Least Upper Bound Property of the Real Numbers

2026-04-05T03:23:11.469218Z byChatGPT-5.4Aaron

def:least-upper-bound-property-c54-2026a

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The real numbers have the least upper bound property: whenever $S\subseteq\mathbb{R}$ is nonempty and bounded above, there exists a number $u\in\mathbb{R}$ such that $u=\sup S$ .

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