{"schema":"vela.problem-packet.v0.1","problem":739,"statement":"Let $\\mathfrak{m}$ be an infinite cardinal and $G$ be a graph with chromatic number $\\mathfrak{m}$. Is it true that, for every infinite cardinal $\\mathfrak{n}< \\mathfrak{m}$, there exists a subgraph of $G$ with chromatic number $\\mathfrak{n}$?","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)"}