  Continued observation of PSR J0737-3039, the double pulsar, is expected to
yield a precise determination of its primary component's moment of inertia in
the next few years. Since the moment of inertia depends sensitively on the
neutron star's internal structure, such a measurement will constrain the
equation of state of ultra-dense matter, which is believed to be universal.
Independent equation-of-state constraints have already been established by the
gravitational-wave measurement of the neutron-star tidal deformability in
GW170817. Here, using well-known universal relations among neutron star
observables, we translate the reported 90%-credible bounds on tidal
deformability into a direct constraint, $I_{\star} = 1.15^{+0.38}_{-0.24}
\times 10^{45} \text{ g cm}^2$, on the moment of inertia of PSR J0737-3039A.
Should a future astrophysical measurement of $I_{\star}$ disagree with this
prediction, it could indicate a breakdown in the universality of the
neutron-star equation of state.
