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

⊦ H[r1].nxt = H[r2].nxt ∧ r0 ≠ r2 ∧ 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]) ↔ false)

System applied rule normalize

And obtained the following new goals

Proof step 2:
H[r1].nxt = H[r2].nxt, ce.nxt = r2, reachable(r, r1, H), r2 ∈ H ⊦ reachable(r, r0, H[r1, ce]) ↔ false, r0 = r2, r2 = null, reachable(r, r2, H), reachable(r, r0, H)

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

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information