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feat(Algebra/Module): define stably free modules#36951

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mbkybky:StablyFree
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feat(Algebra/Module): define stably free modules#36951
mbkybky wants to merge 15 commits intoleanprover-community:masterfrom
mbkybky:StablyFree

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@mbkybky mbkybky commented Mar 21, 2026

We define stably free modules: a module M over a commutative ring R is called stably free if there exists a finite free module N over R such that M ⊕ N is free.


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github-actions bot commented Mar 21, 2026

PR summary 4ec5d95aa6

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference
Mathlib.Algebra.Module.StablyFree.Basic (new file) 1373

Declarations diff

+ IsStablyFree
+ IsStablyFree.equiv
+ IsStablyFree.equiv_iff
+ IsStablyFree.of_free_prod
+ IsStablyFree.out
+ instance (priority := low) IsStablyFree.projective [IsStablyFree R M] : Module.Projective R M := by
+ instance [Free R M] : IsStablyFree R M

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.


No changes to technical debt.

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).

@github-actions github-actions bot added the t-algebra Algebra (groups, rings, fields, etc) label Mar 21, 2026
@dagurtomas dagurtomas added the awaiting-author A reviewer has asked the author a question or requested changes. label Apr 2, 2026
@mbkybky mbkybky removed the awaiting-author A reviewer has asked the author a question or requested changes. label Apr 3, 2026
@mbkybky mbkybky added the awaiting-author A reviewer has asked the author a question or requested changes. label Apr 3, 2026
@mbkybky mbkybky removed the awaiting-author A reviewer has asked the author a question or requested changes. label Apr 3, 2026
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