| ¬ i→n(i0) - i→n(i) ≤ # mklist(¬ 0 ≤ j, i→n(i0) - # int2bits(j)), # int2bits(j) < i→n(i0), # int2bits(j) < i→n(i), 1 < i0, 0 < i0, 0 < i, i < i0, i ≤ i0, ¬ 0 ≤ j → j < 0 ⊦ bits2int(restn(i→n(i0) - i→n(i), mklist(¬ 0 ≤ j, i→n(i0) - # int2bits(j)) + int2bits(j))) = j, i→n(i0) = # int2bits(j), mklist(¬ 0 ≤ j, i→n(i) - # int2bits(j)) + int2bits(j) = [], i = 0, i0 = 0 |
# int2bits(j) < i→n(i0), # int2bits(j) < i→n(i), 1 < i0, 0 < i0, 0 < i, i < i0, i ≤ i0, (i→n(i0) - # int2bits(j)) + i→n(i) < i→n(i0), ¬ 0 ≤ j → j < 0 ⊦ bits2int(restn(i→n(i0) - i→n(i), mklist(¬ 0 ≤ j, i→n(i0) - # int2bits(j)) + int2bits(j))) = j, i→n(i0) = # int2bits(j), mklist(¬ 0 ≤ j, i→n(i) - # int2bits(j)) + int2bits(j) = [], i = 0, i0 = 0
Used simplifier rules: ⊦ ¬ m ≤ n ↔ n < m;%n0 ≤ n ⊦ n - n0 ≤ m ↔ n ≤ m + n0;% ⊦ i→n(i) ≤ i→n(j) ↔ abs(i) ≤ abs(j);% ⊦ 0 < j → abs(j) = j;% ⊦ 1 < i → abs(i) = i;% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i < j → ¬ j < i;% ⊦ # mklist(boolvar, n) = n;