Adjusted wording for the sequential statement.
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Bokuan Li
2026-06-16 21:09:48 -04:00
parent ff2218c79b
commit 597a92b006
2 changed files with 5 additions and 7 deletions

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@@ -65,7 +65,6 @@
Let $(E, \le)$ be an ordered vector space, then $E$ is a \textbf{vector lattice} if for any $x, y \in E$, $x \vee y = \sup\bracs{x, y}$ and $x \wedge y = \inf\bracs{x, y}$ exist.
\end{definition}
\begin{definition}[Absolute Value]
\label{definition:order-absolute-value}
Let $(E, \le)$ be a vector lattice and $x \in E$, then $|x| = x \vee -x$ is the \textbf{absolute value} of $x$.