Specification iter-set

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enrich
   maplet, 
   set-union
with
   functions  . ⊗_ . : (elem → heap → bool) × set → heap → bool prio 12 right;
              . ∧_ . : (elem → heap → bool) × set → heap → bool prio 11 right;
   variables  aP : elem → heap → bool;
              a : elem;
              s : set;
              h : heap;
              hP : heap → bool;
   axioms 
      Sep-emp :  ⊦ aP ⊗_ ∅ = emp;
      used for: s, ls;
      Sep-ins :  ⊦ ¬ a ∈ s → aP ⊗_ (s ++ a) = aP(a) * aP ⊗_ s;
      used for: s, ls;
      And-emp :  ⊦ aP ∧_ ∅ = true;
      used for: s, ls;
      And-ins :  ⊦ ¬ a ∈ s → aP ∧_ (s ++ a) = (aP(a) ∧ aP ∧_ s);
      used for: s, ls;

   
end enrich