← Session 33 — ii′-3b/3c crux + F-D finding; Lagarias letter package
Now NGUYEN.md — the ii′-3 entry and the session log.
tool: Edit
input
{
"file_path": "D:\\Python\\Quantum\\NGUYEN.md",
"old_string": " **ii\u2032-3b COMPLETE (sessions 037\u2013038) \u2014 ROUTE REVISION (D-070)**:\n the moments (M) came from 5e's partialFraction_identity by PURE",
"new_string": " **ii\u2032-3c COMPLETE (session 038)**: LiCrux.lean (~430 lines,\n root-imported, full build GREEN 8771 jobs): the FE derivative\n relation (gFun_one_sub_fun + iteratedDeriv_gFun_zero via the\n UNCONDITIONAL iteratedDeriv_comp_const_sub), the shift expansion\n (gFun_one_add_punctured/gFun_one_add_eventuallyEq), the\n coefficient extraction (iteratedDeriv_gFun_one) \u27f9\n **`lagarias_4_10_a (hZC)` PROVED** (lcoeff (k\u22121) =\n (\u22121)^k\u00b7(lagariasA k + sigmaP k) + (\u22121)^{k\u22121}, all k \u2265 1) \u27f9\n **THE CRUX `sf_eq_resW1 (hZC)` PROVED**: (ResW1 n).re = Sf n for\n n \u2265 1 (ResW1_eq_sum + (4.10-a) + both ii\u2032-2 swaps + the binomial\n sum \u03a3(\u22121)^{j\u22121}C(n,j) = 1). Audit session038b: 8 decls, 3\n standard axioms only. **ii\u2032-3 (ALL of Lagarias (4.10)) COMPLETE \u2014\n Sf(n) = Res\u2081(n) is Lean-proved modulo the declared perimeter.**\n **ii\u2032-3b COMPLETE (sessions 037\u2013038) \u2014 ROUTE REVISION (D-070)**:\n the moments (M) came from 5e's partialFraction_identity by PURE"
}
raw content_json (database row)
[{"type":"text","text":"Now NGUYEN.md — the ii′-3 entry and the session log."},{"type":"tool_use","id":"Edit_153","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\NGUYEN.md","old_string":" **ii′-3b COMPLETE (sessions 037–038) — ROUTE REVISION (D-070)**:\n the moments (M) came from 5e's partialFraction_identity by PURE","new_string":" **ii′-3c COMPLETE (session 038)**: LiCrux.lean (~430 lines,\n root-imported, full build GREEN 8771 jobs): the FE derivative\n relation (gFun_one_sub_fun + iteratedDeriv_gFun_zero via the\n UNCONDITIONAL iteratedDeriv_comp_const_sub), the shift expansion\n (gFun_one_add_punctured/gFun_one_add_eventuallyEq), the\n coefficient extraction (iteratedDeriv_gFun_one) ⟹\n **`lagarias_4_10_a (hZC)` PROVED** (lcoeff (k−1) =\n (−1)^k·(lagariasA k + sigmaP k) + (−1)^{k−1}, all k ≥ 1) ⟹\n **THE CRUX `sf_eq_resW1 (hZC)` PROVED**: (ResW1 n).re = Sf n for\n n ≥ 1 (ResW1_eq_sum + (4.10-a) + both ii′-2 swaps + the binomial\n sum Σ(−1)^{j−1}C(n,j) = 1). Audit session038b: 8 decls, 3\n standard axioms only. **ii′-3 (ALL of Lagarias (4.10)) COMPLETE —\n Sf(n) = Res₁(n) is Lean-proved modulo the declared perimeter.**\n **ii′-3b COMPLETE (sessions 037–038) — ROUTE REVISION (D-070)**:\n the moments (M) came from 5e's partialFraction_identity by PURE"},"extra_content":null}]