  Covariance is a useful property for handling supergravity theories. In this
paper, we prove a covariance property of supergravity field equations: under
reasonable conditions, field equations of supergravity are covariant modulo
other field equations. We prove that for any supergravity there exist such
covariant equations of motion, other than the regular equations of motion, that
are equivalent to the latter. The relations that we find between field
equations and their covariant form can be used to obtain multiplets of field
equations. In practice, the covariant field equations are easily found by
simply covariantizing the ordinary field equations.
