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Proof step 26 from proof band-011x-pos (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
0 < i, ∀ j0, i. i→n(j0) < i→n(1) → 0 ≤ j0 ∧ 0 ≤ j0 ∧ 0 ≤ i → bits2int(bitsand(false ' + mklist(true, i→n(i)), uint2bits(j0))) = j0 % 2 ^ i ⊦ i = 0, 1 = 1 % 2 ^ i

Rule argument

Additional information

Used simplifier rules: ⊦ boolvar ' + bits ≠ [];% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ bits2uint(true ') = 1;% ⊦ bits2int(false ' + bits) = bits2uint(bits);