← Session 30 — ii′-5e squeeze capstone + 5f perimeter repair
thinking (239 chars)
Clean compile — piece 6 done! Build the olean and commit. It's ~2:45 AM. The user approved "Continue with piece 6" — done. Let me build, commit, and report. Piece 3 (the big one) is next but at 2:45 AM that's a natural point to checkpoint.
Piece 6 compiles clean. Building and committing.
tool: Bash
input
{
"command": "cd D:/Python/Quantum/research/lean/NguyenRH1 && export PATH=\"$HOME/.elan/bin:$PATH\" && lake build NguyenRH1.LiTightR 2>&1 | tail -2 && 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 \"$(cat <<'EOF'\nSession 035 (5f-ii piece 6 COMPLETE): the digamma difference bound\n\nLiTightR.lean \u00a78 (~290 new lines, clean, zero warnings):\n- log_diff_le: the log difference along the constant-imaginary segment\n (the segment FTC: z(y) = w0 + y*c with im constant t/2, slit-plane via\n im != 0; HasDerivAt.comp + comp_ofReal; the integral bound\n intervalIntegral.norm_integral_le_of_norm_le_const) <= 5/t.\n- digamma_diff_le (piece 6): |(psi(s/2) - psi(s0/2))/2| <= 6/t via the\n +2 shift (re(w+2) >= 3/4), StirlingVert.digamma_stirling at w+2 and\n w0 (the remainders <= 3/(t/2)^2 each), the recurrence\n digamma_add_natCast, and log_diff_le; the six-term norm chain closes\n by per-step norm_add_le/norm_sub_le haves + linarith; the fold\n 9/t + 29/t^2 <= 12/t at t >= 10.\n\nBanked: the (t/2)*I elaboration puts the division in C \u2014 write the\nreal-cast-first form ((t/2 : R) : C)*I; re/im ext-goals via explicit\nper-component rw chains (Complex.add_re + the value haves + ring),\nnever constructor+simp (simp's close-vs-reduce is unpredictable);\nfield_simp [hx0] can close the goal (no trailing ring); the\nlinear_combination sign is -ht1 when goal_diff = -ht1_diff;\nSet.uIoc (the I-notation's real name); Real.norm_eq_abs after\nComplex.norm_real for the |c| form.\nEOF\n)\" && git log --oneline -1",
"description": "Build and commit piece 6",
"timeout": 600000
}
raw content_json (database row)
[{"type":"thinking","thinking":"Clean compile — piece 6 done! Build the olean and commit. It's ~2:45 AM. The user approved \"Continue with piece 6\" — done. Let me build, commit, and report. Piece 3 (the big one) is next but at 2:45 AM that's a natural point to checkpoint.","signature":""},{"type":"text","text":"Piece 6 compiles clean. Building and committing."},{"type":"tool_use","id":"Bash_271","name":"Bash","input":{"command":"cd D:/Python/Quantum/research/lean/NguyenRH1 && export PATH=\"$HOME/.elan/bin:$PATH\" && lake build NguyenRH1.LiTightR 2>&1 | tail -2 && cd D:/Python/Quantum && git add research/lean/NguyenRH1/NguyenRH1/LiTightR.lean && git -c user.name=\"NGUYEN-RH-1\" -c user.email=\"research@local\" commit -m \"$(cat <<'EOF'\nSession 035 (5f-ii piece 6 COMPLETE): the digamma difference bound\n\nLiTightR.lean §8 (~290 new lines, clean, zero warnings):\n- log_diff_le: the log difference along the constant-imaginary segment\n (the segment FTC: z(y) = w0 + y*c with im constant t/2, slit-plane via\n im != 0; HasDerivAt.comp + comp_ofReal; the integral bound\n intervalIntegral.norm_integral_le_of_norm_le_const) <= 5/t.\n- digamma_diff_le (piece 6): |(psi(s/2) - psi(s0/2))/2| <= 6/t via the\n +2 shift (re(w+2) >= 3/4), StirlingVert.digamma_stirling at w+2 and\n w0 (the remainders <= 3/(t/2)^2 each), the recurrence\n digamma_add_natCast, and log_diff_le; the six-term norm chain closes\n by per-step norm_add_le/norm_sub_le haves + linarith; the fold\n 9/t + 29/t^2 <= 12/t at t >= 10.\n\nBanked: the (t/2)*I elaboration puts the division in C — write the\nreal-cast-first form ((t/2 : R) : C)*I; re/im ext-goals via explicit\nper-component rw chains (Complex.add_re + the value haves + ring),\nnever constructor+simp (simp's close-vs-reduce is unpredictable);\nfield_simp [hx0] can close the goal (no trailing ring); the\nlinear_combination sign is -ht1 when goal_diff = -ht1_diff;\nSet.uIoc (the I-notation's real name); Real.norm_eq_abs after\nComplex.norm_real for the |c| form.\nEOF\n)\" && git log --oneline -1","description":"Build and commit piece 6","timeout":600000},"extra_content":null}]