| files[ino1] = mkfile(m, md, # links(ino1, dirs), content), root.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), ROOT_INO ∈ dirs, ino1 ∈ files, psynced → asynced ⊦ ⟨psynced := ?⟩ ((psynced → asynced) ∧ EACCESS = EACCESS), ∃ err0. pre-fsync(path, isdir, err0, user, root, abs-files(files), abs-of(of)) ∧ ⟨err := err0; psynced := ?⟩ ((psynced → asynced) ∧ EACCESS = err), root[path].dir?, pr(user, md), ino1 ∈ dirs |