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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>