Proving the low energy theorem of hidden local symmetry.

Based on the Ward-Takahashi identity for the Becchi-Rouet-Stora symmetry, we prove to all orders of the loop expansion the low energy theorem of hidden local symmetry for the vector mesons (a version of the Kawarabayashi-Suzuki-Riazuddin-Fayyazuddin relation) in the U([ital N])[sub [ital L]][times]U([ital N])[sub [ital R]]/U([ital N])[sub [ital V]] nonlinear chiral Lagrangian.