  Braided-Lie bialgebras have been introduced by Majid, as the Lie versions of
Hopf algebras in braided categories. In this paper we extend previous work of
Majid and of ours to show that there is a braided-Lie bialgebra associated to
each inclusion of Kac-Moody bialgebras. Doing so, we obtain many new examples
of infinite-dimensional braided-Lie bialgebras. We analyze further the case of
untwisted affine Kac-Moody bialgebras associated to finite-dimensional simple
Lie algebras. The inclusion we study is that of the finite-type algebra in the
affine algebra. This braided-Lie bialgebra is isomorphic to the current algebra
over the simple Lie algebra, now equipped with a braided cobracket. We give
explicit expressions for this braided cobracket for the simple Lie algebra
$sl_3$.
