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Since G is finite, there is no problem with just repeating the proof in the case G=e, using Z-graded homotopy group functors on the orbit category. Take D^{\leq n} to be the spectra whose homotopy groups \pi_q(X^H) are zero for q>n, and dually for D^{\geq n}. The intersection for n\leq 0 and n\geq 0 consists of the Eilenberg-MacLane G-spectra K(M,0) for Mackey functors M. Peter May