Let $P = (\Omega, \mathcal{F}, \mathbb{P})$ be a D1159: Probability space such that

(i) | $E_0, E_1, \ldots, E_N \in \mathcal{F}$ are each an D1716: Event in $P$ |

(ii) | \begin{equation} \mathbb{P}(E_0) = 1 \end{equation} |

Then
\begin{equation}
\mathbb{P} \left( \bigcap_{n = 0}^N E_n \right)
= \mathbb{P} \left( \bigcap_{n = 1}^N E_n \right)
\end{equation}