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Proof step 12 from proof inv-renam (previous step)

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

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

pos: right 1

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