| ¬(# int2bits(j) ≤ i→n(i0) ∧ int2bits(j) ≠ []), i→n(i) ≤ # int2bits(j), i < i0, 0 < i, 0 < i0, 1 < i0, i ≤ i0 ⊦ i0 = 0, i = 0, bits2int(lastn(i→n(i), fillsgn(i→n(i0), int2bits(j)))) = bits2int(lastn(i→n(i), int2bits(j))) |
i→n(i0) < # int2bits(j), i ≤ i0, 1 < i0, 0 < i0, 0 < i, i < i0, i→n(i) ≤ # int2bits(j) ⊦ bits2int(lastn(i→n(i), fillsgn(i→n(i0), int2bits(j)))) = bits2int(lastn(i→n(i), int2bits(j))), i = 0, i0 = 0
Used simplifier rules: ⊦ # bits = 0 ↔ bits = [];% ⊦ m < n → n ≠ 0; (forward)% ⊦ int2bits(j) ≠ [];% ⊦ ¬ m ≤ n ↔ n < m;