← Session 33 — ii′-3b/3c crux + F-D finding; Lagarias letter package
thinking (505 chars)
All confirmed. Now — the Rectangle mem_nhds for the interior point: `rectangle_mem_nhds_of_mem_not_border` needs p ∈ Rectangle ∧ p ∉ RectangleBorder. For p = 1: membership (re ∈ [−5/2, 2√n], im ∈ [−T, T] — 1 has re 1, im 0 ✓) and not-border (re ∉ {−5/2, 2√n}, im ∉ {−T, T} ✓ 1 ≠ −5/2, 1 ≠ 2√n (since 2√n ≥ 2 > 1), 0 ≠ ±T (T > 0)). What's RectangleBorder's def? Let me check quickly + the Rectangle def. Then write LiAssembly.lean.
Also for the hborder I need RectangleBorder's definition to decompose it.
Checking Rectangle/RectangleBorder defs, then writing LiAssembly.lean.
tool: Bash
input
{
"command": "cd D:/Python/Quantum/zeta-23-lean && grep -rn \"def Rectangle\\b\\|def RectangleBorder\\b\" --include=\"*.lean\" Zeta23/ | head -4 && grep -rn \"theorem RectangleBorder\\|RectangleBorder.*=\" --include=\"*.lean\" Zeta23/FromPNTPlus/ResidueCalcOnRectangles.lean | head -8",
"description": "Find Rectangle/RectangleBorder definitions"
}
raw content_json (database row)
[{"type":"thinking","thinking":"All confirmed. Now — the Rectangle mem_nhds for the interior point: `rectangle_mem_nhds_of_mem_not_border` needs p ∈ Rectangle ∧ p ∉ RectangleBorder. For p = 1: membership (re ∈ [−5/2, 2√n], im ∈ [−T, T] — 1 has re 1, im 0 ✓) and not-border (re ∉ {−5/2, 2√n}, im ∉ {−T, T} ✓ 1 ≠ −5/2, 1 ≠ 2√n (since 2√n ≥ 2 > 1), 0 ≠ ±T (T > 0)). What's RectangleBorder's def? Let me check quickly + the Rectangle def. Then write LiAssembly.lean.\n\nAlso for the hborder I need RectangleBorder's definition to decompose it.","signature":""},{"type":"text","text":"Checking Rectangle/RectangleBorder defs, then writing LiAssembly.lean."},{"type":"tool_use","id":"Bash_244","name":"Bash","input":{"command":"cd D:/Python/Quantum/zeta-23-lean && grep -rn \"def Rectangle\\b\\|def RectangleBorder\\b\" --include=\"*.lean\" Zeta23/ | head -4 && grep -rn \"theorem RectangleBorder\\|RectangleBorder.*=\" --include=\"*.lean\" Zeta23/FromPNTPlus/ResidueCalcOnRectangles.lean | head -8","description":"Find Rectangle/RectangleBorder definitions"},"extra_content":null}]