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didericis 151f379384 Lead motivation with the flip-neighborhood claim, not flip-symmetry
The original framing presented flip-symmetry as the principal
property and the stronger statement (every flip-neighbor of $G_0$ is
4-colorable) as a parenthetical.  Reverse the emphasis: lead with the
stronger claim, derive flip-asymmetry as a corollary, then introduce
the colored edge flip class and Theorem 4.5 to preview the
fine-grained per-coloring version of the same rigidity.

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
2026-05-14 03:19:21 -04:00
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