  In a paper by Popescu and Rohrlich [Phys. Lett. A 166, 293 (1992)] a proof
has been presented showing that any pure entangled multiparticle quantum state
violates some Bell inequality. We point out a gap in this proof, but we also
give a construction to close this gap. It turns out that with some extra effort
all the results from the aforementioned publication can be proven. Our
construction shows how two-particle entanglement can be generated via
performing local projections on a multiparticle state.
