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 Th45:
  A |^ (0, 0) = {<%>E}
proof
  thus A |^ (0, 0) = A |^ 0 by Th22
    .= {<%>E} by FLANG_1:24;
end;
