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Proof step 3 from proof px-to-eps (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ px(user, p, st) ↔ (∀ q. q ⊑ p → px(user, meta(q, st)))
Proof step 5:
∀ q. q ⊑ p → px(user, meta(q, st)) ⊦ px(user, meta(ε, 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, p, user] flags: <all paths>

Additional information

Used terms: st, p, user