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Mathcomp master hausdorff close #177

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merged 8 commits into from
May 6, 2020
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@affeldt-aist affeldt-aist commented Apr 13, 2020

This PR:

  • generalizes lemmas from topology.v and normedtype.v using the hausdorff predicate:
    • generalize the predicate close x y for two points of a topological space (was previously defined at the level of pseudometric spaces)
    • lemmas flim_unique, locally_flim_unique, lim_id, flim_lim, flim_map_lim, etc. are now defined at the level of topogical spaces
    • alternative definition of hausdorff for topological spaces (lemma open_hausdorff)
    • alternative definition of hausdorff for pseudometric spaces (lemma ball_hausdorff)
    • proof that normed modules are Hausdorff (lemma normedModType_hausdorff)
  • fixes extended reals
    • fix the definition of filters for extended reals (ereal_locally, ereal_locally')
    • fix the definitions of inequalities
    • equip extended reals with a structure of topological space
    • proof that extended reals are Hausdorff

Start of this PR: 4 cherry-picked commits from the branch mathcomp_master_integral_ereal
ca4995d
87788a5
42f184e
8dcc72a
Add modifications introduced by commits
5e75df1
d64953e
0d11d38
29d807d
8f4c265
80f11f6
(Yet, the changes made to files specific to mathcomp_master_integral_ereal such as integral.v have not been reported here.)

Relation with PR #174: The contents of these 4 commits have been modified to be a superset of PR #174 (checked with @mkerjean):

  • This PR provides proofs for flimi_cluster (now flimi_close) and flim_clusterP (now flim_closeP).
  • locally_flim_unique, lim_id, flim_map_lim, flimi_unique, and flimi_map_lim have been generalized like they were in PR Mathcomp master hausdorff #174.

@affeldt-aist affeldt-aist force-pushed the mathcomp_master_hausdorff_close branch from 52c8bd7 to b5abef1 Compare April 14, 2020 16:20
@affeldt-aist affeldt-aist force-pushed the mathcomp_master_hausdorff_close branch from b5abef1 to 5b84784 Compare April 14, 2020 18:20
@affeldt-aist affeldt-aist force-pushed the mathcomp_master_hausdorff_close branch from af286cc to ee13bac Compare April 21, 2020 12:39
@affeldt-aist affeldt-aist force-pushed the mathcomp_master branch 4 times, most recently from cdd5e48 to 1276a41 Compare April 21, 2020 17:48
@affeldt-aist affeldt-aist force-pushed the mathcomp_master branch 4 times, most recently from ebdbe9f to f474275 Compare April 21, 2020 21:36
@affeldt-aist affeldt-aist force-pushed the mathcomp_master_hausdorff_close branch from 629a585 to 85126aa Compare April 21, 2020 22:25
@affeldt-aist affeldt-aist force-pushed the mathcomp_master branch 3 times, most recently from 5cc9b78 to 0afbda8 Compare April 22, 2020 12:48
@affeldt-aist affeldt-aist force-pushed the mathcomp_master branch 2 times, most recently from 4d1cc32 to 4905f3c Compare April 22, 2020 21:10
@affeldt-aist affeldt-aist force-pushed the mathcomp_master_hausdorff_close branch 4 times, most recently from ea59975 to 7364cbf Compare April 24, 2020 18:43
@affeldt-aist affeldt-aist changed the base branch from mathcomp_master to master April 24, 2020 21:19
@affeldt-aist affeldt-aist added this to the 0.3.0 milestone Apr 27, 2020
@CohenCyril
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Is it ready for review?

@CohenCyril CohenCyril closed this Apr 28, 2020
@CohenCyril CohenCyril reopened this Apr 28, 2020
@affeldt-aist
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Is it ready for review?

I would say yet (provided we do the squash just before an eventual merge).

@affeldt-aist affeldt-aist force-pushed the mathcomp_master_hausdorff_close branch from 5fcd283 to 4f1de13 Compare April 29, 2020 16:16
@CohenCyril CohenCyril force-pushed the mathcomp_master_hausdorff_close branch from 4f1de13 to 17086dc Compare May 4, 2020 15:31
affeldt-aist and others added 8 commits May 6, 2020 19:45
so that this branch becomes a superset of PR#174

Co-authored-by: Marie Kerjean <kerjean@irif.fr>
- equip extended reals with a structure of topological space
- show that extended reals are hausdorff
- fix documentation of topology.v
- add a few more lemmas

Co-authored-by: Cyril Cohen <cohen@crans.org>
@CohenCyril CohenCyril force-pushed the mathcomp_master_hausdorff_close branch from 17086dc to 7d1689b Compare May 6, 2020 18:26
@CohenCyril CohenCyril merged commit 900f5a3 into master May 6, 2020
@affeldt-aist affeldt-aist deleted the mathcomp_master_hausdorff_close branch May 14, 2020 18:26
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