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Proof step 1 from proof px-parent-last (conclusion)

⊦ px-parent(user, p + str ', st) ↔ px(user, p, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ px-parent(user, p, st) ↔ p ≠ ε → px(user, parent(p), st)

Rule argument

Additional information

Used simplifier rules: px-parent: ⊦ px-parent(user, p, st) ↔ p ≠ ε → px(user, parent(p), st);% ⊦ parent(p + str ') = p; (s)%a: ⊦ (p + p0) + p1 = p + p0 + p1; from specification list[path]% ⊦ p + str ' ≠ ε; (s)