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Proof step 1 from proof add-preserves-reachable (conclusion)

⊦ H[r1].nxt = H[r2].nxt ∧ ce.nxt = r2 ∧ reachable(r, r0, H) ∧ ¬ reachable(r, r2, H) ∧ r2 ≠ null ∧ r2 ∈ H ∧ reachable(r, r1, H) → reachable(r, r0, H[r1, ce])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information

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