$\forall$$T$:Type, $R$:($T$$\rightarrow$$T$$\rightarrow\mathbb{P}$).
\\[0ex]($\forall$$x$, $y$:$T$. ($R$\^{}+($x$,$y$)) $\Rightarrow$ ($\neg$($R$\^{}+($y$,$x$))))
\\[0ex]$\Rightarrow$ ($\forall$$a$, $b$, $c$:$T$. ($R$($a$,$b$) \& $R$($a$,$c$)) $\Rightarrow$ ($b$ = $c$))
\\[0ex]$\Rightarrow$ ($\forall$$x$, $y$:$T$. ($R$($x$,$y$)) $\Leftarrow\!\Rightarrow$ ($R$\^{}+!($x$,$y$)))