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Proof step 1 from proof px-eps (conclusion)

⊦ px(user, ε, st) ↔ px(user, meta(ε, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ px(user, p, st) ↔ (∀ q. q ⊑ p → px(user, meta(q, st)))

Rule argument

spec: <toplevel> name: px seq: ⊦ px(user, p, st) ↔ (∀ q. q ⊑ p → px(user, meta(q, st))) subst: [st, p, user] → [st, ε, user] flags: <all paths>

Additional information

Used simplifier rules: ⊦ p ⊑ ε ↔ p = ε; (s) Used terms: st, ε, user