{"schema":"vela.problem-packet.v0.1","problem":774,"statement":"We call $A\\subset \\mathbb{N}$ dissociated if $\\sum_{n\\in X}n\\neq \\sum_{m\\in Y}m$ for all finite $X,Y\\subset A$ with $X\\neq Y$. Let $A\\subset \\mathbb{N}$ be an infinite set. We call $A$ proportionately dissociated if every finite $B\\subset A$ contains a dissociated set of size $\\gg \\lvert B\\rvert$.Is every proportionately dissociated set the union of a finite number of dissociated sets?","status":"open","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)"}