Current task: —

← Session 29 — ii′-5e-v: circle bound (far-tail + series bounds)

#1647 assistant 2026-08-24 03:07:37.900 UTC · 1304→527 tok open ⤢
thinking (1228 chars)
Errors remaining: 1. Line 3235 (hRmin's garbled h5 block): the leftover garbled code with h6/h7/h8 — my planned rewrite of hRmin. Let me just rewrite the whole hRmin/hre_neg/hlt/h4 block with the clean versions I designed. 2. Line 3243: `MulLeftStrictMono ℝ` synth failure — the `(mul_lt_mul_right hRpos).mp` — wrong instance name in this Mathlib (it's `mul_lt_mul_right` needing MulLeftStrictMono — in ℝ it should exist... the error says failed to synthesize MulLeftStrictMono ℝ — this Mathlib version uses a different class: maybe `mul_lt_mul_right` requires an argument order or it's `mul_lt_mul_right (h : 0 < c)` in an OrderedField with... just avoid: use `(div_lt_iff₀ hRpos).mpr` hmm: R−|s.re| < 100/R ⟺ (R−|s.re|)·R < 100 ⟸ div_lt_iff₀: `a < b / c ↔ a * c < b` (0 < c): `(div_lt_iff₀ hRpos).mpr (by linarith [h6, h7-ish] : (R - |s.re|) * R < 100)` — need (R−|s.re|)*R < 100 — that's h6 ✓ but the b-form: div_lt_iff₀ : a < b/c ↔ a*c < b ✓ so mpr h6' where h6' : (R−|s.re|)*R < 100 ✓ h6 directly (with h7 not needed). 3. Line 3257: the leftover garbled hre_neg/h10 — rewrite. Let me rewrite the whole block from `have hRmin` through the end of `hdist`'s h4 cleanly. Read the current text first to get exact boundaries.
Let me view the garbled region and rewrite it wholesale.
tool: Read
input
{
  "file_path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiCircleBound.lean",
  "offset": 3216,
  "limit": 120
}
raw content_json (database row)
[{"type":"thinking","thinking":"Errors remaining:\n\n1. Line 3235 (hRmin's garbled h5 block): the leftover garbled code with h6/h7/h8 — my planned rewrite of hRmin. Let me just rewrite the whole hRmin/hre_neg/hlt/h4 block with the clean versions I designed.\n\n2. Line 3243: `MulLeftStrictMono ℝ` synth failure — the `(mul_lt_mul_right hRpos).mp` — wrong instance name in this Mathlib (it's `mul_lt_mul_right` needing MulLeftStrictMono — in ℝ it should exist... the error says failed to synthesize MulLeftStrictMono ℝ — this Mathlib version uses a different class: maybe `mul_lt_mul_right` requires an argument order or it's `mul_lt_mul_right (h : 0 < c)` in an OrderedField with... just avoid: use `(div_lt_iff₀ hRpos).mpr` hmm: R−|s.re| < 100/R ⟺ (R−|s.re|)·R < 100 ⟸ div_lt_iff₀: `a < b / c ↔ a * c < b` (0 < c): `(div_lt_iff₀ hRpos).mpr (by linarith [h6, h7-ish] : (R - |s.re|) * R < 100)` — need (R−|s.re|)*R < 100 — that's h6 ✓ but the b-form: div_lt_iff₀ : a < b/c ↔ a*c < b ✓ so mpr h6' where h6' : (R−|s.re|)*R < 100 ✓ h6 directly (with h7 not needed).\n\n3. Line 3257: the leftover garbled hre_neg/h10 — rewrite.\n\nLet me rewrite the whole block from `have hRmin` through the end of `hdist`'s h4 cleanly. Read the current text first to get exact boundaries.","signature":""},{"type":"text","text":"Let me view the garbled region and rewrite it wholesale."},{"type":"tool_use","id":"Read_185","name":"Read","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiCircleBound.lean","offset":3216,"limit":120},"extra_content":null}]