{"schema":"vela.problem-packet.v0.1","problem":1023,"statement":"Let $F(n)$ be the maximal size of a family of subsets of $\\{1,\\ldots,n\\}$ such that no set in this family is the union of other members of the family. Is it true that there is a constant $c>0$ such that\\[F(n)\\sim c \\frac{2^n}{n^{1/2}}?\\]","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)"}