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Proof step 79 from proof reachable-addnew-rev (previous step)

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

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 6 terms: x

Additional information

Used terms: x