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Proof step 1 from proof max-sum-empty-array (conclusion)

⊦ maximum-sum(mkarray(0), 0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ maximum-sum(ar, i) ↔ (∃ n, m. n + m ≤ # ar ∧ maximum-sum(ar, n, m, i))
Proof step 3:
⊦ ∃ n, m. n + m ≤ # mkarray(0) ∧ maximum-sum(mkarray(0), n, m, 0)

Rule argument

spec: <toplevel> name: maximum-sum seq: ⊦ maximum-sum(ar, i) ↔ (∃ n, m. n + m ≤ # ar ∧ maximum-sum(ar, n, m, i)) subst: [i, ar] → [0, mkarray(0)] flags: <all paths>

Additional information

Used terms: 0, mkarray(0)