reserve k,j,n for Nat,
  r for Real;
reserve x,x1,x2,y for Element of REAL n;
reserve f for real-valued FinSequence;
reserve p,p1,p2,p3 for Point of TOP-REAL n,
  x,x1,x2,y,y1,y2 for Real;

theorem Th19:
  the carrier of TOP-REAL n = REAL n
proof
  the TopStruct of TOP-REAL n = TopSpaceMetr Euclid n by Def8;
  hence thesis;
end;
