[{"type":"thinking","thinking":"Section 2 compiles — the real digamma identity `psiReal_eq_DinfR` is PROVED: Γ'(x)/Γ(x) = −γ − 1/x + Σ_{m≥1}(1/m − 1/(x+m)) for x > 0.\n\nGiven the late hour (~23:30), let me commit this milestone NOW (crash-safe), then continue with Section 3 (the complex series + identity principle). Actually let me commit with the intermediate state (LiDigamma.lean compiles; not yet in root). Quick commit, then continue.","signature":""},{"type":"text","text":"Section 2 compiles — the real digamma identity is proved. Committing this milestone (crash-safe), then continuing to the complex side."},{"type":"tool_use","id":"Bash_341","name":"Bash","input":{"command":"cd \"D:/Python/Quantum\" && git add research/lean/NguyenRH1/NguyenRH1/LiDigamma.lean && git -c user.name=\"NGUYEN-RH-1\" -c user.email=\"research@local\" commit -m \"$(cat <<'EOF'\nSession 020 (WIP): LiDigamma — the real digamma series identity\n\npsiReal_eq_DinfR: Γ'(x)/Γ(x) = −γ − 1/x + Σ_{m≥1}(1/m − 1/(x+m))\nfor x > 0 — built from BohrMollerup's logGammaSeq via the deriv-limit\ninterchange (hasDerivAt_of_tendstoLocallyUniformlyOn) with the\nWeierstrass M-test on compacts (tendstoUniformlyOn_tsum_nat) and the\nharmonic-sub-log limit. Not yet in package root.\nEOF\n)\" && git log --oneline -1","description":"Commit LiDigamma sections 1-2"},"extra_content":null}]