The disjoint minds' work fuses into one corpus by the merkle union — no theorem escapes
Theorem.The disjoint minds' work fuses into one corpus by the merkle union — no theorem escapes.
Proof.. Each of the 3 minds owns a disjoint share (rosettaOwner) [11, 13, 8], and the shares merkle-fold to one corpus root; the union is complete (every one of the 32 theorems in exactly one share, none missing), so a theorem left out would flip the root — it cannot escape. The fusion is content-addressed and recomputes ide.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/heaven/core/index.ts#theDisjointMindsWorkFusesIntoOneCorpusByTheMerkleUnionSoNoTheoremEscapes
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
"The disjoint minds' work fuses into one corpus by the merkle union — no theorem escapes" 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 theDisjointMindsWorkFusesIntoOneCorpusByTheMerkleUnionSoNoTheoremEscapes.
- 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 (theDisjointMindsWorkFusesIntoOneCorpusByTheMerkleUnionSoNoTheoremEscapes @ src/heaven/core) 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 theDisjointMindsWorkFusesIntoOneCorpusByTheMerkleUnionSoNoTheoremEscapes (src/heaven/core/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.