| dirs[entries[str]] = mkdir(0, md, # links(entries[str], dirs), m1, ∅), dirs[ino1] = mkdir(m, md1, # links(ino1, dirs), m2, entries), dom of < ino0, afs-cons(dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md1), px(user, md1), px-parent(user, q, ROOT_INO, dirs, files), str ∈ entries, ino1 ∈ dirs, entries[str] ∈ dirs, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ [choose err0 with ⌊err0⌋ in err := err0; asynced := ?] ⟪vfs_put_inode#(mkinode(entries[str], md, true, # links(entries[str], dirs), m1, 0), of, asynced; err, dirs, files)⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), entries[str] = ROOT_INO |
dirs[ino1] = mkdir(m, md1, # links(ino1, dirs), m2, entries), dirs[entries[str]] = mkdir(0, md, # links(entries[str], dirs), m1, ∅), dom of < ino0, afs-cons(dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md1), px(user, md1), px-parent(user, q, ROOT_INO, dirs, files), entries[str] ∈ dirs, ino1 ∈ dirs, str ∈ entries, ⌊err0⌋ , links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ [err := err0; asynced := ?] ⟪vfs_put_inode#(mkinode(entries[str], md, true, # links(entries[str], dirs), m1, 0), of, asynced; err, dirs, files)⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), entries[str] = ROOT_INO