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Specification store-map
enrich
   store+set
with
   functions 
       . .map ( . ) : store × (data → data) → store;
       . .map ( . ) : store × (elem × data → data) → store;
   
   variables 
       dataf : data → data;
       elemdataf : elem × data → data;
       a : elem;
   
   
   axioms 
      map-in: a ∈ st.map(dataf) ↔ a ∈ st;
      used for: s, ls;
      
      map-at: a ∈ st → st.map(dataf)[a] = dataf(st[a]);
      used for: ls;
      
      mapi-in: a ∈ st.map(elemdataf) ↔ a ∈ st;
      used for: s, ls;
      
      mapi-at: a ∈ st → st.map(elemdataf)[a] = elemdataf(a, st[a]);
      used for: ls;
   
   
end enrich