| dom of < ino, afs-cons(dirs, files), of-cons(of, dirs, files) ⊦ ⟪let ino = ROOT_INO, dent = negdentry(p.last), p = parent(p), isdir = false, inode = ?, p_inode = ? in {vfs_walk#(p, user, dirs, files, asynced; ino, err); if err = ESUCCESS then vfs_may_delete_check#(ino, user, dirs, files, asynced; inode, isdir, dent, p_inode, err); if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then {afs_unlink#(; inode, p_inode, dent, err, dirs, files; asynced); vfs_put_inode#(p_inode, of, asynced; err, dirs, files)}}⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), p = ε |
isdir ↔ false, dent = negdentry(p0.last), ino = ROOT_INO, p = parent(p0), dom of < ino0, afs-cons(dirs, files), of-cons(of, dirs, files) ⊦ ⟪vfs_walk#(p, user, dirs, files, asynced; ino, err); if err = ESUCCESS then vfs_may_delete_check#(ino, user, dirs, files, asynced; inode, isdir, dent, p_inode, err); if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then {afs_unlink#(; inode, p_inode, dent, err, dirs, files; asynced); vfs_put_inode#(p_inode, of, asynced; err, dirs, files)}⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), p0 = ε
dom of < ino, afs-cons(dirs, files), of-cons(of, dirs, files) ⊦ p = ε, p ≠ ε ∧ p ≠ ε