{"schema":"vela.problem-packet.v0.1","problem":532,"statement":"If $\\mathbb{N}$ is 2-coloured then is there some infinite set $A\\subseteq \\mathbb{N}$ such that all finite subset sums\\[ \\sum_{n\\in S}n\\](as $S$ ranges over all non-empty finite subsets of $A$) are monochromatic?","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)"}