reserve X,x,y,z for set;
reserve n,m,k,k9,d9 for Nat;

theorem Th2:
  for x,y being Real ex z being Element of REAL st x < z & y < z
proof
  let x,y be Real;
  reconsider x,y as Real;
  reconsider z = max(x,y) + 1 as Element of REAL by XREAL_0:def 1;
 take z;
A1: x + 0 < z by XREAL_1:8,XXREAL_0:25;
  y + 0 < z by XREAL_1:8,XXREAL_0:25;
  hence thesis by A1;
end;
