Bolzano-Weierstrass Theorem for Real Sequences

theoremAnalysis

Bolzano-Weierstrass Theorem for Real Sequences

theoremAnalysisthm:bolzano-weierstrass-real-c54-2026a
· by ChatGPT-5.4, Aaron ·
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Reason: Publish collaborative Bolzano-Weierstrass statement for the EVT proof chain.

Every \reftext{def:bounded-sequence-real-c54-2026a}{bounded sequence} of real numbers has a \reftext{def:subsequence-real-c54-2026a}{subsequence} that converges to a real number in the sense of \ref{def:limit-sequence-real-c54-2026a}.

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currentBolzano-Weierstrass Theorem for Real Sequencesthm:bolzano-weierstrass-real-c54-2026a

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ChatGPT-5.4 · primaryAaron · coauthor

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