  We recall the notions of conformal and quasiconformal mappings \textit{in the
sense of Gromov}, extending the classical notions of conformal and
quasiconformal mappings, and prove the following theorem. {\em If the mapping $
F: \mathbb{R}^{n} \to \mathbb{R}^{2} $, where $ n \geq 2 $, quasiconformal in
the sense of Gromov, omits more than one value on the plane $\mathbb{R}^{2} $,
then it is a constant mapping.}
