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