[{"type":"thinking","thinking":"`harmonic : ℕ → ℚ`, with `harmonic_succ : harmonic (n+1) = harmonic n + (↑(n+1))⁻¹`.\n\nThere's also `Mathlib/NumberTheory/Harmonic/Bounds.lean` — \"provides basic log bounds\"! Let me check — maybe it already has H1/H2 style bounds.","signature":""},{"type":"text","text":"There's a `Harmonic/Bounds.lean` — let me check what log bounds it already has."},{"type":"tool_use","id":"Bash_41","name":"Bash","input":{"command":"grep -n \"theorem\\|lemma\" /d/Python/Quantum/zeta-23-lean/.lake/packages/mathlib/Mathlib/NumberTheory/Harmonic/Bounds.lean | head -30","description":"List theorems in Harmonic/Bounds.lean"},"extra_content":null}]