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the proof of cvg_at_rightP should be shorter #1134

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affeldt-aist opened this issue Jan 7, 2024 · 0 comments
Open

the proof of cvg_at_rightP should be shorter #1134

affeldt-aist opened this issue Jan 7, 2024 · 0 comments
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enhancement ✨ This issue/PR is about adding new features enhancing the library

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@affeldt-aist
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Lemma cvg_at_rightP (f : R -> R) (p l : R) :

"In a textbook all four of these proofs would be three liners:

  1. In first countable spaces, filter convergence <-> sequence convergence
  2. The lower (upper) limit topology (AKA sogenfrey line) is first countable
  3. All sequences in the lower (upper) limit topology that converge, do so from the left (right).

The proof you have is fine, I'm not complaining about it. I am complaining that some missing classical machinery is making these proofs longer than necessary." @zstone1

@affeldt-aist affeldt-aist added the enhancement ✨ This issue/PR is about adding new features enhancing the library label Jan 7, 2024
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Labels
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