| n ≤ # buf, ofh = abs-of(of), fs = abs-files(files), abs(root, ROOT_INO)(dirs), psynced → asynced, root.dir?, fids-cons(root, fs, ofh), of-cons(of, dirs, files), dom of < ino, afs-cons(dirs, files), n = n0, err = err0 ⊦ ⟪vfs_write#(fd, buf, user; n, err, of, dirs, files, asynced)⟫ ⟨posix_write#(fd, buf, user, root; n0, err0, fs, ofh; psynced)⟩ ((ofh = abs-of(of) ∧ fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced)) ∧ n = n0 ∧ err = err0) |