$\forall$$A$:Type, ${\it eq}$:EqDecider($A$), $L$:($a$:$A$ fp$\rightarrow$ Top List), $x$:$A$.
\\[0ex]($\uparrow$$x$ $\in$ dom($\oplus$($L$))) $\Leftarrow\!\Rightarrow$ ($\exists$$f$$\in$$L$.$\uparrow$$x$ $\in$ dom($f$))