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Proof step 4 from proof inv-unlink (previous step)

err0 = err, root.dir?, fids-cons(root, fs, ofh) ⊦ ⟪choose err with pre-unlink(path, err, user, root, fs, ofh) in err0 := err; if err0 = ESUCCESS then let fid = root[path].fid in {root := root -- path; if ¬ fid ∈ ofh.fids ∧ ¬ fid ∈ root.fids then fs := fs -- fid}; psynced := ?⟫ (root.dir? ∧ fids-cons(root, fs, ofh))

Heuristic symbolic execution applied rule choose right

And obtained the following new goals

Proof step 5:
err0 = err1, root.dir?, fids-cons(root, fs, ofh), pre-unlink(path, err, user, root, fs, ofh) ⊦ ⟪err0 := err; if err0 = ESUCCESS then let fid = root[path].fid in {root := root -- path; if ¬ fid ∈ ofh.fids ∧ ¬ fid ∈ root.fids then fs := fs -- fid}; psynced := ?⟫ (root.dir? ∧ fids-cons(root, fs, ofh))
Proof step 31:
err0 = err, root.dir?, fids-cons(root, fs, ofh) ⊦ ∃ err. pre-unlink(path, err, user, root, fs, ofh)

Proof step 4 from proof inv-unlink (previous step)

Heuristic symbolic execution applied rule choose right

And obtained the following new goals

Rule argument

Additional information