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Proof step 5 from proof px-app (previous step)

∀ q0. q0 ⊑ p + q → px(user, meta(q0, st)) ⊦ px(user, p, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ px(user, p, st) ↔ (∀ q. q ⊑ p → px(user, meta(q, st)))
Proof step 7:
∀ q0. q0 ⊑ p + q → px(user, meta(q0, 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, p, user] flags: <all paths>

Additional information

Used terms: st, p, user