| 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), buf = buf0, n = n0, err = err0 ⊦ ⟪vfs_read#(fd, user, dirs, files, asynced; buf, n, err, of)⟫ ⟨posix_read#(fd, user, root, fs; buf0, n0, err0, ofh)⟩ ((ofh = abs-of(of) ∧ fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced)) ∧ buf = buf0 ∧ n = n0 ∧ err = err0) |
buf = buf0, err = err0, fs = abs-files(files), n = n0, ofh = abs-of(of), root.dir?, dom of < ino, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, fs, ofh), of-cons(of, dirs, files), n ≤ # buf, psynced → asynced ⊦ ⟪vfs_read#(fd, user, dirs, files, asynced; buf, n, err, of)⟫ ⟨posix_read#(fd, user, root, fs; buf0, n0, err0, ofh)⟩ ((ofh = abs-of(of) ∧ fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced)) ∧ buf = buf0 ∧ n = n0 ∧ err = err0)