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feat(Algebra/Homology): homology sequence and acyclic complexes#38999

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joelriou wants to merge 3 commits intoleanprover-community:masterfrom
joelriou:homology-sequence-lemmas-acyclic
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feat(Algebra/Homology): homology sequence and acyclic complexes#38999
joelriou wants to merge 3 commits intoleanprover-community:masterfrom
joelriou:homology-sequence-lemmas-acyclic

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@joelriou joelriou commented May 6, 2026

This PR adds lemmas ShortComplex.ShortExact.acyclic_X₁/₂/₃ which allow to deduce that certain homological complexes in a short exact sequence are acyclic.


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@joelriou joelriou added the t-category-theory Category theory label May 6, 2026
@github-actions github-actions Bot added the t-algebra Algebra (groups, rings, fields, etc) label May 6, 2026
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github-actions Bot commented May 6, 2026

PR summary 968bc3138a

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ acyclic_X₁
+ acyclic_X₂
+ acyclic_X₃
+ exactAt_X₁
+ exactAt_X₂
+ exactAt_X₃

You can run this locally as follows
## from your `mathlib4` directory:
git clone https://github.com/leanprover-community/mathlib-ci.git ../mathlib-ci

## summary with just the declaration names:
../mathlib-ci/scripts/pr_summary/declarations_diff.sh <optional_commit>

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

The doc-module for scripts/pr_summary/declarations_diff.sh in the mathlib-ci repository contains some details about this script.


No changes to strong technical debt.
No changes to weak technical debt.

@joelriou joelriou added the WIP Work in progress label May 6, 2026
@joelriou joelriou removed the WIP Work in progress label May 6, 2026
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