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Proof step 1 from proof reach-reachnext (conclusion)

⊦ reachable(r, r1, H) → (¬ reachable(r, H[r1].nxt, H) ↔ H[r1].nxt = null ∨ ¬ H[r1].nxt ∈ H)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information

Used simplifier rules: reach-alloc: ⊦ reachable(r, r1, H) → r1 ∈ H;