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Proof step 2 from proof reach-reachnext (previous step)

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 3:
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;