  We analyze the effect of color superconductivity in the transition from hot
hadron matter to quark matter in the presence of a gas of trapped electron
neutrinos. To describe strongly interacting matter we adopt a two-phase picture
in which the hadronic phase is described by means of a non-linear Walecka model
and just deconfined matter through the MIT bag model including color
superconductivity. We impose flavor conservation during the transition in such
a way that just deconfined quark matter is transitorily out of equilibrium with
respect to weak interactions. Our results show that color superconductivity
facilitates the transition for temperatures below $T_c$. This effect may be
strong if the superconducting gap is large enough. As in previous work we find
that trapped neutrinos increase the critical density for deconfinement;
however, if the just deconfined phase is color superconducting this effect is
weaker than if deconfined matter is unpaired. We also explore the effect of
different parametrizations of the hadronic equation of state (GM1 and NL3) and
the effect of hyperons in the hadronic phase. We compare our results with those
previously obtained employing the Nambu-Jona-Lasinio model in the description
of just deconfined matter and show that they are in excellent agreement if the
bag constant $B$ is properly chosen.
