  Based on a classic paper by Ginibre [Commun. Math. Phys. {\bf 8} 26 (1968)]
it is shown that whenever Bogoliubov's approximation, that is, the replacement
of a_0 and a_0^* by complex numbers in the Hamiltonian, asymptotically yields
the right pressure, it also implies the asymptotic equality of |< a_0>|^2/V and
< a_0^*a_0>/V in symmetry breaking fields, irrespective of the existence or
absence of Bose-Einstein condensation. Because the former was proved by Ginibre
to hold for absolutely integrable superstable pair interactions, the latter is
equally valid in this case. Apart from Ginibre's work, our proof uses only a
simple convexity inequality due to Griffiths.
