# Bolzano-Weierstraß for $\mathbb{R}^m$

Im trying to proof Bolzano-Weierstraß in $\mathbb{R}^m$.

Could not find anything in the internet.

I suppose I have to consider the Bolzano-Weierstraß Theorem for the first dimension and use it for every row. But dont know how to "sum up" these results? With induction?