  We show that the coefficients of operators in the electroweak chiral
Lagrangian can be bounded if the underlying theory obeys the usual assumptions
of Lorentz invariance, analyticity, unitarity and crossing to arbitrarily short
distances. Violations of these bounds can be explained by either the existence
of new physics below the naive cut-off of the the effective theory, or by the
breakdown of one of these assumptions in the short distance theory. As a
corollary, if no light resonances are found, then a measured violation of the
bound would falsify generic models of string theory.
