theorem Th15: :: MESFUN10:15

for X being non empty set
for F1, F2 being Functional_Sequence of X,ExtREAL st dom (F1 . 0) = dom (F2 . 0) & F1 is with_the_same_dom & ( for n being Nat holds F1 . n = - (F2 . n) ) holds
( lim_inf F1 = - (lim_sup F2) & lim_sup F1 = - (lim_inf F2) )