defpred S1[ set ] means ex W being strictSubspace of V st ( W = $1 & dim W = n ); thus
for X1, X2 being set st ( for x being set holds ( x in X1 iff S1[x] ) ) & ( for x being set holds ( x in X2 iff S1[x] ) ) holds X1 = X2
from XBOOLE_0:sch 3();:: thesis: verum