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Specification ostore
enrich
   oset, 
   store
with
   functions 
       . .keys : store(tord, 'b) → set(tord);
   
   variables 
       st : store(tord, 'b);
       a : tord;
       s : set(tord);
       d : 'b;
   
   partial functions 
       . .min : store(tord, 'b) → tord with λ st. st ≠ ∅;
       . .butmin : store(tord, 'b) → store(tord, 'b) with λ st. st ≠ ∅;
   
   
   axioms 
      Min-in: st ≠ ∅ → st.min ∈ st;
      used for: lf;
      
      Min-min: a ∈ st → ¬ a < st.min;
      used for: lf;
      
      Butmin: st.butmin = st -- st.min;
      used for: ls;
      
      Keys: a ∈ st.keys ↔ a ∈ st;
      used for: ls;
   
   
end enrich