| # links(entries1[str], cache_dirs) = cache_dirs[entries1[str]].nlink, # links(m, cache_dirs) = cache_dirs[m].nlink, # links(m3, cache_dirs) = cache_dirs[m3].nlink, asynced0 ↔ false, asynced1 ↔ false, entries1[str] = cache_dirs[m3].entries[str], cache_dirs[m3] = mkdir(cache_dirs[m3].size, md4, cache_dirs[m3].nlink, cache_dirs[m3].nsubdirs, entries1), cache_dirs[m] = mkdir(cache_dirs[m].size, md3, cache_dirs[m].nlink, cache_dirs[m].nsubdirs, entries0), cache_dirs[entries1[str]] = mkdir(cache_dirs[entries1[str]].size, md5, cache_dirs[entries1[str]].nlink, cache_dirs[entries1[str]].nsubdirs, entries2), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, dirs = dirs2[new_ino, dirs2[new_ino].size:= (dirs2[new_ino].size + 1)], dirs0 = cache_dirs[old_ino, cache_dirs[old_ino].entries:= (cache_dirs[old_ino].entries -- mkdentry(str, entries1[str]).name)], dirs1 = dirs0[old_ino, dirs0[old_ino].size:= (dirs0[old_ino].size - 1)], dirs2 = dirs1[new_ino, dirs1[new_ino].entries:= dirs1[new_ino].entries[str0, old_dent.ino]], new_dent = negdentry(str0), new_ino = m, old_dent = mkdentry(str, entries1[str]), old_ino = m3, old_dent.dentry?, afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), afs-cons(cache_dirs, cache_files), dcache-cons(cache_dcache, cache_dirs, cache_files), icache-cons(cache_icache, cache_dirs, cache_files), pcache-cons(cache_pcache, cache_dirs, cache_files), synced(cache_dirs, cache_icache, cache_pcache), str ∈ cache_dirs[m3].entries, m ∈ cache_dirs, m3 ∈ cache_dirs, entries1[str] ∈ cache_dirs, str ∈ entries1, dirs0[old_ino].size ≥ 1, ⌊err0⌋ , m = m3 → md = md0, cache_sync → synced(cache_files, cache_icache, cache_pcache), links(m, cache_dirs) ≠ ∅ ∨ m = ROOT_INO, links(m3, cache_dirs) ≠ ∅ ∨ m3 = ROOT_INO ⊦ ⟨fail#(; ; err); asynced := ?⟩ (err0 = err ∧ (asynced ↔ asynced2)), old_dent.dentry?, old_dent.ino ∈ dirs1, str0 ∈ entries0, str0 ∈ cache_dirs[m].entries |