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[Merged by Bors] - feat(Module/ZLattice): define the pullback of a ZLattice #16822

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@xroblot xroblot commented Sep 15, 2024

Define the pullback of a ZLattice L by a linear map f. The following results are also included:

  • If f is a continuous linear equiv, then the pullback is also a ZLattice (added as an instance).
  • If f is a linear equiv, define the corresponding basis of the pullback obtained from a basis of L
  • If f is a continuous linear equiv and volume preserving, prove that L and its pullback have the same volume.

This PR is part of the proof of the Analytic Class Number Formula.


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github-actions bot commented Sep 15, 2024

PR summary 96173177b4

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ Basis.ofZLatticeComap
+ Basis.ofZLatticeComap_apply
+ Basis.ofZLatticeComap_repr_apply
+ ZLattice.coe_comap
+ ZLattice.comap
+ ZLattice.comap_comp
+ ZLattice.comap_discreteTopology
+ ZLattice.comap_equiv
+ ZLattice.comap_equiv_apply
+ ZLattice.comap_refl
+ ZLattice.comap_span_top
+ covolume_comap
+ instIsZLatticeComap
+ instance [DiscreteTopology L] (e : F ≃L[K] E) :
+ map

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.

Co-authored-by: github-actions[bot] <41898282+github-actions[bot]@users.noreply.github.com>
@xroblot xroblot added the t-algebra Algebra (groups, rings, fields, etc) label Sep 15, 2024
@leanprover-community-bot-assistant leanprover-community-bot-assistant added the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Oct 3, 2024
@leanprover-community-bot-assistant leanprover-community-bot-assistant removed the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Oct 9, 2024
@jcommelin jcommelin added the awaiting-author A reviewer has asked the author a question or requested changes label Oct 17, 2024
@xroblot xroblot changed the title feat(Module/ZLattice): define the coimage of a ZLattice feat(Module/ZLattice): define the pullback of a ZLattice Oct 19, 2024
@xroblot xroblot requested a review from jcommelin October 19, 2024 13:15
@xroblot xroblot removed the awaiting-author A reviewer has asked the author a question or requested changes label Oct 19, 2024
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bors d+

Mathlib/Algebra/Module/ZLattice/Basic.lean Outdated Show resolved Hide resolved
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mathlib-bors bot commented Oct 21, 2024

✌️ xroblot can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

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xroblot commented Oct 21, 2024

bors r+

mathlib-bors bot pushed a commit that referenced this pull request Oct 21, 2024
Define the pullback of a ZLattice `L` by a linear map `f`. The following results are also included:

- If `f` is a continuous linear equiv, then the pullback is also a ZLattice (added as an instance).
- If `f` is a linear equiv, define the corresponding basis of the pullback obtained from a basis of `L` 
- If `f` is a continuous linear equiv and volume preserving, prove that `L` and its pullback have the same volume. 

This PR is part of the proof of the Analytic Class Number Formula.



Co-authored-by: Xavier Roblot <46200072+xroblot@users.noreply.github.com>
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mathlib-bors bot commented Oct 21, 2024

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(Module/ZLattice): define the pullback of a ZLattice [Merged by Bors] - feat(Module/ZLattice): define the pullback of a ZLattice Oct 21, 2024
@mathlib-bors mathlib-bors bot closed this Oct 21, 2024
@mathlib-bors mathlib-bors bot deleted the xfr-zlattice_map branch October 21, 2024 13:28
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