let V be ComplexLinearSpace; :: thesis: for v being VECTOR of V
for W being Subspace of V st v in W holds
- v in W
let v be VECTOR of V; :: thesis: for W being Subspace of V st v in W holds
- v in W
let W be Subspace of V; :: thesis: ( v in W implies - v in W )
assume v in W ; :: thesis: - v in W
then (- 1r) * v in W by Th40;
hence - v in W by Th3; :: thesis: verum