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Proof step 123 from proof bitsand-cast (previous step)

¬ false ∈ mklist(true, m) ∧ # bits2 ≤ # mklist(true, m) ∧ bits2.first ∧ bits2 ≠ [], # bits = 2 + # bits1, n = # fillsgn(n, mklist(true, m) + true ' + false ' + bits1), sgn(mklist(true, m) + true ' + false ' + bits1) = true ' + false ' + bits1, # bits2 < m, 2 + # bits1 + m < n ⊦ bits2 = [], bits = [], bits2 + bits = [], lastn(n, fillsgn(n, bits2 + bitsand(bits, true ' + false ' + bits1))) = lastn(n, fillsgn(n, fillsgn(# mklist(true, m), bits2) + bitsand(bits, true ' + false ' + bits1)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 124:
# bits = 2 + # bits1, n = # fillsgn(n, mklist(true, m) + true ' + false ' + bits1), sgn(mklist(true, m) + true ' + false ' + bits1) = true ' + false ' + bits1, bits2.first, # bits2 < m, 2 + # bits1 + m < n ⊦ bits2 = [], bits = [], bits2 + bits = [], lastn(n, fillsgn(n, bits2 + bitsand(bits, true ' + false ' + bits1))) = lastn(n, fillsgn(n, fillsgn(m, bits2) + bitsand(bits, true ' + false ' + bits1)))

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ false ∈ mklist(true, n);% ⊦ m < n → m ≤ n;% ⊦ # mklist(boolvar, n) = n;