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Specification directory-tree-fids
enrich
   directory-tree
, 
   fidbag
with
   

   
   
   functions  . .fids : directory-tree → fidbag;
              . .fids : entries-tree → fidbag;
   
   
   
   
   

   

   axioms fids-fnode :  ⊦ fnode(fid).fids = {fid} ;
          used for: s, ls;
          fids-dnode :  ⊦ dnode(md, sdt).fids = sdt.fids;
          used for: s, ls;
          fids-emp :  ⊦ ∅.fids = ∅;
          used for: s, ls;
          fids-ins :  ⊦ ¬ str ∈ sdt → sdt[str, tree].fids = sdt.fids ∪ tree.fids;
          used for: s, ls;

   

   
end enrich