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feat(CategoryTheory): constructor for abelian categories#35381

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joelriou:abelian-constructor
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feat(CategoryTheory): constructor for abelian categories#35381
joelriou wants to merge 1 commit intoleanprover-community:masterfrom
joelriou:abelian-constructor

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@joelriou joelriou commented Feb 15, 2026

We assume that the category C is preadditive, has finite products, and that any morphism f : X ⟶ Y has a kernel i : K ⟶ X, a cokernel p : Y ⟶ Q such that f factors as f = π ≫ ι where π : X ⟶ I is a cokernel of i and ι : I ⟶ Y is a kernel of p.

This will be used in order to show that the heart of a t-structure is an abelian category.


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@joelriou joelriou added the t-category-theory Category theory label Feb 15, 2026
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PR summary 99884c2730

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ mk'

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 scripts/declarations_diff.sh contains some details about this script.


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).

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