  We work on the Lagrangian formulation of the Palatini action. We find that we
must assume the metric compatibility condition for the Palatini action to
describe General Relativity, which condition should hold in quantization. We
find that we must also assume one of the torsion zero condition or the tetrad
compatibility condition. Our results will hold for any action in terms of the
tetrad and the internal connection which describes General Relativity.
