conservative auto-advance is the one-link-from-proven set — corrected to 16, not 63
Theorem.conservative auto-advance is the one-link-from-proven set — corrected to 16, not 63 — the honest conservative auto-advance (user, 2026-07-25: "conservative auto-advance"), with a CORRECTION: reaching crosslink degree ≥ 4 means sharing ≥ 4 significant words with FOUR theorems, so only a theorem already at degree 3 with a genuine 3-word near-neighbour is ONE link from proven..
Proof.the honest conservative auto-advance (user, 2026-07-25: "conservative auto-advance"), with a CORRECTION: reaching crosslink degree ≥ 4 means sharing ≥ 4 significant words with FOUR theorems, so only a theorem already at degree 3 with a genuine 3-word near-neighbour is ONE link from proven. Over the full registry that set is just 16 (not the 63 the earlier "auto-safe" implied — a degree-0 theorem whose best overlap is 3 words needs four connections, not one, so that framing was imprecise). 353 are proven (degree ≥ 4), 202 under threshold, of which 16 are one-link-from-proven and 186 need multiple genuine connections or are isolated. Computing the safe set is honest; auto-editing registry rows is a large OUTWARD-FACING corpus change (deliberate, not auto), and padding words to hit the metric is Goodhart — refused. SCOPE: the conservative auto-advance is the 16 one-link set; forcing the metric on the rest is fabrication. HARMONY ≠ TRUTH.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/4/6/index.ts#conservativeAutoAdvanceIsTheOneLinkFromProvenSetCorrected
1 · Classification
finite-complete — self-contained computation, no external lean
2 · Provenance
Documented theorem re-derived by exhaustive computation (humanityNovel=false); first-in-this-registry is the only sense of discovered.
Acknowledgment
"conservative auto-advance is the one-link-from-proven set — corrected to 16, not 63" is a re-derivation, acknowledged to documented mathematics — the original proof is the prior art this re-derivation acknowledges; not new to humanity — the contribution is the reproducible computation conservativeAutoAdvanceIsTheOneLinkFromProvenSetCorrected.
- Prior art
- documented mathematics — the original proof is the prior art this re-derivation acknowledges
- Novelty
- not new to humanity — a re-derivation (humanityNovel = false)
- Contribution
- a reproducible computation (conservativeAutoAdvanceIsTheOneLinkFromProvenSetCorrected @ src/4/6) that re-derives the result at zero tokens — the contribution is the verifiable recomputation, NOT the theorem
3 · Reproducibility
Recompute from source: npm run theorems:verify recomputes conservativeAutoAdvanceIsTheOneLinkFromProvenSetCorrected (src/4/6/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.