ThmDex – An index of mathematical definitions, results, and conjectures.
F9858
Formulation 0
Let $\emptyset$ be the D13: Empty set.
Let $X_n$ be a D11: Set for each $n \in \mathbb{N}$ such that
(i) \begin{equation} \exists \, n \in \mathbb{N} : X_n = \emptyset \end{equation}
Then \begin{equation} \prod_{n = 0}^{\infty} X_n = \emptyset \end{equation}