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cat _posts/2026-09-13-leanfrontier-a-stranger-ran-the-same-machine-field-note-11.md

LeanFrontier: a stranger ran the same machine (Field Note 11)

Field Note 11 — “A Stranger Ran the Same Machine” — records the corpus’s first contribution from a first-time outside author: qazW12345, whose fork was the previous day’s news, sent PR #175 formalizing Nesbitt’s inequality, 3/2 ≤ a/(b+c) + b/(c+a) + c/(a+b), by clearing a positive common denominator onto 2N - 3D = (a-b)²(a+b) + (b-c)²(b+c) + (c-a)²(c+a). The only human intervention was approving the paused first-time-fork workflow; the trusted receiver then accepted the submission in 107 seconds — 61 added lines, no exact Mathlib fingerprint match, a kernel replay pass and an allowed axiom closure of propext, Classical.choice and Quot.sound — and the theorem is now importable as LeanFrontier.Analysis.Nesbitt, with the report and observation persisted by the usual generated changes (PR #178). Nobody judged the proof’s elegance or importance, which is the point: an unfamiliar contributor reached the same boundary through the ordinary public route. The corpus is at carlok.github.io/LeanFrontier.