| 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), err = err0 ⊦ ⟪vfs_rename#(path, path', user, of; err, dirs, files, asynced)⟫ ⟨posix_rename#(path, path', user, ofh; err0, root, fs; psynced)⟩ ((ofh = abs-of(of) ∧ fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced)) ∧ err = err0) |