| root.dir?, root[path].dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), px-parent(user, path, ROOT_INO, dirs, files), ino1 ∈ dirs, psynced → asynced ⊦ ⟨psynced := ?⟩ ((psynced → asynced) ∧ EISDIR = EISDIR), ∃ err0. pre-fsync(path, isdir, err0, user, root, abs-files(files), abs-of(of)) ∧ ⟨err := err0; psynced := ?⟩ ((psynced → asynced) ∧ EISDIR = err) |