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Theorem pre-renam-esuccess

⊦ pre-renam(p, p', ESUCCESS, user, root, fs, ofh) ↔ p' ≠ ε ∧ p ∈ root ∧ ¬ p ⊑ p' ∧ parent(p') ∈ root ∧ root[parent(p')].dir? ∧ (p' ∈ root → (root[p].dir? ↔ root[p'].dir?)) ∧ (p' ∈ root ∧ root[p'].dir? → root[p'].entries = ∅) ∧ py(user, parent(p), root, fs) ∧ py(user, parent(p'), root, fs) ∧ (root[p].dir? → pw(user, p, root, fs))