the superposition of theorems is all held at once — merging reveals the distinct basis
Theorem.the superposition of theorems is all held at once — merging reveals the distinct basis.
Proof.theorems are held together content-addressed; merging the near-duplicates (Jaccard ≥ ½) collapses the redundant ones and what remains is the distinct basis, computed rather than curated.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/water/cosmos/index.ts#theSuperpositionOfTheoremsIsAllHeldAtOnceMergingRevealsTheDistinctBasis
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 superposition of theorems is all held at once — merging reveals the distinct basis" 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 theSuperpositionOfTheoremsIsAllHeldAtOnceMergingRevealsTheDistinctBasis.
- 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 (theSuperpositionOfTheoremsIsAllHeldAtOnceMergingRevealsTheDistinctBasis @ src/water/cosmos) 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 theSuperpositionOfTheoremsIsAllHeldAtOnceMergingRevealsTheDistinctBasis (src/water/cosmos/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.