$\forall$$T$:Type, $r$:($T$$\rightarrow$$T$$\rightarrow\mathbb{P}$). dec\_binrel($T$;$x$,$y$:$T$. $x$ = $y$ $\in$ $T$) $\Rightarrow$ anti\_sym($T$;$r$) $\Rightarrow$ ($r$ $\equiv>$\{$T$\} (($r$$\backslash$)$^{\circ}$))