  Supersymmetric contributions to all leptonic electromagnetic dipole operators
have essentially identical diagramatic structure. With approximate slepton
universality this allows the muon anomalous magnetic moment to be related to
the electron electric dipole moment in terms of supersymmetric phases, and to
radiative flavor changing lepton decays in terms of small violations of slepton
universality. If the current discrepancy between the measured and Standard
Model values of the muon anomalous magnetic moment is due to supersymmetry, the
current bound on the electron electric dipole moment then implies that the
phase of the electric dipole operator is less than $2 \times 10^{-3}$. Likewise
the current bound on $\mu \to e \gamma$ decay implies that the fractional
selectron-smuon mixing in the left-left mass squared matrix, $\delta m_{\smuon
\selectron}^2 / m_{\slepton}^2$, is less than $10^{-4}$. These relations and
constraints are fairly insensitive to details of the superpartner spectrum for
moderate to large $\tan \beta$.
