| afs-cons(dirs, files), asynced, dirs0 = dirs \ orphans(dirs, files), files0 = files \ orphans(dirs, files) ⊦ ⟨afs_fsyncdir#(inode, asynced0, dirs, files, asynced; ; err)⟩ (asynced ∧ dirs0 = dirs \ orphans(dirs, files) ∧ files0 = files \ orphans(dirs, files)) |