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Specification embed-aux
enrich
   heap-fun, 
   heap-aux
with
   functions  . [ . ] : aux × (heap → bool) → heap-aux → bool;
   variables  r : ref;
              a : aux;
              hP : heap → bool;
              hR : heap-aux → bool;
              rs : refset;
              f : ref → obj;
              g : ref → aux;
              o : obj;
              bv : bool;
              rhP : ref → heap → bool;
              ohP : obj → heap → bool;
   axioms 
      lift-aux :  ⊦ a[hP](mk(rs, f, g)) ↔ hP(mk(rs, f)) ∧ (∀ r. r ∈ rs → g(r) = a);

   
end enrich