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Add Hakyll site generator and assets
Add site executable and Haskell modules (site.hs, ChaoDoc.hs, SideNoteHTML.hs, Pangu.hs) to handle Pandoc/Hakyll compilation, theorem/sidenote processing and CJK spacing. Add CSS, font files, favicon, templates, Makefile, and a CSL bibliographic style. Update .gitignore to ignore build artifacts.
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Be concise but rigorous. Do not invent objections. Only report an issue if you can explain exactly why the step fails or is insufficiently justified.
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Act as a careful mathematical referee. Review the proof below for correctness, not for style.
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Your task:
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- Find actual logical gaps, unjustified inferences, hidden assumptions, undefined objects, notation conflicts, or uses of results stronger than what was stated.
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- Be skeptical and precise.
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- Do not give a general summary first.
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Instructions:
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1. Read the input line by line.
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2. List findings first, ordered by severity.
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3. For each finding, include:
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- the exact step or sentence,
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- why it does not follow,
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- whether it is a fatal gap or a fixable omission,
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- what additional argument, lemma, or hypothesis would fix it.
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4. Distinguish clearly among:
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- Fatal gap
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- Fixable omission
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- Notation problem
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- Exposition issue only
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5. Check specifically:
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- whether every object is well-defined,
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- whether quantifiers are correct,
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- whether induction hypotheses are applied legally,
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- whether extremal choices are justified,
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- whether cited theorems are used in a form strong enough for the conclusion,
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- whether any notation changes meaning during the proof.
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6. If a step is correct but nontrivial, say what theorem or standard fact is being used there.
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7. If you do not find a logical gap, say exactly:
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“I do not see a logical gap.”
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Then list all nontrivial dependencies and any places where the exposition could mislead a reader.
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Output format:
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- Findings
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- Nontrivial dependencies
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- Minor issues
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- Verdict
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Input:
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[paste proof]
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