Elementary Symmetric Function/Examples/m = 0

Example of Elementary Symmetric Function: $m = 0$
Let $\map {e_0} {\set {x_1, x_2, \ldots, x_n} }$ be an elementary symmetric function in $n$ variables of degree $0$.

Then:
 * $\map {e_0} {\set {x_1, x_2, \ldots, x_n} } = 1$

Proof
By definition:

Whether the summation $\ds \sum_{1 \mathop \le n}$ makes sense, as such, is a moot point.