\begin{tabbing} $\forall$${\it es}$:ES, $x$, ${\it free}$:Id, $n$:$\mathbb{N}$, $e$:E. \\[0ex]@loc($e$)($x$:Id) \\[0ex]$\Rightarrow$ ($\neg$(($x$ after $e$) = ($x$ when $e$) $\in$ Id)) \\[0ex]$\Rightarrow$ (0 $<$ $n$) \\[0ex]$\Rightarrow$ ($n$ $\leq$ round($e$)) \\[0ex]$\Rightarrow$ ($\exists$\=${\it e'}$:E\+ \\[0ex](${\it e'}$ $\leq$loc $e$ \& rank(${\it e'}$) = $<$$n$, 0$>$ $\in$ (:$\mathbb{N}$ $\times$ $\mathbb{N}$) \& ($\neg$(($x$ after ${\it e'}$) = ($x$ when ${\it e'}$) $\in$ Id)))) \- \end{tabbing}