  We derive a monogamy inequality for any local quantum resource and
entanglement. It results from the fact that there is always a convex measure
for a quantum resource, as shown here, and from the relation between
entanglement and local entropy. One of its consequences is an entanglement
monogamy different from that usually discussed. If the local resource is
nonuniformity or coherence, it is satisfied by familiar resource and
entanglement measures. The ensuing upper bound for the local coherence,
determined by the entanglement, is independent of the basis used to define the
coherence.
