  We consider the Ising model on $\mathbb Z\times \mathbb Z$ where on each
horizontal line $\{(x,i), x\in \mathbb Z\}$, the interaction is given by a
ferromagnetic Kac potential with coupling strength $J_\gamma(x,y)\sim \gamma
J(\gamma (x-y))$ at the mean field critical temperature. We then add a nearest
neighbor ferromagnetic vertical interaction of strength $\epsilon$ and prove
that for every $\epsilon >0$ the systems exhibits phase transition provided
$\gamma>0$ is small enough.
