theorem Th18: :: MATRLIN:18

for K being Field
for V2, V3 being finite-dimensional VectSp of K
for g being Function of V2,V3
for b2 being OrdBasis of V2
for a being FinSequence of K st len a = len b2 & g is additive & g is homogeneous holds
g . (Sum (lmlt (a,b2))) = Sum (lmlt (a,(g * b2)))