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Summary form only given. We describe steps towards the production of a Fermi degenerate of atomic lithium. The experimental approach is to perform sympathetic cooling of /sup 6/Li via elastic collisions with evaporatively cooled /sup 7/Li. In a strongly confining Ioffe-Pritchard trap, evaporative cooling of 7Li to the quantum degenerate regime has been performed. The implication for the achievement of the /sup 6/Li Fermi degeneracy is discussed.