Specification refmap-maplet

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enrich
   map-sep, 
   polyref
with
   functions 
       . => . : Ref[A] × A → Map[Ref[A], A] → Bool prio 11 right;
       _∃ . : (B → Map[Ref[A], A] → Bool) → Map[Ref[A], A] → Bool;
       _∃ . : (B × C → Map[Ref[A], A] → Bool) → Map[Ref[A], A] → Bool;
   
   variables 
       bP : B → Map[Ref[A], A] → Bool;
       bcP : B × C → Map[Ref[A], A] → Bool;
       hP : Map[Ref[A], A] → Bool;
       h : Map[Ref[A], A];
       o : A;
       b : B;
       c : C;
       r : Ref[A];
   
   
   axioms 
      ex: (_∃ bP)(h) ↔ (∃ b. bP(b)(h));
      used for: s, ls;
      
      ex2: (_∃ bcP)(h) ↔ (∃ b, c. bcP(b, c)(h));
      used for: s, ls;
      
      maplet: (r => o)(h) ↔ h = ∅(r := o) ∧ r ≠ null;
      used for: ls, ss;
   
   
end enrich