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Proof step 13 from proof bitsand-cast-04 (previous step)

bits = boolvar + bits0, # bits1 < n0 + # bits ⊦ n0 = 0, bits = [], sgn(bitsand(lastn(n0 + # bits, mklist(boolvar, n0) + bits), false ' + bits1)) = sgn(bitsand(bits, false ' + bits1))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
# bits1 ≤ # bits0 + n0 ⊦ n0 = 0, sgn(bitsand(lastn((1 + # bits0) + n0, mklist(boolvar, n0) + boolvar ' + bits0), false ' + bits1)) = sgn(bitsand(boolvar ' + bits0, false ' + bits1))

Rule argument

Additional information

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