  We address the quantum melting phase transition of the Skyrme crystal. Based
on generic sum rules for two-dimensional, isotropic electron quantum liquids in
the lowest Landau level, we propose analytic expressions for the pair
distribution functions of spin-polarized and spin-unpolarized liquid phases at
filling factors $2/3\leq\nu\leq 1$. From the pair distribution functions we
calculate the energy of such liquid phases and compare with the energy of the
solid phase. The comparison suggests that the quantum melting phase transition
may lie much closer to $\nu=1$ than ever expected.
