← Session 22 — ii′-1: liCoeff pairing fix + residue machinery
thinking (452 chars)
EXIT 0 — the file compiles (the "Try this: ring_nf" was a suggestion attached to a warning — the push_cast-does-nothing warning at 960). Let me remove that useless push_cast and confirm clean, then commit. Then the remaining work for piece (A):
- the affine comp (iteratedDeriv of digamma((1+s)/2) at 0 = (1/2)^j · digamma^{(j)}(1/2))
- the final τ_j assembly in LiArchimedean.lean.
Let me remove the no-op push_cast and check exit clean, then commit.
Exit 0. Removing the no-op push_cast warning, then committing.
tool: Read ok
input
{
"file_path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiDigamma.lean",
"offset": 955,
"limit": 20
}
result 2026-08-22 10:31:15Z → 2026-08-22 10:31:15Z
{
"type": "text",
"file": {
"filePath": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiDigamma.lean",
"content": " rw [lagariasA, if_neg hj1]\n push_cast\n congr 1\n apply tsum_congr\n intro m\n push_cast\n have hexp : (-(j : \u2124) - 1 : \u2124) = -(((j + 1 : \u2115) : \u2124)) := by push_cast; ring\n rw [hexp]\n rw [show (((m : \u2115) : \u2102)) ^ (-(((j + 1 : \u2115) : \u2124))) = ((((m : \u2115) : \u2102) ^ (j + 1))\u207b\u00b9) from by\n rw [zpow_neg, zpow_natCast]]\n rw [one_div_pow, inv_eq_one_div]",
"numLines": 11,
"startLine": 955,
"totalLines": 965
}
}
raw content_json (database row)
[{"type":"thinking","thinking":"EXIT 0 — the file compiles (the \"Try this: ring_nf\" was a suggestion attached to a warning — the push_cast-does-nothing warning at 960). Let me remove that useless push_cast and confirm clean, then commit. Then the remaining work for piece (A):\n- the affine comp (iteratedDeriv of digamma((1+s)/2) at 0 = (1/2)^j · digamma^{(j)}(1/2))\n- the final τ_j assembly in LiArchimedean.lean.\n\nLet me remove the no-op push_cast and check exit clean, then commit.","signature":""},{"type":"text","text":"Exit 0. Removing the no-op push_cast warning, then committing."},{"type":"tool_use","id":"Read_527","name":"Read","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiDigamma.lean","offset":955,"limit":20},"extra_content":null}]