theorem Th41: :: POLYRED:41

for n being Ordinal
for T being connected admissible TermOrder of n
for L being non trivial right_complementable almost_left_invertible well-unital distributive add-associative right_zeroed associative commutative doubleLoopStr
for f, p, g being Polynomial of n,L
for b, b9 being bag of n st b < b9,T & f reduces_to g,p,b,T holds
f . b9 = g . b9