reserve E, x, y, X for set;
reserve A, B, C for Subset of E^omega;
reserve a, b for Element of E^omega;
reserve i, k, l, kl, m, n, mn for Nat;

theorem Th32:
  A |^ (m, n) c= A*
proof
  let x be object;
  assume x in A |^ (m, n);
  then ex k st m <= k & k <= n & x in A |^ k by Th19;
  hence thesis by FLANG_1:41;
end;
