:: deftheorem Def7 defines ^ E_TRANS1:def 6 :
for F being FinSequence of the carrier of (Polynom-Ring INT.Ring)
for b2 being FinSequence of the carrier of (Polynom-Ring F_Real) holds
( b2 = ^ F iff ( dom b2 = dom F & ( for i being Nat st i in dom F holds
b2 . i = ^ (F /. i) ) ) );