theorem :: SYSREL:31

for R being Relation holds
( ( R * R = R & R * (R \ (id (dom R))) = {} implies ( dom (CL R) = rng R & rng (CL R) = rng R ) ) & ( R * R = R & (R \ (id (dom R))) * R = {} implies ( dom (CL R) = dom R & rng (CL R) = dom R ) ) )