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[Merged by Bors] - feat(Mathlib/Topology/Bases): subbasis closed under intersection is a basis #12221
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Import summaryDependency changes
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PR summary d07418dc3d
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File | Base Count | Head Count | Change |
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Mathlib.Topology.Bases | 604 | 605 | +1 (+0.17%) |
Import changes for all files
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Too many changes (1342)! |
Declarations diff
+ generateFrom_insert_of_generateOpen
+ generateFrom_insert_univ
+ isTopologicalBasis_of_subbasis_of_finiteInter
+ isTopologicalBasis_of_subbasis_of_inter
+ mk₂
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>
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back for more in a bit.
Co-authored-by: Jireh Loreaux <[email protected]>
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Here are some simplifications for you.
Co-authored-by: Jireh Loreaux <[email protected]>
Co-authored-by: Jireh Loreaux <[email protected]>
…nprover-community/mathlib4 into mans0954/subbasis-closed-under-inter
bors merge |
… basis (#12221) We show that if a sub-basis is closed under finite intersections, then it is a basis for a topology. As a corollary, if a sub-basis is closed under intersections, then inserting the universal set gives a basis for the topology. An example application of this result is given in #12234 Co-authored-by: Christopher Hoskin <[email protected]>
Pull request successfully merged into master. Build succeeded: |
We show that if a sub-basis is closed under finite intersections, then it is a basis for a topology.
As a corollary, if a sub-basis is closed under intersections, then inserting the universal set gives a basis for the topology.
An example application of this result is given in #12234