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Proof step 185 from proof refine-read (previous step)

files[m3] = mkfile(m1, md, # links(m3, dirs), content), of[fd] = mkfile(m3, mode0, m4), buf1 ≠ buf0, 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 + n0, mkinode(m3, md, false, # links(m3, dirs), 0, m1), buf0, buf1, 0, dirs, files), read-inv(m4, m4 + n0, mkinode(m3, md, false, # links(m3, dirs), 0, m1), buf0, buf0, 0, dirs, files), fd ∈ of, m3 ∈ files, m4 ≤ m1, n0 ≤ # buf0, psynced → asynced ⊦ ∃ n. n ≤ n0 ∧ of[fd].pos + n ≤ m1 ∧ ⟨n0 := n; buf0 := copy((content.stream to m1).buf, m4, buf0, 0, n0); ofh := abs-of(of[fd, mkfile(m3, mode0, m4 + n0)])⟩ (ofh = abs-of(of[fd, of[fd].pos:= m4]) ∧ (psynced → asynced) ∧ buf1 = buf0 ∧ 0 = n0), mode0 ≠ MODE_R ∧ mode0 ≠ MODE_RW

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 186:
of[fd] = mkfile(m3, mode0, m4), files[m3] = mkfile(m1, md, # links(m3, dirs), content), of[fd] = mkfile(m, mode, m0), 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 + n0, mkinode(m3, md, false, # links(m3, dirs), 0, m1), buf0, buf0, 0, dirs, files), read-inv(m4, m4 + n0, mkinode(m3, md, false, # links(m3, dirs), 0, m1), buf0, buf1, 0, dirs, files), m3 ∈ files, fd ∈ of, n0 ≤ # buf0, m4 ≤ m1, psynced → asynced ⊦ ∃ n. n ≤ n0 ∧ m0 + n ≤ m1 ∧ ⟨n0 := n; buf0 := copy((content.stream to m1).buf, m4, buf0, 0, n0); ofh := abs-of(of[fd, mkfile(m3, mode0, m4 + n0)])⟩ (ofh = abs-of(of[fd, of[fd].pos:= m4]) ∧ (psynced → asynced) ∧ buf1 = buf0 ∧ 0 = n0), buf1 = buf0, mode0 ≠ MODE_R ∧ mode0 ≠ MODE_RW

Rule argument

spec: file name: elim seq: ⊦ (m = file.ino ∧ mode = file.mode) ∧ m0 = file.pos ↔ file = mkfile(m, mode, m0) subst: [file, m, mode, m0] → [of[fd], m, mode, m0]

Additional information

Used simplifier rules: ⊦ (m = file.ino ∧ mode = file.mode) ∧ m0 = file.pos ↔ file = mkfile(m, mode, m0); (elim) Used terms: of[fd], m, mode, m0