![computer-assisted proof] PhD students have used Lean to prove that a normed real vector space with compact unit ball is finite-dimensional : r/math computer-assisted proof] PhD students have used Lean to prove that a normed real vector space with compact unit ball is finite-dimensional : r/math](https://external-preview.redd.it/SM8edUIaYEhDRdXvy9Tc38o7-SWlRty_mER8bevMZ5E.jpg?auto=webp&s=e28abb55e538912025e6a87ca8527dcdffe49b52)
computer-assisted proof] PhD students have used Lean to prove that a normed real vector space with compact unit ball is finite-dimensional : r/math
![real analysis - Where is closedness of the unit ball used in the proof of Banach-Alaoglu theorem? - Mathematics Stack Exchange real analysis - Where is closedness of the unit ball used in the proof of Banach-Alaoglu theorem? - Mathematics Stack Exchange](https://i.stack.imgur.com/mlEhh.png)
real analysis - Where is closedness of the unit ball used in the proof of Banach-Alaoglu theorem? - Mathematics Stack Exchange
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real analysis - Show that S is non-compact and deduce further that the closed unit ball in X is non-compact. - Mathematics Stack Exchange
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GitHub - LAC1213/compact_unit_ball: Lean proof that a normed vector space with compact unit ball is finite dimensional
![real analysis - Not sure why a certain sequence of functions shows that the unit ball is not compact in $C([0,1])$? - Mathematics Stack Exchange real analysis - Not sure why a certain sequence of functions shows that the unit ball is not compact in $C([0,1])$? - Mathematics Stack Exchange](https://i.stack.imgur.com/4Q17l.png)
real analysis - Not sure why a certain sequence of functions shows that the unit ball is not compact in $C([0,1])$? - Mathematics Stack Exchange
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![compactness - Show that the closed unit ball $B[0,1]$ in $C[0,1]$ is not compact - Mathematics Stack Exchange compactness - Show that the closed unit ball $B[0,1]$ in $C[0,1]$ is not compact - Mathematics Stack Exchange](https://i.stack.imgur.com/WcxKk.gif)