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Proof step 1 from proof band-max (conclusion)

⊦ 0 ≤ i → ¬ i < band(i, j)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
i < band(i, j), 0 ≤ i, 0 < band(i, j) ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward)% ⊦ i ≤ j ∧ j < j0 → i < j0; (forward)