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 Th37:
  (NW-corner P)`2 = (N-min P)`2 & (NW-corner P)`2 = (N-max P)`2 &
  (N-min P)`2 = (N-max P)`2 & (N-min P)`2 = (NE-corner P)`2 & (N-max P)`2 = (
  NE-corner P)`2
proof
  (N-min P)`2 = N-bound P & (N-max P)`2 = N-bound P by EUCLID:52;
  hence thesis by EUCLID:52;
end;
