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Proof step 70 from proof rem-stays-reachable-aux (previous step)

x ≠ [], ce.nxt = H[H[x.last].nxt].nxt, path(H[x.last].nxt ' + x1 + H[x.last].nxt ', H), path(r ' + x, H), H[x.last].nxt ∈ H, x.last ∈ H ⊦ H[x.last].nxt = ce.nxt, H[x.last].nxt = null, r ∈ x, dups(x), x.last ∈ x1, ∃ x0. path(r ' + x0, H[x.last, ce]) ∧ (r ' + x0).last = H[x.last].nxt

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 71:
ce.nxt = H[H[x.last].nxt].nxt, path(H[x.last].nxt ' + x1 + H[x.last].nxt ', H), path(r ' + x, H), H[x.last].nxt ∈ H, x.last ∈ H ⊦ H[x.last].nxt = ce.nxt, H[x.last].nxt = null, x = [], r ∈ x, dups(x), x.last ∈ x1, ∃ x0. path(r ' + x0, H[x.last, ce]) ∧ (r ' + x0).last = H[x.last].nxt

Proof step 70 from proof rem-stays-reachable-aux (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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