
theorem Th35:
  for u being Element of TOP-REAL 3 holds u = |[u.1,u.2,u.3]|
  proof
    let u be Element of TOP-REAL 3;
    thus u = |[u`1,u`2,u`3]| by EUCLID_5:3
          .= |[u.1,u`2,u`3]| by EUCLID_5:def 1
          .= |[u.1,u.2,u`3]| by EUCLID_5:def 2
          .= |[u.1,u.2,u.3]| by EUCLID_5:def 3;
  end;
