| i < bits2int(bitsand(int2bits(i), int2bits(j))), 0 ≤ i, 0 < bits2int(bitsand(int2bits(i), int2bits(j))), ∀ i0, j. i→n(i0) < i→n(i) → i0 < bits2int(bitsand(int2bits(i0), int2bits(j))) ∧ 0 ≤ i0 → false ⊦ |
⊦ 1 < i → int2bits(i) = int2bits(i / 2) + (i % 2 = 1)
¬ 1 < i, i < bits2int(bitsand(int2bits(i), int2bits(j))), 0 ≤ i, 0 < bits2int(bitsand(int2bits(i), int2bits(j))), ∀ i0, j. i→n(i0) < i→n(i) → i0 < bits2int(bitsand(int2bits(i0), int2bits(j))) ∧ 0 ≤ i0 → false ⊦
1 < i, i < bits2int(bitsand(int2bits(i / 2) + (i % 2 = 1), int2bits(j))), 0 ≤ i, 0 < bits2int(bitsand(int2bits(i / 2) + (i % 2 = 1), int2bits(j))), ∀ i0, j. i→n(i0) < i→n(i) → i0 < bits2int(bitsand(int2bits(i0), int2bits(j))) ∧ 0 ≤ i0 → false ⊦
Used terms: i