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@tb65536 tb65536 commented Jan 13, 2026

IsPrime.inf_le' states that if a finite intersection of ideals is contained in a prime ideal, then one of those ideals must be contained in the prime ideal. One useful consequence of this is that if a finite intersection of ideals is a prime ideal, then one of those ideals must already be that prime ideal.


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@tb65536 tb65536 added awaiting-CI This PR doesn't pass CI yet. This label is automatically removed once it does. t-algebra Algebra (groups, rings, fields, etc) t-ring-theory Ring theory labels Jan 13, 2026
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github-actions bot commented Jan 13, 2026

PR summary b2f24e70b3

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ eq_inf_of_isPrime_inf

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.


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).

@github-actions github-actions bot removed the awaiting-CI This PR doesn't pass CI yet. This label is automatically removed once it does. label Jan 13, 2026
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Thanks 🎉
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🚀 Pull request has been placed on the maintainer queue by alreadydone.

@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added the maintainer-merge A reviewer has approved the changed; awaiting maintainer approval. label Jan 14, 2026
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Thanks!

bors merge

@leanprover-community-mathlib4-bot leanprover-community-mathlib4-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 Jan 14, 2026
mathlib-bors bot pushed a commit that referenced this pull request Jan 14, 2026
…e'` (#33918)

`IsPrime.inf_le'` states that if a finite intersection of ideals is contained in a prime ideal, then one of those ideals must be contained in the prime ideal. One useful consequence of this is that if a finite intersection of ideals is a prime ideal, then one of those ideals must already be that prime ideal.

Co-authored-by: tb65536 <thomas.l.browning@gmail.com>
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mathlib-bors bot commented Jan 14, 2026

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(RingTheory/Ideal/Operations): equality version of IsPrime.inf_le' [Merged by Bors] - feat(RingTheory/Ideal/Operations): equality version of IsPrime.inf_le' Jan 14, 2026
@mathlib-bors mathlib-bors bot closed this Jan 14, 2026
@adomani adomani mentioned this pull request Jan 16, 2026
eliasjudin pushed a commit to eliasjudin/mathlib4 that referenced this pull request Jan 18, 2026
…e'` (leanprover-community#33918)

`IsPrime.inf_le'` states that if a finite intersection of ideals is contained in a prime ideal, then one of those ideals must be contained in the prime ideal. One useful consequence of this is that if a finite intersection of ideals is a prime ideal, then one of those ideals must already be that prime ideal.

Co-authored-by: tb65536 <thomas.l.browning@gmail.com>
goliath-klein pushed a commit to PrParadoxy/mathlib4 that referenced this pull request Jan 24, 2026
…e'` (leanprover-community#33918)

`IsPrime.inf_le'` states that if a finite intersection of ideals is contained in a prime ideal, then one of those ideals must be contained in the prime ideal. One useful consequence of this is that if a finite intersection of ideals is a prime ideal, then one of those ideals must already be that prime ideal.

Co-authored-by: tb65536 <thomas.l.browning@gmail.com>
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4 participants