Un-evolved mass function of subhalos accreted within different ranges [−0.5, 0.0] (solid lines), [−1.0,−0.5] (dotted), [−1.5,−1.0] (dashed), [−2.0,−1.5] (long dashed), and [−2.5,−2.0] (dot-dashed). For each range of , results are shown with the same line style for host halos of four different masses: M ₀ ~ 10 ^14.5, 10 ^14.0, 10 ^13.0, and 10 ^12.0  h ⁻¹  M _☉. Note that shown in this way the results for different M ₀ are almost indistinguishable.