theorem :: LIMFUNC1:92

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
( g < r & 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) )