\begin{tabbing}
$\forall$\=$A$:Type, $B$, $C$:($A$$\rightarrow$Type), ${\it eq}$:EqDecider($A$), $f$:$a$:$A$ fp$\rightarrow$ $B$($a$), $g$:$a$:$A$ fp$\rightarrow$ $C$($a$), $x$:$A$,\+
\\[0ex]$P$:($a$:$A$$\rightarrow$$B$($a$)$\rightarrow\mathbb{P}$), $Q$:($a$:$A$$\rightarrow$$C$($a$)$\rightarrow\mathbb{P}$).
\-\\[0ex]($\forall$$x$:$A$. ($\uparrow$$x$ $\in$ dom($g$)) $\Rightarrow$ ($\uparrow$$x$ $\in$ dom($f$)) $\Rightarrow$ (($C$($x$) $\subseteq$r $B$($x$)) c$\wedge$ ($P$($x$,$g$($x$)) $\Rightarrow$ $Q$($x$,$g$($x$)))))
\\[0ex]$\Rightarrow$ \{$g$ $\subseteq$ $f$ $\Rightarrow$ ($z$ != $f$($x$) $\Rightarrow$ $P$($y$,$z$)) $\Rightarrow$ ($z$ != $g$($x$) $\Rightarrow$ $Q$($y$,$z$))\}
\end{tabbing}