| ¬(false ' + true ' ≠ [] ∧ int2bits(j) = true '), 1 < bits2int(bitsand(false ' + true ', int2bits(j))), 0 < bits2int(bitsand(false ' + true ', int2bits(j))), ∀ i0, j. i→n(i0) < i→n(1) → i0 < bits2int(bitsand(int2bits(i0), int2bits(j))) ∧ 0 ≤ i0 → false ⊦ |
1 < bits2int(bitsand(false ' + true ', int2bits(j))), 0 < bits2int(bitsand(false ' + true ', int2bits(j))), ∀ i0, j. i→n(i0) < i→n(1) → i0 < bits2int(bitsand(int2bits(i0), int2bits(j))) ∧ 0 ≤ i0 → false ⊦ j = ~1
Used simplifier rules: ⊦ int2bits(j) = true ' ↔ j = ~1;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ boolvar ' ≠ [];% ⊦ ¬ bits + bits0 ≠ [] ↔ bits = [] ∧ bits0 = [];