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Hausdorff ctvs - #2022
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mkerjean wants to merge 18 commits into
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mkerjean
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| End hahn_banach_extension_ctvs. | ||
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| (* TBA : to classical ? Where shoudl this go *) |
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@affeldt-aist Do you have a suggestion as to where should these lemmas go ? Lemmas on lmodtype using classical reasoning
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Until now, we would have put such lemmas in unstable.v (which is inside classical). But unstable.v is supposed to act as a purgatory for MathComp proper. In practice, it takes too long to empty unstable.v and the lemmas you propose will never go to MathComp proper. So, isn't it time to create a classical_algebra.v file in classical? @CohenCyril
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November 5, 2026 14:47
| & TopologicalZmodule_isTopologicalLmodule K M}. | ||
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| Lemma accessible_field (K : numFieldType) : accessible_space K^o. |
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This proof carries over to any metric space, maybe belongs in metric_structure.v?
- adding also initial fam topology, gauge functions, and subbase 0basis - hahn banach initial_subctvs Co-authored-by: Reynald Affeldt <reynald.affeldt@aist.go.jp> Co-authored-by: Cyril Cohen <cyril.cohen@inria.fr>
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Co-authored-by: affeldt-aist <33154536+affeldt-aist@users.noreply.github.com>
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| absolutely convex sets *) | ||
| Context (R : realFieldType) (E: convexTvsType R). | ||
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| Definition closed_nbhsbasis_ctvs := |
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Since this definition is exposed, maybe it should be documented.
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Motivation for this change
The goal of this is to prove
hahn_banach_extension_hausdorff. This necessitates a few lemma on hausdorff convexTvs, closure of sets in convexTvs, and the construction of a closed convex basis on every convexTvs.Checklist
CHANGELOG_UNRELEASED.mdReference: How to document
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all compile are preferentially merged into master.
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