{"schema":"vela.problem-packet.v0.1","problem":194,"statement":"Let $k\\geq 3$. Must any ordering of $\\mathbb{R}$ contain a monotone $k$-term arithmetic progression, that is, some $x_1<\\cdots<x_k$ which forms an increasing or decreasing $k$-term arithmetic progression?","status":"solved","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}