← Session 27 — ii′-5c/5d: Davenport disc + FE-reflection bounds
thinking (373 chars)
LiGapCircles.lean compiles clean. Now:
1. Root import.
2. Full build.
3. Axiom audit.
4. Then assess: continue to 5e-ii (near-axis digamma bound) in this session? The session has been moderate so far. 5e-ii is estimated 0.25–0.5 session. Let me do it — the session protocol says continue through sub-stages. Actually, let me first land 5e-i (commit), then proceed to 5e-ii.
Clean. Root import + full build + audit, and commit 5e-i.
tool: Edit
input
{
"file_path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1.lean",
"old_string": " NguyenRH1.SuzukiSkeleton \u2014 R-003 exact factorization (draft \u00a73.2)\n NguyenRH1.ValleySkeleton \u2014 valley law statements (draft \u00a73.3)\n-/",
"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.SuzukiSkeleton \u2014 R-003 exact factorization (draft \u00a73.2)\n NguyenRH1.ValleySkeleton \u2014 valley law statements (draft \u00a73.3)\n-/"
}
raw content_json (database row)
[{"type":"thinking","thinking":"LiGapCircles.lean compiles clean. Now:\n1. Root import.\n2. Full build.\n3. Axiom audit.\n4. Then assess: continue to 5e-ii (near-axis digamma bound) in this session? The session has been moderate so far. 5e-ii is estimated 0.25–0.5 session. Let me do it — the session protocol says continue through sub-stages. Actually, let me first land 5e-i (commit), then proceed to 5e-ii.","signature":""},{"type":"text","text":"Clean. Root import + full build + audit, and commit 5e-i."},{"type":"tool_use","id":"Edit_236","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1.lean","old_string":" NguyenRH1.SuzukiSkeleton — R-003 exact factorization (draft §3.2)\n NguyenRH1.ValleySkeleton — valley law statements (draft §3.3)\n-/","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.SuzukiSkeleton — R-003 exact factorization (draft §3.2)\n NguyenRH1.ValleySkeleton — valley law statements (draft §3.3)\n-/"},"extra_content":null}]