← Session 35 — ii′-6-R: Lagarias 6.1 right-tail re-proof (E-032/D-073)
thinking (604 chars)
Session 039 fully closed. Now session 040: the ii′-6-a redo at c = 1.5.
First, read the current Lean state. I need to find:
1. `Bn` definition (LiSkeleton.lean ~2413)
2. `marginTilde` (~754)
3. `marginExpanded` + mK (~1819)
4. `Z2hat`
5. `marginTilde_convex`
6. `marginTilde_eq_expanded`, `marginTilde_eq_sub`
7. Base points in LiBasePoints.lean
8. `SfBoundProp` (range endpoint)
9. `lambda_pos_finite_height_verified` (N₁ usage)
10. LiAssembly.lean T-instantiation (the bridge proof — where does T come from?)
11. exists_zero_avoiding_T_wide (LiContour.lean)
Let me grep for these in the Lean package.
Session 039 closed. Now session 040 — reading the current Lean state for the ii′-6-a redo.
tool: TodoWrite ok
input
{
"todos": [
{
"content": "Write journal-039 (ii\u2032-6-R side thread closure) + commit",
"status": "completed",
"activeForm": "Writing journal-039"
},
{
"content": "Session 040: read Lean state (Bn, marginTilde, marginExpanded/mK, Z2hat, convexity, base points, SfBoundProp range, assembly T-instantiation)",
"status": "in_progress",
"activeForm": "Reading current Lean state"
},
{
"content": "ii\u2032-6-a redo step 1\u20132: Bn redefinition at c = 1.5 + D-073 correction comment; lockstep marginTilde/marginExpanded/mK; N\u2081 = (4/9)(3\u00b710\u00b9\u00b2\u22121)\u00b2",
"status": "pending",
"activeForm": "Redefining Bn at c = 1.5"
},
{
"content": "ii\u2032-6-a redo step 3: re-prove marginTilde_convex at the new constants",
"status": "pending",
"activeForm": "Re-proving margin convexity"
},
{
"content": "ii\u2032-6-a redo steps 4\u20135: re-certify base points (8\u00d710\u2074, 10\u2075) + endpoint margins at N\u2081 = 4\u00d710\u00b2\u2074",
"status": "pending",
"activeForm": "Re-certifying base points"
},
{
"content": "Full build green + axiom audit + journal-040 + commit ii\u2032-6-a-redo",
"status": "pending",
"activeForm": "Building and auditing"
}
]
}
result 2026-08-26 03:18:44Z → 2026-08-26 03:18:44Z
{
"oldTodos": [
"content='Write journal-039 (ii\u2032-6-R side thread closure) + commit' status='in_progress' active_form='Writing journal-039'",
"content='Session 040: read Lean state (Bn, marginTilde, marginExpanded/mK, Z2hat, convexity, base points, SfBoundProp range, assembly T-instantiation)' status='pending' active_form='Reading current Lean state'",
"content='ii\u2032-6-a redo step 1\u20132: Bn redefinition at c = 1.5 + D-073 correction comment; lockstep marginTilde/marginExpanded/mK; N\u2081 = (4/9)(3\u00b710\u00b9\u00b2\u22121)\u00b2' status='pending' active_form='Redefining Bn at c = 1.5'",
"content='ii\u2032-6-a redo step 3: re-prove marginTilde_convex at the new constants' status='pending' active_form='Re-proving margin convexity'",
"content='ii\u2032-6-a redo steps 4\u20135: re-certify base points (8\u00d710\u2074, 10\u2075) + endpoint margins at N\u2081 = 4\u00d710\u00b2\u2074' status='pending' active_form='Re-certifying base points'",
"content='Full build green + axiom audit + journal-040 + commit ii\u2032-6-a-redo' status='pending' active_form='Building and auditing'"
],
"newTodos": [
"content='Write journal-039 (ii\u2032-6-R side thread closure) + commit' status='completed' active_form='Writing journal-039'",
"content='Session 040: read Lean state (Bn, marginTilde, marginExpanded/mK, Z2hat, convexity, base points, SfBoundProp range, assembly T-instantiation)' status='in_progress' active_form='Reading current Lean state'",
