← Session 33 — ii′-3b/3c crux + F-D finding; Lagarias letter package
thinking (77 chars)
§5 complete and green. Now §6: gFun_eventuallyEq_zero + the capstone. Append.
§5 complete. Appending §6 (eventuallyEq + capstone).
tool: TodoWrite ok
input
{
"todos": [
{
"content": "Read LiMoments.lean current state (defs + \u00a71\u2013\u00a74)",
"status": "completed",
"activeForm": "Reading LiMoments.lean"
},
{
"content": "\u00a75: iteratedDeriv_zpow_neg_one + iteratedDeriv_seriesTerm",
"status": "completed",
"activeForm": "Proving per-term derivative lemmas"
},
{
"content": "\u00a75: seriesTerm_deriv_summableLocallyUniformlyOn (M-test)",
"status": "completed",
"activeForm": "Building the M-test bound"
},
{
"content": "\u00a75: iteratedDeriv_seriesFun_zero",
"status": "completed",
"activeForm": "Proving termwise derivation of seriesFun at 0"
},
{
"content": "\u00a76: gFun_eventuallyEq_zero + capstone sigmaP_eq_neg_iteratedDeriv_gFun_div",
"status": "in_progress",
"activeForm": "Proving the capstone"
},
{
"content": "Root-import LiTightR + LiMoments, full build, axiom audit",
"status": "pending",
"activeForm": "Building and auditing"
},
{
"content": "Journal/db/STATE/NGUYEN updates + commit (ii\u2032-3b DONE)",
"status": "pending",
"activeForm": "Closing ii\u2032-3b"
}
]
}
result 2026-08-25 02:56:51Z → 2026-08-26 13:56:02Z
{
"oldTodos": [
"content='6-c-i: scaffolding (rectangle decomposition, path integrability, symmetry helpers, Z2hat mono)' status='in_progress' active_form='Building 6-c-i scaffolding'",
"content='6-c-ii: I_III left-vertical bound \u2264 4T((2/3)Z2hat+10.5 log+48) + 40\u00b71.3352' status='pending' active_form='Proving the I_III left-vertical bound'",
"content='6-c-iii: I_I right-vertical bound \u2264 IIMaj n' status='pending' active_form='Proving the I_I right-vertical bound'",
"content='6-c-iv: mid-horizontal segment machine \u2264 (e\u2074+1)(NI + 5.5(10.5 log+48))' status='pending' active_form='Building the mid-horizontal segment machine'",
"content='6-c-v: full horizontal assembly (mid + dog-leg tails, both sides)' status='pending' active_form='Assembling the full horizontal bounds'",
"content='ii\u2032-6-d: the fold (pinch + 2\u03c0 factor + sfBoundProp)' status='pending' active_form='Folding into sfBoundProp'"
],
"newTodos": [
"content='6-c-i: scaffolding (rectangle decomposition, path integrability, symmetry helpers, Z2hat mono)' status='completed' active_form='Building 6-c-i scaffolding'",
"content='6-c-ii: I_III left-vertical bound \u2264 4T((2/3)Z2hat+10.5 log+48) + 40\u00b71.3352' status='in_progress' active_form='Proving the I_III left-vertical bound'",
"content='6-c-iii: I_I right-vertical bound \u2264 e^{1/3}\u00b7IIMaj n (F-E form)' status='pending' active_form='Proving the I_I right-vertical bound'",
"content='6-c-iv: mid-horizontal segment machine \u2264 (e\u2074+1)(NI + 5.5(10.5 log+48))' status='pending' active_form='Building the mid-horizontal segment machine'",
"content='6-c-v: full horizontal assembly (mid + dog-leg tails, both sides)' status='pending' active_form='Assembling the full horizontal bounds'",
"content='ii\u2032-6-d: the fold (pinch + 2\u03c0 factor + sfBoundProp)' status='pending' active_form='Folding into sfBoundProp'"
],
"cleared": false
}
raw content_json (database row)
[{"type":"thinking","thinking":"§5 complete and green. Now §6: gFun_eventuallyEq_zero + the capstone. Append.","signature":""},{"type":"text","text":"§5 complete. Appending §6 (eventuallyEq + capstone)."},{"type":"tool_use","id":"TodoWrite_60","name":"TodoWrite","input":{"todos":[{"content":"Read LiMoments.lean current state (defs + §1–§4)","status":"completed","activeForm":"Reading LiMoments.lean"},{"content":"§5: iteratedDeriv_zpow_neg_one + iteratedDeriv_seriesTerm","status":"completed","activeForm":"Proving per-term derivative lemmas"},{"content":"§5: seriesTerm_deriv_summableLocallyUniformlyOn (M-test)","status":"completed","activeForm":"Building the M-test bound"},{"content":"§5: iteratedDeriv_seriesFun_zero","status":"completed","activeForm":"Proving termwise derivation of seriesFun at 0"},{"content":"§6: gFun_eventuallyEq_zero + capstone sigmaP_eq_neg_iteratedDeriv_gFun_div","status":"in_progress","activeForm":"Proving the capstone"},{"content":"Root-import LiTightR + LiMoments, full build, axiom audit","status":"pending","activeForm":"Building and auditing"},{"content":"Journal/db/STATE/NGUYEN updates + commit (ii′-3b DONE)","status":"pending","activeForm":"Closing ii′-3b"}]},"extra_content":null}]