theorem :: ASYMPT_1:41

ex F being FUNCTION_DOMAIN of NAT , REAL st
( F = {(seq_n^ 1)} & ( for n being Element of NAT holds (seq_n^ (- 1)) . n <= (seq_n^ 1) . n ) & not seq_n^ (- 1) in F to_power (Big_Oh (seq_const 1)) )