 that $\mathcal{G}_0$, $\mathcal{S}_0$ and $\mathcal{R}$ form a regular sequence in ${\overline{{\mathbb F}}_{\hskip-0.0mm q}}[A_{s} {\ifm {,\ldots,} {$,\ldots,$}}A_0]$, where $\mathcal{G}_0$, $\mathcal{R}$ and $\mathcal{S}_0$ 