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Proof step 10 from proof reach-reachnext (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
(r ' + x0).last = H[(r ' + x).last].nxt, path(r ' + x0, H), path(r ' + x, H), (r ' + x).last ∈ H ⊦ (r ' + x0).last ≠ null ∧ (r ' + x0).last ∈ H

Proof step 10 from proof reach-reachnext (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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