theorem :: HURWITZ:36

for L being non empty non degenerated right_complementable almost_left_invertible well-unital distributive Abelian add-associative right_zeroed associative commutative doubleLoopStr
for p being Polynomial of L
for z being Element of L st p <> 0_. L & z is_a_root_of p holds
deg (p div (rpoly (1,z))) = (deg p) - 1