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Proof step 5 from proof band-max (previous step)

i < bits2int(bitsand(int2bits(i), int2bits(j))), 0 ≤ i ⊦

User applied rule induction

And obtained the following new goals

Proof step 6:
i < bits2int(bitsand(int2bits(i), int2bits(j))) ∧ 0 ≤ i, ∀ i0, j. i→n(i0) < i→n(i) → i0 < bits2int(bitsand(int2bits(i0), int2bits(j))) ∧ 0 ≤ i0 → false ⊦ false

Rule argument

indvar: i→n(i) wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: i→n(i)