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Proof step 482 from proof bitsand-cast (previous step)

# mklist(true, # bits0) ≤ # bits0 ∧ mklist(true, # bits0) ≠ [] ∧ mklist(true, # bits0).first, sgn(mklist(true, # bits0) + true ' + false ' + bits) = true ' + false ' + bits, # bits1 = 2 + # bits ⊦ bits4 = [], (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, (bits4 + bitsand(bits0, mklist(true, # bits0))) + bitsand(bits1, true ' + false ' + bits))), bits0 = [], bits4 + bits0 = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 483:
sgn(mklist(true, # bits0) + true ' + false ' + bits) = true ' + false ' + bits, # bits1 = 2 + # bits, mklist(true, # bits0).first ⊦ bits4 = [], (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, (bits4 + bitsand(bits0, mklist(true, # bits0))) + bitsand(bits1, true ' + false ' + bits))), bits0 = [], bits4 + bits0 = []

Rule argument

Additional information

Used simplifier rules: ⊦ m ≤ m;% ⊦ # mklist(boolvar, n) = n;% ⊦ # bits = 0 ↔ bits = [];% ⊦ mklist(boolvar, m) = [] ↔ m = 0;