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Proof step 43 from proof acyclic-rem-not-reachable (previous step)

ce.nxt = H[H[r].nxt].nxt, path(ce.nxt ' + x + H[r].nxt ', H), r ∈ H, H[r].nxt ∈ H, ∀ r1. ¬ reachable(H[r1].nxt, r1, H) ⊦ H[r].nxt = ce.nxt, r = ce.nxt, r = null, r = H[r].nxt, H[r].nxt = null, dups(x), ce.nxt ∈ x, H[r].nxt ∈ x, r ∈ x

User applied rule insert equation

And obtained the following new goals

Rule argument

pos: left 1 flags:

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