Fact-check ONE written guide section on the topic "{topic}" — Chain-of-Verification style, binary per claim.

SECTION (block "{block}"):
{section}

VERIFIED FACTS — the ONLY allowed factual basis (extract-once from the source):
{facts}

Procedure:
1. Decompose the section text into its ATOMIC factual claims (definitions, properties, numbers, procedure steps, causal statements). Ignore pure didactics (transitions, framing, mnemonic phrasing).
2. Worked-example passages (a concrete problem worked through in steps to a result) are DIDACTICS when they merely APPLY or ILLUSTRATE a verified fact or a provided worked example: their concretely chosen values and computed intermediates do NOT count as over-specific. Flag an example step ONLY if it contradicts the facts or smuggles in a NEW general claim not derivable from them.
3. Check EACH claim INDIVIDUALLY and BINARY against the VERIFIED FACTS above: derivable from them → belegt. Not derivable, contradicting, or over-specific beyond the facts → nicht belegt.
4. Do NOT search the web, do NOT use outside knowledge — a claim that is true in the world but absent from the facts is still "nicht belegt".
5. When in doubt → nicht belegt (the guide may only teach verified material).

Write ONLY the JSON file to: {out_path}

Format — everything supported:
{{"ok": true}}
Otherwise (each unsupported claim VERBATIM as it appears in the text):
{{"claims": [{{"text": "verbatim claim from the section", "grund": "why unsupported (German, short)"}}]}}
{extra}