← Session 35 — ii′-6-R: Lagarias 6.1 right-tail re-proof (E-032/D-073)
thinking (211 chars)
E-034 at VRightBound = IIMaj/2: **ALL CHECKS PASS** (margins unchanged to the digit at these precisions: 13,160 / 88,911 / 2.458e26 — IIMaj is ~1e-105, so the IIMaj/4 → IIMaj/2 change is invisible). Commit DL-4.
All checks pass (margins identical — IIMaj's ~1e-105 makes the change invisible). Committing DL-4.
tool: Bash
input
{
"command": "cd D:/Python/Quantum && git add research/lean/NguyenRH1/NguyenRH1/LiDogLeg.lean research/lean/NguyenRH1/AuditSession040.lean research/lean/NguyenRH1/audit-session040-axioms.txt research/numerics/scripts/E-034-dogleg-validation.py research/numerics/data/E-034-dogleg-validation.csv research/numerics/data/E-034-dogleg-validation.json research/derivations/D-074-dogleg-repair.md NGUYEN.md STATE.md && git -c user.name=\"NGUYEN-RH-1\" -c user.email=\"research@local\" commit -m \"$(cat <<'EOF'\nii'-6-DL-4 COMPLETE (session 040): the far-right vertical drop Lean-PROVED \u2014 kFun_right_vertical_norm_le_exp_sqrt_half_add_one (the w=2sqrt(n) kernel variant: ||kFun n (2sqrt(n)+it)|| <= e^{sqrt(n)/2}+1 for n>=16, t^2>=n) and the capstone vIntegral_Jlag_right_norm_le: ||VIntegral (Jlag n) (2sqrt(n)) T U|| <= (U-T)(e^{sqrt(n)/2}+1)*2^{-(2sqrt(n)-2)}*dirichletC2 \u2014 exponentially tiny, NO perimeter. VRightBound charged IIMaj/2 (provable with dirichletC2 <= 1; IIMaj/4 = documented tightening path). Full build GREEN (8773 jobs); audit: 23 decls, 3 standard axioms only, 0 sorryAx. E-034 re-validated at VRightBound=IIMaj/2: ALL CHECKS PASS (margins 13160/88911/2.458e26). Next: DL-5 (total right-horizontal bound + lower side).\nEOF\n)\" && git log --oneline -1",
"description": "Commit DL-4"
}
raw content_json (database row)
[{"type":"thinking","thinking":"E-034 at VRightBound = IIMaj/2: **ALL CHECKS PASS** (margins unchanged to the digit at these precisions: 13,160 / 88,911 / 2.458e26 — IIMaj is ~1e-105, so the IIMaj/4 → IIMaj/2 change is invisible). Commit DL-4.","signature":""},{"type":"text","text":"All checks pass (margins identical — IIMaj's ~1e-105 makes the change invisible). Committing DL-4."},{"type":"tool_use","id":"Bash_374","name":"Bash","input":{"command":"cd D:/Python/Quantum && git add research/lean/NguyenRH1/NguyenRH1/LiDogLeg.lean research/lean/NguyenRH1/AuditSession040.lean research/lean/NguyenRH1/audit-session040-axioms.txt research/numerics/scripts/E-034-dogleg-validation.py research/numerics/data/E-034-dogleg-validation.csv research/numerics/data/E-034-dogleg-validation.json research/derivations/D-074-dogleg-repair.md NGUYEN.md STATE.md && git -c user.name=\"NGUYEN-RH-1\" -c user.email=\"research@local\" commit -m \"$(cat <<'EOF'\nii'-6-DL-4 COMPLETE (session 040): the far-right vertical drop Lean-PROVED — kFun_right_vertical_norm_le_exp_sqrt_half_add_one (the w=2sqrt(n) kernel variant: ||kFun n (2sqrt(n)+it)|| <= e^{sqrt(n)/2}+1 for n>=16, t^2>=n) and the capstone vIntegral_Jlag_right_norm_le: ||VIntegral (Jlag n) (2sqrt(n)) T U|| <= (U-T)(e^{sqrt(n)/2}+1)*2^{-(2sqrt(n)-2)}*dirichletC2 — exponentially tiny, NO perimeter. VRightBound charged IIMaj/2 (provable with dirichletC2 <= 1; IIMaj/4 = documented tightening path). Full build GREEN (8773 jobs); audit: 23 decls, 3 standard axioms only, 0 sorryAx. E-034 re-validated at VRightBound=IIMaj/2: ALL CHECKS PASS (margins 13160/88911/2.458e26). Next: DL-5 (total right-horizontal bound + lower side).\nEOF\n)\" && git log --oneline -1","description":"Commit DL-4"},"extra_content":null}]