for f1, f2 being PartFunc of REAL,REAL st f1 is convergent_in+infty & f2 is convergent_in+infty & ( for r being Real ex g being Real st
( r < g & g in dom (f1 (#) f2) ) ) holds
( f1 (#) f2 is convergent_in+infty & lim_in+infty (f1 (#) f2) = (lim_in+infty f1) * (lim_in+infty f2) )