  Let $ \mathfrak{g} $ be a quasitriangular Lie bialgebra over a field $ K $ of
characteristic zero, and let $ \mathfrak{g}^* $ be its dual Lie bialgebra. We
prove that the formal Poisson group $ K\big[\big[\mathfrak{g}^*\big]\big] $ is
a braided Hopf algebra, thus generalizing a result due to Reshetikhin (in the
case $ \, \mathfrak{g} = \mathfrak{sl}(2,K) \, $). The proof is via quantum
groups, using the existence of a quasitriangular quantization of $
\mathfrak{g}^* $, as well as the fact that this one provides also a
quantization of $ K\big[\big[\mathfrak{g}^*\big]\big] \, $.
