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Specification ostore
specification
   

   

   

   using actualize
            store
         with
            gelem
         
            
         by morphism
            
         end actualize, oset

   

   

   

   

   
   
   functions  . .keys : store → set;
   
   
   
   partial functions  . .min : store → elem with λ st. st ≠ ∅;
                      . .butmin : store → store with λ st. st ≠ ∅;
   

   

   axioms Min-in :  ⊦ st ≠ ∅ → st.min ∈ st;
          used for: lf, kodkodaxstrong;
          Min-min :  ⊦ a ∈ st → ¬ a < st.min;
          used for: lf, kodkodaxstrong;
          Butmin :  ⊦ st.butmin = st -- st.min;
          used for: ls;
          Keys :  ⊦ a ∈ st.keys ↔ a ∈ st;
          used for: ls, nokodkodax;

   

   
end specification