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Proof step 28 from proof bitsand-cast-04 (previous step)

# 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 29:
# bits0 < # bits1, # bits1 ≤ # bits0 + n0 ⊦ sgn(bitsand(mklist(boolvar, n0) + boolvar ' + bits0, false ' + bits1)) = sgn(bitsand(boolvar ' + bits0, false ' + bits1)), n0 = 0, bits1 = []

Rule argument

Additional information

Used simplifier rules: ⊦ m + n = n + m;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m < m + n ↔ n ≠ 0;% ⊦ # bits = 0 ↔ bits = [];% ⊦ m < n → n ≠ 0; (forward)% ⊦ m < n ∧ n ≤ n0 → m < n0; (forward)% ⊦ ¬ m ≤ n ↔ n < m;