theorem Th41: :: MESFUNC9:41

for X being non empty set
for S being SigmaField of X
for E being Element of S
for F being Functional_Sequence of X,ExtREAL
for m being Nat st ( for n being Nat holds
( F . n is E -measurable & F . n is without-infty ) ) holds
(Partial_Sums F) . m is E -measurable