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Proof step 4 from proof fromnext-reachable (previous step)

∃ x. path(r ' + x, H) ∧ (r ' + x).last = r0, r0 ∈ H ⊦ r = r0, reachable(H[r].nxt, r0, H)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
path(r ' + x, H), (r ' + x).last ∈ H ⊦ r = (r ' + x).last, reachable(H[r].nxt, (r ' + x).last, H)

Rule argument

Additional information