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Proof step 84 from proof refine-seek (previous step)

of[fd] = mkfile(m, mode, m0), n = n0, ofh = abs-of(of), 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, ⌊err2⌋ , psynced → asynced ⊦ pre-seek(fd, n, SEEK_END, err2, user, root, abs-files(files), ofh) ∧ ⟨err0 := err2; if err0 = ESUCCESS then let fh = ofh[fd] in let f = abs-files(files)[fh.fid] in {n := # f.content + n; ofh[fd] := mkfh(ofh[fd].fid, ofh[fd].mode, n)}⟩ (ofh = abs-of(of) ∧ (psynced → asynced) ∧ n0 = n ∧ err2 = err0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 85:
of[fd] = mkfile(m, mode, m0), n = n0, ofh = abs-of(of), 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, ⌊err2⌋ , psynced → asynced ⊦ ⟨err0 := err2; if err0 = ESUCCESS then let fh = ofh[fd] in let f = abs-files(files)[fh.fid] in {n := # f.content + n; ofh[fd] := mkfh(ofh[fd].fid, ofh[fd].mode, n)}⟩ (ofh = abs-of(of) ∧ (psynced → asynced) ∧ n0 = n ∧ err2 = err0)

Rule argument

Additional information

Used simplifier rules: ⊦ ⌊err⌋ → pre-seek(fd, n, whence, err, user, root, fs, ofh); (s)