:: deftheorem Def8 defines OrthogonalFamily BHSP_5:def 8 :
for X being RealUnitarySpace
for b2 being Subset of X holds
( b2 is OrthogonalFamily of X iff for x, y being Point of X st x in b2 & y in b2 & x <> y holds
x .|. y = 0 );