  A recently-proposed algorithm identifies voids in simulations as the regions
associated with halos when the initial overdensity field is negated. We apply
this method to the real Universe by running a suite of constrained simulations
of the 2M++ volume with initial conditions inferred by the BORG algorithm,
along with the corresponding inverted set. Our 101 inverted and uninverted
simulations, spanning the BORG posterior, each identify ~150,000 "voids as
antihalos" with mass exceeding $4.38\times10^{11} \: \mathrm{M_\odot}$ (100
particles) at $z=0$ in a full-sky sphere of radius 155 Mpc/h around the Milky
Way. We calculate the size function, volume filling fraction, ellipticity,
central density, specific angular momentum, clustering and stacked density
profile of the voids, and cross-correlate them with those produced by VIDE on
the same simulations. We make our antihalo and VIDE catalogues publicly
available.
