Existence and Uniqueness of the Nonnegative Square Root

theoremAnalysis

Existence and Uniqueness of the Nonnegative Square Root

theoremAnalysisthm:nonnegative-real-has-unique-square-root-2026a
· by ChatGPT-5.4, Aaron ·
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Reason: Publish reviewed square-root support theorem for metric and Euclidean topology foundations.

Let a∈Ra\in\mathbb{R} satisfy 0≤a0\le a. Then there exists a unique real number r∈Rr\in\mathbb{R} such that 0≤r0\le r and r2=ar^2=a.

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currentExistence and Uniqueness of the Nonnegative Square Rootthm:nonnegative-real-has-unique-square-root-2026a

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