"content='ii\u2032-6-a redo step 1\u20132: Bn redefinition at c = 1.5 + D-073 correction comment; lockstep marginTilde/marginExpanded/mK; N\u2081 = (4/9)(3\u00b710\u00b9\u00b2\u22121)\u00b2' status='pending' active_form='Redefining Bn at c = 1.5'",
"content='ii\u2032-6-a redo step 3: re-prove marginTilde_convex at the new constants' status='pending' active_form='Re-proving margin convexity'",
"content='ii\u2032-6-a redo steps 4\u20135: re-certify base points (8\u00d710\u2074, 10\u2075) + endpoint margins at N\u2081 = 4\u00d710\u00b2\u2074' status='pending' active_form='Re-certifying base points'",
"content='Full build green + axiom audit + journal-040 + commit ii\u2032-6-a-redo' status='pending' active_form='Building and auditing'"
],
"cleared": false
}
tool: Grep
input
{
"pattern": "def (Bn|marginTilde|marginExpanded|Z2hat|IIMaj|FAlt|Hhat|C0hat)\\b|noncomputable def (Bn|marginTilde|marginExpanded|Z2hat|IIMaj|FAlt|Hhat|C0hat)\\b",
"path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1",
"output_mode": "content",
"-n": true
}
raw content_json (database row)
[{"type":"thinking","thinking":"Session 039 fully closed. Now session 040: the ii′-6-a redo at c = 1.5.\n\nFirst, read the current Lean state. I need to find:\n1. `Bn` definition (LiSkeleton.lean ~2413)\n2. `marginTilde` (~754)\n3. `marginExpanded` + mK (~1819)\n4. `Z2hat`\n5. `marginTilde_convex`\n6. `marginTilde_eq_expanded`, `marginTilde_eq_sub`\n7. Base points in LiBasePoints.lean\n8. `SfBoundProp` (range endpoint)\n9. `lambda_pos_finite_height_verified` (N₁ usage)\n10. LiAssembly.lean T-instantiation (the bridge proof — where does T come from?)\n11. exists_zero_avoiding_T_wide (LiContour.lean)\n\nLet me grep for these in the Lean package.","signature":""},{"type":"text","text":"Session 039 closed. Now session 040 — reading the current Lean state for the ii′-6-a redo."},{"type":"tool_use","id":"TodoWrite_57","name":"TodoWrite","input":{"todos":[{"content":"Write journal-039 (ii′-6-R side thread closure) + commit","status":"completed","activeForm":"Writing journal-039"},{"content":"Session 040: read Lean state (Bn, marginTilde, marginExpanded/mK, Z2hat, convexity, base points, SfBoundProp range, assembly T-instantiation)","status":"in_progress","activeForm":"Reading current Lean state"},{"content":"ii′-6-a redo step 1–2: Bn redefinition at c = 1.5 + D-073 correction comment; lockstep marginTilde/marginExpanded/mK; N₁ = (4/9)(3·10¹²−1)²","status":"pending","activeForm":"Redefining Bn at c = 1.5"},{"content":"ii′-6-a redo step 3: re-prove marginTilde_convex at the new constants","status":"pending","activeForm":"Re-proving margin convexity"},{"content":"ii′-6-a redo steps 4–5: re-certify base points (8×10⁴, 10⁵) + endpoint margins at N₁ = 4×10²⁴","status":"pending","activeForm":"Re-certifying base points"},{"content":"Full build green + axiom audit + journal-040 + commit ii′-6-a-redo","status":"pending","activeForm":"Building and auditing"}]},"extra_content":null},{"type":"tool_use","id":"Grep_58","name":"Grep","input":{"pattern":"def (Bn|marginTilde|marginExpanded|Z2hat|IIMaj|FAlt|Hhat|C0hat)\\b|noncomputable def (Bn|marginTilde|marginExpanded|Z2hat|IIMaj|FAlt|Hhat|C0hat)\\b","path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1","output_mode":"content","-n":true},"extra_content":null}]