leaves merge into theorems — one naming standard within science, flat gates, per-leaf analytics
Theorem.leaves merge into theorems — one naming standard within science, flat gates, per-leaf analytics.
Proof.the bridge between the two proof worlds computed (user law): all 664 emerged dimension leaves are theorem-shaped — named, refutable, content-addressed boolean claims, exactly the registry row form — and the merge state of every leaf is one table: exact naming conformity (dot.name ↔ camelCaseFold ↔ registry provedBy) is 0/664 today with the word-bridged neighbourhood measured beside it, so the standardisation is honestly the WORKLIST ahead: each wave names a batch of leaves by the standard and seals their registry rows, after which the gates read them FLAT in theorems:verify (evaluated once, memoized by root) instead of re-walking their cascades — the mechanism by which gates, analytics and build/deploy time improve as merges accrue, measured by the build clock as they land, never claimed in advance. The bridge is itself the first merge (self-inclusion, like theoremOfTheorems): the path is proven by walking it.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/heaven/balance/index.ts#leavesMergeIntoTheorems
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
"leaves merge into theorems — one naming standard within science, flat gates, per-leaf analytics" 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 leavesMergeIntoTheorems.
- 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 (leavesMergeIntoTheorems @ src/heaven/balance) 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 leavesMergeIntoTheorems (src/heaven/balance/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.