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Proof step 52 from proof rem-stays-reachable-aux2 (previous step)

(r ' + x1).last = x.last, (r0 ' + x0).last = x.last, r0 = H[r0].nxt, path(r ' + x1, H), path(r0 ' + x0, H), path(r ' + x + r0 ', H), r0 ∈ H, x.last ∈ H ⊦ r0 = r, r0 = null, x = [], dups(x0), dups(x1), dups(x), r0 ∈ x, r0 ∈ x0, r ∈ x1, r ∈ x

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 53:
(r0 ' + x0).last = x.last, (r ' + x1).last = x.last, r0 = H[r0].nxt, path(r ' + x + r0 ', H), path(r0 ' + x0, H), path(r ' + x1, H), x.last ∈ H, r0 ∈ H ⊦ r0 = null, r0 = r, x = [], dups(x), dups(x1), dups(x0), r ∈ x, r ∈ x1, r0 ∈ x0, r0 ∈ x

Proof step 52 from proof rem-stays-reachable-aux2 (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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