| isdir ↔ false, isdir1 ↔ false, isdir0 ↔ isdir1, dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), dent = negdentry(dent0.name), dent0 = negdentry(str), err = ENOENT, err1 = err, err2 = ESUCCESS, fs = abs-files(files), p_ino = ino1, root[q].dir?, root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pre-lookup(p_ino, dent0, dirs, files), pw(user, md), px(user, md), px-parent(user, q, ROOT_INO, dirs, files), ino1 ∈ dirs, psynced → asynced ⊦ [skip] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_unlink#(q + str ', user, abs-of(of); err0, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err0)), dent0.name ∈ dirs[p_ino].entries |
isdir0 ↔ isdir1, isdir1 ↔ false, isdir ↔ false, dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), dent = negdentry(dent0.name), dent0 = negdentry(str), err = ENOENT, err1 = err, err2 = ESUCCESS, fs = abs-files(files), p_ino = ino1, root.dir?, root[q].dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pre-lookup(p_ino, dent0, dirs, files), pw(user, md), px(user, md), px-parent(user, q, ROOT_INO, dirs, files), ino1 ∈ dirs, psynced → asynced ⊦ ⟨posix_unlink#(q + str ', user, abs-of(of); err0, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err0), dent0.name ∈ dirs[p_ino].entries