d$,$x$)).1)$^{-}$\}.\+
\\[0ex]$\neg$($\uparrow$($P$($x$,$i$))))\}
\-\-\-
\end{tabbing}