 reserve n for Nat;
 reserve s1 for sequence of Euclid n,
         s2 for sequence of REAL-NS n;

theorem Th10:
  the carrier of REAL-NS n = the carrier of Euclid n
  proof
    thus the carrier of Euclid n = the carrier of TOP-REAL n by EUCLID:67
      .= REAL n by EUCLID:22
      .= the carrier of REAL-NS n by REAL_NS1:def 4;
  end;
