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