This shows that $f$ could not have $n$ zeros without being identically zero.
Hence $Z$ enters $D$ without meeting $x=0$.
Thus $C$ can be removed without changing the union.
This allows proving the representation formula without having to integrate over $X$.
Take $g_1,...,g_n$ without common zero.
However, it is unclear how to prove Corollary 3 without the rank theorem.
Throughout what follows, we shall freely use without explicit mention the elementary fact that ......
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