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.