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Proof step 1 from proof band-31-pos-02 (conclusion)

⊦ 0 < i ∧ i < 32 → band(i, 31) = i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
i < 32, 0 < i ⊦ band(i, 31) = i

Rule argument

Additional information

Used simplifier rules: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward)% ⊦ i < j ∧ 0 < i → 0 < j ∧ 1 < j; (forward)