for fi being Ordinal-Sequence
for A being Ordinal
for f1, f2 being Ordinal-Sequence st dom f1 = dom fi & dom fi = dom f2 & A is_limes_of f1 & A is_limes_of f2 & ( for A being Ordinal st A in dom fi holds
( f1 . A c= fi . A & fi . A c= f2 . A ) ) holds
A is_limes_of fi