theorem Th25: :: MESFUNC1:25

for X being set
for S being SigmaField of X
for F being sequence of S
for f being PartFunc of X,ExtREAL
for A being set st ( for n being Nat holds F . n = A /\ (less_dom (f,(- n))) ) holds
A /\ (eq_dom (f,-infty)) = meet (rng F)