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Proof step 660 from proof bitsand-cast (previous step)

# bits3 ≤ # mklist(false, m) ∧ bits3 ≠ [] ∧ ¬ bits3.first, # bits3 ≤ m, sgn(mklist(false, m) + false ' + true ' + bits) = false ' + true ' + bits, 2 + # bits = # bits1, # bits1 = # bitsand(bits1, false ' + true ' + bits) ⊦ bits3 + bits1 = [], bits3 = [], bits2 + mklist(false, m) = [], bits1 = [], mklist(false, m) + bitsand(bits1, false ' + true ' + bits) = lastn(2 + # bits + m, fillsgn(2 + # bits + m, bitsand(mklist(false, m), bits3) + bitsand(false ' + true ' + bits, bits1)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 661:
sgn(mklist(false, m) + false ' + true ' + bits) = false ' + true ' + bits, 2 + # bits = # bits1, # bits1 = # bitsand(bits1, false ' + true ' + bits), # bits3 ≤ m ⊦ bits3 + bits1 = [], bits2 + mklist(false, m) = [], bits1 = [], mklist(false, m) + bitsand(bits1, false ' + true ' + bits) = lastn(2 + # bits + m, fillsgn(2 + # bits + m, bitsand(mklist(false, m), bits3) + bitsand(false ' + true ' + bits, bits1))), bits3 = [], bits3.first

Rule argument

Additional information

Used simplifier rules: ⊦ # mklist(boolvar, n) = n;