← Session 22 — ii′-1: liCoeff pairing fix + residue machinery
thinking (580 chars)
Found it: LHS has `Complex.ofReal (Real.log Real.pi)` and RHS has `Complex.ofReal (Real.log π)` — same cast — and `Real.log Real.pi` vs `Real.log π` — so the ONLY difference is `Real.pi` vs `π` — wait, but if π is notation for Real.pi these are the SAME constant... The pp.all output shows `Real.log Real.pi` and `Real.log π` — so `π` is a SEPARATE constant from `Real.pi`! There must be ANOTHER π in scope (via my opens — maybe `Zeta23` or `Complex` exports a `π`?). The π in my file resolved to a DIFFERENT constant also displayed as π. Let me find what `π` is with these opens.
The pp.all output shows `Real.log Real.pi` vs `Real.log π` — two different constants! Something in my opens shadows π. Let me identify it.
tool: Bash
input
{
"command": "cd \"D:/Python/Quantum/research/lean/NguyenRH1\" && export PATH=\"$HOME/.elan/bin:$PATH\" && cat > probe.lean << 'EOF'\nimport Mathlib\nimport NguyenRH1.LiSkeleton\nopen Zeta23 Complex Filter Topology\nopen scoped Nat\n#check \u03c0\n#check (\u03c0 : \u211d)\n#print \u03c0\nEOF\nlake env lean probe.lean 2>&1 | head -12",
"description": "Identify what \u03c0 resolves to with these opens",
"timeout": 120000
}
raw content_json (database row)
[{"type":"thinking","thinking":"Found it: LHS has `Complex.ofReal (Real.log Real.pi)` and RHS has `Complex.ofReal (Real.log π)` — same cast — and `Real.log Real.pi` vs `Real.log π` — so the ONLY difference is `Real.pi` vs `π` — wait, but if π is notation for Real.pi these are the SAME constant... The pp.all output shows `Real.log Real.pi` and `Real.log π` — so `π` is a SEPARATE constant from `Real.pi`! There must be ANOTHER π in scope (via my opens — maybe `Zeta23` or `Complex` exports a `π`?). The π in my file resolved to a DIFFERENT constant also displayed as π. Let me find what `π` is with these opens.","signature":""},{"type":"text","text":"The pp.all output shows `Real.log Real.pi` vs `Real.log π` — two different constants! Something in my opens shadows π. Let me identify it."},{"type":"tool_use","id":"Bash_273","name":"Bash","input":{"command":"cd \"D:/Python/Quantum/research/lean/NguyenRH1\" && export PATH=\"$HOME/.elan/bin:$PATH\" && cat > probe.lean << 'EOF'\nimport Mathlib\nimport NguyenRH1.LiSkeleton\nopen Zeta23 Complex Filter Topology\nopen scoped Nat\n#check π\n#check (π : ℝ)\n#print π\nEOF\nlake env lean probe.lean 2>&1 | head -12","description":"Identify what π resolves to with these opens","timeout":120000},"extra_content":null}]