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LeanPool.BrillNoetherGraphs.Bananas.Classification.CorrectedBananaTorsion

Corrected high-genus banana torsion dichotomy #

This is the one remaining non-Section-6 input to the corrected Corollary 6.4. The paper's exceptional family is corrected here: one of the two marked midpoint strands need only have length two; the other may have any even length.

The completed corrected Theorem 3.9 gives the first reduction for Proposition 4.19: all-divisor submodularity forces one of its explicit endpoint-aware exceptional families.

Corrected Proposition 4.19 (prop-bananTorsion).

Outside the corrected midpoint family, every exact torsion order compatible with all-divisor submodularity is at least the genus. The proof combines the completed Theorem 3.9 classification with the endpoint and near-opposite slope bounds and the reduced-divisor midpoint lemma lem-midpointTorsion. The statement is deliberately separate from the Section 6 assembly so that no later theorem can silently use an unrecorded classification assumption.