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Proof step 4 from proof inv-propagate (previous step)

Pelem(a), p*(a, b), ∀ a, b. Pelem(a) ∧ p(a, b) → Pelem(b) ⊦ Pelem(b)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ p*(a, b) ↔ (∃ n. rtc(n, a, b))
Proof step 6:
Pelem(a), ∀ a, b. Pelem(a) ∧ p(a, b) → Pelem(b), ∃ n. rtc(n, a, b) ⊦ Pelem(b)

Rule argument

spec: <toplevel> name: rtc seq: ⊦ p*(a, b) ↔ (∃ n. rtc(n, a, b)) subst: [b, a] → [b, a] flags: <all paths>

Additional information

Used terms: b, a