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Formalize theorem: for a_{n+1} = c_1*a_n + c_2*a_{n-1}:
gcd(a_n, a_{n+1}) = 1 for all n >= 1
iff
gcd(a_1, a_2) = gcd(a_2, c_2) = gcd(c_1, c_2) = 1
Key identity: gcd(a_n, a_{n+1}) = gcd(a_n, c_2*a_{n-1})
Invariant core: gcd(a_n, a_{n+1}) = gcd(a_n, c_2) when prev coprime
5 distinct recurrences, 30 native_decide theorems verified.
Maps directly to: state flow + gate + hidden history channel + leakage failure.
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| external/OTOM | ||
| LeanGPT | ||
| Semantics | ||
| CHAIN_ALL_REVIEW_REPORT.md | ||