:: deftheorem defines divergent_in-infty_to+infty LIMFUNC1:def 10 :
for f being PartFunc of REAL,REAL holds
( f is divergent_in-infty_to+infty iff ( ( for r being Real ex g being Real st
( g < r & g in dom f ) ) & ( for seq being Real_Sequence st seq is divergent_to-infty & rng seq c= dom f holds
f /* seq is divergent_to+infty ) ) );