← Session 32 — ii′-3b start: capstone axiom audit + moments
thinking (2340 chars)
The user wants an explicit dependency audit on the capstone theorem `logDeriv_riemannZeta_sub_nearZeros_le_tight`:
1. Run `#print axioms logDeriv_riemannZeta_sub_nearZeros_le_tight`
2. Record the exact perimeter parameters.
Per STATE.md handoff notes:
- LEAN: elan 4.2.3 at ~/.elan/bin (export PATH per shell); toolchain v4.33.0-rc2; NguyenRH1 at research/lean/NguyenRH1 with path requires.
- Iterate single-file with `lake env lean NguyenRH1/LiTightR.lean` from the package dir; `lake build NguyenRH1.LiTightR` to produce the olean for cross-file imports.
- LONG RUNS: DETACHED + sandbox DISABLED + log file; poll. For lake: SINGLE command per detached spawn; short PrintAxioms in foreground.
So a short PrintAxioms script can run in foreground. LiTightR.lean is NOT yet root-imported (per STATE.md), so the print-axioms script needs to import NguyenRH1.LiTightR directly. Since the olean exists (build is green at 8762 jobs — but was LiTightR built as part of that? STATE.md says "full build GREEN (8762 jobs)" and "LiTightR.lean (~4300 lines, NOT yet root-imported — import it from the root at ii′-3b or ii′-6)". The audits session036/036b were run, so presumably the olean for LiTightR exists via `lake build NguyenRH1.LiTightR` or via `lake env lean`.
Let me first look at how previous audit scripts were set up. There are files like audit-session036-axioms.txt mentioned. Let me check the lean directory structure to find the pattern used for audits.
Plan:
1. Look at the NguyenRH1 package directory to find existing audit scripts (e.g., PrintAxioms.lean or similar).
2. Create a small audit file (or use existing pattern) with `#print axioms logDeriv_riemannZeta_sub_nearZeros_le_tight` and also print the statement/type to record the exact perimeter parameters.
3. Run it with `lake env lean` in foreground.
4. Record the output to a file (e.g., research/lean audits folder) and report to the user.
Also "record ... the exact perimeter parameters" — the perimeter hypotheses are:
- (hZC : ZeroCountProp)
- (hZC2 : ZeroCountProp2)
- (hNLZ : NoLowZeros)
I should print the exact definitions of these too — ZeroCountProp, ZeroCountProp2, NoLowZeros — so the audit records their exact statements. Perhaps use `#print` on those definitions or `#check` the theorem to show its full signature.
Let me explore the Lean package first.
I'll audit the capstone. First, let me check the existing audit script pattern in the Lean package.
tool: Bash
input
{
"command": "ls D:/Python/Quantum/research/lean/NguyenRH1/ && ls D:/Python/Quantum/research/lean/NguyenRH1/NguyenRH1/ 2>/dev/null | head -30",
"description": "List Lean package structure"
}
tool: Grep
input
{
"pattern": "logDeriv_riemannZeta_sub_nearZeros_le_tight",
"path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1",
"output_mode": "files_with_matches"
}
raw content_json (database row)
[{"type":"thinking","thinking":"The user wants an explicit dependency audit on the capstone theorem `logDeriv_riemannZeta_sub_nearZeros_le_tight`:\n1. Run `#print axioms logDeriv_riemannZeta_sub_nearZeros_le_tight`\n2. Record the exact perimeter parameters.\n\nPer STATE.md handoff notes:\n- LEAN: elan 4.2.3 at ~/.elan/bin (export PATH per shell); toolchain v4.33.0-rc2; NguyenRH1 at research/lean/NguyenRH1 with path requires.\n- Iterate single-file with `lake env lean NguyenRH1/LiTightR.lean` from the package dir; `lake build NguyenRH1.LiTightR` to produce the olean for cross-file imports.\n- LONG RUNS: DETACHED + sandbox DISABLED + log file; poll. For lake: SINGLE command per detached spawn; short PrintAxioms in foreground.\n\nSo a short PrintAxioms script can run in foreground. LiTightR.lean is NOT yet root-imported (per STATE.md), so the print-axioms script needs to import NguyenRH1.LiTightR directly. Since the olean exists (build is green at 8762 jobs — but was LiTightR built as part of that? STATE.md says \"full build GREEN (8762 jobs)\" and \"LiTightR.lean (~4300 lines, NOT yet root-imported — import it from the root at ii′-3b or ii′-6)\". The audits session036/036b were run, so presumably the olean for LiTightR exists via `lake build NguyenRH1.LiTightR` or via `lake env lean`.\n\nLet me first look at how previous audit scripts were set up. There are files like audit-session036-axioms.txt mentioned. Let me check the lean directory structure to find the pattern used for audits.\n\nPlan:\n1. Look at the NguyenRH1 package directory to find existing audit scripts (e.g., PrintAxioms.lean or similar).\n2. Create a small audit file (or use existing pattern) with `#print axioms logDeriv_riemannZeta_sub_nearZeros_le_tight` and also print the statement/type to record the exact perimeter parameters.\n3. Run it with `lake env lean` in foreground.\n4. Record the output to a file (e.g., research/lean audits folder) and report to the user.\n\nAlso \"record ... the exact perimeter parameters\" — the perimeter hypotheses are:\n- (hZC : ZeroCountProp)\n- (hZC2 : ZeroCountProp2)\n- (hNLZ : NoLowZeros)\n\nI should print the exact definitions of these too — ZeroCountProp, ZeroCountProp2, NoLowZeros — so the audit records their exact statements. Perhaps use `#print` on those definitions or `#check` the theorem to show its full signature.\n\nLet me explore the Lean package first.","signature":""},{"type":"text","text":"I'll audit the capstone. First, let me check the existing audit script pattern in the Lean package."},{"type":"tool_use","id":"Bash_2","name":"Bash","input":{"command":"ls D:/Python/Quantum/research/lean/NguyenRH1/ && ls D:/Python/Quantum/research/lean/NguyenRH1/NguyenRH1/ 2>/dev/null | head -30","description":"List Lean package structure"},"extra_content":null},{"type":"tool_use","id":"Grep_3","name":"Grep","input":{"pattern":"logDeriv_riemannZeta_sub_nearZeros_le_tight","path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1","output_mode":"files_with_matches"},"extra_content":null}]