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Proof step 5 from proof max-sum-empty-array (previous step)

⊦ 0 + 0 = 0 ∧ 0 = sum(mkarray(0), 0, 0) ∧ upper-bound(mkarray(0), 0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
⊦ upper-bound(mkarray(0), 0)

Rule argument

Additional information

Used simplifier rules: sum-zero: ⊦ sum(ar, n, 0) = 0;%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic