A generalization of the Picard theorem

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.}