| isdir ↔ false, dent = negdentry(path0.last), err = err0, fs = abs-files(files), ino = ROOT_INO, path = parent(path0), root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), psynced → asynced ⊦ [vfs_walk#(path, 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) → ⟨posix_unlink#(path0, user, abs-of(of); err0, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err0)), path0 = ε |
err = err0, ino = ROOT_INO, path0 ≠ ε, root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), psynced → asynced ⊦ [vfs_walk#(parent(path0), user, dirs, files, asynced; ino, err); dent := negdentry(path0.last); if err = ESUCCESS then {isdir := false; 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); fs := abs-files(files); 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) → ⟨posix_unlink#(path0, user, abs-of(of); err0, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err0))