:: deftheorem defines divergent_in+infty_to-infty LIMFUNC1:def 8 :
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
( r < g & 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 ) ) );