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Proof step 5 from proof rtc+-unfold-last (previous step)

rtc(n, a, b) ⊦ n = 0, ∃ c. p*(a, c) ∧ p(c, b)

User applied rule structural induction

And obtained the following new goals

Proof step 6:
∀ a, b. rtc(n0, a, b) → n0 = 0 ∨ (∃ c. p*(a, c) ∧ p(c, b)), rtc(n0 +1, a, b) ⊦ n0 +1 = 0, ∃ c. p*(a, c) ∧ p(c, b)

Rule argument

indvar: n

Additional information

Used simplifier rules: nat freely generated by 0, +1;;