theorem Th57: :: POLYRED:57

for n being Ordinal
for T being connected TermOrder of n
for L being non trivial right_complementable almost_left_invertible well-unital distributive Abelian add-associative right_zeroed associative commutative doubleLoopStr
for P being Subset of (Polynom-Ring (n,L))
for f, g being Element of (Polynom-Ring (n,L)) st f,g are_convertible_wrt PolyRedRel (P,T) holds
f,g are_congruent_mod P -Ideal