  Motivated by the recent experiment in multilayered cuprate superconductors
reporting the enhancement of antiferromagnetic order below the superconducting
transition temperature, we study the proximity effect of the antiferromagnetic
correlation in a bilayer system and also examine the possibility of a
coexistence of antiferromagnetic order and superconductivity. We present the
result of mean field theory that is consistent with the experiment and supports
the proximity effect picture.
