theorem :: CFUNCDOM:23

ex V being strict ComplexLinearSpace ex u, v being VECTOR of V st
( ( for a, b being Complex st (a * u) + (b * v) = 0. V holds
( a = 0 & b = 0 ) ) & ( for w being VECTOR of V ex a, b being Complex st w = (a * u) + (b * v) ) )