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Proof step 220 from proof bitsand-cast (previous step)

¬(¬ bits2.first ∧ # bits2 ≤ # mklist(false, m) ∧ bits2 ≠ []), sgn(mklist(false, m) + false ' + true ' + bits1) = false ' + true ' + bits1, n = # fillsgn(n, mklist(false, m) + false ' + true ' + bits1), n = # fillsgn(n, bitsand(bits, false ' + true ' + bits1)), # bits2 < # bitsand(mklist(false, m), bits2), 2 + # bits1 + m < n, n < (2 + # bits1) + # bitsand(mklist(false, m), bits2), m + 1 < # bitsand(mklist(false, m), bits2), m < # bitsand(mklist(false, m), bits2), # bits2 < m, # bits2 + 1 < # bitsand(mklist(false, m), bits2) ⊦ bits2 = [], n = # fillsgn(n, bitsand(mklist(false, m), bits2) + bitsand(bits, false ' + true ' + bits1)), bits = [], bits2 + bits = [], fillsgn(n, bitsand(bits, false ' + true ' + bits1)) = lastn(n, fillsgn(n, bitsand(mklist(false, m), bits2) + bitsand(bits, false ' + true ' + bits1)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ m + n = n + m;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m < n → ¬ n < m;% ⊦ ¬ m ≤ n ↔ n < m;% ⊦ # mklist(boolvar, n) = n;