We derive a Pauli exclusion principle for extended fermion-based anyons of
any positive radius and any non-trivial statistics parameter. That is, we
consider 2D fermionic particles coupled to magnetic flux tubes of non-zero
radius, and prove a Lieb-Thirring inequality for the corresponding many-body
kinetic energy operator. The implied constant is independent of the radius of
the flux tubes, and proportional to the statistics parameter.