| # links(entries0[str], cache_dirs) = m5, # links(entries1[str0], cache_dirs) = m7, # links(m, cache_dirs) = m16, # links(m3, cache_dirs) = m1, cache_files[entries1[str0]] = mkfile(m2, md7, # links(entries1[str0], cache_dirs), content1), cache_dirs[m] = mkdir(m4, md8, # links(m, cache_dirs), m14, entries0), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[entries1[str0]] = mkfile(m8, md4, # links(entries1[str0], cache_dirs), content0), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[entries0[str]] = mkfile(m12, md3, # links(entries0[str], cache_dirs), content), cache_dirs[m3] = mkdir(m6, md9, # links(m3, cache_dirs), m15, entries1), cache_files[entries0[str]] = mkfile(m0, md6, # links(entries0[str], cache_dirs), content3), afs_dirs = cache_dirs, afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, dirs = cache_dirs, err = err0, files = cache_files, new_child_inode = mkinode(entries0[str], md1, false, # links(entries0[str], cache_dirs), 0, m10), new_dent = mkdentry(str, entries0[str]), new_parent_inode = mkinode(m, md, true, # links(m, cache_dirs), m14, m4), old_child_inode = mkinode(entries1[str0], md2, false, # links(entries1[str0], cache_dirs), 0, m13), old_dent = mkdentry(str0, entries1[str0]), old_parent_inode = mkinode(m3, md0, true, # links(m3, cache_dirs), m15, m6), 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 ∈ entries0, str0 ∈ entries1, m ∈ cache_dirs, m3 ∈ cache_dirs, entries0[str] ∈ cache_files, entries1[str0] ∈ cache_files, cache_sync → synced(cache_files, cache_icache, cache_pcache), m = m3 → md = md0, links(m, cache_dirs) ≠ ∅ ∨ m = ROOT_INO, links(m3, cache_dirs) ≠ ∅ ∨ m3 = ROOT_INO ⊦ [abort; if err = ESUCCESS then let asynced = false in {icache_set#(old_parent_inode, asynced; err, cache_icache); icache_set#(new_parent_inode, asynced; err, cache_icache); if mkdentry(str, entries0[str]).dentry? then icache_set#(new_child_inode, asynced; err, cache_icache); dcache_delete#(old_parent_inode.ino, old_dent.name; err, cache_dcache); dcache_set#(new_parent_inode.ino, new_dent.name, new_dent; err, cache_dcache)}] ( icache-cons(cache_icache, dirs, files) ∧ dcache-cons(cache_dcache, dirs, files) ∧ pcache-cons(cache_pcache, dirs, files) ∧ afs-cons(dirs, files) ∧ synced(dirs, cache_icache, cache_pcache) ∧ (cache_sync → synced(files, cache_icache, cache_pcache)) → ⟨new_dent0 := mkdentry(str, entries0[str]); old_dent0 := mkdentry(str0, entries1[str0]); new_parent_inode0 := mkinode(m, md, true, m16, m14, m4); old_parent_inode0 := mkinode(m3, md0, true, m1, m15, m6); new_child_inode0 := mkinode(entries0[str], md1, false, m5, 0, m10); old_child_inode0 := mkinode(entries1[str0], md2, false, m7, 0, m13); afs_rename# (; old_parent_inode0, new_parent_inode0, old_child_inode0, new_child_inode0, old_dent0, new_dent0, err0, afs_dirs, afs_files; afs_asynced)⟩ ( old_parent_inode = old_parent_inode0 ∧ new_parent_inode = new_parent_inode0 ∧ old_child_inode = old_child_inode0 ∧ new_child_inode = new_child_inode0 ∧ old_dent = old_dent0 ∧ new_dent = new_dent0 ∧ err = err0 ∧ afs_dirs = dirs ∧ afs_files = (files ⊕ cache_pcache) ⊕ cache_icache ∧ (afs_asynced ↔ asynced))), pre-rename(old_parent_inode, old_dent, old_child_inode, new_parent_inode, new_dent, new_child_inode, dirs, files), entries0[str] ∈ cache_dirs |