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Proof step 9 from proof band-max (previous step)

¬ 1 < i, i < bits2int(bitsand(int2bits(i), int2bits(j))), 0 ≤ i, 0 < bits2int(bitsand(int2bits(i), int2bits(j))), ∀ i0, j. i→n(i0) < i→n(i) → i0 < bits2int(bitsand(int2bits(i0), int2bits(j))) ∧ 0 ≤ i0 → false ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

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