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;
reserve p,p1,p2 for Point of TOP-REAL 2;

theorem
  ex x,y being Element of REAL st p=<*x,y*>
proof
  the TopStruct of TOP-REAL 2 = TopSpaceMetr Euclid 2 by Def8;
  then p is Tuple of 2,REAL by FINSEQ_2:131;
  hence thesis by FINSEQ_2:100;
end;
