← Session 28 — ii′-5e: partial-fraction identity (zero series + F entire)
thinking (412 chars)
LiFEntire.lean compiles FULLY CLEAN — all 9 sections including the capstone `gentire_analyticAt_and_eq`.
Wait — I should double-check the capstone statement is what 5e-v needs: `(∀ s, AnalyticAt ℂ Gentire s) ∧ (∀ s, ¬ badPoint s → Gentire s = Fexpr s)` ✓ — G entire + agrees with Fexpr at good points.
Now: root-import LiFEntire, full build, axiom audit, then session-end protocol. Also update the todo list.
Full file clean — capstone `gentire_analyticAt_and_eq` proved. Root-import, full build, audit.
tool: TodoWrite ok
input
{
"todos": [
{
"content": "LiFEntire \u00a70\u2013\u00a72: Fexpr/badPoint defs, analyticAt_digamma, zero classification",
"status": "completed",
"activeForm": "Building helpers (digamma analyticAt, classification)"
},
{
"content": "\u00a73\u2013\u00a74: unified logDeriv-NF witness at zeros + s=1 witness",
"status": "completed",
"activeForm": "Building zero/one witnesses"
},
{
"content": "\u00a75\u2013\u00a76: digamma series parts (0 and \u2212n) + s=0 and s=\u22122n witnesses",
"status": "completed",
"activeForm": "Building digamma splits"
},
{
"content": "\u00a77\u2013\u00a79: nontrivial-zero witness, generic case, G assembly + capstone",
"status": "completed",
"activeForm": "Assembling G entire"
},
{
"content": "Build GREEN + root import + axiom audit",
"status": "in_progress",
"activeForm": "Building and auditing"
},
{
"content": "Session-end protocol (journal-029, STATE, NGUYEN, db, commit)",
"status": "pending",
"activeForm": "Closing session 029"
}
]
}
result 2026-08-23 16:41:34Z → 2026-08-23 16:41:34Z
{
"oldTodos": [
"content='LiFEntire \u00a70\u2013\u00a72: Fexpr/badPoint defs, analyticAt_digamma, zero classification' status='in_progress' active_form='Building helpers (digamma analyticAt, classification)'",
"content='\u00a73\u2013\u00a74: unified logDeriv-NF witness at zeros + s=1 witness' status='pending' active_form='Building zero/one witnesses'",
"content='\u00a75\u2013\u00a76: digamma series parts (0 and \u2212n) + s=0 and s=\u22122n witnesses' status='pending' active_form='Building digamma splits'",
"content='\u00a77\u2013\u00a79: nontrivial-zero witness, generic case, G assembly + capstone' status='pending' active_form='Assembling G entire'",
"content='Build GREEN + root import + axiom audit' status='pending' active_form='Building and auditing'",
"content='Session-end protocol (journal-029, STATE, NGUYEN, db, commit)' status='pending' active_form='Closing session 029'"
],
"newTodos": [
"content='LiFEntire \u00a70\u2013\u00a72: Fexpr/badPoint defs, analyticAt_digamma, zero classification' status='completed' active_form='Building helpers (digamma analyticAt, classification)'",
"content='\u00a73\u2013\u00a74: unified logDeriv-NF witness at zeros + s=1 witness' status='completed' active_form='Building zero/one witnesses'",
"content='\u00a75\u2013\u00a76: digamma series parts (0 and \u2212n) + s=0 and s=\u22122n witnesses' status='completed' active_form='Building digamma splits'",
"content='\u00a77\u2013\u00a79: nontrivial-zero witness, generic case, G assembly + capstone' status='completed' active_form='Assembling G entire'",
"content='Build GREEN + root import + axiom audit' status='in_progress' active_form='Building and auditing'",
"content='Session-end protocol (journal-029, STATE, NGUYEN, db, commit)' status='pending' active_form='Closing session 029'"
],
"cleared": false
}
raw content_json (database row)
[{"type":"thinking","thinking":"LiFEntire.lean compiles FULLY CLEAN — all 9 sections including the capstone `gentire_analyticAt_and_eq`. \n\nWait — I should double-check the capstone statement is what 5e-v needs: `(∀ s, AnalyticAt ℂ Gentire s) ∧ (∀ s, ¬ badPoint s → Gentire s = Fexpr s)` ✓ — G entire + agrees with Fexpr at good points. \n\nNow: root-import LiFEntire, full build, axiom audit, then session-end protocol. Also update the todo list.","signature":""},{"type":"text","text":"Full file clean — capstone `gentire_analyticAt_and_eq` proved. Root-import, full build, audit."},{"type":"tool_use","id":"TodoWrite_218","name":"TodoWrite","input":{"todos":[{"content":"LiFEntire §0–§2: Fexpr/badPoint defs, analyticAt_digamma, zero classification","status":"completed","activeForm":"Building helpers (digamma analyticAt, classification)"},{"content":"§3–§4: unified logDeriv-NF witness at zeros + s=1 witness","status":"completed","activeForm":"Building zero/one witnesses"},{"content":"§5–§6: digamma series parts (0 and −n) + s=0 and s=−2n witnesses","status":"completed","activeForm":"Building digamma splits"},{"content":"§7–§9: nontrivial-zero witness, generic case, G assembly + capstone","status":"completed","activeForm":"Assembling G entire"},{"content":"Build GREEN + root import + axiom audit","status":"in_progress","activeForm":"Building and auditing"},{"content":"Session-end protocol (journal-029, STATE, NGUYEN, db, commit)","status":"pending","activeForm":"Closing session 029"}]},"extra_content":null}]