\begin{tabbing} $\vdash$ \=$\forall$$T$:Type, $R$:($T$$\rightarrow$$T$$\rightarrow\mathbb{P}$).\+ \\[0ex]($\forall$$x$, $y$:$T$. Dec($R$($x$,$y$))) \\[0ex]$\Rightarrow$ Linorder($T$;$x$,$y$.$R$($x$,$y$)) \\[0ex]$\Rightarrow$ ($\forall$$a$, $b$:$T$. ($\neg$strict\_part($x$,$y$.$R$($x$,$y$);$a$;$b$)) $\Leftarrow\!\Rightarrow$ $R$($b$,$a$)) \- \end{tabbing}