{"schema":"vela.problem-packet.v0.1","problem":474,"statement":"Under what set theoretic assumptions is it true that $\\mathbb{R}^2$ can be $3$-coloured such that, for every uncountable $A\\subseteq \\mathbb{R}^2$, $A^2$ contains a pair of each colour?","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)"}