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Proof step 22 from proof bitsand-cast-04 (previous step)

# bits1 ≤ # bits0, # bits1 ≤ # bits0 + n0 ⊦ # bits1 = # bits0, n0 = 0, sgn(bitsand(mklist(boolvar, n0) + boolvar ' + bits0, false ' + bits1)) = sgn(bitsand(boolvar ' + bits0, false ' + bits1))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 23:
# bits1 < # bits0, # bits1 ≤ # bits0 + n0 ⊦ sgn(bitsand(mklist(boolvar, n0) + boolvar ' + bits0, false ' + bits1)) = sgn(bitsand(boolvar ' + bits0, false ' + bits1)), n0 = 0, # bits1 = # bits0, bits0 = []

Rule argument

Additional information

Used simplifier rules: ⊦ # bits = 0 ↔ bits = [];% ⊦ m < n → n ≠ 0; (forward)% ⊦ m ≠ n → (m ≤ n ↔ m < n);