[Merged by Bors] - feat: equivalent characterisation of split continuous linear maps#35057
[Merged by Bors] - feat: equivalent characterisation of split continuous linear maps#35057grunweg wants to merge 28 commits intoleanprover-community:masterfrom
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PR summary 91fb523cd9Import changes exceeding 2%
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| File | Base Count | Head Count | Change |
|---|---|---|---|
| Mathlib.Analysis.Normed.Module.ContinuousInverse | 1910 | 1979 | +69 (+3.61%) |
Import changes for all files
| Files | Import difference |
|---|---|
Mathlib.Analysis.Normed.Module.ContinuousInverse |
69 |
Declarations diff
+ antilipschitzConstant_of_injective_of_isClosed_range
+ antilipschitz_antiLipschitzConstant_of_injective_of_isClosed_range
+ closedComplemented_range
+ exists_isClosed_isCompl
+ isClosed
+ isClosed_range
+ leftInverse_of_injective_of_isClosed_range
+ of_injective_of_isClosed_range_of_closedComplement_range
+ range_eq_ker_of_leftInverse
+ range_toLinearMap
++ complement
++ isClosed_complement
++ isCompl_complement
- ClosedComplemented.exists_isClosed_isCompl
- ClosedComplemented.isClosed
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 scripts/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).
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This PR/issue depends on: |
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This PR is ready for review again. |
j-loreaux
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This is nice, thanks!
bors merge
…5057) We add an equivalent characterisation of continuous linear maps with a continuous left inverse: f admits a continuous left inverse iff it splits, i.e. is injective, has closed range and range f has a closed complement. This equivalence is used for extracting an explicit complement for immersions, hence transitively for proving that immersions are closed under composition. From the path towards immersions, submersions and embedded submanifolds.
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Build failed: |
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As this PR is labelled bors merge |
…5057) We add an equivalent characterisation of continuous linear maps with a continuous left inverse: `f` admits a continuous left inverse iff it is injective, has closed range and `range f` has a closed complement. This equivalence is used for extracting an explicit complement for immersions, hence transitively for proving that immersions are closed under composition. From the path towards immersions, submersions and embedded submanifolds.
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Pull request successfully merged into master. Build succeeded: |
…anprover-community#35057) We add an equivalent characterisation of continuous linear maps with a continuous left inverse: `f` admits a continuous left inverse iff it is injective, has closed range and `range f` has a closed complement. This equivalence is used for extracting an explicit complement for immersions, hence transitively for proving that immersions are closed under composition. From the path towards immersions, submersions and embedded submanifolds.
…anprover-community#35057) We add an equivalent characterisation of continuous linear maps with a continuous left inverse: `f` admits a continuous left inverse iff it is injective, has closed range and `range f` has a closed complement. This equivalence is used for extracting an explicit complement for immersions, hence transitively for proving that immersions are closed under composition. From the path towards immersions, submersions and embedded submanifolds.
…anprover-community#35057) We add an equivalent characterisation of continuous linear maps with a continuous left inverse: `f` admits a continuous left inverse iff it is injective, has closed range and `range f` has a closed complement. This equivalence is used for extracting an explicit complement for immersions, hence transitively for proving that immersions are closed under composition. From the path towards immersions, submersions and embedded submanifolds.
We add an equivalent characterisation of continuous linear maps with a continuous left inverse:
fadmits a continuous left inverse iff it is injective, has closed range andrange fhas a closed complement.This equivalence is used for extracting an explicit complement for immersions, hence transitively for proving that immersions are closed under composition.
From the path towards immersions, submersions and embedded submanifolds.