theorem :: GROEB_2:33

for n being Ordinal
for T being connected TermOrder of n
for L being non empty non trivial right_complementable well-unital distributive add-associative right_zeroed doubleLoopStr
for f, g being Polynomial of n,L
for P being non empty Subset of (Polynom-Ring (n,L))
for A, B being LeftLinearCombination of P
for b being bag of n st A is_Standard_Representation_of f,P,b,T & B is_Standard_Representation_of g,P,b,T holds
A ^ B is_Standard_Representation_of f + g,P,b,T