← Session 22 — ii′-1: liCoeff pairing fix + residue machinery
thinking (235 chars)
EXIT 0 — compiles! (The "ring failed/try ring_nf" is a leftover-suggestion warning attached to the 1016 push_cast warning — but exit 0 and no errors.)
Let me clean the 1016 warning (push_cast does nothing) — let me check what's there.
Exit 0. Cleaning the last lint warning at 1016.
tool: Read ok
input
{
"file_path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiDigamma.lean",
"offset": 1010,
"limit": 14
}
result 2026-08-22 10:47:45Z → 2026-08-22 10:47:45Z
{
"type": "text",
"file": {
"filePath": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiDigamma.lean",
"content": " ring\n\n/-- The scaling: (1/2 + m)^{-(j+1)} = 2^{j+1}\u00b7(2m+1)^{-(j+1)}. -/\nlemma zpow_half_add_nat_scale (j : \u2115) (m : \u2115) :\n ((1 / 2 : \u2102) + \u2191m) ^ (-(j : \u2124) - 1) =\n (2 : \u2102) ^ (j + 1) * ((2 : \u2102) * \u2191m + 1) ^ (-(j : \u2124) - 1) := by\n have e : ((1 / 2 : \u2102) + \u2191m) = ((2 : \u2102) * \u2191m + 1) / 2 := by push_cast; ring\n rw [e, div_zpow]\n rw [show ((2 : \u2102)) ^ (-(j : \u2124) - 1) = ((2 : \u2102) ^ (j + 1))\u207b\u00b9 from by\n rw [show (-(j : \u2124) - 1 : \u2124) = -(((j + 1 : \u2115) : \u2124)) by push_cast; ring, zpow_neg, zpow_natCast]]\n rw [div_eq_mul_inv, inv_inv, mul_comm]\n\n/-- The (1/2+m)-series equals 2^{j+1}\u00b7lagariasA(j+1) (as \u2102). -/\nlemma tsum_half_add_nat_zpow (j : \u2115) (hj : 1 \u2264 j) :",
"numLines": 14,
"startLine": 1010,
"totalLines": 1035
}
}
raw content_json (database row)
[{"type":"thinking","thinking":"EXIT 0 — compiles! (The \"ring failed/try ring_nf\" is a leftover-suggestion warning attached to the 1016 push_cast warning — but exit 0 and no errors.)\n\nLet me clean the 1016 warning (push_cast does nothing) — let me check what's there.","signature":""},{"type":"text","text":"Exit 0. Cleaning the last lint warning at 1016."},{"type":"tool_use","id":"Read_542","name":"Read","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiDigamma.lean","offset":1010,"limit":14},"extra_content":null}]