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Proof step 491 from proof bitsand-cast (previous step)

sgn(mklist(true, # bits0) + true ' + false ' + bits) = true ' + false ' + bits, # bits1 = 2 + # bits ⊦ bits2 = [], (bits4 + bits0) + bits1 = [], bits1 = [], lastn(2 + # bits + # bits0, fillsgn(2 + # bits + # bits0, (bits4 + bits0) + bitsand(bits1, true ' + false ' + bits))) = lastn (2 + # bits + # bits0, fillsgn(2 + # bits + # bits0, bitsand(bits2 + mklist(true, # bits0), bits4 + bits0) + bitsand(bits1, true ' + false ' + bits))), bits2 + mklist(true, # bits0) = [], bits4 + bits0 = [], bits4 = [], bits2 ≠ [] ∧ bits0 ≠ []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 492:
# bits1 = 2 + # bits ⊦ bits4 = [], bits2 = [], lastn(# bits1, fillsgn(# bits1, bits4 + bitsand(bits1, true ' + false ' + bits))) = lastn(# bits1, fillsgn(# bits1, bitsand(bits2, bits4) + bitsand(bits1, true ' + false ' + bits))), bits1 = [], bits4 + bits1 = []

Rule argument

Additional information

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