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← Session 27 — ii′-5c/5d: Davenport disc + FE-reflection bounds

#1374 assistant 2026-08-23 06:02:03.283 UTC · 295→513 tok open ⤢
thinking (411 chars)
§0–§5 compile clean (only the unused-simp-arg warnings remain). The capstone `logDeriv_riemannZeta_sub_nearZeros_le_left` is proved. Let me clean up the unused simp args (warnings at 332/336), then move to §6 (the left-plane digamma bound). The warnings were at lines 332/336 — the hre/him simp calls in one_sub_mem_nearZeros_neg: unused args neg_im, one_im (line 332) and neg_re, one_re (line 336). Trim them.
§0–§5 compile clean. Trimming the unused simp args, then moving to §6 (left-plane digamma bound).
tool: Edit
input
{
  "file_path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiReflect.lean",
  "old_string": "        have hre : ((1 - \u03c1) - discCenter (-t)).re = -(1 + \u03c1.re) := by\n          simp [discCenter, sub_re, add_re, mul_re, ofReal_re, ofReal_im, I_re, I_im,\n            neg_re, neg_im, one_re, one_im]\n          ring\n        have him : ((1 - \u03c1) - discCenter (-t)).im = -(\u03c1.im - t) := by\n          simp [discCenter, sub_im, add_im, mul_im, ofReal_re, ofReal_im, I_re, I_im,\n            neg_re, neg_im, one_re, one_im]\n          ring",
  "new_string": "        have hre : ((1 - \u03c1) - discCenter (-t)).re = -(1 + \u03c1.re) := by\n          simp [discCenter, sub_re, add_re, mul_re, ofReal_re, ofReal_im, I_re, I_im, neg_re]\n          ring\n        have him : ((1 - \u03c1) - discCenter (-t)).im = -(\u03c1.im - t) := by\n          simp [discCenter, sub_im, add_im, mul_im, ofReal_re, ofReal_im, I_re, I_im, neg_im]\n          ring"
}
raw content_json (database row)
[{"type":"thinking","thinking":"§0–§5 compile clean (only the unused-simp-arg warnings remain). The capstone `logDeriv_riemannZeta_sub_nearZeros_le_left` is proved. Let me clean up the unused simp args (warnings at 332/336), then move to §6 (the left-plane digamma bound).\n\nThe warnings were at lines 332/336 — the hre/him simp calls in one_sub_mem_nearZeros_neg: unused args neg_im, one_im (line 332) and neg_re, one_re (line 336). Trim them.","signature":""},{"type":"text","text":"§0–§5 compile clean. Trimming the unused simp args, then moving to §6 (left-plane digamma bound)."},{"type":"tool_use","id":"Edit_101","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiReflect.lean","old_string":"        have hre : ((1 - ρ) - discCenter (-t)).re = -(1 + ρ.re) := by\n          simp [discCenter, sub_re, add_re, mul_re, ofReal_re, ofReal_im, I_re, I_im,\n            neg_re, neg_im, one_re, one_im]\n          ring\n        have him : ((1 - ρ) - discCenter (-t)).im = -(ρ.im - t) := by\n          simp [discCenter, sub_im, add_im, mul_im, ofReal_re, ofReal_im, I_re, I_im,\n            neg_re, neg_im, one_re, one_im]\n          ring","new_string":"        have hre : ((1 - ρ) - discCenter (-t)).re = -(1 + ρ.re) := by\n          simp [discCenter, sub_re, add_re, mul_re, ofReal_re, ofReal_im, I_re, I_im, neg_re]\n          ring\n        have him : ((1 - ρ) - discCenter (-t)).im = -(ρ.im - t) := by\n          simp [discCenter, sub_im, add_im, mul_im, ofReal_re, ofReal_im, I_re, I_im, neg_im]\n          ring"},"extra_content":null}]