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 Th105:
  A c= B* implies A? c= B*
proof
  assume A c= B*;
  then A |^ (0, 1) c= B* by Th64;
  hence thesis by Th79;
end;
