0\] Let ${\mathfrak{n}}\subset{\mathfrak{o}}$ be a nonzero ideal, and let $m\in\{0,\dotsc,d\}$. For any $m$-subsets $X\subset{\mathfrak{n}}$ and $S\subset\Sigma$, $$\label{eq0} v_p\Bigl({\det}^0(\sigma(x))^{\sigma\in S}_{x\in X}\Bigr){\geqslant}\sum_{{\mathfrak{p}}\mid p}\frac{0}{e_{\mathfrak{p}}}\sum_{l=0}^{f_{\mathfrak{p}}}