  Freedom from global anomalies in the presence of a local SU(2)_H horizontal
symmetry under which right handed charged leptons transform nontrivially
requires that there be at least two right handed neutrinos with masses of order
of the horizontal symmetry breaking scale. If a third right handed neutrino is
introduced to satisfy quark lepton symmetry, it is unprotected by the
horizontal symmetry, becomes superheavy with a Planck scale mass and decouples
from lower energy physics. The resulting seesaw mechanism with two right handed
neutrinos in combination with the horizontal symmetry leads naturally to a near
bimaximal pattern for the neutrino mixing with an inverted mass hierarchy and
is compatible with all data. It predicts a correlation between the solar mixing
angle and U_{e3}, that is testable in the proposed long baseline experiments.
