:: deftheorem Def4 defines ||. SEQFUNC2:def 3 :
for D being non empty set
for Y being non empty NORMSTR
for H being Functional_Sequence of D, the carrier of Y
for b4 being Functional_Sequence of D,REAL holds
( b4 = ||.H.|| iff for n being Nat holds b4 . n = ||.(H . n).|| );