
theorem Th24: :: theorem 5.38 (o) ==> (i), p. 207
  for n being Element of NAT, T being connected admissible
  TermOrder of n, L being add-associative right_complementable right_zeroed
commutative associative well-unital distributive Abelian almost_left_invertible
non degenerated non empty doubleLoopStr, I being Subset of Polynom-Ring(n,L),
G being non empty Subset of Polynom-Ring(n,L) holds G is_Groebner_basis_of I,T
implies (for f being Polynomial of n,L st f in I holds PolyRedRel(G,T) reduces
  f,0_(n,L))
by Th15;
