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Proof step 43 from proof refine-seek (previous step)

of[fd] = mkfile(m, mode, m0), err = ESUCCESS, ino = m, root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), fd ∈ of, psynced → asynced ⊦ ⟪if pre-iget(ino, dirs, files) then {{inode := getinode(ino, dirs, files); err := ESUCCESS} or fail#(; ; err)} else abort; n := n0; if err = ESUCCESS then n := inode.size + n; ofh := abs-of(of); if err = ESUCCESS then of[fd].pos := n⟫ ⟨posix_seek#(fd, SEEK_END, user, root, abs-files(files); n0, err0, ofh)⟩ (ofh = abs-of(of) ∧ (psynced → asynced) ∧ n = n0 ∧ err = err0)

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Proof step 44:
of[fd] = mkfile(m, mode, m0), err = ESUCCESS, ino = m, root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), fd ∈ of, psynced → asynced ⊦ ⟪{inode := getinode(ino, dirs, files); err := ESUCCESS} or fail#(; ; err); n := n0; if err = ESUCCESS then n := inode.size + n; ofh := abs-of(of); if err = ESUCCESS then of[fd].pos := n⟫ ⟨posix_seek#(fd, SEEK_END, user, root, abs-files(files); n0, err0, ofh)⟩ (ofh = abs-of(of) ∧ (psynced → asynced) ∧ n = n0 ∧ err = err0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ pre-iget(ino, dirs, files) ↔ valid-ino(ino, dirs, files); (s)% ⊦ valid-ino(ino, dirs, files) ↔ ino ∈ dirs ∨ ino ∈ files; (s)%⊦ of-cons(of, dirs, files) ∧ fd ∈ of ∧ of[fd] = mkfile(ino, mode, n) ∧ afs-cons(dirs, files) → ¬ ino ∈ dirs; (s)%⊦ of-cons(of, dirs, files) ∧ fd ∈ of ∧ of[fd] = mkfile(ino, mode, n) → ino ∈ files; (ss)