theorem Th16: :: LOPBAN_9:2

for X, Y, Z being RealLinearSpace
for f, g, h being VECTOR of (R_VectorSpace_of_BilinearOperators (X,Y,Z)) holds
( h = f + g iff for x being VECTOR of X
for y being VECTOR of Y holds h . (x,y) = (f . (x,y)) + (g . (x,y)) )