theorem Th24: :: GROEB_1:24

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 Subset of (Polynom-Ring (n,L))
for G being non empty Subset of (Polynom-Ring (n,L)) st G is_Groebner_basis_of I,T holds
for f being Polynomial of n,L st f in I holds
PolyRedRel (G,T) reduces f, 0_ (n,L) by Th15;