Message #2208 · Riemann Hypothesis Research

← Session 35 — ii′-6-R: Lagarias 6.1 right-tail re-proof (E-032/D-073)

#2208 assistant 2026-08-26 11:38:46.937 UTC · 296→731 tok open ⤢

thinking (2529 chars)

The `set_option` before `theorem` — "unexpected token 'set_option'; expected 'lemma'" — the set_option must go before the doc comment or the declaration needs `lemma`/`theorem` keyword after. The issue: `set_option maxHeartbeats 800000 in theorem marginTilde_convex ...` — the parser expected 'lemma'?? — because the doc comment `/-- ... -/` is between set_option and theorem?? — my edit put set_option BEFORE the doc comment? — no, looking at my edit, I put `set_option maxHeartbeats 800000 in` right before `theorem marginTilde_convex` — but there's a doc comment `/-- [PROVED session 011] Margin convexity ... -/` BEFORE the theorem — the set_option line was inserted between the doc comment and the theorem — that's valid (set_option ... in theorem). The error at 2175:54 — col 54 — "unexpected token 'set_option'; expected 'lemma'" — hmm — maybe the doc comment got mangled: the set_option was placed AFTER the doc comment but the parser sees `set_option` where it expected the declaration start... — actually the issue is that `set_option ... in` followed by `theorem` is valid, but if there's a doc comment, the structure `/-- doc -/ set_option ... in theorem X` is fine. The error "expected 'lemma'" suggests the parser is in a state where after a doc comment it expects `lemma`/`theorem` but found `set_option` — meaning the set_option came AFTER the doc comment but the parser treats the doc comment as attached to nothing yet, and `set_option ... in theorem` should work... Hmm — actually in Lean 4, `set_option opt val in declaration` is a command-level `in` modifier — the sequence is `set_option ... in theorem` — but the doc comment attaches to the theorem. If I have: ``` /-- doc -/ set_option maxHeartbeats 800000 in theorem X ... ``` The parser sees the doc comment, then `set_option` — and complains "expected 'lemma'" — because after a doc comment, the elaborator expects a declaration keyword (theorem/lemma/def) DIRECTLY, and `set_option ... in` is NOT allowed between a doc comment and its declaration?! — the `set_option ... in` modifier must come BEFORE the doc comment, or the doc comment goes after the `in`. The iimaj_bracket_bound has `set_option maxHeartbeats 800000 in` BEFORE its doc comment: ``` set_option maxHeartbeats 800000 in /-- [PROVED session 011] ... -/ theorem iimaj_bracket_bound ... ``` ✓ that's the valid form (set_option first, then doc, then theorem). For marginTilde_convex, I put set_option between the doc and the theorem — invalid. Fix: move set_option before the doc comment.

The `set_option` must go before the doc comment, not between it and the theorem.

tool: Read ok

input

{
  "file_path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiSkeleton.lean",
  "offset": 2165,
  "limit": 18
}

