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Proof step 1 from proof reachable-addnewtonull-rev (conclusion)

⊦ reachable(r, r1, H[r2, ce]) ∧ ce.nxt = null ∧ r1 ∈ H ∧ ¬ r2 ∈ H → (¬ reachable(r, r1, H) ↔ false)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
ce.nxt = null, reachable(r, r1, H[r2, ce]), r1 ∈ H, r1 ∈ H[r2, ce] ⊦ r2 ∈ H, reachable(r, r1, H)

Rule argument

Additional information

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