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Proof step 54 from proof rem-stays-reachable-aux (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 55:
ce.nxt = H[r].nxt, r = H[(r ' + x).last].nxt, path(r ' + x, H), (r ' + x).last ∈ H, r ∈ H ⊦ r = (r ' + x).last, r = null, r = ce.nxt, dups(x), r ∈ x, ∃ x0. path(r ' + x0, H[(r ' + x).last, ce]) ∧ (r ' + x0).last = r

Proof step 54 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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