Specification bag-max

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enrich
   nat-bag
with
   

   
   
   functions  . .max : nat-bag → nat;
   predicates  unique-elems : nat-bag;
   
   
   
   

   

   axioms max-rec :  ⊦ (bag ++ n).max = (bag = ∅ ⊃ n;(bag.max > n ⊃ bag.max;n));
          used for: ls;
          unique-elems :  ⊦ unique-elems(bag) ↔ (∀ n. count(n, bag) ≤ 1);
          used for: ls;

   

   
end enrich