| asynced0 ↔ asynced, buf = buf0, dirs0 = dirs, err = err0, fd0 = fd, files0 = files, ino0 = ino, n = n0, ofh = abs-of(of), user0 = user, root.dir?, dom of < ino, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), n0 ≤ # buf0, n ≤ # buf, psynced → asynced ⊦ [vfs_read#(fd, user, dirs, files, asynced; buf, n, err, of)] ( of-cons(of, dirs0, files0) ∧ dom of < ino0 → ⟨posix_read#(fd, user, root, abs-files(files); buf0, n0, err0, ofh)⟩ (ofh = abs-of(of) ∧ (psynced → asynced) ∧ buf = buf0 ∧ n = n0 ∧ err = err0)) |
buf = buf0, err = err0, n = n0, ofh = abs-of(of), root.dir?, dom of < ino, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), n0 ≤ # buf0, psynced → asynced ⊦ [vfs_read#(fd, user, dirs, files, asynced; buf, n, err, of)] ( of-cons(of, dirs, files) ∧ dom of < ino → ⟨posix_read#(fd, user, root, abs-files(files); buf0, n0, err0, ofh)⟩ (ofh = abs-of(of) ∧ (psynced → asynced) ∧ buf = buf0 ∧ n = n0 ∧ err = err0))