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Proof step 7 from proof reachable-addnewtonull-rev (previous step)

ce.nxt = null, r1 ∈ H, ∃ x. path(r ' + x, H[r2, ce]) ∧ (r ' + x).last = r1 ⊦ r2 ∈ H, ∃ x. path(r ' + x, H) ∧ (r ' + x).last = r1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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