$\forall$$A$:Type, ${\it eq}$:EqDecider($A$), $B$:($A$$\rightarrow$Type), $g$:$x$:$A$ fp$\rightarrow$ $B$($x$), $x$:$A$.
\\[0ex]$x$ $\in$ dom(fpf{-}normalize(${\it eq}$;$g$)) $\sim$ $x$ $\in$ dom($g$)