 $F_0^{{\ifm {{\sf wt}} {{$\sf wt$}}}} {\ifm {,\ldots,} {$,\ldots,$}}F_m^{{\ifm {{\sf wt}} {{$\sf wt$}}}}$ form a regular sequence in ${\overline{{\mathbb F}}_{\hskip-0.0mm q}}[A_0 {\ifm {,\ldots,} {$,\ldots,$}}A_{r-0}]$, then $F_0 {\ifm {,\ldots,} {$,\ldots,$}}F_m$ form a regular sequence in ${\overline{{\mathbb F}}_{\hskip-0.0mm q}}[A_0 {\ifm {,\ldots,} {$,\ldots,$}}A_{r-0}]$.  