  Energy levels of the double-$\Lambda$ hypernuclei
$_\Lambda^{}$$_\Lambda^7$He, $_\Lambda^{}$$_\Lambda^7$Li,
$_\Lambda^{}$$_\Lambda^8$Li, $_\Lambda^{}$$_\Lambda^9$Li,
$_\Lambda^{}$$_\Lambda^9$Be and $_\Lambda^{}$$_\Lambda^{10}$Be are predicted on
the basis of the $\alpha+x+\Lambda +\Lambda$ four-body model with $x=n, p, d,
t, ^3$He and $\alpha$, respectively.
