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Proof step 109 from proof bitsand-cast (previous step)

# bits = #(true ' + false ' + bits1) ∧ bits2 ≠ [] ∧ mklist(true, n0 - 1) ≠ [] ∧ bits ≠ [], # bits = 2 + # bits1, sgn(mklist(true, n0 - 1) + true ' + false ' + bits1) = true ' + false ' + bits1, n = # fillsgn(n, mklist(true, n0 - 1) + true ' + false ' + bits1), n0 + 1 + # bits1 < n ⊦ bits2 = [], lastn(n, fillsgn(n, bits2 + bitsand(bits, true ' + false ' + bits1))) = lastn(n, fillsgn(n, bitsand(bits2, mklist(true, n0 - 1)) + bitsand(bits, true ' + false ' + bits1))), n0 = 0, bits2 + bits = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 110:
sgn(mklist(true, n0 - 1) + true ' + false ' + bits1) = true ' + false ' + bits1, n = # fillsgn(n, mklist(true, n0 - 1) + true ' + false ' + bits1), # bits = 2 + # bits1, n0 + 1 + # bits1 < n ⊦ bits2 = [], lastn(n, fillsgn(n, bits2 + bitsand(bits, true ' + false ' + bits1))) = lastn(n, fillsgn(n, bitsand(bits2, mklist(true, n0 - 1)) + bitsand(bits, true ' + false ' + bits1))), n0 = 0, bits2 + bits = [], bits = [], n0 - 1 = 0

Rule argument

Additional information

Used simplifier rules: ⊦ mklist(boolvar, m) = [] ↔ m = 0;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ # boolvar ' = 0 +1;% ⊦ #(bits + bits0) = # bits + # bits0;