| # int2bits(i) ≤ # bits ∧ int2bits(i) ≠ [] ∧ ¬ int2bits(i).first, # bits = 8, int2bits(j) = bits0 + bits, 7 = # fillsgn(7, int2bits(i)), # int2bits(i) < 8, 0 ≤ i ⊦ bits0 + bits = [], lastn(8, fillsgn(8, bitsand(bits, int2bits(i)))) = lastn(8, fillsgn(8, bitsand(bits, false ' + fillsgn(7, int2bits(i))))) |
7 = # fillsgn(7, int2bits(i)), int2bits(j) = bits0 + bits, # bits = 8, 0 ≤ i, # int2bits(i) < 8 ⊦ lastn(8, fillsgn(8, bitsand(bits, int2bits(i)))) = lastn(8, fillsgn(8, bitsand(bits, false ' + fillsgn(7, int2bits(i))))), bits0 + bits = []
Used simplifier rules: ⊦ m < n → m ≤ n;% ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j;% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ int2bits(j).first ↔ j < 0;% ⊦ int2bits(j) ≠ [];