reserve x for set;
reserve a,b,c,d,e,r1,r2,r3,r4,r5,r6 for Real;
reserve V for RealLinearSpace;
reserve u,v,v1,v2,v3,w,w1,w2,w3 for VECTOR of V;
reserve W,W1,W2 for Subspace of V;

theorem
  for V be RealLinearSpace, v1, v2 be VECTOR of V, a, b be Real st
  v1 <> v2
  ex l being Linear_Combination of {v1,v2} st l.v1 = a & l.v2 = b by Lm2;
