  For a left vector space V over a totally ordered division ring F, let Co(V)
denote the lattice of convex subsets of V. We prove that every lattice L can be
embedded into Co(V) for some left F-vector space V. Furthermore, if L is finite
lower bounded, then V can be taken finite-dimensional, and L embeds into a
finite lower bounded lattice of the form $Co(V,Z)=\{X\cap Z | X\in Co(V)\}$,
for some finite subset $Z$ of $V$. In particular, we obtain a new universal
class for finite lower bounded lattices.
