| uint2bits(j / 2 - 1) = sgn(bitsinvert(bitsinvert(uint2bits(j / 2)) +1)), j % 2 = 0, 1 < j, 0 < j, 0 ≤ j, ∀ j0. i→n(j0) < i→n(j) → 0 < j0 → uint2bits(j0 - 1) = sgn(bitsinvert(bitsinvert(uint2bits(j0)) +1)) ⊦ uint2bits(j / 2 - 1) + ((j - 1) % 2 = 1)' = sgn(bitsinvert(bitsinvert(uint2bits(j / 2)) +1) + true '), j = 2 |
j % 2 = 0, 1 < j, 0 < j, 0 ≤ j, ∀ j0. i→n(j0) < i→n(j) → 0 < j0 → uint2bits(j0 - 1) = sgn(bitsinvert(bitsinvert(uint2bits(j0)) +1)) ⊦ sgn(bitsinvert(bitsinvert(uint2bits(j / 2)) +1)) + ((j - 1) % 2 = 1)' = sgn(bitsinvert(bitsinvert(uint2bits(j / 2)) +1) + true '), j = 2