Let $x_0, y_0, x_1, y_1, x_2, y_2, \ldots \in [0, \infty)$ each be an D4767: Unsigned real number such that
(i) | \begin{equation} \forall \, n \in \mathbb{N} : x_n \leq y_n \end{equation} |
Then
\begin{equation}
\sum_{n \in \mathbb{N}} x_n \leq \sum_{n \in \mathbb{N}} y_n
\end{equation}