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← Session 27 — ii′-5c/5d: Davenport disc + FE-reflection bounds

#1376 assistant 2026-08-23 06:13:33.561 UTC · 22768→258 tok open ⤢
thinking (292 chars)
I made a mess — I pasted a big chunk but left the proof of §6 incomplete (it ends mid-calc with `by apply mul_le_mul_of_nonneg_right _ hB ...` unfinished and the rest of the theorem missing). Let me check the IntervalIntegrable.continuousOn_mul signature, then rewrite §6's remainder cleanly.
I left §6's tail incomplete mid-edit. Let me check the remaining signatures, then write the rest properly.
tool: Bash
input
{
  "command": "cd /d/Python/Quantum/zeta-23-lean/.lake/packages/mathlib && grep -rn \"theorem IntervalIntegrable.continuousOn_mul\\|lemma IntervalIntegrable.continuousOn_mul\" Mathlib/ 2>/dev/null | head -2 && grep -rn \"theorem integral_mono_on\\|integral_mul_const\\b\" Mathlib/MeasureTheory/Integral/IntervalIntegral.lean Mathlib/MeasureTheory/Integral/IntervalIntegral/*.lean 2>/dev/null | head -6",
  "description": "Check continuousOn_mul and integral_mono_on signatures"
}
raw content_json (database row)
[{"type":"thinking","thinking":"I made a mess — I pasted a big chunk but left the proof of §6 incomplete (it ends mid-calc with `by apply mul_le_mul_of_nonneg_right _ hB ...` unfinished and the rest of the theorem missing). Let me check the IntervalIntegrable.continuousOn_mul signature, then rewrite §6's remainder cleanly.","signature":""},{"type":"text","text":"I left §6's tail incomplete mid-edit. Let me check the remaining signatures, then write the rest properly."},{"type":"tool_use","id":"Bash_104","name":"Bash","input":{"command":"cd /d/Python/Quantum/zeta-23-lean/.lake/packages/mathlib && grep -rn \"theorem IntervalIntegrable.continuousOn_mul\\|lemma IntervalIntegrable.continuousOn_mul\" Mathlib/ 2>/dev/null | head -2 && grep -rn \"theorem integral_mono_on\\|integral_mul_const\\b\" Mathlib/MeasureTheory/Integral/IntervalIntegral.lean Mathlib/MeasureTheory/Integral/IntervalIntegral/*.lean 2>/dev/null | head -6","description":"Check continuousOn_mul and integral_mono_on signatures"},"extra_content":null}]