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← Session 31 — ii′-5f: tight R-bound 10.5/48 (piece 3 + pinch)

#1805 assistant 2026-08-24 19:05:06.246 UTC · 337→479 tok open ⤢
thinking (619 chars)
§15 compiles clean. Commit 3c, then proceed to 3d (main finset + unit_family_le + bucket counts) and 3e (tail machines). Time check: this session has been long. Let me commit and take stock. The remaining work: 3d (main bucket machine ~250 lines), 3e (two tail tsum machines ~400 lines), assembly (~150 lines). That's still substantial. Per the pacing directive (§8.5 BREAK PROMPT — approaching long sessions should pause and ask), I should consider pausing. But the user said "Let's do it now" for session 036 — continue working through piece 3, committing at clean boundaries. Let me commit 3c and continue with 3d.
§15 compiles. Committing 3c.
tool: Bash
input
{
  "command": "cd D:/Python/Quantum && git add research/lean/NguyenRH1/NguyenRH1/LiTightR.lean && git -c user.name=\"NGUYEN-RH-1\" -c user.email=\"research@local\" commit -m \"$(cat <<'EOF'\nSession 036 (5f-ii piece 3c): farG majorant + norm reduction\n\nLiTightR.lean section 15 (~250 lines): farG (the 4.5m/(x sqrt(1+x^2))\nmajorant), abs_im_le_one_add_mul, farG_summable (dominated by\n18(1+t)^2 m/(1+|gamma|^2) via the normSq comparison), the per-term norm\nidentity seriesDiffTerm_norm_eq, the per-term bound\nseriesDiffTerm_norm_le_farG (||s0-s|| <= 4.5, ||s-rho|| >= x,\n||s0-rho|| >= sqrt(1+x^2)), and far_series_norm_le_farG_tsum (norm-tsum\nreduction). Full file elaborates clean, zero warnings.\nEOF\n)\"",
  "description": "Commit piece-3c sub-stage"
}
raw content_json (database row)
[{"type":"thinking","thinking":"§15 compiles clean. Commit 3c, then proceed to 3d (main finset + unit_family_le + bucket counts) and 3e (tail machines). \n\nTime check: this session has been long. Let me commit and take stock. The remaining work: 3d (main bucket machine ~250 lines), 3e (two tail tsum machines ~400 lines), assembly (~150 lines). That's still substantial. Per the pacing directive (§8.5 BREAK PROMPT — approaching long sessions should pause and ask), I should consider pausing. But the user said \"Let's do it now\" for session 036 — continue working through piece 3, committing at clean boundaries. Let me commit 3c and continue with 3d.","signature":""},{"type":"text","text":"§15 compiles. Committing 3c."},{"type":"tool_use","id":"Bash_164","name":"Bash","input":{"command":"cd D:/Python/Quantum && git add research/lean/NguyenRH1/NguyenRH1/LiTightR.lean && git -c user.name=\"NGUYEN-RH-1\" -c user.email=\"research@local\" commit -m \"$(cat <<'EOF'\nSession 036 (5f-ii piece 3c): farG majorant + norm reduction\n\nLiTightR.lean section 15 (~250 lines): farG (the 4.5m/(x sqrt(1+x^2))\nmajorant), abs_im_le_one_add_mul, farG_summable (dominated by\n18(1+t)^2 m/(1+|gamma|^2) via the normSq comparison), the per-term norm\nidentity seriesDiffTerm_norm_eq, the per-term bound\nseriesDiffTerm_norm_le_farG (||s0-s|| <= 4.5, ||s-rho|| >= x,\n||s0-rho|| >= sqrt(1+x^2)), and far_series_norm_le_farG_tsum (norm-tsum\nreduction). Full file elaborates clean, zero warnings.\nEOF\n)\"","description":"Commit piece-3c sub-stage"},"extra_content":null}]