| # bits0 ≤ # bits1 ∧ bits0 ≠ [] ∧ bits0.first, mklist(true, # bits1) = bits1, # bits0 < # bits1, bits0.first ⊦ bits1 = [], lastn(# bits1, fillsgn(# bits1, bits0)) = lastn(# bits1, fillsgn(# bits1, bits2 + bitsand(bits1, bits0))), bits0 = [], bits2 + bits1 = [] |
mklist(true, # bits1) = bits1, # bits0 < # bits1, bits0.first ⊦ bits2 + bits1 = [], bits0 = [], bits1 = [], lastn(# bits1, mklist(true, # bits1 - # bits0) + bits0) = lastn(# bits1, fillsgn(# bits1, bits2 + bitsand(bits1, bits0)))
Used simplifier rules: ⊦ m < n → m ≤ n;%⊦ # bits ≤ n ∧ bits ≠ [] → fillsgn(n, bits) = mklist(bits.first, n - # bits) + bits;