{"schema":"vela.problem-packet.v0.1","problem":907,"statement":"Let $f:\\mathbb{R}\\to \\mathbb{R}$ be such that $f(x+h)-f(x)$ is continuous for every $h>0$. Is it true that\\[f=g+h\\]for some continuous $g$ and additive $h$ (i.e. $h(x+y)=h(x)+h(y)$)?","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)"}