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adding basic notions for arzela ascoli #527

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merged 2 commits into from Feb 18, 2022
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zstone1
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@zstone1 zstone1 commented Jan 21, 2022

The second part of several, working towards arzela ascoli. This introduces

  1. Equicontinuity
  2. precompact
  3. pointwisePrecompact

And a bunch of corresponding helper lemmas. None of these are the interesting lemmas for Ascoli's theorem.

I'm missing docs for the definitions, changelog notes. I'll add those shortly.

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@zstone1 zstone1 force-pushed the arzela_pt1 branch 2 times, most recently from 353c413 to f4cd445 Compare February 12, 2022 20:07
@affeldt-aist affeldt-aist self-requested a review February 18, 2022 04:52
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I proof-read but it was mostly formatting. Maybe the equality in closure_id could be reversed.

Update theories/topology.v

Co-authored-by: Cyril Cohen <CohenCyril@users.noreply.github.com>

Update theories/topology.v

Co-authored-by: Cyril Cohen <CohenCyril@users.noreply.github.com>

Update theories/topology.v

Co-authored-by: Cyril Cohen <CohenCyril@users.noreply.github.com>

Update theories/topology.v

Co-authored-by: Cyril Cohen <CohenCyril@users.noreply.github.com>

Update theories/topology.v

Co-authored-by: Cyril Cohen <CohenCyril@users.noreply.github.com>

Update theories/topology.v

Co-authored-by: Cyril Cohen <CohenCyril@users.noreply.github.com>

Update theories/topology.v

Co-authored-by: Cyril Cohen <CohenCyril@users.noreply.github.com>

Update theories/topology.v

Co-authored-by: Cyril Cohen <CohenCyril@users.noreply.github.com>

Update theories/topology.v

Co-authored-by: Cyril Cohen <CohenCyril@users.noreply.github.com>

Update theories/topology.v

Co-authored-by: Cyril Cohen <CohenCyril@users.noreply.github.com>

Update theories/topology.v

Co-authored-by: Cyril Cohen <CohenCyril@users.noreply.github.com>

using near syntax

cleaned up precompact, adding docs

fixing changelog

fixing import

missed some linting

nitpicking
@zstone1 zstone1 merged commit 60b47c2 into math-comp:master Feb 18, 2022
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3 participants