← Session 22 — ii′-1: liCoeff pairing fix + residue machinery
thinking (1699 chars)
The isolated pattern compiles fine! So `Complex.ofRealCLM.hasFDerivAt.comp_hasDerivAt x hg` + the two rewrites works. The failure in the file must be something contextual — likely the `h2` in the file: `HasDerivAt Real.Gamma (deriv Real.Gamma x) x` — produced via `hd.hasDerivAt` — hmm — the file's h2 proof: `apply Real.differentiableAt_Gamma; intro m hmeq; rw [hmeq] at hx0; simp at hx0; ...` — wait — `apply Real.differentiableAt_Gamma` — its signature: Real.differentiableAt_Gamma {s : ℝ} (hs : ∀ m : ℕ, s ≠ -m) : DifferentiableAt ℝ Gamma s — so `apply Real.differentiableAt_Gamma` — the goal is DifferentiableAt ℝ Real.Gamma x — unify Real.Gamma vs Gamma — inside `Real` namespace issues? — I opened Real in this file — so `Gamma` might resolve to Real.Gamma ✓ — the hypothesis: ∀ m, x ≠ −↑m — intro m hmeq — hmeq : x = −↑m — rw [hmeq] at hx0 : 0 < −↑m — simp at hx0 — normalizes to ↑m < 0 — then linarith with hm : 0 ≤ ↑m ✓. Should be fine.
Hmm — the error at 511 remains puzzling but the probe works. The difference: the file has `open Zeta23 Complex Filter Topology Real` — maybe a shadowing... — `Real.log` etc fine. Wait — actually — let me recheck the LAST compile output — it had errors at 511 AND 517 — let me recompile the file NOW and see if the last edits (the h2-restructure with hd.hasDerivAt) changed things. Actually I already restructured h2 in the file (the version with `have hd : DifferentiableAt ... := by ...; exact hd.hasDerivAt`). The last compile was AFTER that edit? Let me check the edit sequence — yes the h2-restructure edit was before the last compile. And the last compile's 511 error persisted. Let me just recompile now and look at the current errors precisely.
The isolated pattern compiles. The file error must be contextual — let me get the current precise errors.
tool: Bash ok
input
{
"command": "cd \"D:/Python/Quantum/research/lean/NguyenRH1\" && export PATH=\"$HOME/.elan/bin:$PATH\" && lake env lean NguyenRH1/LiDigamma.lean 2>&1 | grep -v \"^$\" | head -35",
"description": "Recompile LiDigamma current state",
"timeout": 600000
}
result 2026-08-22 07:56:33Z → 2026-08-23 19:16:05Z
exact mul_le_mul_of_nonneg_left hfrac hm
· rw [if_neg h, norm_zero]
have hnn := Complex.normSq_nonneg (gammaOf (ρ : ℂ))
exact mul_nonneg (by norm_num) (div_nonneg (Nat.cast_nonneg _) (by linarith))
end NguyenRH1
end
raw content_json (database row)
[{"type":"thinking","thinking":"The isolated pattern compiles fine! So `Complex.ofRealCLM.hasFDerivAt.comp_hasDerivAt x hg` + the two rewrites works. The failure in the file must be something contextual — likely the `h2` in the file: `HasDerivAt Real.Gamma (deriv Real.Gamma x) x` — produced via `hd.hasDerivAt` — hmm — the file's h2 proof: `apply Real.differentiableAt_Gamma; intro m hmeq; rw [hmeq] at hx0; simp at hx0; ...` — wait — `apply Real.differentiableAt_Gamma` — its signature: Real.differentiableAt_Gamma {s : ℝ} (hs : ∀ m : ℕ, s ≠ -m) : DifferentiableAt ℝ Gamma s — so `apply Real.differentiableAt_Gamma` — the goal is DifferentiableAt ℝ Real.Gamma x — unify Real.Gamma vs Gamma — inside `Real` namespace issues? — I opened Real in this file — so `Gamma` might resolve to Real.Gamma ✓ — the hypothesis: ∀ m, x ≠ −↑m — intro m hmeq — hmeq : x = −↑m — rw [hmeq] at hx0 : 0 < −↑m — simp at hx0 — normalizes to ↑m < 0 — then linarith with hm : 0 ≤ ↑m ✓. Should be fine.\n\nHmm — the error at 511 remains puzzling but the probe works. The difference: the file has `open Zeta23 Complex Filter Topology Real` — maybe a shadowing... — `Real.log` etc fine. Wait — actually — let me recheck the LAST compile output — it had errors at 511 AND 517 — let me recompile the file NOW and see if the last edits (the h2-restructure with hd.hasDerivAt) changed things. Actually I already restructured h2 in the file (the version with `have hd : DifferentiableAt ... := by ...; exact hd.hasDerivAt`). The last compile was AFTER that edit? Let me check the edit sequence — yes the h2-restructure edit was before the last compile. And the last compile's 511 error persisted. Let me just recompile now and look at the current errors precisely.","signature":""},{"type":"text","text":"The isolated pattern compiles. The file error must be contextual — let me get the current precise errors."},{"type":"tool_use","id":"Bash_375","name":"Bash","input":{"command":"cd \"D:/Python/Quantum/research/lean/NguyenRH1\" && export PATH=\"$HOME/.elan/bin:$PATH\" && lake env lean NguyenRH1/LiDigamma.lean 2>&1 | grep -v \"^$\" | head -35","description":"Recompile LiDigamma current state","timeout":600000},"extra_content":null}]