$\forall$$A$:Type, $B$, $C$:($A$$\rightarrow$Type), ${\it eq}$:EqDecider($A$), $f$:$a$:$A$ fp$\rightarrow$ $B$($a$), $g$:$a$:$A$ fp$\rightarrow$ $C$($a$).
\\[0ex]($\forall$$x$:$A$. (($\uparrow$$x$ $\in$ dom($f$)) \& ($\uparrow$$x$ $\in$ dom($g$))) $\Rightarrow$ (($B$($x$) $\subseteq$r $C$($x$)) c$\wedge$ ($f$($x$) = $g$($x$) $\in$ $C$($x$))))
\\[0ex]$\Rightarrow$ $g$ $\subseteq$ $f$ $\oplus$ $g$