theorem Th25: :: LOPBAN_9:11

for X, Y, Z being RealNormSpace
for f, h being VECTOR of (R_VectorSpace_of_BoundedBilinearOperators (X,Y,Z))
for a being Real holds
( h = a * f iff for x being VECTOR of X
for y being VECTOR of Y holds h . (x,y) = a * (f . (x,y)) )