| dirs[ino0] = mkdir(m, md, # links(ino0, dirs), m1, entries), c_inode = inode, dent = negdentry(str), err = err0, inode = (ino0 ∈ dirs ⊃ mkinode(ino0, md, true, # links(ino0, dirs), m1, m) ;mkinode(ino0, files[ino0].meta, false, files[ino0].nlink, 0, files[ino0].size) ), afs-cons(dirs, files), ispath(q, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), px(user, md), px-parent(user, q, ROOT_INO, dirs, files), ino0 ∈ dirs, ⌊err0⌋ , links(ino0, dirs) ≠ ∅ ∨ ino0 = ROOT_INO ⊦ ⟪skip⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), p = ε |