theorem Lm700000:
for
A1 being
SetSequence of
{1,2,3,4} st ( for
n,
k being
Nat holds not
(A1 . n) /\ (A1 . k) = {} ) &
rng A1 c= {{},{1,2},{3,4},{1,2,3,4}} & not
Intersection A1 = {} & not
Intersection A1 = {1,2} & not
Intersection A1 = {3,4} holds
Intersection A1 = {1,2,3,4}