Is a grant of use immunity sufficient to overcome the Fifth Amendment privilege against self-incrimination?

A grant of use immunity pursuant to 18 U.S.C. Sec. 6003 clearly prohibits the use of compelled testimony in state courts. See In re Grand Jury Proceedings (United States v. Mena), 662 F.2d 532, 533-34 (9th Cir.1981) (per curiam). "The federal grant of use immunity is sufficient to overcome the Fifth Amendment privilege against self-incrimination." See United States v. Rose, 806 F.2d 931, 932 (9th Cir.1986). The fact that a state sees fit to provide broader transactional immunity is irrelevant where the question arises in federal court in response to federal charges. See id. ²