defpred S1[ set ] means ex W being strict Subspace 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