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[Merged by Bors] - feat(Algebra/Homology/SpectralObject): differentials on pages#36032

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[Merged by Bors] - feat(Algebra/Homology/SpectralObject): differentials on pages#36032
joelriou wants to merge 80 commits intoleanprover-community:masterfrom
joelriou:spectral-sequences-2-differentials

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@joelriou joelriou commented Mar 3, 2026

Compositions of five morphisms in the index category of a spectral object give differentials, which eventually will be the differentials on each page of the constructed spectral sequences attached to spectral objects in abelian categories.


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joelriou and others added 28 commits February 15, 2026 16:39
@joelriou joelriou added the t-category-theory Category theory label Mar 3, 2026
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github-actions bot commented Mar 3, 2026

PR summary fc5a8865a9

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference
Mathlib.Algebra.Homology.SpectralObject.Differentials (new file) 843

Declarations diff

+ cyclesMap_Ψ
+ cyclesMap_Ψ_exact
+ d
+ d_EIsoH_hom
+ d_d
+ d_ιE_fromOpcycles
+ sequenceΨ
+ sequenceΨ_exact
+ toCycles_Ψ
+ toCycles_πE_d
+ Ψ
+ Ψ_fromOpcycles
+ Ψ_opcyclesMap
+ Ψ_opcyclesMap_exact
+ πE_EIsoH_hom
+ πE_d_ιE

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

## more verbose report:
./scripts/pr_summary/declarations_diff.sh long <optional_commit>

The doc-module for scripts/pr_summary/declarations_diff.sh contains some details about this script.


Increase in tech debt: (relative, absolute) = (2.00, 0.00)
Current number Change Type
10084 2 backward.isDefEq

Current commit 08391e212f
Reference commit fc5a8865a9

You can run this locally as

./scripts/reporting/technical-debt-metrics.sh pr_summary
  • The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
  • The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

@smorel394
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I don't know how to golf the code, but I checked the definitions against Verdier's book and everything looks good to me.

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Thanks!

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github-actions bot commented Mar 6, 2026

🚀 Pull request has been placed on the maintainer queue by robin-carlier.

@mathlib-triage mathlib-triage bot added the maintainer-merge A reviewer has approved the changed; awaiting maintainer approval. label Mar 6, 2026
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Thanks!

bors merge

@mathlib-triage mathlib-triage bot added ready-to-merge This PR has been sent to bors. and removed maintainer-merge A reviewer has approved the changed; awaiting maintainer approval. labels Mar 7, 2026
mathlib-bors bot pushed a commit that referenced this pull request Mar 7, 2026
Compositions of five morphisms in the index category of a spectral object give differentials, which eventually will be the differentials on each page of the constructed spectral sequences attached to spectral objects in abelian categories.
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mathlib-bors bot commented Mar 7, 2026

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(Algebra/Homology/SpectralObject): differentials on pages [Merged by Bors] - feat(Algebra/Homology/SpectralObject): differentials on pages Mar 7, 2026
@mathlib-bors mathlib-bors bot closed this Mar 7, 2026
xroblot pushed a commit to xroblot/mathlib4 that referenced this pull request Mar 8, 2026
…over-community#36032)

Compositions of five morphisms in the index category of a spectral object give differentials, which eventually will be the differentials on each page of the constructed spectral sequences attached to spectral objects in abelian categories.
xroblot pushed a commit to xroblot/mathlib4 that referenced this pull request Mar 9, 2026
…over-community#36032)

Compositions of five morphisms in the index category of a spectral object give differentials, which eventually will be the differentials on each page of the constructed spectral sequences attached to spectral objects in abelian categories.
seewoo5 pushed a commit to seewoo5/mathlib4 that referenced this pull request Mar 9, 2026
…over-community#36032)

Compositions of five morphisms in the index category of a spectral object give differentials, which eventually will be the differentials on each page of the constructed spectral sequences attached to spectral objects in abelian categories.
xroblot pushed a commit to xroblot/mathlib4 that referenced this pull request Mar 10, 2026
…over-community#36032)

Compositions of five morphisms in the index category of a spectral object give differentials, which eventually will be the differentials on each page of the constructed spectral sequences attached to spectral objects in abelian categories.
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4 participants