reserve r, s, t, g for Real,

          r3, r1, r2, q3, p3 for Real;
reserve T for TopStruct,
  f for RealMap of T;
reserve p for Point of TOP-REAL 2,
  P for Subset of TOP-REAL 2,
  Z for non empty Subset of TOP-REAL 2,
  X for non empty compact Subset of TOP-REAL 2;

theorem
  W-max P = N-min P implies W-max P = NW-corner P
proof
A1: (W-max P)`1 = W-bound P by EUCLID:52;
  assume W-max P = N-min P;
  hence thesis by A1,EUCLID:52;
end;
