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 non empty add-closed left-ideal Subset of (Polynom-Ring (n,L)) st I <> {(0_ (n,L))} holds
ex G being finite Subset of (Polynom-Ring (n,L)) st
( G is_Groebner_basis_of I,T & G is_reduced_wrt T )