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Proof step 7 from proof fromnext-reachable (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
path(r ' + x, H) ⊦ r = x.last, x = [], reachable(H[r].nxt, x.last, H)

Rule argument

Additional information

Used simplifier rules: a: ⊦ (x0 + x1) + x2 = x0 + x1 + x2; from specification list[reflist]% ⊦ x0 ≠ [] → (r ' + x0).last = x0.last; (s)