Again, you can nest the split environment (from the amsmath package) in your displaymath :
\documentclass{article} \usepackage{amsmath} \begin{document} \begin{displaymath} \begin{split} \pi_D^B (r) = & \{z^{(|D|+1)} | \exists x \in r(z[D]=x[D]) \wedge \\ & \forall y \in r (y[D]=z[D] \Rightarrow y[T] \subseteq z[T]) \wedge \\ & \forall y \in z[T \exists y \in r (y[D]=z[D] \wedge t \in y[T])\} \end{split} \end{displaymath} \end{document}

I think you should fix z[T \exists in the last line.
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