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Proof step 10 from proof refine-mkdir (previous step)

fs = abs-files(files), ofh = abs-of(of), path = ε, root.dir?, dom of < ino, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), psynced → asynced ⊦ ⟨choose err with pre-mkdir(path, md, err, user, root, fs, ofh) in err0 := err; if err0 = ESUCCESS then root[path] := dnode(md, ∅); psynced := ?⟩ (abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ EEXISTS = err0)

Heuristic symbolic execution applied rule choose right

And obtained the following new goals

Proof step 11:
fs = abs-files(files), ofh = abs-of(of), path = ε, root.dir?, dom of < ino, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), psynced → asynced ⊦ ∃ err. pre-mkdir(path, md, err, user, root, fs, ofh) ∧ ⟨err0 := err; if err0 = ESUCCESS then root[path] := dnode(md, ∅); psynced := ?⟩ (abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ EEXISTS = err0)

Proof step 10 from proof refine-mkdir (previous step)

Heuristic symbolic execution applied rule choose right

And obtained the following new goals

Rule argument

Additional information