← Session 27 — ii′-5c/5d: Davenport disc + FE-reflection bounds
thinking (465 chars)
LiTrivialZeros.lean compiles clean. Now:
1. Add to root NguyenRH1.lean (import + doc).
2. Full build.
3. Axiom audit (add the new decls to Scratch.lean and rerun — audit-session026-axioms.txt).
New decls: gamma_mul_prod, trivQ, HfunT (defs), trivRecurrence_side, trivQ_ne_zero, trivQ_center_ne_zero, HfunT_analyticAt, HfunT_ne_zero, HfunT_eq, zeroMult_neg_two_mul. Audit the theorems (defs don't need axiom print but can include — #print axioms on defs works too).
Clean. Adding the root import and running the full build.
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.LiTrivialZeros \u2014 ii\u2032-5e prep: zeroMult(\u22122n) = 1 for ALL\n n \u2265 1 (product-form \u0393 recurrence\n gamma_mul_prod + the HfunT cofactor;\n generalizes ii\u2032-4c's zeroMult_neg_two)\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":"LiTrivialZeros.lean compiles clean. Now:\n1. Add to root NguyenRH1.lean (import + doc).\n2. Full build.\n3. Axiom audit (add the new decls to Scratch.lean and rerun — audit-session026-axioms.txt).\n\nNew decls: gamma_mul_prod, trivQ, HfunT (defs), trivRecurrence_side, trivQ_ne_zero, trivQ_center_ne_zero, HfunT_analyticAt, HfunT_ne_zero, HfunT_eq, zeroMult_neg_two_mul. Audit the theorems (defs don't need axiom print but can include — #print axioms on defs works too).","signature":""},{"type":"text","text":"Clean. Adding the root import and running the full build."},{"type":"tool_use","id":"Edit_194","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.LiTrivialZeros — ii′-5e prep: zeroMult(−2n) = 1 for ALL\n n ≥ 1 (product-form Γ recurrence\n gamma_mul_prod + the HfunT cofactor;\n generalizes ii′-4c's zeroMult_neg_two)\n NguyenRH1.SuzukiSkeleton — R-003 exact factorization (draft §3.2)\n NguyenRH1.ValleySkeleton — valley law statements (draft §3.3)\n-/"},"extra_content":null}]