← Session 27 — ii′-5c/5d: Davenport disc + FE-reflection bounds
thinking (634 chars)
CLEAN — §1+§2+§3 all compile: telescope + (B) right-half bound + (C) separated reciprocal sum.
Now let me commit this as a green boundary (5e-ii first half: (T), (B), (C)), then continue with §4 (A) and §5 (G). Actually — let me first check the time budget. The session has been long (many compile iterations). Per the pacing directive (8.5: break into sub-stages ending clean), this is a good point to:
1. Root-import LiDigammaLeft, full build, audit, commit — landing (T)+(B)+(C).
2. Then continue with §4 (A) + §5 (G) as the remainder of 5e-ii, possibly closing the session after.
Let me do the root import + build + commit now.
§1–§3 green (telescope + B + C). Landing this boundary: root import, build, audit, commit.
tool: Edit
input
{
"file_path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1.lean",
"old_string": " NguyenRH1.LiGapCircles \u2014 ii\u2032-5e-i: the \u03b3-gap circle radii\n (exists_gapCircle_radius): R \u2208 [4k+5/2,\n 4k+3] with dist(R/2, \u2124) \u2265 1/4 and every\n zero ordinate either \u2265 1 away or at\n clearance \u2265 1/(16\u00b7C0hat(4k+9/2)) \u2014 the\n \u00d72-rescaled midpoint pigeonhole",
"new_string": " NguyenRH1.LiGapCircles \u2014 ii\u2032-5e-i: the \u03b3-gap circle radii\n (exists_gapCircle_radius): R \u2208 [4k+5/2,\n 4k+3] with dist(R/2, \u2124) \u2265 1/4 and every\n zero ordinate either \u2265 1 away or at\n clearance \u2265 1/(16\u00b7C0hat(4k+9/2)) \u2014 the\n \u00d72-rescaled midpoint pigeonhole\n NguyenRH1.LiDigammaLeft \u2014 ii\u2032-5e-ii (first half): the telescoping\n tail + the right-half-plane digamma bound\n (norm_digamma_le_of_two_le_re, Weierstrass\n split + harmonic + telescope) + the\n separated reciprocal sum bound\n (digamma_recip_sum_le, the V-split)"
}
raw content_json (database row)
[{"type":"thinking","thinking":"CLEAN — §1+§2+§3 all compile: telescope + (B) right-half bound + (C) separated reciprocal sum. \n\nNow let me commit this as a green boundary (5e-ii first half: (T), (B), (C)), then continue with §4 (A) and §5 (G). Actually — let me first check the time budget. The session has been long (many compile iterations). Per the pacing directive (8.5: break into sub-stages ending clean), this is a good point to:\n1. Root-import LiDigammaLeft, full build, audit, commit — landing (T)+(B)+(C).\n2. Then continue with §4 (A) + §5 (G) as the remainder of 5e-ii, possibly closing the session after.\n\nLet me do the root import + build + commit now.","signature":""},{"type":"text","text":"§1–§3 green (telescope + B + C). Landing this boundary: root import, build, audit, commit."},{"type":"tool_use","id":"Edit_432","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1.lean","old_string":" NguyenRH1.LiGapCircles — ii′-5e-i: the γ-gap circle radii\n (exists_gapCircle_radius): R ∈ [4k+5/2,\n 4k+3] with dist(R/2, ℤ) ≥ 1/4 and every\n zero ordinate either ≥ 1 away or at\n clearance ≥ 1/(16·C0hat(4k+9/2)) — the\n ×2-rescaled midpoint pigeonhole","new_string":" NguyenRH1.LiGapCircles — ii′-5e-i: the γ-gap circle radii\n (exists_gapCircle_radius): R ∈ [4k+5/2,\n 4k+3] with dist(R/2, ℤ) ≥ 1/4 and every\n zero ordinate either ≥ 1 away or at\n clearance ≥ 1/(16·C0hat(4k+9/2)) — the\n ×2-rescaled midpoint pigeonhole\n NguyenRH1.LiDigammaLeft — ii′-5e-ii (first half): the telescoping\n tail + the right-half-plane digamma bound\n (norm_digamma_le_of_two_le_re, Weierstrass\n split + harmonic + telescope) + the\n separated reciprocal sum bound\n (digamma_recip_sum_le, the V-split)"},"extra_content":null}]