| of[fd] = mkfile(m3, mode0, m4), files[m3] = mkfile(m1, md, m2, content), err0 = err1, ofh = abs-of(of), root.dir?, dom of < ino2, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), read-inv(m4, m4 + n, mkinode(m3, md, false, m2, 0, m1), buf0, buf1, 0, dirs, files), read-inv(m4, m4 + n, mkinode(m3, md, false, m2, 0, m1), buf0, buf0, 0, dirs, files), fd ∈ of, m4 ≤ m1, n ≤ # buf0, psynced → asynced, ⌊err1⌋ ∨ err1 = ESUCCESS ⊦ err0 = ESUCCESS, ∃ n0. ofh = abs-of(of[fd, of[fd].pos:= m4]) ∧ (psynced → asynced) ∧ buf1 = buf0 ∧ 0 = n0 ∧ err1 = err0, mode0 ≠ MODE_R ∧ mode0 ≠ MODE_RW |
of[fd] = mkfile(m3, mode0, m4), files[m3] = mkfile(m1, md, m2, content), root.dir?, dom of < ino2, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), read-inv(m4, m4 + n, mkinode(m3, md, false, m2, 0, m1), buf0, buf1, 0, dirs, files), read-inv(m4, m4 + n, mkinode(m3, md, false, m2, 0, m1), buf0, buf0, 0, dirs, files), fd ∈ of, m4 ≤ m1, n ≤ # buf0, ⌊err1⌋ , psynced → asynced ⊦ buf1 = buf0, mode0 ≠ MODE_R ∧ mode0 ≠ MODE_RW
Used simplifier rules: ⊦ of[fd] = file ∧ fd ∈ of → of[fd, file] = of; (s)% ⊦ mkfile(m, mode, m0).pos:= m2 = mkfile(m, mode, m2); (s)% ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)