result 2026-08-26 11:38:47Z → 2026-08-26 11:38:47Z

{
  "type": "text",
  "file": {
    "filePath": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiSkeleton.lean",
    "content": "\n/-- [PROVED session 011] Margin convexity (D-057, draft \u00a73.1 Step 4):\nfor any twice-differentiable majorant F of the zero count N(0,T] whose\n\u03c8-block \u03c8[F](T) = F\u2033(T) \u2212 F\u2032(T)/(T\u22121) is negative for T \u2265 \u221a20 + 1\n(the D-057 11-block table discharges this for the explicit Trudgian\nmajorant), the margin majorant margin\u0303 is convex on [20, \u221e).\nProof: margin\u0303\u2033(n) = 1/(2n) \u2212 2\u03c8_F/(4n) \u2212 \u03a3w\u1d62\u03c8\u1d62/(4n) \u2212 IIMaj\u2033(n)\n\u2265 1/(2n) \u2212 IIMaj\u2033(n) > 0 (every \u03c8 < 0 by the block table;\nIIMaj\u2033 < 1/(2n) by IIMaj_deriv2_lt).\nTogether with margin\u0303(8\u00d710\u2074) = 16 020 > 0 and margin\u0303\u2032(8\u00d710\u2074) > 0\n(E-028/E-029) this gives margin > 0 on [8\u00d710\u2074, N\u2081]. -/\nset_option maxHeartbeats 800000 in\ntheorem marginTilde_convex (F : \u211d \u2192 \u211d) (hF : ContDiffOn \u211d 2 F (Set.Ioi 1))\n    (h\u03c8 : \u2200 T : \u211d, Real.sqrt 20 + 1 \u2264 T \u2192\n      deriv (deriv F) T - deriv F T / (T - 1) < 0) :\n    ConvexOn \u211d (Set.Ici 20) (marginTilde F) := by\n  have hCDfull : ContDiffOn \u211d 2 (marginTilde F) (Set.Ioi 20) := by\n    rw [marginTilde_eq_expanded F]",
    "numLines": 18,
    "startLine": 2165,
    "totalLines": 2805
  }
}

raw content_json (database row)

[{"type":"thinking","thinking":"The `set_option` before `theorem` — \"unexpected token 'set_option'; expected 'lemma'\" — the set_option must go before the doc comment or the declaration needs `lemma`/`theorem` keyword after. The issue: `set_option maxHeartbeats 800000 in theorem marginTilde_convex ...` — the parser expected 'lemma'?? — because the doc comment `/-- ... -/` is between set_option and theorem?? — my edit put set_option BEFORE the doc comment? — no, looking at my edit, I put `set_option maxHeartbeats 800000 in` right before `theorem marginTilde_convex` — but there's a doc comment `/-- [PROVED session 011] Margin convexity ... -/` BEFORE the theorem — the set_option line was inserted between the doc comment and the theorem — that's valid (set_option ... in theorem). The error at 2175:54 — col 54 — \"unexpected token 'set_option'; expected 'lemma'\" — hmm — maybe the doc comment got mangled: the set_option was placed AFTER the doc comment but the parser sees `set_option` where it expected the declaration start... — actually the issue is that `set_option ... in` followed by `theorem` is valid, but if there's a doc comment, the structure `/-- doc -/ set_option ... in theorem X` is fine. The error \"expected 'lemma'\" suggests the parser is in a state where after a doc comment it expects `lemma`/`theorem` but found `set_option` — meaning the set_option came AFTER the doc comment but the parser treats the doc comment as attached to nothing yet, and `set_option ... in theorem` should work...\n\nHmm — actually in Lean 4, `set_option opt val in declaration` is a command-level `in` modifier — the sequence is `set_option ... in theorem` — but the doc comment attaches to the theorem. If I have:\n```\n/-- doc -/\nset_option maxHeartbeats 800000 in\ntheorem X ...\n```\nThe parser sees the doc comment, then `set_option` — and complains \"expected 'lemma'\" — because after a doc comment, the elaborator expects a declaration keyword (theorem/lemma/def) DIRECTLY, and `set_option ... in` is NOT allowed between a doc comment and its declaration?! — the `set_option ... in` modifier must come BEFORE the doc comment, or the doc comment goes after the `in`. The iimaj_bracket_bound has `set_option maxHeartbeats 800000 in` BEFORE its doc comment:\n```\nset_option maxHeartbeats 800000 in\n/-- [PROVED session 011] ... -/\ntheorem iimaj_bracket_bound ...\n```\n✓ that's the valid form (set_option first, then doc, then theorem). For marginTilde_convex, I put set_option between the doc and the theorem — invalid. Fix: move set_option before the doc comment.","signature":""},{"type":"text","text":"The `set_option` must go before the doc comment, not between it and the theorem."},{"type":"tool_use","id":"Read_585","name":"Read","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiSkeleton.lean","offset":2165,"limit":18},"extra_content":null}]