| # links(m, cache_dirs) = cache_dirs[m].nlink, # links(m3, cache_dirs) = cache_dirs[m3].nlink, asynced0 ↔ false, asynced1 ↔ false, entries0[str] = cache_dirs[m3].entries[str], cache_dirs[m3] = mkdir(cache_dirs[m3].size, md5, cache_dirs[m3].nlink, cache_dirs[m3].nsubdirs, entries0), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[entries0[str]] = mkfile(m9, md2, # links(entries0[str], cache_dirs), content), cache_dirs[m] = mkdir(cache_dirs[m].size, md4, cache_dirs[m].nlink, cache_dirs[m].nsubdirs, entries), cache_files[entries0[str]] = mkfile(m1, md3, # links(entries0[str], cache_dirs), content0), 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, entries0[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, entries0[str]), old_ino = m3, old_dent.dentry?, afs-cons(cache_dirs, cache_files), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), 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, m3 ∈ cache_dirs, entries0[str] ∈ cache_files, m ∈ cache_dirs, str ∈ entries0, dirs0[old_ino].size ≥ 1, ⌊err0⌋ , cache_sync → synced(cache_files, cache_icache, cache_pcache), m = m3 → md = md0, links(m3, cache_dirs) ≠ ∅ ∨ m3 = ROOT_INO, links(m, cache_dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟨fail#(; ; err); asynced := ?⟩ (err0 = err ∧ (asynced ↔ asynced2)), old_dent.dentry?, old_dent.ino ∈ dirs1, str0 ∈ entries, str0 ∈ cache_dirs[m].entries |