theorem :: CLOPBAN3:31

for X being ComplexNormSpace
for seq being sequence of X
for rseq1 being Real_Sequence st ( for n being Nat holds rseq1 . n = n -root (||.seq.|| . n) ) & ex m being Nat st
for n being Nat st m <= n holds
rseq1 . n >= 1 holds
not ||.seq.|| is summable