for x0 being Real
for f1, f2 being PartFunc of REAL,REAL st f1 is_right_divergent_to+infty_in x0 & f2 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) /\ (dom f2) ) ) holds
( f1 + f2 is_right_divergent_to+infty_in x0 & f1 (#) f2 is_right_divergent_to+infty_in x0 )