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Proof step 1 from proof band-notneg-01 (conclusion)

⊦ 0 ≤ j → ¬ band(i, j) < 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
0 ≤ j, band(i, j) < 0 ⊦

Rule argument

Additional information

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