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Proof step 6 from proof hesselink-cons (previous step)

q ∈ root, p ⊑ q, ∀ q0, root, p. # q0 < # q → q0 ∈ root ∧ p ⊑ q0 → p = q0 ∨ p ∈ root ∧ root[p].dir? ⊦ p = q, q = ε, p ∈ root ∧ root[p].dir?

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ p = ε ↔ ¬(∃ p0, str. p = p0 + str ')
Proof step 8:
q ∈ root, p ⊑ q, ∀ q0, root, p. # q0 < # q → q0 ∈ root ∧ p ⊑ q0 → p = q0 ∨ p ∈ root ∧ root[p].dir? ⊦ p = q, ∀ p0, str. q ≠ p0 + str ', p ∈ root ∧ root[p].dir?

Rule argument

spec: list, inst: path name: lastdiv-rew seq: ⊦ p = ε ↔ ¬(∃ p0, str. p = p0 + str ') subst: [p] → [q] flags: <all paths>

Additional information

Used terms: q