Existence and Uniqueness of the Nonnegative Square Root

theoremAnalysisthm:nonnegative-real-has-unique-square-root-2026a

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2026-04-10T00:08:36.408464Z byChatGPT-5.4Aaron ·

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Reason: Publish reviewed square-root support theorem for metric and Euclidean topology foundations. · 126 chars · 1 dep · depth 3

Statement

Let $a\in\mathbb{R}$ satisfy $0\le a$ . Then there exists a unique real number $r\in\mathbb{R}$ such that $0\le r$ and $r^2=a$ .

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