  In this short note we perform the Hamiltonian analysis of bimetric gravity
with one particular form of potential between two metrics. We find that this
theory have eight secondary constraints. We identify four constraints that are
the first class constraints on condition when the interaction term obeys some
specific condition. We show that for the form of the potential studied in this
paper this condition is obeyed and hence we can interpret these first class
constraints as generators of the diagonal diffeomorphism.
