:: deftheorem BLDef3 defines * ZMATRLIN:def 14 :
for V, W being non empty ModuleStr over INT.Ring
for f being Form of V,W
for a being Element of INT.Ring
for b₅ being Form of V,W holds
( b₅ = a * f iff for v being Vector of V
for w being Vector of W holds b₅ . (v,w) = a * (f . (v,w)) );