for K being Field
for V1 being VectSp of K
for f being linear-transformation of V1,V1
for L being Scalar of K
for I being Linear_Compl of UnionKers (f + ((- L) * (id V1)))
for fI being linear-transformation of I,I st fI = f | I holds
for v being Vector of I st fI . v = L * v holds
v = 0. V1