# 20 | Adversarial Referee Verdict

## Verdict

Following a source-by-source audit, the main proof router of v0.3 was not invalidated.

However, the referee did catch a citation error:

$$
\boxed{
\text{Miller ``most''}\neq\text{all conductor}<5000.
}
$$

This is fixed by Creutz–Miller Theorem 1.1.

There are currently no known mathematical branch gaps remaining.

Therefore, the claim level is upgraded from:

```text
PROVISIONAL DERIVED FAMILY THEOREM
```

to:

```text
DERIVED THEOREM CANDIDATE
```

but not upgraded to:

```text
NEW THEOREM
```

because novelty is a separate, independent Gate.

---

# Referee principles

This round strictly distinguishes between:

1. theorem statement;
2. source-author remark;
3. our derived lemma;
4. LMFDB arithmetic certificate;
5. numerical sanity check;
6. novelty inference.

If any item lacks source support, the next layer cannot be used to patch the gap.