  When two-dimensional electrons are subjected to a very strong magnetic field,
they are believed to form a triangular Wigner crystal. We demonstrate that, in
the entire crystal phase, this crystal is very well represented by a
composite-fermion-crystal wave function, revealing that it is not a simple
Hartree-Fock crystal of electrons but an inherently quantum mechanical crystal
characterized by a non-perturbative binding of quantized vortices to electrons,
which establishes a long range quantum coherence in it. It is suggested that
this has qualitative consequences for experiment.
