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Proof step 8 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 9:
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

Proof step 8 from proof reach-reachnext (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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