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Proof step 73 from proof bitsand-cast (previous step)

# bitsand(boolvar ' + boolvar0 ' + bits1, bits0) ≤ n ∧ bitsand(boolvar ' + boolvar0 ' + bits1, bits0) ≠ [], n = # ( mklist(bitsand(boolvar ' + boolvar0 ' + bits1, bits0).first, n - # bitsand(boolvar ' + boolvar0 ' + bits1, bits0)) + bitsand(boolvar ' + boolvar0 ' + bits1, bits0)), sgn(mklist(boolvar, n0 - 1) + boolvar ' + boolvar0 ' + bits1) = boolvar ' + boolvar0 ' + bits1, n = # fillsgn(n, mklist(boolvar, n0 - 1) + boolvar ' + boolvar0 ' + bits1), n0 + 1 + # bits1 < (n0 - 1) + # bitsand(boolvar ' + boolvar0 ' + bits1, bits0), # bits0 ≤ 2 + # bits1, bits0.first, n0 + 1 + # bits1 < n, n ≤ (n0 - 1) + # bitsand(boolvar ' + boolvar0 ' + bits1, bits0), # bitsand(boolvar ' + boolvar0 ' + bits1, bits0) < n ⊦ n0 - 1 = 0, bits0 = [], mklist(bitsand(boolvar ' + boolvar0 ' + bits1, bits0).first, n - # bitsand(boolvar ' + boolvar0 ' + bits1, bits0)) + bitsand(boolvar ' + boolvar0 ' + bits1, bits0) = lastn(n, mklist(boolvar, n0 - 1) + bitsand(boolvar ' + boolvar0 ' + bits1, bits0)), n0 = 0, boolvar ↔ boolvar0, boolvar ∧ boolvar0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: and-notempty-02: ⊦ bits0 ≠ [] → bitsand(boolvar ' + bits, bits0) ≠ [];% ⊦ m < n → m ≤ n;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ m + n = n + m;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ n < m → (m - n) + n = m;% ⊦ # mklist(boolvar, n) = n;% ⊦ #(bits + bits0) = # bits + # bits0;