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Proof step 1 from proof rem-reachable (conclusion)

⊦ reachable(r, r0, H) ∧ ce.nxt = H[H[r1].nxt].nxt ∧ r0 ≠ H[r1].nxt ∧ H[r1].nxt ∈ H ∧ H[r1].nxt ≠ null ∧ r1 ≠ null ∧ r1 ∈ H → (reachable(r, r0, H[r1, ce]) ↔ true)

System applied rule normalize

And obtained the following new goals

Proof step 2:
ce.nxt = H[H[r1].nxt].nxt, reachable(r, r0, H), H[r1].nxt ∈ H, r1 ∈ H ⊦ H[r1].nxt = null, reachable(r, r0, H[r1, ce]) ↔ true, r0 = H[r1].nxt, r1 = null

Proof step 1 from proof rem-reachable (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information