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Proof step 7 from proof rename-fids (previous step)

psynced0 ↔ path' ∈ root, err = ESUCCESS, err0 = err1, tree = root[path'], tree0 = root[path], fids-cons(root, fs, ofh), pre-renam(path, path', err, user, root, fs, ofh) ⊦ [root := (root -- path)[path', tree0]; if psynced0 ∧ ¬ tree.dir? ∧ ¬ tree.fid ∈ ofh.fids ∧ ¬ tree.fid ∈ root.fids then fs := fs -- tree.fid; psynced := ?] fids-cons(root, fs, ofh)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 8:
psynced0 ↔ path' ∈ root0, err = ESUCCESS, err0 = err1, root = (root0 -- path)[path', tree0], tree = root0[path'], tree0 = root0[path], fids-cons(root0, fs, ofh), pre-renam(path, path', err, user, root0, fs, ofh) ⊦ [if psynced0 ∧ ¬ tree.dir? ∧ ¬ tree.fid ∈ ofh.fids ∧ ¬ tree.fid ∈ root.fids then fs := fs -- tree.fid; psynced := ?] fids-cons(root, fs, ofh)

Proof step 7 from proof rename-fids (previous step)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

Additional information