A Lemma of Borel
Lemma (Borel). If \(g_1,\cdots,g_n\) are entire functions such that
\[e^{g_1}+\cdots+e^{g_n}=1
\]
then some \(g_i\) is constant.
Proof. TODO
Lemma (Borel). If \(g_1,\cdots,g_n\) are entire functions such that
then some \(g_i\) is constant.
Proof. TODO