← Session 30 — ii′-5e squeeze capstone + 5f perimeter repair
thinking (343 chars)
Both exist:
- `Complex.dist_le_div_mul_dist_of_mapsTo_ball (hd : DifferentiableOn ℂ f (ball c R₁)) ...` at Schwarz.lean:190. Let me read its full signature.
- `Real.log_le_rpow_div {x ε : ℝ} (hx : 0 ≤ x) (hε : 0 < ε) : log x ≤ x ^ ε / ε` — so log x ≤ x^ε / ε. With ε = 1/4: log x ≤ 4·x^{1/4}.
Let me read the Schwarz lemma signature in full.
Both exist. Reading the exact Schwarz signature and the Zeta23 sphere lemma.
tool: Bash
input
{
"command": "M=D:/Python/Quantum/zeta-23-lean/.lake/packages/mathlib/Mathlib; sed -n '180,215p' $M/Analysis/Complex/Schwarz.lean; echo ===; sed -n '25,60p' D:/Python/Quantum/zeta-23-lean/Zeta23/FromPNTPlus/StrongPNTPrefix.lean",
"description": "Read Schwarz lemma and sphere lemma signatures"
}
raw content_json (database row)
[{"type":"thinking","thinking":"Both exist:\n- `Complex.dist_le_div_mul_dist_of_mapsTo_ball (hd : DifferentiableOn ℂ f (ball c R₁)) ...` at Schwarz.lean:190. Let me read its full signature.\n- `Real.log_le_rpow_div {x ε : ℝ} (hx : 0 ≤ x) (hε : 0 < ε) : log x ≤ x ^ ε / ε` — so log x ≤ x^ε / ε. With ε = 1/4: log x ≤ 4·x^{1/4}. \n\nLet me read the Schwarz lemma signature in full.","signature":""},{"type":"text","text":"Both exist. Reading the exact Schwarz signature and the Zeta23 sphere lemma."},{"type":"tool_use","id":"Bash_17","name":"Bash","input":{"command":"M=D:/Python/Quantum/zeta-23-lean/.lake/packages/mathlib/Mathlib; sed -n '180,215p' $M/Analysis/Complex/Schwarz.lean; echo ===; sed -n '25,60p' D:/Python/Quantum/zeta-23-lean/Zeta23/FromPNTPlus/StrongPNTPrefix.lean","description":"Read Schwarz lemma and sphere lemma signatures"},"extra_content":null}]