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Proof step 25 from proof bitsand-cast-04 (previous step)

∃ bits3, bits2. bits0 = bits3 + bits2 ∧ # bits2 = 1 + # bits1, # 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 = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 26:
# bits = 1 + # bits1, # bits1 ≤ (# bits2 + # bits) + n0, # bits1 < # bits2 + # bits ⊦ # bits1 = # bits2 + # bits, n0 = 0, sgn(bitsand(mklist(boolvar, n0) + boolvar ' + bits2 + bits, false ' + bits1)) = sgn(bitsand(boolvar ' + bits2 + bits, false ' + bits1)), bits2 + bits = []

Rule argument

Additional information

Used simplifier rules: ⊦ m ≤ m + n;% ⊦ m < n → n ≠ 0;% ⊦ m < n → n ≠ 0; (forward)% ⊦ m + n = n + m;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m = n + 1 ∧ n < n0 → m ≤ n0; (forward)% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ #(bits + bits0) = # bits + # bits0;