theorem Th16: :: INTEGR24:16

for f1, f2 being PartFunc of REAL,REAL
for x0 being Real st f1 is_right_divergent_to-infty_in x0 & ( for r being Real st x0 < r holds
ex g being Real st
( g < r & x0 < g & g in dom (f1 + f2) ) ) & ex r being Real st
( 0 < r & f2 | ].x0,(x0 + r).[ is bounded_above ) holds
f1 + f2 is_right_divergent_to-infty_in x0