| 0 + # int2bits(i / 2) ≤ #(false ' + mklist(false, i→n(i0)) + int2bits(i / 2)), 0 ≤ i, i0 < 31, 0 ≤ i, 0 ≤ i0, 1 < i, 0 < i ⊦ bits2int ( sublist(0, # int2bits(i / 2), false ' + mklist(false, i→n(i0)) + int2bits(i / 2)) + ((false ' + mklist(false, i→n(i0)) + int2bits(i / 2)) + (i % 2 = 1)')[# int2bits(i / 2)] ') = bits2int(sublist(0, # int2bits(i / 2), mklist(false, i→n(i0)) + int2bits(i / 2))) |
i0 < 31, 0 ≤ i, 0 ≤ i0, 1 < i, 0 < i ⊦ bits2int ( sublist(0, # int2bits(i / 2), false ' + mklist(false, i→n(i0)) + int2bits(i / 2)) + ((false ' + mklist(false, i→n(i0)) + int2bits(i / 2)) + (i % 2 = 1)')[# int2bits(i / 2)] ') = bits2int(sublist(0, # int2bits(i / 2), mklist(false, i→n(i0)) + int2bits(i / 2)))
Used simplifier rules: ⊦ m ≤ m + n;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ # mklist(boolvar, n) = n;% ⊦ # boolvar ' = 0 +1;% ⊦ #(bits + bits0) = # bits + # bits0;% ⊦ 0 + m = m;% ⊦ m + n = n + m;% ⊦ (m + n0) + n1 = m + n0 + n1;