Connecting Quantum Contextuality and Genuine Multipartite Nonlocality with the Quantumness Witness

The Clauser–Horne–Shimony–Holt-type noncontextuality inequality and the Svetlichny inequality are derived from the Alicki–van Ryn quantumness witness. Thus connections between quantumness and quantum contextuality, and between quantumness and genuine multipartite nonlocality are established.