  The external fermion propagator and the internal fermion propagator in the
overlap are given by different matrices. A generic problem (formulated by
Pelissetto) faced by all chiral, non-local, propagators of Rebbi type is
avoided in this manner. Nussinov-Weingarten-Witten mass inequalities are
exactly preserved. It is sketched how to obtain simple lattice chiral Yukawa
models and simple expressions for covariant currents. Going beyond my oral
presentation, I have added to the write-up several comments on Niedermayer's
talk. His transparencies are available on the internet.
