| 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), strings = strings0, err = err0 ⊦ ⟪vfs_readdir#(path, user, dirs, files, asynced; strings, err)⟫ ⟨posix_readdir#(path, user, root, fs, ofh; strings0, err0)⟩ ((ofh = abs-of(of) ∧ fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced)) ∧ strings = strings0 ∧ err = err0) |