theorem :: SYSREL:37

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