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Given a bracket-generating distribution $\mathcal{D}$ on a manifold $M$, weprove that maps from an arbitrary manifold $\Sigma$ to $M$, which aretransverse to $\mathcal{D}$, satisfy the complete $h$-principle. This settles aquestion posed by Gromov.

The $h$-Principle for Maps Transverse to Bracket-Generating Distributions