\begin{tabbing} $\vdash$ \=$\forall$$S$,$T$:Type, $P$,$Q$:($S$$\rightarrow\mathbb{P}$).\+ \\[0ex]($S$ = $T$) $\Rightarrow$ ($\forall$$x$:$S$. $P$($x$) $\Leftarrow\!\Rightarrow$ $Q$($x$)) $\Rightarrow$ (($\exists$$x$:$S$. $P$($x$)) $\Leftarrow\!\Rightarrow$ ($\exists$$y$:$T$. $Q$($y$))) \- \end{tabbing}