Specification maplet

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enrich
   heap-sep
with
   

   
   
   functions  . => . : ref × obj → heap → bool prio 11 right;
              . =>_ : ref → heap → bool;
              . =>? : ref → heap → bool;
              _∃ . : (ref → heap → bool) → heap → bool;
              _∃ . : (ref × ref → heap → bool) → heap → bool;
              _∃ . : (obj → heap → bool) → heap → bool;
   
   
   variables  rP : ref → heap → bool;
              rrP : ref × ref → heap → bool;
              oP : obj → heap → bool;
   
   

   

   axioms ex1 :  ⊦ (_∃ rP)(H) ↔ (∃ r. rP(r)(H));
          used for: s, ls;
          ex2 :  ⊦ (_∃ rrP)(H) ↔ (∃ r0, r1. rrP(r0, r1)(H));
          used for: s, ls;
          ex3 :  ⊦ (_∃ oP)(H) ↔ (∃ o. oP(o)(H));
          used for: s, ls;
          maplet :  ⊦ ((r => o))(H) ↔ H = (∅ ++ r)[r, o] ∧ r ≠ null;
          used for: ls;
          mapex :  ⊦ r =>_ = _∃(λ o. r => o);
          used for: ls;
          mapornull :  ⊦ r =>? = (r = null ⊃ emp;r =>_);
          used for: ls;

   

   
end enrich