(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

How can you prove Heine-Porel (unit interval is compact) theorem by Bolzano-Weierstrass theorem (there is a limit in a continuous and bounded interval)?

3. The attempt at a solution

Compact means that the sequence is complete and totally bounded.

Unit interval perhaps means a bounded interval of an unit length.

I do not see how the continuity in Bolzano-Weierstrass theorem is related to

Heine-Porel theorem.

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# Heine-Porel from Bolzano-Weierstrass

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