Specification embed-aux

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enrich heap-fun , 
       heap-aux with
   functions 
      . [ . ] : aux × (heap → bool) → heap-aux → bool;
   
   axioms 
      lift-aux :  ⊦ (a[P])(mk(rs, f, g)) ↔ P(mk(rs, f)) ∧ (∀ r. r ∈ rs → g(r) = a);
end enrich