[Merged by Bors] - feat(Algebra/Homology/ShortComplex): cycles can be computed with a limit kernel fork

[joelriou]

We make a few additions to the homology API, as it shall be necessary to formalize spectral sequences #33842.
Let S be a short complex. The data of a kernel fork of S.g allows to compute S.cycles. Similarly, the data of a cokernel cofork of S.f allows to compute S.opcycles.

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[github-actions]

PR summary 23a3f86b32

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

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Declarations diff

+ HomologyData.left_homologyIso_eq_right_homologyIso_trans_iso_symm
+ isIso_iff
+ isoCyclesOfIsLimit
+ isoCyclesOfIsLimit_hom_iCycles
+ isoCyclesOfIsLimit_inv_ι
+ isoOpcyclesOfIsColimit
+ pOpcycles_π_isoOpcyclesOfIsColimit_inv
+ π_isoOpcyclesOfIsColimit_hom

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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No changes to technical debt.

You can run this locally as

./scripts/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).

[robin-carlier]

Thanks!

maintainer merge

[github-actions]

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

[jcommelin]

Thanks 🎉

bors merge

[mathlib-bors]

This PR was included in a batch that was canceled, it will be automatically retried

[mathlib-bors]

Pull request successfully merged into master.

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