:: deftheorem Def7 defines SubJoin RUSUB_2:def 7 :
for V being RealUnitarySpace
for b2 being BinOp of (Subspaces V) holds
( b2 = SubJoin V iff for A1, A2 being Element of Subspaces V
for W1, W2 being Subspace of V st A1 = W1 & A2 = W2 holds
b2 . (A1,A2) = W1 + W2 );