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
  (A |^ (m, n))* c= A*
proof
  let x be object;
  assume x in (A |^ (m, n))*;
  then consider k such that
A1: x in A |^ (m, n) |^ k by FLANG_1:41;
  A |^ (m, n) |^ k = A |^ (m * k, n * k) & A |^ (m * k, n * k) c= A* by Th32
,Th40;
  hence thesis by A1;
end;
