face_monochromatic_pairs: Heawood numbers, Lemma 5.2 + diagram
- Add Definition 3.1 "Heawood number of a vertex" (+1 if CW colour order is (1,2,3), -1 if (1,3,2)) and cite Heawood 1898 in the bibliography. - Add Lemma 5.2 "Heawood number is constant on the Kempe cycles through the merged edge", positioned immediately after Conjecture 5.1. Its proof exhibits a (F, e_1, e_2) witness for clauses (1)-(3) of the conjecture from any pair (v_0, v_1) of consecutive K-vertices with differing Heawood signs, by cases on whether phi(e) = a or b. The proof does not invoke Conjecture 5.3 or Theorem 4.X. - Add a two-panel figure illustrating Case A (b-edges on F_R when phi(e) = a) and Case B (a-edges on F_L when phi(e) = b), with the cyclic colour orders (a, b, c) at v_0 and (a, c, b) at v_1 visible from the angular layout. Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
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