 reserve n,i,k,m for Nat;
 reserve p for Prime;

theorem
  for A,B be finite Subset of SetPrimes st
    A-bag = B-bag holds
      A = B
  proof
    let A,B be finite Subset of SetPrimes;
    assume A-bag = B-bag; then
    A = support (B-bag) by BagSupport;
    hence thesis by BagSupport;
  end;
