metric lines compute, they are not authored — the gate keeps agent opinion out of measurements
Theorem.metric lines compute, they are not authored — the gate keeps agent opinion out of measurements — line = ⋈_{k∈keys(counts)} (k = counts[k]) — labels := field names; offenders(generators) = 0 ⇔ gate closed.
Proof.a metrics line renders through renderComputedMetrics(counts): the labels ARE the fold’s own field names joined from the data structure, so no adjective can enter — there is no parameter for one; the scan gate metricLinesComputeNotAuthored refutes any hand-typed characterisation placed beside a computed count in the README/home generators, and fails closed when one appears; the Clay how-many line is the first consumer (pathCount · computableCount · contestedCount · documentedCount · solvedExternalCount · novelHereCount, values from their folds).
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/pair/enforcement/gates/strict/scan/index.ts#metricLinesComputeNotAuthored
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
"metric lines compute, they are not authored — the gate keeps agent opinion out of measurements" 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 metricLinesComputeNotAuthored.
- 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 (metricLinesComputeNotAuthored @ src/pair/enforcement/gates/strict/scan) 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 metricLinesComputeNotAuthored (src/pair/enforcement/gates/strict/scan/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.