← Session 3 — Project kickoff: RH blueprint, staged workflow + archive design
thinking (114 chars)
Two things: (1) answer the git question — confirmed no remotes, fully local; (2) E-006 finished — read the output.
**Git answer, confirmed:** zero remotes configured. The repository lives only at `D:\Python\Quantum\.git` on your machine — no GitHub, no cloud, nothing pushed anywhere. (The only network fetch ever done was *downloading* the public zeta-23-lean repo, which is read-only and git-ignored from our repo.) If you ever want an off-machine backup, we can add a private GitHub remote later — your call, nothing happens without asking.
**E-006 just finished — reading the results.**
tool: Read ok
input
{
"file_path": "C:\\Users\\lucky\\AppData\\Local\\Temp\\nguyen\\ff74d795-3344-493a-8c08-dc1bd8e633e1\\tasks\\bhadjcb73.output"
}
result 2026-08-17 22:45:48Z → 2026-08-24 11:58:33Z
{
"type": "text",
"file": {
"filePath": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiTightR.lean",
"content": " have ht1 : w\u2080 + ((s.re / 2 + 1 : \u211d) : \u2102) = w + 2 := by\n have hw\u2080re_val : w\u2080.re = 1 := by rw [hw\u2080eq]; simp\n have hre : (w\u2080 + ((s.re / 2 + 1 : \u211d) : \u2102)).re = (w + 2).re := by\n have hw2re : (w + 2).re = s.re / 2 + 2 := by\n have h : (w + 2).re = w.re + 2 := by simp\n rw [h, hwre]\n rw [Complex.add_re, hw\u2080re_val, Complex.ofReal_re, hw2re]\n ring\n have him' : (w\u2080 + ((s.re / 2 + 1 : \u211d) : \u2102)).im = (w + 2).im := by\n have hw2im : (w + 2).im = t / 2 := by\n have h : (w + 2).im = w.im := by simp\n rw [h, hwim]\n rw [Complex.add_im, hw\u2080im, Complex.ofReal_im, hw2im]\n ring\n rw [Complex.ext_iff]\n exact \u27e8hre, him'\u27e9\n linear_combination ht1\n rw [h1, hsub, norm_mul, norm_div, Complex.norm_real]\n have hc : |s.re / 2 + 1| \u2264 5 / 2 := by\n rw [abs_le]\n constructor <;> linarith\n have h12n : \u2016(1 / 2 : \u2102)\u2016 = 1 / 2 := by\n rw [show (1 / 2 : \u2102) = ((1 / 2 : \u211d) : \u2102) by push_cast; ring, Complex.norm_real]\n norm_num\n rw [h12n]\n have hprod : (t / 2) * (t / 2) \u2264 \u2016w\u2080\u2016 * \u2016w + 2\u2016 :=\n mul_le_mul hw0norm hw2norm (by positivity) (by positivity)\n calc (1 / 2) * (|s.re / 2 + 1| / (\u2016w\u2080\u2016 * \u2016w + 2\u2016))\n \u2264 (1 / 2) * ((5 / 2) / (\u2016w\u2080\u2016 * \u2016w + 2\u2016)) := by\n apply mul_le_mul_of_nonneg_left _ (by norm_num)\n exact div_le_div_of_nonneg_right hc (by positivity)\n _ \u2264 (1 / 2) * ((5 / 2) / ((t / 2) * (t / 2))) := by\n apply mul_le_mul_of_nonneg_left _ (by norm_num)\n exact div_le_div_of_nonneg_left (by norm_num) (by positivity) hprod\n _ = 5 / t ^ 2 := by field_simp; ring\n have hw1b : \u2016(w : \u2102)\u207b\u00b9\u2016 \u2264 2 / t := by\n rw [norm_inv]\n have hpos : (0 : \u211d) < \u2016w\u2016 := by positivity\n calc \u2016w\u2016\u207b\u00b9 \u2264 (t / 2)\u207b\u00b9 := by\n rw [inv_le_inv\u2080 hpos (by positivity : (0 : \u211d) < t / 2)]\n exact hwnorm\n _ = 2 / t := by rw [inv_div]\n have hw1'b : \u2016(w + 1 : \u2102)\u207b\u00b9\u2016 \u2264 2 / t := by\n rw [norm_inv]\n have hpos : (0 : \u211d) < \u2016w + 1\u2016 := by positivity",
"numLines": 45,
"startLine": 717,
"totalLines": 818
}
}
raw content_json (database row)
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