:: deftheorem Def8 defines lim_right LIMFUNC2:def 8 :
for f being PartFunc of REAL,REAL
for x0 being Real st f is_right_convergent_in x0 holds
for b₃ being Real holds
( b₃ = lim_right (f,x0) iff for seq being Real_Sequence st seq is convergent & lim seq = x0 & rng seq c= (dom f) /\ (right_open_halfline x0) holds
( f /* seq is convergent & lim (f /* seq) = b₃ ) );