Cumulative coarse‐grained distribution function ﹩s( \overline{f}) ﹩ of a remnant from the equal‐mass merger of progenitors with ﹩V_{\mathrm{vir}\,}=500﹩ km s⁻¹ as a function of progenitor gas fraction. Shown is the fraction ﹩s( \overline{f}) ﹩ of remnant stellar mass with phase‐space densities greater than ﹩\overline{f}﹩ for mergers with ﹩f_{\mathrm{gas}\,}=0.01﹩ (red line), ﹩f_{\mathrm{gas}\,}=0.025﹩ (orange line), ﹩f_{\mathrm{gas}\,}=0.05﹩ (green line), ﹩f_{\mathrm{gas}\,}=0.1﹩ (blue line), ﹩f_{\mathrm{gas}\,}=0.2﹩ (purple line), and ﹩f_{\mathrm{gas}\,}=0.4﹩ (black line). For gas fractions ﹩f_{\mathrm{gas}\,}< 0.2﹩, the phase‐space density distributions of the remnants do not change appreciably; the binding energies of the stars do not increase greatly relative to those in a collisionless merger as dissipation is not efficient at altering the structure of the galaxy. For a gas fraction ﹩f_{\mathrm{gas}\,}> 0.2﹩ the phase‐space density distribution of the remnant increases at moderate phase‐space densities relative to the dissipationless remnant, but not dramatically. The comparatively small shift in ﹩s( \overline{f}) ﹩ for massive ellipticals formed in gas‐rich mergers relative to the larger resultant shift in low‐mass ellipticals results in a mass‐dependent trend in M_total/M (see Figs. 14– 15).