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Proof step 45 from proof acyclic-rem-not-reachable (previous step)

ce.nxt = H[H[r].nxt].nxt, path(H[H[r].nxt].nxt ' + x + H[r].nxt ', H), r ∈ H, H[r].nxt ∈ H, ¬ reachable(H[H[r].nxt].nxt, H[r].nxt, H) ⊦ H[r].nxt = H[H[r].nxt].nxt, r = H[H[r].nxt].nxt, r = null, r = H[r].nxt, H[r].nxt = null, dups(x), H[H[r].nxt].nxt ∈ x, H[r].nxt ∈ x, r ∈ x

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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