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feat(RamificationInertia): add ramificationIdx_le_ramificationIdx and inertiaDeg_le_inertiaDeg#35405

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feat(RamificationInertia): add ramificationIdx_le_ramificationIdx and inertiaDeg_le_inertiaDeg#35405
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@xroblot xroblot commented Feb 16, 2026

Assume that Q is over P that is over p. We prove that:

  • Ideal.ramificationIdx P Q ≤ Ideal.ramificationIdx p Q
  • Ideal.inertiaDeg P Q ≤ Ideal.inertiaDeg p Q

Note: These results also follow from Ideal.ramificationIdx_algebra_tower and Ideal.inertiaDeg_algebra_tower but they are proved here in a slightly more general situation.


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github-actions bot commented Feb 16, 2026

PR summary 79463c8311

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ inertiaDeg_le_inertiaDeg
++ ramificationIdx_le_ramificationIdx

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-number-theory Number theory (also use t-algebra or t-analysis to specialize) label Feb 16, 2026
@mathlib-dependent-issues mathlib-dependent-issues bot added blocked-by-other-PR This PR depends on another PR (this label is automatically managed by a bot) and removed blocked-by-other-PR This PR depends on another PR (this label is automatically managed by a bot) labels Feb 18, 2026
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This pull request has conflicts, please merge master and resolve them.

@mathlib-merge-conflicts mathlib-merge-conflicts bot added the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Feb 27, 2026
@github-actions github-actions bot removed the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Feb 28, 2026
@mathlib-merge-conflicts mathlib-merge-conflicts bot added the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Mar 6, 2026
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This pull request has conflicts, please merge master and resolve them.

@github-actions github-actions bot removed the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Mar 6, 2026
@mathlib-merge-conflicts mathlib-merge-conflicts bot added the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Mar 25, 2026
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This pull request has conflicts, please merge master and resolve them.

@github-actions github-actions bot removed the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Mar 26, 2026
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LGTM with minor golfs

@robin-carlier robin-carlier added the awaiting-author A reviewer has asked the author a question or requested changes. label Apr 3, 2026
@xroblot xroblot removed the awaiting-author A reviewer has asked the author a question or requested changes. label Apr 3, 2026
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