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

# int2bits(i) = # int2bits(j) ∧ bits2int(bitsand(int2bits(i), int2bits(j))) < i0 ∧ i ≤ 0 ∧ j ≤ 0 ∧ i0 + 2 ^ n→i(# int2bits(j)) ≤ 0, ∀ i0, j, i1. i→n(i1) < i→n(i) → # int2bits(i1) = # int2bits(j) ∧ bits2int(bitsand(int2bits(i1), int2bits(j))) < i0 ∧ i1 ≤ 0 ∧ j ≤ 0 ∧ i0 + 2 ^ n→i(# int2bits(j)) ≤ 0 → false ⊦ false

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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