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Proof step 24 from proof reachable-n-rec-rev2 (previous step)

∃ r1. reachable-n(H, n, r, r1) ∧ reachable-1(H, r1, H[r1].nxt) ∧ reachable-1(H, H[r1].nxt, r0), reachable-n(H, (n + 1) + 1, r, r0) ↔ (∃ r1. reachable-n(H, n + 1, r, r1) ∧ reachable-1(H, r1, r0)) ⊦ reachable-n(H, n + 2, r, r0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 25:
reachable-n(H, (n + 1) + 1, r, r0) ↔ (∃ r1. reachable-n(H, n + 1, r, r1) ∧ reachable-1(H, r1, r0)), reachable-n(H, n, r, r1), reachable-1(H, r1, H[r1].nxt), reachable-1(H, H[r1].nxt, r0) ⊦ reachable-n(H, n + 2, r, r0)

Proof step 24 from proof reachable-n-rec-rev2 (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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