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Proof step 32 from proof band-011x-pos (previous step)

0 < j ∧ j ≠ 1, 0 ≤ j, 0 < i, ∀ j0, i. i→n(j0) < i→n(j) → 0 ≤ j0 ∧ 0 ≤ j0 ∧ 0 ≤ i → bits2int(bitsand(false ' + mklist(true, i→n(i)), uint2bits(j0))) = j0 % 2 ^ i ⊦ i = 0, bits2int(bitsand(false ' + mklist(true, i→n(i)), uint2bits(j / 2) + (j % 2 = 1))) = j % 2 ^ i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 33:
0 < j, 0 ≤ j, 0 < i, ∀ j0, i. i→n(j0) < i→n(j) → 0 ≤ j0 ∧ 0 ≤ j0 ∧ 0 ≤ i → bits2int(bitsand(false ' + mklist(true, i→n(i)), uint2bits(j0))) = j0 % 2 ^ i ⊦ j = 1, i = 0, bits2int(bitsand(false ' + mklist(true, i→n(i)), uint2bits(j / 2) + (j % 2 = 1)')) = j % 2 ^ i

Rule argument

Additional information

Used simplifier rules: ⊦ bits + boolvar = bits + boolvar ';