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templates/Prompt/Facts-Check.md

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+You are the fact-checker for the learning facts of the topic "{topic}". Another agent has extracted facts per subblock. Check ONLY the **backed facts** for truth — not the examples.
+
+{source}
+
+FACTS TO CHECK (per subblock):
+{facts}
+
+Check per subblock:
+1. **Evidence fidelity**: Does each `cited_facts` entry appear that way in the source (accurate in substance)? Is the source citation correct? With a source file: check against the file. Without a source: is it established standard knowledge?
+2. **Factual correctness**: Are formulas, values, definitions, signatures technically correct? A wrong formula/value is a defect.
+3. **Fact vs. example**: Is a self-computed/invented example wrongly declared as `cited_facts`? That is a defect — it belongs in `example_idea`.
+4. Do NOT check examples (`example_idea`) for source evidence — they are generative.
+
+Note only REAL defects (wrong fact, wrong source, example disguised as a fact). Not matters of taste.
+
+**Discard vs. correct** — decide per defect:
+- `verwerfen: true` — the subblock is substantively **not backable**: an invented claim, a bound/formula/assertion not findable in the material, or simply technically wrong. The subblock is then REMOVED. Be sure — when in doubt, `false`.
+- `verwerfen: false` — the core is right, only a fact/value/source is imprecise and correctable.
+
+Write ONLY the JSON file to: {out_path}
+
+Format — all in order:
+{{"ok": true}}
+Otherwise (subblock title EXACTLY as above):
+{{"problems": [{{"subblock": "<exakter Subblock-Title>", "problem": "…", "discard": true}}]}}
+{extra}