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[Merged by Bors] - feat: the single functors from the homotopy category#13600

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joelriou wants to merge 6 commits intomasterfrom
single-functors-homotopy-category
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[Merged by Bors] - feat: the single functors from the homotopy category#13600
joelriou wants to merge 6 commits intomasterfrom
single-functors-homotopy-category

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@joelriou joelriou commented Jun 7, 2024

In this PR, we define the single functors from a preadditive category (with a zero object) to its homotopy category of cochain complexes and show they behave well with respect to shift functors.


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github-actions bot commented Jun 7, 2024

Import summary

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@erdOne erdOne added the WIP Work in progress label Jun 7, 2024
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erdOne commented Jun 7, 2024

Judging by the comments in the code, I have marked this WIP.

@joelriou joelriou added awaiting-review and removed WIP Work in progress labels Jun 7, 2024
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joelriou commented Jun 7, 2024

Now this is ready for review.

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I think simps can generate some useful lemmas?

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joelriou commented Jun 7, 2024

I think simps can generate some useful lemmas?

Actually, in most (future) situations, we do not want these definitions to be unfolded. These are almost like blackboxes which give an additional structure on these categories.

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erdOne commented Jun 7, 2024

Gotcha. Can you record this in the docstring?

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joelriou commented Jun 7, 2024

I have just added a comment.

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PR summary

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Declarations diff

+ instance (W : Type*) [Category W] [Preadditive W] [HasZeroObject W] [DecidableEq ι] (j : ι) :
+ instance (j : ι) : (single V c j).PreservesZeroMorphisms
+ instance (n : ℤ) : ((singleFunctors C).functor n).Additive
+ instance (n : ℤ) : (singleFunctor C n).Additive
+ singleFunctorPostcompQuotientIso
+ singleFunctorsPostcompQuotientIso
++ singleFunctors

You can run this locally as follows
## summary with just the declaration names:
./scripts/no_lost_declarations.sh short <optional_commit>

## more verbose report:
./scripts/no_lost_declarations.sh <optional_commit>

@joelriou joelriou added awaiting-author A reviewer has asked the author a question or requested changes. and removed awaiting-review labels Jun 8, 2024
@joelriou joelriou added awaiting-review awaiting-CI This PR does not pass CI yet. This label is automatically removed once it does. and removed awaiting-author A reviewer has asked the author a question or requested changes. labels Jun 8, 2024
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erdOne commented Jun 8, 2024

Thanks!
maintainer merge

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github-actions bot commented Jun 8, 2024

🚀 Pull request has been placed on the maintainer queue by erdOne.

@github-actions github-actions bot added maintainer-merge A reviewer has approved the changed; awaiting maintainer approval. and removed awaiting-CI This PR does not pass CI yet. This label is automatically removed once it does. labels Jun 8, 2024
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Thanks 🎉

bors merge

@ghost ghost added ready-to-merge This PR has been sent to bors. and removed awaiting-review labels Jun 8, 2024
mathlib-bors bot pushed a commit that referenced this pull request Jun 8, 2024
In this PR, we define the single functors from a preadditive category (with a zero object) to its homotopy category of cochain complexes and show they behave well with respect to shift functors.
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mathlib-bors bot commented Jun 8, 2024

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat: the single functors from the homotopy category [Merged by Bors] - feat: the single functors from the homotopy category Jun 8, 2024
@mathlib-bors mathlib-bors bot closed this Jun 8, 2024
@mathlib-bors mathlib-bors bot deleted the single-functors-homotopy-category branch June 8, 2024 19:30
AntoineChambert-Loir pushed a commit that referenced this pull request Jun 20, 2024
In this PR, we define the single functors from a preadditive category (with a zero object) to its homotopy category of cochain complexes and show they behave well with respect to shift functors.
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