[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 114 from proof refine-open (previous step)

root[path].dir? ↔ ino0 ∈ dirs, err0 = err2, fd = ino1, fd0 = ino1, fs = abs-files(files), 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)), ispath(path, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), px-parent(user, path, ROOT_INO, dirs, files), ⌊err⌋ , psynced → asynced, ino0 ∈ dirs ∨ ino0 ∈ files ⊦ ⟨choose err with pre-open(path, mode, err, user, root, fs, ofh) in err0 := err; if err0 = ESUCCESS then let fid = root[path].fid in choose n with ¬ n ∈ ofh in {ofh[n] := mkfh(fid, mode, 0); fd := n}⟩ (ofh = abs-of(of) ∧ (psynced → asynced) ∧ fd0 = fd ∧ err = err0)

Heuristic symbolic execution applied rule choose right

And obtained the following new goals

Proof step 115:
root[path].dir? ↔ ino0 ∈ dirs, err0 = err2, fd = ino1, fd0 = ino1, fs = abs-files(files), 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)), ispath(path, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), px-parent(user, path, ROOT_INO, dirs, files), ⌊err1⌋ , psynced → asynced, ino0 ∈ dirs ∨ ino0 ∈ files ⊦ ∃ err. pre-open(path, mode, err, user, root, fs, ofh) ∧ ⟨err0 := err; if err0 = ESUCCESS then let fid = root[path].fid in choose n with ¬ n ∈ ofh in {ofh[n] := mkfh(fid, mode, 0); fd := n}⟩ (ofh = abs-of(of) ∧ (psynced → asynced) ∧ fd0 = fd ∧ err1 = err0)

Proof step 114 from proof refine-open (previous step)

Heuristic symbolic execution applied rule choose right

And obtained the following new goals

Rule argument

Additional information