{"schema":"vela.problem-packet.v0.1","problem":476,"statement":"Let $A\\subseteq \\mathbb{F}_p$. Let\\[A\\hat{+}A = \\{ a+b : a\\neq b \\in A\\}.\\]Is it true that\\[\\lvert A\\hat{+}A\\rvert \\geq \\min(2\\lvert A\\rvert-3,p)?\\]","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)"}