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S.S. Lam and A.U. Shankar (1982) have proposed a projection method for protocol verification. They claim that the method guarantees the faithfulness of the safety and liveness properties of a protocol system. Although not clearly defined, `faithfulness' appears to mean that `the image protocol system is live (respectively, safe) if and only if the original protocol system is live (respectively, safe). It is shown that the `only if' part is not true for certain liveness properties, and a remedy is suggested.