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Proof step 405 from proof bitsand-cast (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 406:
sgn(mklist(true, n - 1) + true ' + false ' + bits) = true ' + false ' + bits, # bits1 = 2 + # bits ⊦ lastn(n + 1 + # bits, fillsgn(n + 1 + # bits, bits3 + bitsand(bits1, true ' + false ' + bits))) = lastn(n + 1 + # bits, fillsgn(n + 1 + # bits, bitsand(bits3, bits2 + mklist(true, n - 1)) + bitsand(bits1, true ' + false ' + bits))), n = 0, bits3 + bits1 = [], bits1 = [], bits2 + mklist(true, n - 1) = [], bits3 = []

Rule argument

Additional information

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