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 Th16:
  <%>E in A & n > 0 implies (A |^ n)* = A*
proof
  assume <%>E in A & n > 0;
  then
A1: A* c= (A |^ n)* by FLANG_1:35,61;
  (A |^ n)* c= A* by FLANG_1:64;
  hence thesis by A1,XBOOLE_0:def 10;
end;
