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Proof step 184 from proof bitsand-cast (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 185:
n = # fillsgn(n, mklist(false, n0 - 1) + false ' + true ' + bits1), sgn(mklist(false, n0 - 1) + false ' + true ' + bits1) = false ' + true ' + bits1, 2 + # bits1 = # bits, n0 + 1 + # bits1 < n ⊦ n0 = 0, lastn(n, fillsgn(n, bitsand(bits, false ' + true ' + bits1))) = lastn(n, fillsgn(n, bitsand(mklist(false, n0 - 1), bits2) + bitsand(false ' + true ' + bits1, bits))), bits2 + bits = [], bits2 = [], n0 - 1 = 0

Rule argument

Additional information

Used simplifier rules: ⊦ m + n = n + m;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ mklist(boolvar, m) = [] ↔ m = 0;% ⊦ boolvar ' + bits ≠ [];% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ # boolvar ' = 0 +1;% ⊦ #(bits + bits0) = # bits + # bits0;