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sync to master#17157

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yoh-tanimoto merged 9 commits intoyoh-tanimoto-innerproductspace-quotientfrom
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Sep 26, 2024
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sync to master#17157
yoh-tanimoto merged 9 commits intoyoh-tanimoto-innerproductspace-quotientfrom
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mathlib-bors bot and others added 9 commits September 26, 2024 00:03
This PR updates the Mathlib dependencies.
Notably, `NormedSpace.to_uniformContinuousConstSMul` is generalized to `BoundedSMul` on `PseudoMetricSpace`s, relaxing the scalar considerably from normed fields.



Co-authored-by: Eric Wieser <efw@google.com>
Delete `Algebra.Bounds` and `Algebra.Order.Pointwise`. Create
* `Algebra.Order.Field.Pointwise` for lemmas about pointwise operations in linear ordered fields
* `Algebra.Order.Group.CompleteLattice` for distributivity of group operations over supremum/infimum
* `Algebra.Order.Group.Pointwise.Bounds` for boundedness of pointwise-defined sets
* `Algebra.Order.Group.Pointwise.CompleteLattice` for lemmas about the supremum/infimum of pointwise-defined sets.
…identity (#17065)

In a closed monoidal category, the internal hom defined by mapping out of the monoidal unit is naturally isomorphic to the identity. This specializes to an analogous result about exponentiating with the terminal object in a cartesian closed category.

Co-authored-by: [Dagur Asgeirsson](https://github.com/dagurtomas)
This PR adds two lemmas about monotonicity for `lfpApprox` and `gfpApprox` each. I found them helpful when working with the API.



Co-authored-by: Ira Fesefeldt <public@feuervogel.me>
Co-authored-by: Ira Fesefeldt <9974411+PhoenixIra@users.noreply.github.com>
This adds the [Woodbury Identity](https://en.wikipedia.org/wiki/Woodbury_matrix_identity).

[Zulip discussion](https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Woodbury.20identity/near/462245284)

Also corrects some bad deprecations introduced in #16590, which affected development of this PR.

Co-authored-by: Mohanad Ahmad



Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
… to `AnalyticOn` (#17146)

For coherence with `ContinuousOn`, `DifferentiableOn` and so on. See Zulip https://leanprover.zulipchat.com/#narrow/stream/144837-PR-reviews/topic/Integrate.20analytic.20functions.20in.20the.20smooth.20hierarchy/near/471899268

This is 90% renaming all `AnalyticOn` to `AnalyticOnNhd` and then `AnalyticWithinOn` to `AnalyticOn`, and then adding deprecations. The 10% remaining is, when adding a deprecation `alias AnalyticOn.foo := AnalyticOnNhd.foo`, I noticed that `AnalyticOn.foo` would definitely make sense (with the new meaning of `AnalyticOn`), so I added the lemma with the new meaning instead of deprecating the old one.
@yoh-tanimoto yoh-tanimoto merged commit a1a093f into yoh-tanimoto-innerproductspace-quotient Sep 26, 2024
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PR summary 5d4532a2dd

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference
Mathlib.Analysis.InnerProductSpace.Quotient 1612

Declarations diff

+ inn_nullSpace_right_eq_zero
+ innerQ
+ inner_eq_zero_of_left_mem_nullSpace
+ inner_nullSpace_right_eq_zero
+ instance : InnerProductSpace 𝕜 (E ⧸ (nullSpace 𝕜 E))
+ instance : IsClosed ((nullSpace 𝕜 E) : Set E) := by
+ mem_nullSpace_iff
+ nullSpace
+ nullSpace_le_ker_preInnerQ
+ nullSpace_le_ker_toDualMap
+ nullSpace_le_ker_toDualMap'
+ preInnerQ

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.

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