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Proof step 10 from proof k-reachable-def (previous step)

path(r ' + x, H) ⊦ x = [], r = null, ∃ n. reachable-n(H, n, r, (r ' + x).last)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
path(r ' + x, H) ⊦ x = [], r = null, ∃ n. reachable-n(H, n, r, x.last)

Rule argument

Additional information

Used simplifier rules: a: ⊦ (x0 + x1) + x2 = x0 + x1 + x2; from specification list[reflist]%l-02: ⊦ x0 ≠ [] → (r ' + x0).last = x0.last; from specification list-last[reflist]