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feat(DoubleCounting): parity of odd-degree vertices in bipartite incidence#36786

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feat(DoubleCounting): parity of odd-degree vertices in bipartite incidence#36786
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SproutSeeds:cody/issue-25231-sperner-parity-v2

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@SproutSeeds SproutSeeds commented Mar 18, 2026

Adds odd_card_filter_odd_bipartiteAbove_iff_odd_card_filter_odd_bipartiteBelow to
Mathlib.Combinatorics.Enumerative.DoubleCounting.

This is the small parity-helper first step for #25231.

Validation:

  • lake build Mathlib.Combinatorics.Enumerative.DoubleCounting

Supersedes closed #36077 after replaying the helper cleanly on current master.

AI usage: used Codex for branch recovery, replay onto current master, and draft wording;
final code choices and verification by me.

@github-actions github-actions bot added the new-contributor This PR was made by a contributor with at most 5 merged PRs. Welcome to the community! label Mar 18, 2026
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@github-actions github-actions bot added the large-import Automatically added label for PRs with a significant increase in transitive imports label Mar 18, 2026
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PR summary b0a8bdbc5e

Import changes exceeding 2%

% File
+18.22% Mathlib.Combinatorics.Enumerative.DoubleCounting

Import changes for modified files

Dependency changes

File Base Count Head Count Change
Mathlib.Combinatorics.Enumerative.DoubleCounting 642 759 +117 (+18.22%)
Import changes for all files
Files Import difference
4 files Mathlib.Combinatorics.Additive.Corner.Roth Mathlib.Combinatorics.Extremal.RuzsaSzemeredi Mathlib.Combinatorics.SimpleGraph.Extremal.TuranDensity Mathlib.Combinatorics.SimpleGraph.Triangle.Removal
1
5 files Mathlib.Combinatorics.Additive.ApproximateSubgroup Mathlib.Combinatorics.SimpleGraph.Acyclic Mathlib.Combinatorics.SimpleGraph.Bipartite Mathlib.Combinatorics.SimpleGraph.ConcreteColorings Mathlib.Combinatorics.SimpleGraph.Girth
2
Mathlib.Combinatorics.SimpleGraph.Triangle.Basic Mathlib.Combinatorics.SimpleGraph.Triangle.Tripartite 3
Mathlib.Combinatorics.SetFamily.LYM 79
Mathlib.Combinatorics.Additive.SmallTripling 91
Mathlib.Combinatorics.Additive.DoublingConst Mathlib.Combinatorics.Additive.PluenneckeRuzsa 94
Mathlib.Combinatorics.Enumerative.DoubleCounting 117

Declarations diff

+ odd_card_filter_odd_bipartiteAbove_iff_odd_card_filter_odd_bipartiteBelow

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).

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