theorem Th70: :: PREPOWER:70

for s1, s2 being Rational_Sequence
for a being Real st s1 is convergent & s2 is convergent & lim s1 = lim s2 & a > 0 holds
( a #Q s1 is convergent & a #Q s2 is convergent & lim (a #Q s1) = lim (a #Q s2) )