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Proof step 78 from proof reachable-addnew-rev (previous step)

r ∈ H, (r ' + x).last ∈ H, path(r ' + x, H) ⊦ r2 ∈ x, ∃ x0. path(r ' + x0, H) ∧ (r ' + x0).last = (r ' + x).last, r2 ∈ H, r ∈ x, dups(x), ∃ r0. reachable(r, r0, H) ∧ H[r0].nxt = r2 ∧ H[r0].nxt ≠ null ∧ reachable(ce.nxt, (r ' + x).last, H)

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 2 terms: x

Additional information

Used terms: x