[Merged by Bors] - refactor(Topology/Constructible): use QuasiSeparatedSpace
#21325
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A few lemmas took assumptions of the form`IsTopologicalBasis (range b)` + `∀ i j, IsCompact (b i ∩ b j)`. But this is equivalent to the more natural set of assumptions `IsTopologicalBasis (range b)` + `∀ i, IsCompact (b i)` + `QuasiSeparatedSpace X`. Also link to [Stacks 0069](https://stacks.math.columbia.edu/tag/0069).
YaelDillies
changed the title
QuasiSeparatedSpace QuasiSeparatedSpace
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PR summary f0afbe0f4fImport changes exceeding 2%
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| File | Base Count | Head Count | Change |
|---|---|---|---|
| Mathlib.Topology.Constructible | 726 | 744 | +18 (+2.48%) |
Import changes for all files
| Files | Import difference |
|---|---|
Mathlib.Topology.Constructible |
18 |
Declarations diff
+ IsCompact.inter_of_isOpen
+ QuasiSeparatedSpace.of_isTopologicalBasis
You can run this locally as follows
## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>
## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>The doc-module for script/declarations_diff.sh contains some details about this script.
No changes to technical debt.
You can run this locally as
./scripts/technical-debt-metrics.sh pr_summary
- The
relativevalue is the weighted sum of the differences with weight given by the inverse of the current value of the statistic. - The
absolutevalue is therelativevalue divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).
alreadydone
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Feb 1, 2025
alreadydone
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Feb 1, 2025
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🚀 Pull request has been placed on the maintainer queue by alreadydone. |
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I think it would make sense to split the file to avoid the import increase, but at this point in time it feels premature and I would rather wait to see what a meaningful split would be. |
jcommelin
reviewed
Feb 3, 2025
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✌️ YaelDillies can now approve this pull request. To approve and merge a pull request, simply reply with |
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CI already passes 😁 bors merge |
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A few lemmas took assumptions of the form`IsTopologicalBasis (range b)` + `∀ i j, IsCompact (b i ∩ b j)`. But this is equivalent to the more natural set of assumptions `IsTopologicalBasis (range b)` + `∀ i, IsCompact (b i)` + `QuasiSeparatedSpace X`. Also link to [Stacks 0069](https://stacks.math.columbia.edu/tag/0069).
|
Pull request successfully merged into master. Build succeeded: |
mathlib-bors
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QuasiSeparatedSpaceQuasiSeparatedSpace
YaelDillies
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Feb 3, 2025
Also golf the `QuasiSeparatedSpace` instance for affine schemes (the common proof was abstracted out i #21325) and prove that open sets are retrocompact iff they are compact (this should eventually become a lemma about spectral spaces).
jt496
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Feb 3, 2025
A few lemmas took assumptions of the form`IsTopologicalBasis (range b)` + `∀ i j, IsCompact (b i ∩ b j)`. But this is equivalent to the more natural set of assumptions `IsTopologicalBasis (range b)` + `∀ i, IsCompact (b i)` + `QuasiSeparatedSpace X`. Also link to [Stacks 0069](https://stacks.math.columbia.edu/tag/0069).
mathlib-bors bot
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that referenced
this pull request
Feb 4, 2025
Also golf the `QuasiSeparatedSpace` instance for affine schemes (the common proof was abstracted out in #21325) and prove that open sets are retrocompact iff they are compact (this should eventually become a lemma about spectral spaces).
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A few lemmas took assumptions of the form
IsTopologicalBasis (range b)+∀ i j, IsCompact (b i ∩ b j). But this is equivalent to the more natural set of assumptionsIsTopologicalBasis (range b)+∀ i, IsCompact (b i)+QuasiSeparatedSpace X.Also link to Stacks 0069.