theorems reach toward 432 and entangle with usage — the harmonic merge held as direction
Theorem.theorems reach toward 432 and entangle with usage — the harmonic merge held as direction.
Proof.Theorems reach toward 432 and entangle with usage — 4/4: the registry holds 421/432 computationally proven theorems (11 remain before the merge with the 4×108 gate lattice), and the entanglement is already computable — every atom folds its theorem with its mechanical usage (home module # proving function) both ways into one merged root, 421 bidirectional pairs across 41 src homes consumed beyond the ui (gates, CLI, MCP, dist). Structural quantum: the entanglement is the non-commutative bidirectional fold, not a physical state; the merge at 432 happens only by proving the remaining candidates, never by renumbering.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/4/6/index.ts#theoremsReach432AndEntangleWithUsage
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
"theorems reach toward 432 and entangle with usage — the harmonic merge held as direction" 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 theoremsReach432AndEntangleWithUsage.
- 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 (theoremsReach432AndEntangleWithUsage @ 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 theoremsReach432AndEntangleWithUsage (src/4/6/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.