← Session 24 — ii′-2…4: swaps, (4.10) design, contour + website roadmap fixes
thinking (355 chars)
ii′-4 is COMPLETE (all three sub-stages). Now the session end protocol (§8.4):
1. journal/session-021.md
2. Update NGUYEN.md §5 checklist (ii′-4 [x]) + session log (§8.6)
3. Update STATE.md (NEXT ACTION → ii′-5)
4. research.db registration (session)
5. Commit
Let me check the journal format from session-020 to match conventions, then write journal-021.
ii′-4 complete. Updating todos and running the session-end protocol.
tool: TodoWrite ok
input
{
"todos": [
{
"activeForm": "Reading design docs for ii\u2032-4 content",
"content": "Read design docs: D-036 \u00a72, D-064 \u00a74, D-066 \u00a76 (zeroMult route)",
"status": "completed"
},
{
"activeForm": "Surveying Lean package state",
"content": "Survey Lean package state (LiSkeleton perimeter, LiSides zeroMult/Jlag)",
"status": "completed"
},
{
"activeForm": "Implementing L3 zero-avoiding T",
"content": "ii\u2032-4a: L3 pigeonhole \u2014 exists_zero_avoiding_T PROVED",
"status": "completed"
},
{
"activeForm": "Implementing L1 kernel bounds",
"content": "ii\u2032-4b: L1 kernel bounds PROVED",
"status": "completed"
},
{
"activeForm": "Proving trivial-zero simplicity",
"content": "ii\u2032-4c: zeroMult(\u22122) = 1 PROVED; build + axiom audit green",
"status": "completed"
},
{
"activeForm": "Running session end protocol",
"content": "Session end protocol: journal-021, NGUYEN.md, STATE.md, db, commit",
"status": "in_progress"
}
]
}
result 2026-08-22 16:18:18Z → 2026-08-22 16:18:18Z
{
"oldTodos": [
"content='Read design docs: D-036 \u00a72, D-064 \u00a74, D-066 \u00a76 (zeroMult route)' status='completed' active_form='Reading design docs for ii\u2032-4 content'",
"content='Survey Lean package state (LiSkeleton perimeter, LiSides zeroMult/Jlag)' status='completed' active_form='Surveying Lean package state'",
"content='ii\u2032-4a: L3 pigeonhole \u2014 zeroWindow/ZeroCountProp + exists_avoiding_midpoint + exists_zero_avoiding_T' status='in_progress' active_form='Implementing L3 zero-avoiding T'",
"content='ii\u2032-4b: L1 kernel bounds (kFun \u2264 2, e\u2074+1, e^{\u221an/2}+1, kFun(\u22122))' status='pending' active_form='Implementing L1 kernel bounds'",
"content='ii\u2032-4c: zeroMult(\u22122) = 1 via FE + \u0393R pole + \u03b6(3) \u2260 0' status='pending' active_form='Proving trivial-zero simplicity'",
"content='Full build + axiom audit' status='pending' active_form='Building and auditing axioms'",
"content='Session end protocol: journal-021, NGUYEN.md, STATE.md, commit' status='pending' active_form='Running session end protocol'"
],
"newTodos": [
"content='Read design docs: D-036 \u00a72, D-064 \u00a74, D-066 \u00a76 (zeroMult route)' status='completed' active_form='Reading design docs for ii\u2032-4 content'",
"content='Survey Lean package state (LiSkeleton perimeter, LiSides zeroMult/Jlag)' status='completed' active_form='Surveying Lean package state'",
"content='ii\u2032-4a: L3 pigeonhole \u2014 exists_zero_avoiding_T PROVED' status='completed' active_form='Implementing L3 zero-avoiding T'",
"content='ii\u2032-4b: L1 kernel bounds PROVED' status='completed' active_form='Implementing L1 kernel bounds'",
"content='ii\u2032-4c: zeroMult(\u22122) = 1 PROVED; build + axiom audit green' status='completed' active_form='Proving trivial-zero simplicity'",
"content='Session end protocol: journal-021, NGUYEN.md, STATE.md, db, commit' status='in_progress' active_form='Running session end protocol'"
],
"cleared": false
}
raw content_json (database row)
[{"type":"thinking","thinking":"ii′-4 is COMPLETE (all three sub-stages). Now the session end protocol (§8.4):\n1. journal/session-021.md\n2. Update NGUYEN.md §5 checklist (ii′-4 [x]) + session log (§8.6)\n3. Update STATE.md (NEXT ACTION → ii′-5)\n4. research.db registration (session)\n5. Commit\n\nLet me check the journal format from session-020 to match conventions, then write journal-021.","signature":""},{"type":"text","text":"ii′-4 complete. Updating todos and running the session-end protocol."},{"type":"tool_use","id":"TodoWrite_140","name":"TodoWrite","input":{"todos":[{"activeForm":"Reading design docs for ii′-4 content","content":"Read design docs: D-036 §2, D-064 §4, D-066 §6 (zeroMult route)","status":"completed"},{"activeForm":"Surveying Lean package state","content":"Survey Lean package state (LiSkeleton perimeter, LiSides zeroMult/Jlag)","status":"completed"},{"activeForm":"Implementing L3 zero-avoiding T","content":"ii′-4a: L3 pigeonhole — exists_zero_avoiding_T PROVED","status":"completed"},{"activeForm":"Implementing L1 kernel bounds","content":"ii′-4b: L1 kernel bounds PROVED","status":"completed"},{"activeForm":"Proving trivial-zero simplicity","content":"ii′-4c: zeroMult(−2) = 1 PROVED; build + axiom audit green","status":"completed"},{"activeForm":"Running session end protocol","content":"Session end protocol: journal-021, NGUYEN.md, STATE.md, db, commit","status":"in_progress"}]},"extra_content":null}]