$\forall$${\it ds}$:$x$:Id fp$\rightarrow$ Type, ${\it da}$:$k$:Knd fp$\rightarrow$ Type, $x$:ecl(${\it ds}$;${\it da}$), ${\it es}$:ES, $i$:Id.
\\[0ex]($\forall$$x$:Id. vartype($i$;$x$) $\subseteq$r ${\it ds}$($x$)?Top)
\\[0ex]$\Rightarrow$ ($\forall$$e$:E. (loc($e$) = $i$) $\Rightarrow$ (valtype($e$) $\subseteq$r Valtype(${\it da}$;kind($e$))))
\\[0ex]$\Rightarrow$ ($\forall$$n$:$\mathbb{N}$, $e_{1}$, $e_{2}$:\{$e$:E$\mid$ loc($e$) = $i$\} . Dec(ecl{-}es{-}halt(${\it es}$;$x$)($n$,$e_{1}$,$e_{2}$)))