M₁₂ is simple
Theorem.M₁₂ is simple — closure of three generators = 95040 = 12·11·10·9·8 (sharp 5-transitivity validates them), 15 classes;.
Proof.closure of three generators = 95040 = 12·11·10·9·8 (sharp 5-transitivity validates them), 15 classes; the bare class-sum filter FALSE-ALARMS (5 coincidental divisor-subsets) and each is refuted by an explicit escaping product — the first sporadic group in-registry; order-uniqueness cited.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/thunder/verify/index.ts#discoveredTheoremsWaveSixteen
1 · Classification
finite-complete — computed witness within a cited frame (the unbounded form leans on the cited literature)
2 · Provenance
Documented theorem re-derived by exhaustive computation (humanityNovel=false); first-in-this-registry is the only sense of discovered.
Acknowledgment
"M₁₂ is simple" 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 discoveredTheoremsWaveSixteen.
- 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 (discoveredTheoremsWaveSixteen @ src/thunder/verify) 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 discoveredTheoremsWaveSixteen (src/thunder/verify/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.