theorem Th23:
for
A,
A1,
A2,
B,
B1,
B2 being non
empty set holds
( (
[:A1,B1:] misses [:A2,B2:] &
[:A,B:] = [:A1,B1:] \/ [:A2,B2:] ) iff ( (
A1 misses A2 &
A = A1 \/ A2 &
B = B1 &
B = B2 ) or (
B1 misses B2 &
B = B1 \/ B2 &
A = A1 &
A = A2 ) ) )