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Proof step 595 from proof bitsand-cast (previous step)

#(false ' + true ' + bits) = # bits1 ∧ bits2 + mklist(false, n - 1) ≠ [] ∧ bits3 ≠ [] ∧ false ' + true ' + bits ≠ [], sgn(mklist(false, n - 1) + false ' + true ' + bits) = false ' + true ' + bits, # bits1 = 2 + # bits ⊦ n = 0, lastn(n + 1 + # bits, fillsgn(n + 1 + # bits, bitsand(bits1, false ' + true ' + bits))) = lastn(n + 1 + # bits, fillsgn(n + 1 + # bits, bitsand(bits2 + mklist(false, n - 1), bits3) + bitsand(false ' + true ' + bits, bits1))), bits3 = [], bits3 + bits1 = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 596:
sgn(mklist(false, n - 1) + false ' + true ' + bits) = false ' + true ' + bits, 2 + # bits = # bits1 ⊦ n = 0, lastn(n + 1 + # bits, fillsgn(n + 1 + # bits, bitsand(bits1, false ' + true ' + bits))) = lastn(n + 1 + # bits, fillsgn(n + 1 + # bits, bitsand(bits2 + mklist(false, n - 1), bits3) + bitsand(false ' + true ' + bits, bits1))), bits3 + bits1 = [], bits3 = [], bits2 + mklist(false, n - 1) = []

Rule argument

Additional information

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