theorem T88b: :: RING_4:41

for F being Field
for p being Element of the carrier of (Polynom-Ring F) holds
( ( p = 0_. F or p is Unit of (Polynom-Ring F) or ex q being Element of the carrier of (Polynom-Ring F) st
( q divides p & 1 <= deg q & deg q < deg p ) ) iff p is reducible )