  We show that the scalar field of mimetic gravity could be used to construct
diffeomorphism invariant models that reduce to Horava gravity in the
synchronous gauge. The gradient of the mimetic field provides a timelike unit
vector field that allows to define a projection operator of four-dimensional
tensors to three-dimensional spatial tensors. Conversely, it also enables us to
write quantities invariant under space diffeomorphisms in fully covariant form
without the need to introduce new propagating degrees of freedom.
