Same as Figs. 2 and A.1, but without binning the stellar masses, and considering the molecular gas only (top) and the neutral gas (bottom). The correlation between the sSFR and Σ_SFR seen in different stellar mass bins (Fig. 2) is still apparent when stacking all galaxies. At all redshifts, the slope (a) and the dispersion (σ) around the best-fit relation (dash-dotted line) are larger for the neutral gas than for the molecular gas. At all redshifts, the correlation is stronger for molecular gas than for neutral gas.