  IceCube has discovered an unresolved and isotropic flux of neutrinos between
10 TeV and 8 PeV. Extragalactic origin for this flux is usually assumed, as
well as a correlation with the sources of cosmic rays. To date, no clear
association with a class of objects has been made. HAWC is a very-high-energy
(VHE, or $\gtrsim$100 GeV) gamma ray observatory in operation in central
Mexico. HAWC has studied 2/3 of the entire sky ($\sim8~sr)$. We use this survey
to search for optically thin sources of cosmic rays and neutrinos, responsible
for IceCube's observations. We have written a simulation of the cosmological
properties of neutrino sources, FIRESONG, to show that under certain
conditions, HAWC should be observing multiple sources. However, HAWC has only
detected 2 extragalactic objects in 760 days of livetime: Mrk 421 and Mrk 501.
This deficiency of detected sources in the extragalactic sky can be used to
constrain the properties of neutrino sources, such as their density in the
local universe. The case HAWC restricts the most is for no evolution in the
density of sources, in which at least 8 objects should have been detected for
the cases not excluded already by IceCube.
