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Specification ostore
specification
   using actualize
            store
         with
            gelem
            
         by morphism
            
         end actualize, 
         oset
   functions 
       . .keys : store → set;
   
   variables 
       st : store;
   
   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;
      
      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 specification