theorem Th26: :: GROEB_1:26

for n being Element of NAT
for T being connected admissible TermOrder of n
for L being non empty non degenerated right_complementable almost_left_invertible well-unital distributive Abelian add-associative right_zeroed associative commutative doubleLoopStr
for I being add-closed left-ideal Subset of (Polynom-Ring (n,L))
for G being Subset of (Polynom-Ring (n,L)) st G c= I & ( for f being non-zero Polynomial of n,L st f in I holds
f is_reducible_wrt G,T ) holds
for f being non-zero Polynomial of n,L st f in I holds
f is_top_reducible_wrt G,T