ThmDex – An index of mathematical definitions, results, and conjectures.
F10965
Formulation 0
Let $x_0, x_1, x_2, \ldots \in [0, 1)$ each be a D993: Real number.
Then \begin{equation} \prod_{n = 0}^{\infty} (1 - x_n) = 0 \quad \iff \quad \sum_{n = 0}^{\infty} x_n = \infty \end{equation}